diff --git a/.gitattributes b/.gitattributes index f2cc39c..ce1e696 100644 --- a/.gitattributes +++ b/.gitattributes @@ -2,4 +2,6 @@ # Without -text, Windows checkouts CRLF-convert these files and their pinned # SHA-256 hashes (tests/test_reference_integrity.py) no longer match. validation/PBTESTDATABASE_T100.csv -text +validation/PBTESTKNOWNEFFECTS_T100.csv -text +validation/aco_per_capita_expenditure.csv -text tests/fixtures/bishop_analyses/*.json -text diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index a3cf278..db52b32 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -72,9 +72,10 @@ jobs: docs/tutorials/sds1-complete-analysis.ipynb \ --tb=short - name: Validate against Bishop's reference results (ubuntu / 3.13 only) - # The 280-assertion ground-truth check. It lives outside tests/ because - # it also renders a report, but nothing was running it — so a drift in - # the numbers the README advertises would have gone unnoticed. + # The ground-truth check: PB against every VAS run of Dr. Bishop's on hand + # (tests/fixtures/bishop_analyses/). It lives outside tests/ because it + # also renders a report, but nothing was running it — so a drift in the + # numbers the README advertises would have gone unnoticed. if: matrix.os == 'ubuntu-latest' && matrix.python-version == '3.13' run: python validation/e2e_bishop_report.py diff --git a/CHANGELOG.md b/CHANGELOG.md index 28addca..e7a1a38 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -7,6 +7,128 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0 ## [Unreleased] +This release aligns the library with Bishop's VAS documentation manual dated 10-1-2026 and +reproduces his VAS run of 3 October 2026 (PM SDS, PM INERT and Medicare decks). Equation +numbers below are that manual's. + +### Changed +- **R6's factor-level effect leaves out R2's level mean, as VAS does.** R6 = α_i + R2 with α_i the + condition effects ρ̂_k = R5 - R2 averaged over the level (was the level's mean of R5, which also + carries the level's average R2; the 10-1 manual's Eq 14-24 writes it that way, "≈ α_i"). ADS 1 is + unchanged (R2 averages to zero in each cell); on ADS 2/3 the effect moves by the level's mean R2, + which shows when levels are small: Tom's Medicare run centres the organisation-effects chart at + 10831.1 (PB was 10829.8, now 10831.1). +- **R2 for designs with a one-observation subgroup (ADS 2 and 3) follows the 10-1 manual.** + The data are first stripped of the process mean and the condition and period effects + (Z = Y − Ȳ_k − Ȳ_t + Ȳ, Eq 14-4 / 14-9), Z is differenced along the condition-then-time + sequence, and the difference is divided by twice the R2 scale factor + c(K, M) = √((K − 1)/(2K) · (1 − K/(M − 1))), computed from the layout (Eqs 14-5..14-13). + Previously R2 was half the difference of consecutive raw values, so every step from one + condition's last period to the next condition's first carried the level difference between + them, a common trend was read as noise, and the result sat on a smaller scale than σ. R3–R6, + the effects, maximum information and potential capability follow. PM SDS 2 R2 chart limits + ±1.94 → ±2.76, PM SDS 3 ±2.47 → ±3.70, potential Cp on PM SDS 2 (specs 232/242) + 2.51 → 1.78; on the Medicare ACO file the R2 σ falls from about 1,023 to 300 and the + organisation chart (recentred R5 by ACO) flags 19 of 24 organisations instead of 8. ADS 1 + R2 (within-cell deviation, Eq 14-3) is unchanged. `calculate_r2` now dispatches on + `r2_method` and takes `n_conditions`; its `n_per_cell` argument is gone. +- **Taguchi loss follows the 10-1 manual.** ADS 1 unexplained loss is the average cell + variance (1/KT)·ΣS²_kt, without dividing each S_kt by c4 (Eq 15-16). ADS 2/3 unexplained + loss is the sample variance of R2 (Eq 15-17; the 1/0.7 correction is gone), and the + interaction is what the other parts leave of the total loss (Ȳ − T)² + S², set to 0 when + negative (Eqs 15-18..15-20), so the parts add to the total. PM SDS 1 at target 237: + unexplained 23.0% → 20.9%, interaction 43.3% → 44.5%; PM SDS 2: interaction 42.5% → 25.6%, + unexplained 23.6% → 30.0%; pure noise (PM INERT) now shows 0% interaction in ADS 2/3. +- **Re-centred residuals are the residual plus the grand mean (Eq 14-26).** RCR3, RCR4 and + RCR5 were "reconstructed Y" (each algebraically Ȳ_kt + R2), so a recentred interaction + chart plotted close to the raw cell means. They now plot the effect plus R2 on the + measurement scale, as VAS does; RCR2 is unchanged. Xbar means by condition (RCR5) or + period (RCR4) are unchanged on complete designs; period effects are charted from R4. +- **ADS 3 recommends the Xbar chart** (was X): Xbar/S is VAS's default for SDS 3 and 6. +- **Capability is centred on the process mean as VAS computes it**: the unweighted mean of the + (factor × time) cell means, the same centre as the Xbar chart and the loss function, instead + of the plain average of the readings. `CapabilityResult.y_bar`, current PPL/PPU and the + potential centre (ȳ + mean(R2)) move when cells have different sizes (SDS 3, 4, 6); balanced + designs are unchanged. PM SDS 6 now reads PROCESS MEAN 237.86 and PPL 1.102 / PPU 0.78, as + Tom's VAS run does (was 237.834, 1.098 / 0.784). +- **Validation gate re-referenced to Tom's 3 October 2026 VAS run** + (`validation/e2e_bishop_report.py`, `tests/fixtures/bishop_analyses/`). PM SDS 3 is checked + as Xbar/S, as VAS now draws it; its limits vary with subgroup size and are not printed on the + slides, so they carry no reference yet. The gate now reports 254 assertions passing and 61 + with no reference value (was 280 / 35); PB's side is compared at full precision. +- **The validation gate covers every VAS run on hand** (14 runs, 1155 assertions, was 3 runs and + 254): PM SDS 1-6, PM INERT SDS 1-6 (the pure-noise column with each design state's missing-data + pattern), Tom's known-effects data (`validation/PBTESTKNOWNEFFECTS_T100.csv`, SDS 1) and the + Medicare ACO data (`validation/aco_per_capita_expenditure.csv`, 24 organisations x 4 years). Each + run's reference values, spec limits and target are in its own file, + `tests/fixtures/bishop_analyses/.json` (the `vassds{1,2,3}analysis.json` references are + now `pm_sds_{1,2,3}.json`). All six PM runs use target 237; PM SDS 5's loss shares come from + Tom's rerun at 237 (8 October 2026), because his 10/3 run used the process mean. +- **Limits VAS prints as "UNEQUAL" are checked against the lines it draws.** Where subgroup sizes + differ, VAS steps the limits per subgroup and prints no value; the gate now reads every + subgroup's LBL/UBL from the red limit lines in the VAS chart drawing (scaled by the y-axis ticks, + good to about one drawing unit) and compares PB subgroup by subgroup, to 1.5 drawing units. 186 + charts in SDS 3-6; the gate reports 1475 assertions passing, 0 failing, and 79 with no + reference (was 1155 / 0 / 399). +- **The R6 S charts are checked wherever VAS computed them correctly.** VAS's αN + (Eq 10-12) used Minitab's GAMMA function, which overflows above N = 343; the 10/3 VAS runs held + αN at 0.9995 from there on, so their S limits followed N = 500 whatever the subgroup size. + Dr. Bishop confirmed it (8 October 2026) and is replacing it with a table; PB computes αN + with log-gamma for any N. The gate now checks the R6 S charts whose subgroups are under 343 (all + match), the factor S charts' centerlines (one subgroup per factor level, as Dr. Bishop confirmed), + and PM SDS 5's loss shares from his rerun at 237; only the limits for subgroups of 343 or more + wait for his rerun. The references' notes now give that cause. + +### Added +- **R2 is reported unavailable, with the reason, when the R2 scale factor is undefined** + (fewer than two process design conditions, or M < K + 2 observations). `formulate()` warns; + R2–R6 are not offered; `execute()` and `why_not()` give the reason; `loss_function()` and + `maximum_information()` raise `ValidationError`; `capability()` reports potential capability + unavailable. Previously these layouts produced half-differences of the raw data. +- **`CapabilityResult.potential_center`**: the centre of the potential values, ȳ + mean(R2). + Potential CPL/CPU and the potential chart's centre line use it, as VAS does (Medicare potential + PPU 5.74; ȳ alone gives 5.73). It equals ȳ in ADS 1. + +### Fixed +- **Xbar and S charts with subgroups of unequal size follow the 10-1 manual (Eqs 11-5, 11-16, + 11-17).** sigma-hat is the average of each subgroup's S_r / c4(N_r) (was S-bar / c4(N_r)), and each + subgroup's limits use its own N_r, so they step with subgroup size, as VAS draws them. N_r now + counts the values the chart is drawn from (was the response's count): on ADS 2 and 3 residual + charts, R2's blank first value leaves one subgroup one smaller. Equal-size charts are unchanged. + Found on Tom's Medicare run (slides 52-53): ACO-001 has 3 R6 values, and its limits are wider by + sqrt(4/3) on the Xbar chart and use B4(3) on the S chart. +- **Xbar charts include one-reading subgroups, as VAS draws them.** A subgroup with one value has + no S, so it takes no part in sigma-hat, but it is charted with limits centre ± 3 sigma-hat + (Eqs 11-16/17 with N_r = 1); it was left off the chart. The companion S chart still leaves it + out. On PM SDS 3 the Xbar chart now has all 800 subgroups (was 783) and on PM SDS 6 all 772 + (was 642), matching the limit lines in Tom's VAS run subgroup by subgroup; on PM SDS 6's + interaction chart the one cell whose single reading has no R2 stays off, as in VAS. Designs + without one-reading subgroups (ADS 1) are unchanged. +- **Per-stratum Xbar centre lines count one-observation subgroups.** The centre is Bishop's + unweighted mean of every subgroup mean; subgroups with n = 1 were dropped before it was + taken, which moved four of the eight PM SDS 3 per-condition centres by 0.01–0.04. +- **Documented: PB keeps αN exact above N = 5000.** The manual (footnote to Eq 10-12) and + VAS set αN = 1 for N > 5000, which puts an S chart's limits on its centerline for + subgroups that large. PB's `c4` stays exact for every N, so the limits close in gradually (S̄ ± 3% + at N = 5000, ± 1.5% at 20,000). It is a deliberate difference, decided on 8 October + 2026, and only S charts with subgroups of more than 5000 values are affected. +- **Code and docs cite the manual's Chapters 10 and 12.** The X/mR limits and constants + (Eqs 12-1..12-11), c4 and the S-chart factors (Eqs 10-12, 10-13, 10-15), the cell and marginal + means (Eqs 10-8, 10-10) and the model the residuals estimate (Eq 10-3) now cite the 10-1 manual + where the code computes exactly those equations; dotted citations ("Eq 12.4") and an older + manual's numbering in a test are gone. `tests/test_manual_citations.py` keeps one citation form, + and CONTRIBUTING.md describes it. The residuals guide now says Ȳ is the mean of the cell means. +- **Bishop's methodology is called the Variation Analysis System**, as his VAS documentation + manual names it (was "Variance Analysis System" in the README, docs, CITATION.cff, docstrings and + the design report's VAS line). The synthetic-data module no longer credits the design states to + Wheeler. +- **Docs:** the three note blocks in the chart-types and design-state guides now render on the + MyST site (they used mkdocs syntax); the DS 4–6 chart tables and the no-factors branch of the + decision tree match what the library offers (a time-only study is DS 1, 2 or 3 by the number + of observations per time point, not DS 6); the R1 note no longer claims the residuals sum to + zero on unbalanced data (their cell means average to zero); R1 is cited as Eq 14-2, and the + design states are attributed to Bishop. + ## [0.3.3] - 2026-09-29 ### Changed diff --git a/CITATION.cff b/CITATION.cff index 3105329..72837a9 100644 --- a/CITATION.cff +++ b/CITATION.cff @@ -1,8 +1,8 @@ cff-version: 1.2.0 message: "If you use processbehavior in your research, please cite it as below." -title: "processbehavior: Process Behavior Charts and Variance Analysis for Python" +title: "processbehavior: Process Behavior Charts and Variation Analysis for Python" abstract: >- - A Python implementation of Thomas A. Bishop's Variance Analysis System (VAS): + A Python implementation of Thomas A. Bishop's Variation Analysis System (VAS): three-state design-state lineage detection (planned / observed / analytical), process behavior charts, R1-R6 residual variance decomposition, capability indices, and Taguchi loss functions. Analytical outputs are validated @@ -21,7 +21,7 @@ version: 0.2.0 keywords: - statistical process control - process behavior charts - - variance analysis + - variation analysis - control charts - quality control - shewhart @@ -31,7 +31,7 @@ references: - type: book title: "The Scientific Basis for Modern Analytic Practice" abstract: >- - The methodological foundation for the Variance Analysis System this + The methodological foundation for the Variation Analysis System this package implements: applied-research foundations, scientific methodology, Shewhart's inductive analytic approach and process behavior charts, operational definitions and research protocols, and case studies. diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md index 18f80a3..e5b381f 100644 --- a/CONTRIBUTING.md +++ b/CONTRIBUTING.md @@ -1,7 +1,7 @@ # Contributing to processbehavior Thanks for your interest. processbehavior is an implementation of Thomas A. -Bishop's Variance Analysis System (VAS); methodology fidelity is more +Bishop's Variation Analysis System (VAS); methodology fidelity is more important than feature volume. Smaller, well-validated changes are preferred. ## What this library is, and what it is not @@ -77,12 +77,12 @@ residuals (R1–R5), DS detection, limit calculations, or variance decomposition must keep the relevant Bishop-reference tests green: ```bash -pytest tests/test_bishop_reference.py -v +pytest tests/test_bishop_reference.py -v # skips unless Bishop's residual workbooks are present ``` There is also a full end-to-end check that compares every chart center, control -limit, capability index and loss component against Bishop's published Minitab -results — 280 assertions across ADS 1–3: +limit, capability index and loss component against Bishop's VAS runs for the +10-1-2026 manual (PM SDS 1–6, PM INERT, his known-effects data and the Medicare data): ```bash python validation/e2e_bishop_report.py @@ -97,6 +97,18 @@ summary. If a Bishop check fails after your change, the change is wrong — not the reference. +## Citing the methodology + +Code and docs cite Bishop's VAS documentation manual by edition and equation number: +`(10-1 manual Eq 14-8)`, `Eqs 14-4..14-13`, `Eqs 11-16/17`. Name the edition once per file and use +the chapter-number form; `tests/test_manual_citations.py` checks both. The citations are read +against the manual itself, so a new edition reports every place in the library whose equation +changed or moved. + +Cite an equation only where the code computes exactly that equation. Where it computes something +close (a different weighting, an approximation, a different sequence), say how it differs instead +of citing it. + ## Docs versioning The docs have one live version, deliberately, until 1.0: diff --git a/README.md b/README.md index 78986d7..114952e 100644 --- a/README.md +++ b/README.md @@ -6,7 +6,7 @@ [![codecov](https://codecov.io/gh/cnicholas/processbehavior/graph/badge.svg)](https://codecov.io/gh/cnicholas/processbehavior) [![License](https://img.shields.io/pypi/l/processbehavior.svg)](https://github.com/cnicholas/processbehavior/blob/main/LICENSE) -A Python library for **Process Behavior Analysis** following Thomas A. Bishop's Variance Analysis System (VAS) methodology. +A Python library for **Process Behavior Analysis** following Thomas A. Bishop's Variation Analysis System (VAS) methodology. Unlike traditional SPC packages, processbehavior faithfully implements Bishop's VAS equation-by-equation: automatic detection of the three-state design lineage (PDS / ODS / ADS), variance decomposition via R1-R6 residuals, and chart selection routed by the data your study can actually analyze. @@ -148,15 +148,15 @@ for stratum in result.strata: ## Validation -processbehavior's analytical outputs are continuously verified against Dr. Thomas A. Bishop's Minitab reference results. The validator at `validation/e2e_bishop_report.py` runs **280 numerical assertions** through the full formulate → execute → capability / loss / maximum-information pipeline: +processbehavior's analytical outputs are continuously verified against Dr. Thomas A. Bishop's VAS (Minitab-based) reference results. The validator at `validation/e2e_bishop_report.py` runs **254 numerical assertions** through the full formulate → execute → capability / loss / maximum-information pipeline: | Analytical Design State | Datasets validated | Assertions | Status | |---|---|---|---| | ADS 1 (full replication) | `PM SDS 1` from `PBTESTDATABASE_T100.csv` | 102 | ✅ all pass | -| ADS 2 (no replication) | `PM SDS 2` | 89 | ✅ all pass | -| ADS 3 (partial replication) | `PM SDS 3` | 89 | ✅ all pass | +| ADS 2 (no replication) | `PM SDS 2` | 103 | ✅ all pass | +| ADS 3 (partial replication) | `PM SDS 3` | 49 | ✅ all pass | -Reference data is Bishop's published Minitab golden output. The library matches every chart center, control limit, signal classification, capability index, and loss-function value to within the precision Bishop reports. +Reference data is Bishop's VAS output for the 10-1-2026 manual (his run of 3 October 2026). The library matches every chart center, control limit, signal classification, capability index, and loss-function value that output prints, to within the precision Bishop reports. ADS 3 charts are Xbar/S with limits that vary by subgroup size; those limits are not printed on the reference slides, so ADS 3 is checked on centre lines until Bishop's numeric export is in hand. ODS 4–6 (incomplete-grid scenarios) are detected and routed correctly but their end-to-end Bishop-reference coverage is pending. The synthetic generators in `make_design(state=4|5|6)` produce data with the structural shape Bishop's Table 1 specifies; full numerical validation against Bishop's incomplete-grid Minitab output is on the roadmap (issue #109). diff --git a/docs/appendix/wheeler-terminology.md b/docs/appendix/wheeler-terminology.md index a932260..0aad8ea 100644 --- a/docs/appendix/wheeler-terminology.md +++ b/docs/appendix/wheeler-terminology.md @@ -66,7 +66,7 @@ ProcessBehavior follows Donald Wheeler's terminology and methodology as presente ## Design States (DS) -Wheeler identifies six design states that determine valid analysis approaches. +Bishop's VAS defines six sampling design states (DS 1–6) that determine valid analysis approaches. ### DS 1: Full Replication @@ -84,7 +84,7 @@ Wheeler identifies six design states that determine valid analysis approaches. **ProcessBehavior Detection**: All cell counts == 1 -**Capabilities**: MR-based variance estimation, approximate VAS +**Capabilities**: VAS residuals with R2 estimated without replication: the condition-and-period-adjusted series, differenced and scaled by the R2 scale factor --- @@ -94,7 +94,7 @@ Wheeler identifies six design states that determine valid analysis approaches. **ProcessBehavior Detection**: Some cells with n=1, others with n>=2 -**Capabilities**: R2 by moving average over the full sequence (mixed cell sizes) +**Capabilities**: R2 by the same scaled difference as DS 2, over every observation (mixed cell sizes); Xbar/S is the default chart --- @@ -122,9 +122,9 @@ Wheeler identifies six design states that determine valid analysis approaches. --- -## Variance Analysis System (VAS) +## Variation Analysis System (VAS) -Dr. Thomas A. Bishop's framework for decomposing variation into meaningful components. VAS extends Wheeler's process behavior chart methodology with a hierarchical residual decomposition (R1-R5) that isolates within-cell, interaction, time, and factor effects. +Dr. Thomas A. Bishop's framework for decomposing variation into meaningful components. VAS extends Wheeler's process behavior chart methodology with a hierarchical residual decomposition (R1-R5) that isolates the unexplained noise and the interaction, time, and factor effects. ### R1: Total Deviation @@ -134,11 +134,13 @@ Dr. Thomas A. Bishop's framework for decomposing variation into meaningful compo --- -### R2: Within-Cell Residual +### R2: Unexplained Residual **Formula (DS 1)**: R2 = Y - Y̅kt -**Meaning**: Variation within subgroups, the "unexplained" portion. +**Formula (DS 2, 3)**: Z = Y - Y̅k - Y̅t + Y̅, differenced along the condition-then-time sequence and divided by twice the R2 scale factor c(K, M) (see [VAS Residuals](../user-guide/residuals.md#r2-unexplained-residuals)) + +**Meaning**: The "unexplained" portion: variation within subgroups in DS 1, and the noise left after the mean, condition and period effects are removed in DS 2 and 3. **Wheeler's Insight**: This represents measurement error and short-term variation. @@ -146,7 +148,7 @@ Dr. Thomas A. Bishop's framework for decomposing variation into meaningful compo ### R3: Interaction Residual -**Formula**: R3 = Y - Y̅k - Y̅t + Y̅ +**Formula**: R3 = (Y̅kt - Y̅k - Y̅t + Y̅) + R2, which is Y - Y̅k - Y̅t + Y̅ in DS 1 **Meaning**: How factor effects change over time. @@ -158,7 +160,7 @@ Dr. Thomas A. Bishop's framework for decomposing variation into meaningful compo **Formula**: R4 = Y̅t - Y̅ + R2 -**Meaning**: Time-related patterns combined with within-cell variation. +**Meaning**: Time-related patterns combined with the unexplained noise (R2). **Wheeler's Insight**: Chart R4 to detect trends, shifts, and cycles. @@ -168,7 +170,7 @@ Dr. Thomas A. Bishop's framework for decomposing variation into meaningful compo **Formula**: R5 = Y̅k - Y̅ + R2 -**Meaning**: Factor differences combined with within-cell variation. +**Meaning**: Factor differences combined with the unexplained noise (R2). **Wheeler's Insight**: Chart R5 to identify true factor differences. @@ -230,11 +232,11 @@ Wheeler uses the standard SPC constants from Shewhart's work: | Constant | Purpose | Formula Source | |----------|---------|----------------| -| c₄ | Unbiasing s | Related to gamma function | +| c₄ | Unbiasing s | Related to gamma function; Bishop's αN (10-1 manual Eqs 10-12, 10-13) | | A₃ | Xbar limits from s | 3 / (c₄√n) | -| B₃, B₄ | S chart limits | Functions of c₄ and n | -| d₂ | Unbiasing range | Tabulated; 1.128 for moving ranges of two | -| D₃, D₄ | mR chart limits | Functions of d₂ and d₃; D₄ = 1 + 3(0.8525)/1.128 for moving ranges of two | +| B₃, B₄ | S chart limits | Functions of c₄ and n (Eqs 10-15, 11-8, 11-9) | +| d₂ | Unbiasing range | Tabulated; 1.128 for moving ranges of two (Eqs 12-2, 12-4) | +| D₃, D₄ | mR chart limits | Functions of d₂ and d₃; D₄ = 1 + 3(0.8525)/1.128 for moving ranges of two (Eq 12-5) | --- diff --git a/docs/comparison.md b/docs/comparison.md index 3fd0db7..7540fd4 100644 --- a/docs/comparison.md +++ b/docs/comparison.md @@ -22,7 +22,7 @@ tool — or a spreadsheet — is the better choice. ## Where ProcessBehavior sits -ProcessBehavior implements Thomas A. Bishop's Variance Analysis System (VAS) +ProcessBehavior implements Thomas A. Bishop's Variation Analysis System (VAS) on top of Wheeler-style process behavior charts. What makes it different is the formulate-then-execute split: it classifies your data's *structure* — the three-state design lineage (PDS / ODS / ADS) — before computing anything, and diff --git a/docs/getting-started/key-concepts.md b/docs/getting-started/key-concepts.md index 4dbf131..b4b5574 100644 --- a/docs/getting-started/key-concepts.md +++ b/docs/getting-started/key-concepts.md @@ -30,15 +30,17 @@ The **Design State** describes the structure of your data. ProcessBehavior autom |-----|------|------------|-------------------| | 1 | Full Replication | All N_kt >= 2 | Xbar | | 2 | No Replication | All N_kt = 1 | X | -| 3 | Partial Replication | Mix of N_kt = 1 and N_kt >= 2 | X | +| 3 | Partial Replication | Mix of N_kt = 1 and N_kt >= 2 | Xbar | **Incomplete (has empty cells):** +The recommended chart follows the analytical state each one collapses to (4 → 1, 5 → 2, 6 → 3). + | DS | Name | Cell Sizes | Recommended Chart | |-----|------|------------|-------------------| -| 4 | Incomplete, No Singletons | Empty cells + all observed N_kt >= 2 | X | +| 4 | Incomplete, No Singletons | Empty cells + all observed N_kt >= 2 | Xbar | | 5 | Incomplete, No Replication | Empty cells + all observed N_kt = 1 | X | -| 6 | Incomplete, With Singletons | Empty cells + mixed N_kt | X | +| 6 | Incomplete, With Singletons | Empty cells + mixed N_kt | Xbar | See [DS Definitions](../reference/sds_definitions.md) for the formal classification table per Dr. Thomas A. Bishop's VAS methodology. @@ -46,7 +48,7 @@ See [DS Definitions](../reference/sds_definitions.md) for the formal classificat The DS determines: - Which chart types are valid -- How within-group variance is estimated (R2 method: exact or ma2) +- How the unexplained noise (R2) is estimated: `exact`, the within-cell deviation, when every cell is replicated; `ma2`, the condition-and-period-adjusted series differenced and divided by twice the R2 scale factor, when any cell has one observation - Where the sigma behind the limits comes from at the observed structure and series length. The design report states this as one line under `Structure` (`study.series_length`): with any singleton cell, `Sigma for X/mR rests on T − 1 moving ranges`; with every cell @@ -126,21 +128,21 @@ study.ads_reason # e.g., "full_replication" (machine-readable) study.ads_description # e.g., "Full replication (all cells n>=2)" ``` -## Bishop's Variance Analysis System (VAS) +## Bishop's Variation Analysis System (VAS) -For replicated designs (DS 1-3), ProcessBehavior computes five residual decompositions: +For designs with factors and time, ProcessBehavior computes five stored residuals: | Residual | Formula | Questions Answered | |----------|---------|-------------------| | **R1** | Y - Ȳ | Total deviation from grand mean | -| **R2** | Y - Ȳkt | Within-cell variation (unexplained) | -| **R3** | Y - Ȳk - Ȳt + Ȳ | Factor-time interaction | +| **R2** | Y - Ȳkt (DS 1); scaled difference of the condition-and-period-adjusted series (DS 2, 3) | Unexplained variation (noise) | +| **R3** | (Ȳkt - Ȳk - Ȳt + Ȳ) + R2 | Factor-time interaction + unexplained | | **R4** | Ȳt - Ȳ + R2 | Time effects + unexplained | | **R5** | Ȳk - Ȳ + R2 | Factor effects + unexplained | ### Interpreting VAS Residuals -- **R2 (Within-cell)**: Is measurement variation stable? Are there special causes within subgroups? +- **R2 (Unexplained)**: Is measurement variation stable? Are there special causes in the noise? - **R3 (Interaction)**: Does the factor effect change over time? - **R4 (Time)**: Are there trends, shifts, or time-related patterns? - **R5 (Factor)**: Do factors differ significantly from each other? diff --git a/docs/intro.md b/docs/intro.md index 9c07155..2190bfd 100644 --- a/docs/intro.md +++ b/docs/intro.md @@ -1,8 +1,8 @@ # ProcessBehavior -**Python-native Process Behavior Charts with Bishop's Variance Analysis System** +**Python-native Process Behavior Charts with Bishop's Variation Analysis System** -ProcessBehavior brings Thomas A. Bishop's rigorous Variance Analysis System (VAS) methodology to Python, with a modern API designed for data scientists and quality engineers. +ProcessBehavior brings Thomas A. Bishop's rigorous Variation Analysis System (VAS) methodology to Python, with a modern API designed for data scientists and quality engineers. ## Analyst Workflow @@ -111,7 +111,7 @@ The integer codes are Bishop's reference scale ("Bishop Table 1"): ODS values in {4, 5, 6} collapse to ADS values in {1, 2, 3} during tidying. -### Dr. Thomas A. Bishop's Variance Analysis System (VAS) +### Dr. Thomas A. Bishop's Variation Analysis System (VAS) For replicated designs, ProcessBehavior computes the complete residual decomposition: - **R1**: Total deviation (Y - grand mean) - **R2**: Within-cell variation (unexplained noise) @@ -167,7 +167,7 @@ If you use ProcessBehavior in your research, please cite: ```bibtex @software{processbehavior, author = {Nicholas, Chris and Bishop, Thomas A.}, - title = {processbehavior: Process Behavior Charts and Variance Analysis for Python}, + title = {processbehavior: Process Behavior Charts and Variation Analysis for Python}, year = {2026}, url = {https://github.com/cnicholas/processbehavior} } diff --git a/docs/myst.yml b/docs/myst.yml index 38aa887..023c531 100644 --- a/docs/myst.yml +++ b/docs/myst.yml @@ -2,7 +2,7 @@ version: 1 project: title: ProcessBehavior - description: Python-native Process Behavior Charts with Bishop's Variance Analysis System + description: Python-native Process Behavior Charts with Bishop's Variation Analysis System keywords: - SPC - statistical process control diff --git a/docs/reference/api.md b/docs/reference/api.md index f90460c..82433b7 100644 --- a/docs/reference/api.md +++ b/docs/reference/api.md @@ -139,6 +139,12 @@ Residual values `'R1'`–`'R5'` are stored on the study at `formulate()` time. asked for it. Not every (chart, residual) pair is valid — `study.residual_charts` lists the valid ones, and e.g. `execute(chart='S', value='R1')` raises. +When a layout with a one-observation subgroup leaves the R2 scale factor c(K, M) +undefined (fewer than 2 process design conditions, or M < K + 2 observations), +`formulate()` emits a `ProcessBehaviorWarning`, only R1 is offered, and +`execute()` with `value='R2'`–`'R6'` (or a recentered form) raises +`ChartNotAvailableError` with the reason; `why_not()` gives the same reason. + ### Study.why_not() ```python @@ -376,11 +382,19 @@ compatibility first with `study.supports_calibration(...)`. ### CapabilityResult From `study.capability()`. Fields include `pp`, `ppk` (with `ppk_lower`/`ppk_upper`), -`cp`, `cpk` (with bounds), `sigma_hat`, `sigma_hat_r2`, `y_bar`, `s`, `n`, -`z_lower`/`z_upper`, out-of-spec counts and percentages +`cp`, `cpk` (with bounds), `sigma_hat`, `sigma_hat_r2`, `potential_center`, `y_bar`, +`s`, `n`, `z_lower`/`z_upper`, out-of-spec counts and percentages (`n_below_lsl`, `n_above_usl`, `n_outside`, `pct_below_lsl`, `pct_above_usl`, -`pct_outside`), potential-performance counterparts, `stability_warning`, and the -capability `window` when one was requested. +`pct_outside`), potential-performance counterparts, `potential_unavailable_reason`, +`stability_warning`, and the capability `window` when one was requested. + +- `sigma_hat_r2` — SR2 / c4(NR2), the potential σ̂ from R2 + (10-1 manual Eq 16-10). +- `potential_center` — the mean of the potential values ȳ + R2, i.e. ȳ + mean(R2). + Potential CPL/CPU are measured from it and the potential chart's center line sits + there; it equals `y_bar` in ADS 1. `None` when potential capability is unavailable. +- `potential_unavailable_reason` — why the potential indices are `None` (for example, + no VAS residuals, or R2 unavailable for the layout). ```python cap.as_dict(round_to=None) # -> dict @@ -397,6 +411,13 @@ From `study.loss_function()`. Taguchi loss decomposition: `centering`, counterparts, `pdc_by_factor`, and the `target` used (`target_is_default` says whether it was derived). +`unexplained` is the average cell variance in ADS 1 (10-1 manual Eq 15-16) and the +sample variance of R2 in ADS 2/3 (Eq 15-17). `interaction` is the average squared +interaction effect in ADS 1; in ADS 2/3 it is what the other parts leave of +(Ȳ − T)² + S², set to 0 if negative (Eqs 15-18..15-20), so there `total` equals +(Ȳ − T)² + S² unless the interaction was set to 0. `loss_function()` raises +`ValidationError` when R2 is unavailable for the layout. + ```python loss.as_dict(round_to=None) loss.plot(*, structured=False, orientation='vertical', theme=None, @@ -406,7 +427,10 @@ loss.plot(*, structured=False, orientation='vertical', theme=None, ### MaximumInformationResult From `study.maximum_information()`. Fields: `n`, `r2_mean`, `r2_mR`, -`sigma_hat`, `upl`, `lpl`, `n_signals`. +`sigma_hat`, `upl`, `lpl`, `n_signals`. An X chart of R2: limits +`r2_mean ± (3/1.128)·r2_mR`, `sigma_hat = r2_mR / 1.128` (10-1 manual Eqs 12-4, 12-10, +12-11). Raises +`ValidationError` when R2 is unavailable for the layout. ```python mi.as_dict(round_to=None) @@ -551,12 +575,21 @@ Secondary surface. The control-chart constants are functions of subgroup size: ```python from processbehavior.spc_constants import c4, b3, b4, VALID_BASE_CHARTS -c4(n) # bias-correction factor for s -b3(n, sigma_multiplier=3) # S-chart lower-limit factor -b4(n, sigma_multiplier=3) # S-chart upper-limit factor +c4(n) # bias-correction factor for s (10-1 manual Eqs 10-12, 10-13); exact for every n +b3(n, sigma_multiplier=3) # S-chart lower-limit factor (Eqs 10-15, 11-8) +b4(n, sigma_multiplier=3) # S-chart upper-limit factor (Eqs 10-15, 11-9) VALID_BASE_CHARTS # {'Histogram', 'Xbar', 'S', 'X', 'mR'} ``` +`c4` is exact for every n. The manual's footnote to Eq 10-12 sets αN = 1 above N = 5000, which would put an S chart's limits on its centerline for subgroups that large; PB keeps the exact value, so the limits close in gradually instead. This is a deliberate difference from VAS, and it only affects S charts with subgroups of more than 5000 values. + +`c4` unbiases σ̂ for capability (S / c4(N), and SR2 / c4(NR2) for the +potential σ̂). It is not applied in the loss function. The R2 scale factor is not one of +these constants: it is computed from the layout by +`processbehavior.residual_calculator.r2_scale_factor(n_conditions, n_observations)`, +c(K, M) = sqrt((K − 1)/(2K) · (1 − K/(M − 1))), and is NaN where undefined +(K < 2 or M < K + 2). + ## Exceptions ```python diff --git a/docs/reference/sds_definitions.md b/docs/reference/sds_definitions.md index cfc271f..4cdca0a 100644 --- a/docs/reference/sds_definitions.md +++ b/docs/reference/sds_definitions.md @@ -1,6 +1,6 @@ # Bishop's design-state reference scale (1–6) -This document provides the formal definitions of the six structural design states defined by Thomas A. Bishop, Ph.D. in the Variance Analysis System (VAS) framework. These are the integer codes carried by each state in the PDS / ODS / ADS lineage via its `.sds` field. +This document provides the formal definitions of the six structural design states defined by Thomas A. Bishop, Ph.D. in the Variation Analysis System (VAS) framework. These are the integer codes carried by each state in the PDS / ODS / ADS lineage via its `.sds` field. For background on the lineage itself (Planned → Observed → Analytical), see [Design-state detection](../user-guide/sds-detection.md). @@ -41,9 +41,9 @@ For background on the lineage itself (Planned → Observed → Analytical), see - **Grid Status**: Semi-Complete - **Description**: Every (factor × time) cell has exactly 1 observation - **Implications**: - - No within-cell variance (must use moving average for R2) + - No within-cell variance: R2 is estimated from the condition-and-period-adjusted series, differenced along the condition-then-time sequence and scaled by the R2 scale factor (Eqs 14-4..14-8) - Interaction effects confounded with pure error - - VAS residuals available but R2 is approximate + - VAS residuals available when the R2 scale factor is defined: at least 2 process design conditions and M ≥ K + 2 observations (see [R2 calculation](#r2-calculation-methods-by-ds)) - Common in unreplicated factorial designs ### DS 3: Semi-Complete with Partial Replication @@ -52,7 +52,8 @@ For background on the lineage itself (Planned → Observed → Analytical), see - **Grid Status**: Semi-Complete - **Description**: Mix of cells - some have n=1, others have n≥2 - **Implications**: - - R2 by moving average over the full sequence (any singleton cell forces `ma2` for every observation) + - R2 by the same scaled difference as DS 2, over every observation (Eqs 14-9..14-13); any one-observation cell selects `ma2` for every observation + - Xbar/S is the default chart - **Most common in real-world data** - Partial interaction effect estimation - Requires careful handling of mixed replication @@ -77,7 +78,7 @@ For background on the lineage itself (Planned → Observed → Analytical), see - Most limited analytical case - Sparse, irregular data structure - No within-cell variance estimation possible - - Moving average methods required throughout + - R2 by the scaled difference (`ma2`) throughout; collapses to ADS 2 after cleaning ### DS 6: Incomplete with Mixed Replication @@ -114,20 +115,38 @@ To determine the DS for a dataset: - If has_singles AND has_multiples → DS 6 ``` +(r2-calculation-methods-by-ds)= ## R2 Calculation Methods by DS +Equation numbers refer to Bishop's VAS documentation manual dated 10-1-2026. + | DS | R2 Method | Description | |-----|-----------|-------------| | 0 | N/A | No VAS decomposition | -| 1 | Exact (within-cell) | Pooled within-cell variance | -| 2 | Moving Average | Approximate via sequential differences | -| 3 | Moving Average | Any singleton cell: `ma2` over the full sequence, same as DS 2 | -| 4 | Exact (present cells) | Within-cell for available data | -| 5 | Moving Average | All present cells are unreplicated | -| 6 | Moving Average | Collapses to ADS 3 after cleaning; `ma2` over the full sequence | +| 1 | Exact (within-cell) | `R2 = Y - Ȳ_kt` (Eq 14-3) | +| 2 | Scaled difference (`ma2`) | Condition-and-period-adjusted series, differenced and divided by 2·c(K, M), M = KT (Eqs 14-4..14-8) | +| 3 | Scaled difference (`ma2`) | Any one-observation cell: the same over every observation (Eqs 14-9..14-13) | +| 4 | Exact (present cells) | Collapses to ADS 1 after cleaning; within-cell for available data | +| 5 | Scaled difference (`ma2`) | Collapses to ADS 2 after cleaning; all present cells are unreplicated (Eqs 14-9..14-13) | +| 6 | Scaled difference (`ma2`) | Collapses to ADS 3 after cleaning (Eqs 14-9..14-13) | + +The scaled difference first removes the process mean and the condition and period effects, +Z = Y − Ȳ_k − Ȳ_t + Ȳ (unweighted means of cell means), then differences Z along the +condition-then-time sequence, across condition boundaries with no grouping, so only the +first observation has no value. It divides by twice the **R2 scale factor**, computed from +the layout: + +``` +c(K, M) = sqrt( (K - 1) / (2K) · (1 - K / (M - 1)) ) +``` + +with K the number of process design conditions present and M the number of observations. +This puts R2 on the noise (sigma) scale. The token `ma2` names Bishop's size-2 moving average +of Z, of which R2 is the scaled deviation. When K < 2 or M < K + 2 the R2 scale factor is +undefined and R2, with everything built on it, is reported unavailable. ## References - Wheeler, D. J. (1995). *Advanced Topics in Statistical Process Control*. SPC Press, Knoxville, TN. - Wheeler, D. J. & Chambers, D. S. (1992). *Understanding Statistical Process Control*. SPC Press. -- Bishop, T. A. (2023). Personal communication — Variance Analysis System implementation. +- Bishop, T. A. (2023). Personal communication — Variation Analysis System implementation. diff --git a/docs/reference/validation.md b/docs/reference/validation.md index 47c1309..24350f6 100644 --- a/docs/reference/validation.md +++ b/docs/reference/validation.md @@ -1,38 +1,58 @@ # Validation against Bishop's reference results Every analytical output this library produces is checked, number by number, -against Dr. Thomas A. Bishop's published Minitab results for the same data. +against Dr. Thomas A. Bishop's VAS results (Minitab) for the same data. Not "inspired by" and not spot-checked — the chart centers, control limits, -signal classifications, capability indices and loss-function components are -compared to the reference and the run fails if any of them disagree. +capability indices and loss-function components are compared to the reference +and the run fails if any of them disagree. -**280 assertions pass**, 0 fail, 35 have no reference value. +**1511 assertions pass**, 0 fail, 43 have no reference value yet. -Generated by `validation/e2e_bishop_report.py` from processbehavior 0.3.3, against `validation/PBTESTDATABASE_T100.csv`. +Generated by `validation/e2e_bishop_report.py` from processbehavior 0.3.3. ## Coverage -| Analytical Design State | Source column | Assertions | Result | -|---|---|---|---| -| ADS 1 — full replication | `PM SDS 1` | 102 | ✅ all pass | -| ADS 2 — no replication | `PM SDS 2` | 89 | ✅ all pass | -| ADS 3 — partial replication | `PM SDS 3` | 89 | ✅ all pass | +| Run | Data | Analytic design state | Assertions | No reference yet | Result | +|---|---|---|---|---|---| +| `PM SDS 1` | `PBTESTDATABASE_T100.csv` | ADS 1 | 105 | 0 | ✅ all pass | +| `PM SDS 2` | `PBTESTDATABASE_T100.csv` | ADS 2 | 103 | 2 | ✅ all pass | +| `PM SDS 3` | `PBTESTDATABASE_T100.csv` | ADS 3 | 99 | 6 | ✅ all pass | +| `PM SDS 4` | `PBTESTDATABASE_T100.csv` | ADS 1 | 101 | 4 | ✅ all pass | +| `PM SDS 5` | `PBTESTDATABASE_T100.csv` | ADS 2 | 105 | 0 | ✅ all pass | +| `PM SDS 6` | `PBTESTDATABASE_T100.csv` | ADS 3 | 101 | 4 | ✅ all pass | +| `PM INERT` | `PBTESTDATABASE_T100.csv` | ADS 1 | 101 | 4 | ✅ all pass | +| `PM INERT SDS 2` | `PBTESTDATABASE_T100.csv` | ADS 2 | 103 | 2 | ✅ all pass | +| `PM INERT SDS 3` | `PBTESTDATABASE_T100.csv` | ADS 3 | 99 | 6 | ✅ all pass | +| `PM INERT SDS 4` | `PBTESTDATABASE_T100.csv` | ADS 1 | 101 | 4 | ✅ all pass | +| `PM INERT SDS 5` | `PBTESTDATABASE_T100.csv` | ADS 2 | 105 | 0 | ✅ all pass | +| `PM INERT SDS 6` | `PBTESTDATABASE_T100.csv` | ADS 3 | 101 | 4 | ✅ all pass | +| `PM SDS 1 KNOWN` | `PBTESTKNOWNEFFECTS_T100.csv` | ADS 1 | 101 | 4 | ✅ all pass | +| `Medicare ACO (PCE)` | `aco_per_capita_expenditure.csv` | ADS 2 | 186 | 3 | ✅ all pass | + +PM SDS 1-6 are one fill-weight dataset with deletions; SDS 4-6 are incomplete grids, analysed +as the complete design that survives tidying (ADS 1-3). PM INERT is pure noise with the same +six missing-data patterns. The known-effects data are built from known condition, time and +interaction effects plus noise. The Medicare data are per-capita expenditure for 24 +organisations over 4 years, one reading each (issue #114). ## What is covered - **Charts** — center line and both natural process limits, for the primary - chart and for each valid chart x residual pair at that design state. + chart and for each valid chart x residual pair at that design state. Where subgroup + sizes differ, VAS prints "UNEQUAL" instead of a limit; there the limits of every + subgroup are read from the limit lines VAS draws, to within 1.5 drawing units + (about 0.01-0.1, by chart), and each line counts as one assertion. - **Capability** — Pp, Ppk (upper and lower), Cp, Cpk, and the percentage of the distribution beyond each specification limit. - **Loss function** — the Taguchi loss decomposition and its components. -## What is not yet covered +## Values with no reference yet -ODS 4-6 (incomplete grids) are detected and routed correctly, and their -collapse to ADS 1-3 is pinned by tests — an incomplete design is analysed as -the complete design that survives tidying, so the numbers above are the ones -that apply. What is still outstanding is an end-to-end comparison against -Bishop's Minitab output for the incomplete-grid datasets themselves. +- The limits of the R6 S charts (pages 21, 25 and 27) whose subgroups have 343 or more + values. The VAS runs of 3 October 2026 held αN (10-1 manual Eq 10-12) at 0.9995 from N = 343 up, + where Minitab's GAMMA function overflows, so their limits follow N = 500 instead of the + subgroup's own N. Dr. Bishop is replacing it with a table of αN; these wait for his + rerun. Below N = 343 the same charts are checked, and match. ## Reproducing this @@ -42,4 +62,4 @@ python validation/e2e_bishop_report.py That writes this page and a detailed HTML report (`validation/e2e_bishop_report.html`) with every compared value, expected -beside actual, grouped by design state. +beside actual, grouped by run. diff --git a/docs/tutorials/design-state-tour.ipynb b/docs/tutorials/design-state-tour.ipynb index 8d851d2..3e17cd0 100644 --- a/docs/tutorials/design-state-tour.ipynb +++ b/docs/tutorials/design-state-tour.ipynb @@ -25,10 +25,10 @@ "id": "b41bd7d5", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:37:38.127655Z", - "iopub.status.busy": "2026-08-31T22:37:38.127451Z", - "iopub.status.idle": "2026-08-31T22:37:38.640928Z", - "shell.execute_reply": "2026-08-31T22:37:38.640517Z" + "iopub.execute_input": "2026-10-05T00:33:09.295929Z", + "iopub.status.busy": "2026-10-05T00:33:09.295632Z", + "iopub.status.idle": "2026-10-05T00:33:09.608770Z", + "shell.execute_reply": "2026-10-05T00:33:09.608316Z" } }, "outputs": [ @@ -38,10 +38,10 @@ "text": [ "state 1: ODS 1 -> ADS 1 | full_replication | recommended: Xbar\n", "state 2: ODS 2 -> ADS 2 | no_replication | recommended: X\n", - "state 3: ODS 3 -> ADS 3 | partial_replication | recommended: X\n", + "state 3: ODS 3 -> ADS 3 | partial_replication | recommended: Xbar\n", "state 4: ODS 4 -> ADS 1 | full_replication | recommended: Xbar\n", "state 5: ODS 5 -> ADS 2 | no_replication | recommended: X\n", - "state 6: ODS 6 -> ADS 3 | partial_replication | recommended: X\n" + "state 6: ODS 6 -> ADS 3 | partial_replication | recommended: Xbar\n" ] } ], @@ -81,10 +81,10 @@ "id": "cd8c6323", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:37:38.641965Z", - "iopub.status.busy": "2026-08-31T22:37:38.641863Z", - "iopub.status.idle": "2026-08-31T22:37:38.774037Z", - "shell.execute_reply": "2026-08-31T22:37:38.773727Z" + "iopub.execute_input": "2026-10-05T00:33:09.609954Z", + "iopub.status.busy": "2026-10-05T00:33:09.609860Z", + "iopub.status.idle": "2026-10-05T00:33:10.502758Z", + "shell.execute_reply": "2026-10-05T00:33:10.502411Z" } }, "outputs": [ @@ -1550,10 +1550,10 @@ "id": "7b523280", "metadata": { "execution": { - 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"mode": "lines+markers", + "mode": "markers", "name": "X", "opacity": 0.8, "type": "scatter", @@ -1949,8 +2071,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 56.567, - "y1": 56.567 + "y0": 56.566, + "y1": 56.566 }, { "line": { @@ -1962,8 +2084,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 45.943, - "y1": 45.943 + "y0": 45.944, + "y1": 45.944 }, { "line": { @@ -2919,10 +3041,10 @@ "id": "ccdbb386", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:37:38.810489Z", - "iopub.status.busy": "2026-08-31T22:37:38.810428Z", - "iopub.status.idle": "2026-08-31T22:37:38.829647Z", - "shell.execute_reply": "2026-08-31T22:37:38.829319Z" + "iopub.execute_input": "2026-10-05T00:33:10.539694Z", + "iopub.status.busy": "2026-10-05T00:33:10.539642Z", + "iopub.status.idle": "2026-10-05T00:33:10.558866Z", + "shell.execute_reply": "2026-10-05T00:33:10.558416Z" } }, "outputs": [ diff --git a/docs/tutorials/loss-function.ipynb b/docs/tutorials/loss-function.ipynb index 316ced6..bd7e046 100644 --- a/docs/tutorials/loss-function.ipynb +++ b/docs/tutorials/loss-function.ipynb @@ -49,33 +49,34 @@ "id": "9daxzymuu1i", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:42.993149Z", - "iopub.status.busy": "2026-05-21T12:14:42.992878Z", - "iopub.status.idle": "2026-05-21T12:14:43.433087Z", - "shell.execute_reply": "2026-05-21T12:14:43.432769Z" + "iopub.execute_input": "2026-10-05T00:32:53.314304Z", + "iopub.status.busy": "2026-10-05T00:32:53.314116Z", + "iopub.status.idle": "2026-10-05T00:32:53.521220Z", + "shell.execute_reply": "2026-10-05T00:32:53.520879Z" } }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Dataset: 4000 rows x 11 columns\n", + "Columns: ['PRODUCTION TIME', 'FACTOR 1', 'FACTOR 2', 'FACTOR 1xFACTOR 2', 'PM SDS 1', 'PM SDS 2', 'PM SDS 3', 'PM SDS 4', 'PM SDS 5', 'PM SDS 6', 'PM INERT']\n" + ] + }, { "name": "stderr", "output_type": "stream", "text": [ - "Found 11655 garbage/NA values across 5 column(s):\n", + "/var/folders/cp/dvnklhkn2dd12f_pgg5mhydw0000gp/T/ipykernel_38949/3003584475.py:4: ProcessBehaviorWarning: Found 11655 garbage/NA values across 5 column(s):\n", " • PM SDS 2: 3200 values\n", " • PM SDS 3: 958 values\n", " • PM SDS 4: 2134 values\n", " • PM SDS 5: 3359 values\n", " • PM SDS 6: 2004 values\n", "\n", - "These values were converted to NA and will be excluded from analysis.\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Dataset: 4000 rows x 11 columns\n", - "Columns: ['PRODUCTION TIME', 'FACTOR 1', 'FACTOR 2', 'FACTOR 1xFACTOR 2', 'PM SDS 1', 'PM SDS 2', 'PM SDS 3', 'PM SDS 4', 'PM SDS 5', 'PM SDS 6', 'PM INERT']\n" + "These values were converted to NA and will be excluded from analysis.\n", + " pb = ProcessBehavior.read_csv('../../validation/PBTESTDATABASE_T100.csv')\n" ] } ], @@ -95,10 +96,10 @@ "id": "38786f54za2", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:43.434581Z", - "iopub.status.busy": "2026-05-21T12:14:43.434456Z", - "iopub.status.idle": "2026-05-21T12:14:43.513481Z", - "shell.execute_reply": "2026-05-21T12:14:43.513177Z" + "iopub.execute_input": "2026-10-05T00:32:53.522399Z", + "iopub.status.busy": "2026-10-05T00:32:53.522336Z", + "iopub.status.idle": "2026-10-05T00:32:53.544312Z", + "shell.execute_reply": "2026-10-05T00:32:53.543922Z" } }, "outputs": [ @@ -143,10 +144,10 @@ "id": "wni7w4fl2eo", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:43.514834Z", - "iopub.status.busy": "2026-05-21T12:14:43.514754Z", - "iopub.status.idle": "2026-05-21T12:14:43.522511Z", - "shell.execute_reply": "2026-05-21T12:14:43.522252Z" + "iopub.execute_input": "2026-10-05T00:32:53.545355Z", + "iopub.status.busy": "2026-10-05T00:32:53.545288Z", + "iopub.status.idle": "2026-10-05T00:32:53.549432Z", + "shell.execute_reply": "2026-10-05T00:32:53.549041Z" } }, "outputs": [ @@ -157,19 +158,19 @@ " Target=237.0, Ybar=237.817, N=4000\n", " K=8 PDC levels, T=100 periods, SDS=1\n", "\n", - " Expected Loss (EL) = 3.962\n", + " Expected Loss (EL) = 3.856\n", "\n", " Loss Decomposition:\n", - " PDCxPT INT: 43.32%\n", - " UNEXPLAINED: 22.986%\n", - " MEAN: 16.841%\n", - " PDC: 14.17%\n", - " PT: 2.683%\n", + " PDCxPT INT: 44.511%\n", + " UNEXPLAINED: 20.869%\n", + " MEAN: 17.304%\n", + " PDC: 14.559%\n", + " PT: 2.757%\n", "\n", " PDC Decomposition:\n", - " FACTOR 1: 8.937%\n", - " FACTOR 2: 3.715%\n", - " PDF INT: 1.517%" + " FACTOR 1: 9.183%\n", + " FACTOR 2: 3.818%\n", + " PDF INT: 1.559%" ] }, "execution_count": 3, @@ -204,10 +205,10 @@ "id": "0fsozjvtsw", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:43.523788Z", - "iopub.status.busy": "2026-05-21T12:14:43.523685Z", - "iopub.status.idle": "2026-05-21T12:14:43.525800Z", - "shell.execute_reply": "2026-05-21T12:14:43.525595Z" + "iopub.execute_input": "2026-10-05T00:32:53.550308Z", + "iopub.status.busy": "2026-10-05T00:32:53.550233Z", + "iopub.status.idle": "2026-10-05T00:32:53.552030Z", + "shell.execute_reply": "2026-10-05T00:32:53.551716Z" } }, "outputs": [ @@ -216,22 +217,22 @@ "output_type": "stream", "text": [ "Loss Decomposition (Tom's reference):\n", - " PDCxPT INT: 43.3% (expected: 43.3%)\n", - " UNEXPLAINED: 23.0% (expected: 23.0%)\n", - " MEAN: 16.8% (expected: 16.8%)\n", - " PDC: 14.2% (expected: 14.2%)\n", - " PT: 2.7% (expected: 2.7%)\n" + " PDCxPT INT: 44.5% (expected: 44.5%)\n", + " UNEXPLAINED: 20.9% (expected: 20.9%)\n", + " MEAN: 17.3% (expected: 17.3%)\n", + " PDC: 14.6% (expected: 14.6%)\n", + " PT: 2.8% (expected: 2.8%)\n" ] } ], "source": [ - "# Verify Tom's reference percentages (PM SDS 1, T=237)\n", + "# Verify against Tom's VAS run of 3 October 2026 (PM SDS 1, T=237)\n", "print(\"Loss Decomposition (Tom's reference):\")\n", - "print(f\" PDCxPT INT: {result.pct_interaction:.1f}% (expected: 43.3%)\")\n", - "print(f\" UNEXPLAINED: {result.pct_unexplained:.1f}% (expected: 23.0%)\")\n", - "print(f\" MEAN: {result.pct_centering:.1f}% (expected: 16.8%)\")\n", - "print(f\" PDC: {result.pct_pdc:.1f}% (expected: 14.2%)\")\n", - "print(f\" PT: {result.pct_time:.1f}% (expected: 2.7%)\")" + "print(f\" PDCxPT INT: {result.pct_interaction:.1f}% (expected: 44.5%)\")\n", + "print(f\" UNEXPLAINED: {result.pct_unexplained:.1f}% (expected: 20.9%)\")\n", + "print(f\" MEAN: {result.pct_centering:.1f}% (expected: 17.3%)\")\n", + "print(f\" PDC: {result.pct_pdc:.1f}% (expected: 14.6%)\")\n", + "print(f\" PT: {result.pct_time:.1f}% (expected: 2.8%)\")" ] }, { @@ -252,10 +253,10 @@ "id": "2xs9e5852z9", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:43.526910Z", - "iopub.status.busy": "2026-05-21T12:14:43.526841Z", - "iopub.status.idle": "2026-05-21T12:14:44.227153Z", - "shell.execute_reply": "2026-05-21T12:14:44.226819Z" + "iopub.execute_input": "2026-10-05T00:32:53.552888Z", + "iopub.status.busy": "2026-10-05T00:32:53.552837Z", + "iopub.status.idle": "2026-10-05T00:32:54.206384Z", + "shell.execute_reply": "2026-10-05T00:32:54.205943Z" } }, "outputs": [ @@ -269,11 +270,11 @@ { "orientation": "v", "text": [ - "43.32%", - "22.986%", - "16.841%", - "14.17%", - "2.683%" + "44.511%", + "20.869%", + "17.304%", + "14.559%", + "2.757%" ], "textposition": "outside", "type": "bar", @@ -285,11 +286,11 @@ "PT" ], "y": [ - 43.32006880609359, - 22.986327809675984, - 16.840695260890527, - 14.169667871489738, - 2.6832402518501666 + 44.511293717573565, + 20.868588679382544, + 17.30378445428982, + 14.559308558153234, + 2.757024590600829 ] } ], @@ -1109,7 +1110,7 @@ "linewidth": 1.0, "range": [ 0, - 47.65207568670295 + 48.962423089330926 ], "showgrid": true, "showline": true, @@ -1152,10 +1153,10 @@ "id": "llbkacmo9p", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:44.228542Z", - "iopub.status.busy": "2026-05-21T12:14:44.228430Z", - "iopub.status.idle": "2026-05-21T12:14:44.237426Z", - "shell.execute_reply": "2026-05-21T12:14:44.237178Z" + "iopub.execute_input": "2026-10-05T00:32:54.207461Z", + "iopub.status.busy": "2026-10-05T00:32:54.207396Z", + "iopub.status.idle": "2026-10-05T00:32:54.213329Z", + "shell.execute_reply": "2026-10-05T00:32:54.213016Z" } }, "outputs": [ @@ -1169,13 +1170,13 @@ { "orientation": "v", "text": [ - "43.32%", - "22.986%", - "16.841%", - "8.937%", - "3.715%", - "2.683%", - "1.517%" + "44.511%", + "20.869%", + "17.304%", + "9.183%", + "3.818%", + "2.757%", + "1.559%" ], "textposition": "outside", "type": "bar", @@ -1189,13 +1190,13 @@ "PDF INT" ], "y": [ - 43.32006880609359, - 22.986327809675984, - 16.840695260890527, - 8.937014774390244, - 3.715494223927017, - 2.6832402518501666, - 1.5171588731724779 + 44.511293717573565, + 20.868588679382544, + 17.30378445428982, + 9.182766799419843, + 3.8176637125724238, + 2.757024590600829, + 1.5588780461609653 ] } ], @@ -2015,7 +2016,7 @@ "linewidth": 1.0, "range": [ 0, - 47.65207568670295 + 48.962423089330926 ], "showgrid": true, "showline": true, @@ -2044,13 +2045,13 @@ "\n", "Read the Pareto top-down. The largest percentage is the biggest lever for improvement:\n", "\n", - "1. **PDCxPT INT (43.3%)** — the factor-by-time interaction dominates. Factor effects are not consistent over time. This is an assignable cause that warrants investigation.\n", - "2. **UNEXPLAINED (23.0%)** — the noise floor. Reducing this requires fundamentally changing the measurement or process.\n", - "3. **MEAN (16.8%)** — re-centering the process on the target would eliminate this component entirely.\n", - "4. **F1 (8.9%)** — FACTOR 1 main effect contributes more than FACTOR 2.\n", - "5. **F2 (3.7%)** — FACTOR 2 contributes less individually.\n", - "6. **PT (2.7%)** — temporal drift is small.\n", - "7. **PDF INT (1.5%)** — the interaction between the two factors is small." + "1. **PDCxPT INT (44.5%)** — the factor-by-time interaction dominates. Factor effects are not consistent over time. This is an assignable cause that warrants investigation.\n", + "2. **UNEXPLAINED (20.9%)** — the noise floor. Reducing this requires fundamentally changing the measurement or process.\n", + "3. **MEAN (17.3%)** — re-centering the process on the target would eliminate this component entirely.\n", + "4. **F1 (9.2%)** — FACTOR 1 main effect contributes more than FACTOR 2.\n", + "5. **F2 (3.8%)** — FACTOR 2 contributes less individually.\n", + "6. **PT (2.8%)** — temporal drift is small.\n", + "7. **PDF INT (1.6%)** — the interaction between the two factors is small." ] }, { @@ -2071,10 +2072,10 @@ "id": "daa5mgm5ey", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:44.238747Z", - "iopub.status.busy": "2026-05-21T12:14:44.238649Z", - "iopub.status.idle": "2026-05-21T12:14:44.241437Z", - "shell.execute_reply": "2026-05-21T12:14:44.241216Z" + "iopub.execute_input": "2026-10-05T00:32:54.214286Z", + "iopub.status.busy": "2026-10-05T00:32:54.214228Z", + "iopub.status.idle": "2026-10-05T00:32:54.216288Z", + "shell.execute_reply": "2026-10-05T00:32:54.215990Z" } }, "outputs": [ @@ -2083,9 +2084,9 @@ "output_type": "stream", "text": [ "PDC by factor:\n", - " FACTOR 1: 8.9%\n", - " FACTOR 2: 3.7%\n", - " PDF INT: 1.5%\n", + " FACTOR 1: 9.2%\n", + " FACTOR 2: 3.8%\n", + " PDF INT: 1.6%\n", "\n", "F1 + F2 + PDF INT = 0.561437\n", "PDC = 0.561437\n", @@ -2128,10 +2129,10 @@ "id": "u2au8hvbpes", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:44.242542Z", - "iopub.status.busy": "2026-05-21T12:14:44.242458Z", - "iopub.status.idle": "2026-05-21T12:14:44.249080Z", - "shell.execute_reply": "2026-05-21T12:14:44.248820Z" + "iopub.execute_input": "2026-10-05T00:32:54.217110Z", + "iopub.status.busy": "2026-10-05T00:32:54.217051Z", + "iopub.status.idle": "2026-10-05T00:32:54.220927Z", + "shell.execute_reply": "2026-10-05T00:32:54.220575Z" } }, "outputs": [ @@ -2145,10 +2146,10 @@ "\n", "Without centering loss, the remaining 4 components\n", "share 100% of the total:\n", - " UNEXPLAINED: 27.6%\n", - " PDC: 17.0%\n", - " PT: 3.2%\n", - " PDCxPT INT: 52.1%\n" + " UNEXPLAINED: 25.2%\n", + " PDC: 17.6%\n", + " PT: 3.3%\n", + " PDCxPT INT: 53.8%\n" ] } ], @@ -2185,10 +2186,10 @@ "id": "njpsr4fsjn", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:44.250249Z", - "iopub.status.busy": "2026-05-21T12:14:44.250158Z", - "iopub.status.idle": "2026-05-21T12:14:44.252887Z", - "shell.execute_reply": "2026-05-21T12:14:44.252666Z" + "iopub.execute_input": "2026-10-05T00:32:54.221876Z", + "iopub.status.busy": "2026-10-05T00:32:54.221823Z", + "iopub.status.idle": "2026-10-05T00:32:54.223981Z", + "shell.execute_reply": "2026-10-05T00:32:54.223576Z" } }, "outputs": [ @@ -2197,13 +2198,13 @@ "output_type": "stream", "text": [ "Centering: 0.667270\n", - "Unexplained: 0.910775\n", + "Unexplained: 0.804736\n", "PDC: 0.561437\n", "Time: 0.106317\n", "Interaction: 1.716448\n", "──────────────────────────────\n", - "Sum: 3.962246\n", - "Total: 3.962246\n", + "Sum: 3.856207\n", + "Total: 3.856207\n", "Match: True\n", "\n", "Percentages sum: 100.0%\n" @@ -2248,10 +2249,10 @@ "id": "i47wms5joaq", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:44.254004Z", - "iopub.status.busy": "2026-05-21T12:14:44.253929Z", - "iopub.status.idle": "2026-05-21T12:14:44.256050Z", - "shell.execute_reply": "2026-05-21T12:14:44.255839Z" + "iopub.execute_input": "2026-10-05T00:32:54.224914Z", + "iopub.status.busy": "2026-10-05T00:32:54.224860Z", + "iopub.status.idle": "2026-10-05T00:32:54.226755Z", + "shell.execute_reply": "2026-10-05T00:32:54.226424Z" } }, "outputs": [ @@ -2266,16 +2267,16 @@ " 'T_periods': 100,\n", " 'sds': 1,\n", " 'centering': 0.6673,\n", - " 'unexplained': 0.9108,\n", + " 'unexplained': 0.8047,\n", " 'pdc': 0.5614,\n", " 'time': 0.1063,\n", " 'interaction': 1.7164,\n", - " 'total': 3.9622,\n", - " 'pct_centering': 16.8407,\n", - " 'pct_unexplained': 22.9863,\n", - " 'pct_pdc': 14.1697,\n", - " 'pct_time': 2.6832,\n", - " 'pct_interaction': 43.3201,\n", + " 'total': 3.8562,\n", + " 'pct_centering': 17.3038,\n", + " 'pct_unexplained': 20.8686,\n", + " 'pct_pdc': 14.5593,\n", + " 'pct_time': 2.757,\n", + " 'pct_interaction': 44.5113,\n", " 'pdc_by_factor': {'FACTOR 1': 0.3541, 'FACTOR 2': 0.1472},\n", " 'pdc_factor_interaction': 0.0601}" ] @@ -2296,9 +2297,9 @@ "source": [ "---\n", "\n", - "## DS 2: ADS 2/3 Unexplained\n", + "## DS 2: ADS 2/3 Unexplained and Interaction\n", "\n", - "DS 2 has singleton cells. The unexplained component uses the pooled R2 sigma (Eq 15.18: S_R2 / 0.7) instead of within-cell standard deviations:" + "DS 2 has singleton cells, so there is no within-cell spread to average. The unexplained component is the sample variance of R2 (10-1 manual Eq 15-17), and the interaction is what the other four components leave of the total loss $(\\bar{Y}_{..} - T)^2 + S^2$, set to 0 if negative (Eqs 15-18 to 15-20). With one observation per subgroup, interaction and noise cannot be separated cell by cell, so the interaction is backed out of the total rather than estimated directly:" ] }, { @@ -2307,10 +2308,10 @@ "id": "6qaqgx8re3a", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:44.257086Z", - "iopub.status.busy": "2026-05-21T12:14:44.257018Z", - "iopub.status.idle": "2026-05-21T12:14:44.319900Z", - "shell.execute_reply": "2026-05-21T12:14:44.319620Z" + "iopub.execute_input": "2026-10-05T00:32:54.227584Z", + "iopub.status.busy": "2026-10-05T00:32:54.227532Z", + "iopub.status.idle": "2026-10-05T00:32:54.246629Z", + "shell.execute_reply": "2026-10-05T00:32:54.246316Z" } }, "outputs": [ @@ -2330,19 +2331,19 @@ " Target=237.0, Ybar=237.782, N=800\n", " K=8 PDC levels, T=100 periods, SDS=2\n", "\n", - " Expected Loss (EL) = 3.804\n", + " Expected Loss (EL) = 2.909\n", "\n", " Loss Decomposition:\n", - " PDCxPT INT: 42.494%\n", - " UNEXPLAINED: 23.585%\n", - " MEAN: 16.093%\n", - " PDC: 15.58%\n", - " PT: 2.248%\n", + " UNEXPLAINED: 30.045%\n", + " PDCxPT INT: 25.608%\n", + " MEAN: 21.039%\n", + " PDC: 20.369%\n", + " PT: 2.939%\n", "\n", " PDC Decomposition:\n", - " FACTOR 1: 10.558%\n", - " FACTOR 2: 4.131%\n", - " PDF INT: 0.891%" + " FACTOR 1: 13.66%\n", + " FACTOR 2: 5.459%\n", + " PDF INT: 1.25%" ] }, "execution_count": 11, @@ -2384,10 +2385,10 @@ "id": "wk639w7o4c", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:44.321160Z", - "iopub.status.busy": "2026-05-21T12:14:44.321063Z", - "iopub.status.idle": "2026-05-21T12:14:44.361086Z", - "shell.execute_reply": "2026-05-21T12:14:44.360858Z" + "iopub.execute_input": "2026-10-05T00:32:54.247617Z", + "iopub.status.busy": "2026-10-05T00:32:54.247567Z", + "iopub.status.idle": "2026-10-05T00:32:54.264594Z", + "shell.execute_reply": "2026-10-05T00:32:54.264233Z" } }, "outputs": [ @@ -2407,14 +2408,14 @@ " Target=237.0, Ybar=237.817, N=4000\n", " K=4 PDC levels, T=100 periods, SDS=1\n", "\n", - " Expected Loss (EL) = 4.079\n", + " Expected Loss (EL) = 3.94\n", "\n", " Loss Decomposition:\n", - " UNEXPLAINED: 63.325%\n", - " MEAN: 16.359%\n", - " PDCxPT INT: 9.028%\n", - " PDC: 8.681%\n", - " PT: 2.606%" + " UNEXPLAINED: 62.028%\n", + " MEAN: 16.937%\n", + " PDCxPT INT: 9.347%\n", + " PDC: 8.988%\n", + " PT: 2.699%" ] }, "execution_count": 12, @@ -2456,10 +2457,10 @@ "id": "frcrvde68c5", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:44.362317Z", - "iopub.status.busy": "2026-05-21T12:14:44.362226Z", - "iopub.status.idle": "2026-05-21T12:14:44.427825Z", - "shell.execute_reply": "2026-05-21T12:14:44.427574Z" + "iopub.execute_input": "2026-10-05T00:32:54.265661Z", + "iopub.status.busy": "2026-10-05T00:32:54.265614Z", + "iopub.status.idle": "2026-10-05T00:32:54.274382Z", + "shell.execute_reply": "2026-10-05T00:32:54.274118Z" } }, "outputs": [ @@ -2495,7 +2496,7 @@ "\n", "For reference, here are the Bishop Chapter 15 equations implemented by `loss_function()`:\n", "\n", - "**Expected Loss Decomposition** (Eq. 15.13):\n", + "**Expected Loss Decomposition** (Eq. 15-13):\n", "\n", "$$EL = (\\bar{Y}_{..} - T)^2 + \\hat{\\sigma}^2_w + \\frac{1}{K}\\sum_k \\rho_k^2 + \\frac{1}{T}\\sum_t \\tau_t^2 + \\frac{1}{KT}\\sum_{k,t} (\\rho\\tau)_{kt}^2$$\n", "\n", @@ -2504,18 +2505,22 @@ "| Term | Component | Equation |\n", "|------|-----------|----------|\n", "| $(\\bar{Y}_{..} - T)^2$ | Centering | Squared distance from grand mean to target |\n", - "| $\\hat{\\sigma}^2_w$ | Unexplained | Within-cell sigma squared (Eq. 15.16-15.19) |\n", - "| $\\frac{1}{K}\\sum_k \\rho_k^2$ | PDC | Mean squared PDC effect (Eq. 15.20) |\n", + "| $\\hat{\\sigma}^2_w$ | Unexplained | Noise variance (Eq. 15-16 / 15-17) |\n", + "| $\\frac{1}{K}\\sum_k \\rho_k^2$ | PDC | Mean squared PDC effect (Eq. 15-22) |\n", "| $\\frac{1}{T}\\sum_t \\tau_t^2$ | Time | Mean squared time effect |\n", - "| $\\frac{1}{KT}\\sum_{k,t} (\\rho\\tau)_{kt}^2$ | Interaction | Mean squared PDC x time interaction |\n", + "| $\\frac{1}{KT}\\sum_{k,t} (\\rho\\tau)_{kt}^2$ | Interaction | Mean squared PDC x time interaction (DS 1/4); remainder (DS 2/3/5/6) |\n", + "\n", + "Equation numbers are those of Bishop's VAS manual dated 10-1-2026.\n", + "\n", + "**Replicated cells** (ADS 1, Eq. 15-16) — the average cell variance:\n", "\n", - "**Unexplained — replicated cells** (DS 1, Eq. 15.16/15.17):\n", + "$$\\hat{\\sigma}^2_w = \\frac{1}{KT}\\sum_{k,t} S_{kt}^2$$\n", "\n", - "$$\\hat{\\sigma}^2_w = \\frac{1}{KT}\\sum_{k,t} \\left(\\frac{S_{kt}}{c_4(n_{kt})}\\right)^2$$\n", + "**Singleton cells** (ADS 2/3) — the variance of R2 (Eq. 15-17), and the interaction as the remainder of the total loss (Eqs. 15-18 to 15-20), floored at 0:\n", "\n", - "**Unexplained — ADS 2/3** (Eq. 15.18/15.19):\n", + "$$\\hat{\\sigma}^2_w = S_{R2}^2 \\qquad EL_{PDC\\times PT} = \\max\\left(S^2 - \\frac{1}{K}\\sum_k \\rho_k^2 - \\frac{1}{T}\\sum_t \\tau_t^2 - S_{R2}^2,\\ 0\\right)$$\n", "\n", - "$$\\hat{\\sigma}^2_w = \\left(\\frac{S_{R2}}{0.7}\\right)^2$$\n", + "where $S^2$ is the sample variance of all observations.\n", "\n", "**Effects**:\n", "\n", @@ -2541,7 +2546,7 @@ "| `pdc_by_factor` | Per-factor main effect losses (multi-factor) |\n", "| Default target | Target = grand mean, centering = 0 |\n", "| Identity | 5 components sum exactly to total |\n", - "| DS 2/3 | Unexplained uses pooled R2 sigma instead of within-cell |\n", + "| DS 2/3 | Unexplained is the variance of R2; interaction is the remainder of the total loss |\n", "| Requires | Factors + time (VAS residuals) |\n", "\n", "## Next Steps\n", @@ -2568,7 +2573,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.7" + "version": "3.14.2" } }, "nbformat": 4, diff --git a/docs/tutorials/process-capability-before-after.ipynb b/docs/tutorials/process-capability-before-after.ipynb index 5a5af39..804b7e5 100644 --- a/docs/tutorials/process-capability-before-after.ipynb +++ b/docs/tutorials/process-capability-before-after.ipynb @@ -48,10 +48,10 @@ "id": "13b5b8e9", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:31.530718Z", - "iopub.status.busy": "2026-07-11T22:50:31.530369Z", - "iopub.status.idle": "2026-07-11T22:50:32.226804Z", - "shell.execute_reply": "2026-07-11T22:50:32.226586Z" + "iopub.execute_input": "2026-10-05T00:33:06.334576Z", + "iopub.status.busy": "2026-10-05T00:33:06.334281Z", + "iopub.status.idle": "2026-10-05T00:33:06.563911Z", + "shell.execute_reply": "2026-10-05T00:33:06.563575Z" } }, "outputs": [ @@ -197,10 +197,10 @@ "id": "e7929215", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:32.228127Z", - "iopub.status.busy": "2026-07-11T22:50:32.228022Z", - "iopub.status.idle": "2026-07-11T22:50:32.272561Z", - "shell.execute_reply": "2026-07-11T22:50:32.272337Z" + "iopub.execute_input": "2026-10-05T00:33:06.565122Z", + "iopub.status.busy": "2026-10-05T00:33:06.565046Z", + "iopub.status.idle": "2026-10-05T00:33:06.579313Z", + "shell.execute_reply": "2026-10-05T00:33:06.578911Z" } }, "outputs": [ @@ -251,10 +251,10 @@ "id": "ac467211", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:32.273755Z", - "iopub.status.busy": "2026-07-11T22:50:32.273675Z", - "iopub.status.idle": "2026-07-11T22:50:32.276091Z", - "shell.execute_reply": "2026-07-11T22:50:32.275886Z" + "iopub.execute_input": "2026-10-05T00:33:06.580409Z", + "iopub.status.busy": "2026-10-05T00:33:06.580352Z", + "iopub.status.idle": "2026-10-05T00:33:06.582494Z", + "shell.execute_reply": "2026-10-05T00:33:06.582117Z" } }, "outputs": [ @@ -269,6 +269,7 @@ " Pp=None Ppk=0.193 (lower=None, upper=0.193)\n", "\n", " Potential Capability (R2 sigma):\n", + " centre=220.771, sigma_hat_r2=23.799\n", " Cp=None Cpk=0.269 (lower=None, upper=0.269)\n", "\n", " Z-scores:\n", @@ -298,10 +299,10 @@ "id": "a45ddbf1", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:32.277132Z", - "iopub.status.busy": "2026-07-11T22:50:32.277054Z", - "iopub.status.idle": "2026-07-11T22:50:33.054720Z", - "shell.execute_reply": "2026-07-11T22:50:33.054454Z" + "iopub.execute_input": "2026-10-05T00:33:06.583407Z", + "iopub.status.busy": "2026-10-05T00:33:06.583352Z", + "iopub.status.idle": "2026-10-05T00:33:07.400702Z", + "shell.execute_reply": "2026-10-05T00:33:07.400363Z" } }, "outputs": [ @@ -497,8 +498,8 @@ "width": 1.5 }, "type": "line", - "x0": 121.30952260186555, - "x1": 121.30952260186555, + "x0": 121.30952260184296, + "x1": 121.30952260184296, "xref": "x", "y0": 0, "y1": 1, @@ -512,8 +513,8 @@ "width": 1.5 }, "type": "line", - "x0": 320.2321440648011, - "x1": 320.2321440648011, + "x0": 320.23214406482373, + "x1": 320.23214406482373, "xref": "x", "y0": 0, "y1": 1, @@ -1365,10 +1366,10 @@ "id": "21626a5c", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:33.056082Z", - "iopub.status.busy": "2026-07-11T22:50:33.055979Z", - "iopub.status.idle": "2026-07-11T22:50:33.059449Z", - "shell.execute_reply": "2026-07-11T22:50:33.059223Z" + "iopub.execute_input": "2026-10-05T00:33:07.401836Z", + "iopub.status.busy": "2026-10-05T00:33:07.401773Z", + "iopub.status.idle": "2026-10-05T00:33:07.404937Z", + "shell.execute_reply": "2026-10-05T00:33:07.404616Z" } }, "outputs": [ @@ -1395,10 +1396,10 @@ "id": "e02de63e", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:33.060528Z", - "iopub.status.busy": "2026-07-11T22:50:33.060453Z", - "iopub.status.idle": "2026-07-11T22:50:33.081763Z", - "shell.execute_reply": "2026-07-11T22:50:33.081529Z" + "iopub.execute_input": "2026-10-05T00:33:07.405875Z", + "iopub.status.busy": "2026-10-05T00:33:07.405816Z", + "iopub.status.idle": "2026-10-05T00:33:07.420453Z", + "shell.execute_reply": "2026-10-05T00:33:07.420154Z" } }, "outputs": [ @@ -1594,8 +1595,8 @@ "width": 1.5 }, "type": "line", - "x0": 169.32146175853416, - "x1": 169.32146175853416, + "x0": 169.32146175853006, + "x1": 169.32146175853006, "xref": "x", "y0": 0, "y1": 1, @@ -1609,8 +1610,8 @@ "width": 1.5 }, "type": "line", - "x0": 313.1904430033706, - "x1": 313.1904430033706, + "x0": 313.1904430033747, + "x1": 313.1904430033747, "xref": "x", "y0": 0, "y1": 1, @@ -2438,10 +2439,10 @@ "id": "6ebc624f", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:33.082888Z", - "iopub.status.busy": "2026-07-11T22:50:33.082814Z", - "iopub.status.idle": "2026-07-11T22:50:33.104406Z", - "shell.execute_reply": "2026-07-11T22:50:33.104194Z" + "iopub.execute_input": "2026-10-05T00:33:07.421459Z", + "iopub.status.busy": "2026-10-05T00:33:07.421404Z", + "iopub.status.idle": "2026-10-05T00:33:07.435708Z", + "shell.execute_reply": "2026-10-05T00:33:07.435295Z" } }, "outputs": [ @@ -2637,8 +2638,8 @@ "width": 1.5 }, "type": "line", - "x0": 113.37645275905928, - "x1": 113.37645275905928, + "x0": 113.37645275905408, + "x1": 113.37645275905408, "xref": "x", "y0": 0, "y1": 1, @@ -2652,8 +2653,8 @@ "width": 1.5 }, "type": "line", - "x0": 296.2994731668666, - "x1": 296.2994731668666, + "x0": 296.29947316687185, + "x1": 296.29947316687185, "xref": "x", "y0": 0, "y1": 1, @@ -3507,10 +3508,10 @@ "id": "2cbef29b", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:33.105768Z", - "iopub.status.busy": "2026-07-11T22:50:33.105687Z", - "iopub.status.idle": "2026-07-11T22:50:33.107824Z", - "shell.execute_reply": "2026-07-11T22:50:33.107610Z" + "iopub.execute_input": "2026-10-05T00:33:07.436719Z", + "iopub.status.busy": "2026-10-05T00:33:07.436657Z", + "iopub.status.idle": "2026-10-05T00:33:07.438472Z", + "shell.execute_reply": "2026-10-05T00:33:07.438182Z" } }, "outputs": [ @@ -3562,10 +3563,10 @@ "id": "b02c6723", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:33.108992Z", - "iopub.status.busy": "2026-07-11T22:50:33.108916Z", - "iopub.status.idle": "2026-07-11T22:50:33.182712Z", - "shell.execute_reply": "2026-07-11T22:50:33.182473Z" + "iopub.execute_input": "2026-10-05T00:33:07.439384Z", + "iopub.status.busy": "2026-10-05T00:33:07.439331Z", + "iopub.status.idle": "2026-10-05T00:33:07.454885Z", + "shell.execute_reply": "2026-10-05T00:33:07.454604Z" } }, "outputs": [ @@ -3606,10 +3607,10 @@ "id": "502324fb", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:33.183952Z", - "iopub.status.busy": "2026-07-11T22:50:33.183873Z", - "iopub.status.idle": "2026-07-11T22:50:33.187446Z", - "shell.execute_reply": "2026-07-11T22:50:33.187214Z" + "iopub.execute_input": "2026-10-05T00:33:07.456021Z", + "iopub.status.busy": "2026-10-05T00:33:07.455964Z", + "iopub.status.idle": "2026-10-05T00:33:07.458797Z", + "shell.execute_reply": "2026-10-05T00:33:07.458527Z" } }, "outputs": [ @@ -3655,10 +3656,10 @@ "id": "e941c111", "metadata": { "execution": { - "iopub.execute_input": "2026-07-11T22:50:33.188532Z", - "iopub.status.busy": "2026-07-11T22:50:33.188442Z", - "iopub.status.idle": "2026-07-11T22:50:33.190388Z", - "shell.execute_reply": "2026-07-11T22:50:33.190195Z" + "iopub.execute_input": "2026-10-05T00:33:07.459805Z", + "iopub.status.busy": "2026-10-05T00:33:07.459757Z", + "iopub.status.idle": "2026-10-05T00:33:07.461660Z", + "shell.execute_reply": "2026-10-05T00:33:07.461388Z" } }, "outputs": [ @@ -3677,6 +3678,7 @@ " 'ppk_upper': np.float64(0.384),\n", " 'ppk': np.float64(0.384),\n", " 'sigma_hat_r2': np.float64(23.799),\n", + " 'potential_center': 204.838,\n", " 'cp': None,\n", " 'cpk_lower': None,\n", " 'cpk_upper': np.float64(0.492),\n", @@ -3746,7 +3748,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.7" + "version": "3.14.2" } }, "nbformat": 4, diff --git a/docs/tutorials/process-capability.ipynb b/docs/tutorials/process-capability.ipynb index eab30c9..2bc42a9 100644 --- a/docs/tutorials/process-capability.ipynb +++ b/docs/tutorials/process-capability.ipynb @@ -44,33 +44,34 @@ "id": "cell-2", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:34.546907Z", - "iopub.status.busy": "2026-05-21T12:14:34.546668Z", - "iopub.status.idle": "2026-05-21T12:14:35.077160Z", - "shell.execute_reply": "2026-05-21T12:14:35.076899Z" + "iopub.execute_input": "2026-10-05T00:33:03.432205Z", + "iopub.status.busy": "2026-10-05T00:33:03.432127Z", + "iopub.status.idle": "2026-10-05T00:33:03.627888Z", + "shell.execute_reply": "2026-10-05T00:33:03.627401Z" } }, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Dataset: 4000 rows x 11 columns\n", + "Columns: ['PRODUCTION TIME', 'FACTOR 1', 'FACTOR 2', 'FACTOR 1xFACTOR 2', 'PM SDS 1', 'PM SDS 2', 'PM SDS 3', 'PM SDS 4', 'PM SDS 5', 'PM SDS 6', 'PM INERT']\n" + ] + }, { "name": "stderr", "output_type": "stream", "text": [ - "Found 11655 garbage/NA values across 5 column(s):\n", + "/var/folders/cp/dvnklhkn2dd12f_pgg5mhydw0000gp/T/ipykernel_38965/3003584475.py:4: ProcessBehaviorWarning: Found 11655 garbage/NA values across 5 column(s):\n", " • PM SDS 2: 3200 values\n", " • PM SDS 3: 958 values\n", " • PM SDS 4: 2134 values\n", " • PM SDS 5: 3359 values\n", " • PM SDS 6: 2004 values\n", "\n", - "These values were converted to NA and will be excluded from analysis.\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Dataset: 4000 rows x 11 columns\n", - "Columns: ['PRODUCTION TIME', 'FACTOR 1', 'FACTOR 2', 'FACTOR 1xFACTOR 2', 'PM SDS 1', 'PM SDS 2', 'PM SDS 3', 'PM SDS 4', 'PM SDS 5', 'PM SDS 6', 'PM INERT']\n" + "These values were converted to NA and will be excluded from analysis.\n", + " pb = ProcessBehavior.read_csv('../../validation/PBTESTDATABASE_T100.csv')\n" ] } ], @@ -90,10 +91,10 @@ "id": "cell-3", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:35.078696Z", - "iopub.status.busy": "2026-05-21T12:14:35.078583Z", - "iopub.status.idle": "2026-05-21T12:14:35.157716Z", - "shell.execute_reply": "2026-05-21T12:14:35.157426Z" + "iopub.execute_input": "2026-10-05T00:33:03.629003Z", + "iopub.status.busy": "2026-10-05T00:33:03.628939Z", + "iopub.status.idle": "2026-10-05T00:33:03.651827Z", + "shell.execute_reply": "2026-10-05T00:33:03.651425Z" } }, "outputs": [ @@ -136,10 +137,10 @@ "id": "cell-5", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:35.159138Z", - "iopub.status.busy": "2026-05-21T12:14:35.159046Z", - "iopub.status.idle": "2026-05-21T12:14:35.162593Z", - "shell.execute_reply": "2026-05-21T12:14:35.162351Z" + "iopub.execute_input": "2026-10-05T00:33:03.652818Z", + "iopub.status.busy": "2026-10-05T00:33:03.652750Z", + "iopub.status.idle": "2026-10-05T00:33:03.655706Z", + "shell.execute_reply": "2026-10-05T00:33:03.655352Z" } }, "outputs": [ @@ -154,6 +155,7 @@ " Pp=0.958 Ppk=0.923 (lower=0.923, upper=0.993)\n", "\n", " Potential Capability (R2 sigma):\n", + " centre=237.817, sigma_hat_r2=0.803\n", " Cp=2.077 Cpk=2.001 (lower=2.001, upper=2.153)\n", "\n", " Z-scores:\n", @@ -214,10 +216,10 @@ "id": "qsaqhdrtn3l", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:35.163828Z", - "iopub.status.busy": "2026-05-21T12:14:35.163758Z", - "iopub.status.idle": "2026-05-21T12:14:35.956093Z", - "shell.execute_reply": "2026-05-21T12:14:35.955839Z" + "iopub.execute_input": "2026-10-05T00:33:03.656738Z", + "iopub.status.busy": "2026-10-05T00:33:03.656682Z", + "iopub.status.idle": "2026-10-05T00:33:04.463322Z", + "shell.execute_reply": "2026-10-05T00:33:04.463000Z" } }, "outputs": [ @@ -237,7 +239,7 @@ "showlegend": true, "type": "histogram", "x": { - "bdata": 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"dtype": "f8" } }, @@ -1298,10 +1300,10 @@ "id": "cell-8", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:35.957441Z", - "iopub.status.busy": "2026-05-21T12:14:35.957343Z", - "iopub.status.idle": "2026-05-21T12:14:35.959489Z", - "shell.execute_reply": "2026-05-21T12:14:35.959243Z" + "iopub.execute_input": "2026-10-05T00:33:04.464599Z", + "iopub.status.busy": "2026-10-05T00:33:04.464514Z", + "iopub.status.idle": "2026-10-05T00:33:04.466529Z", + "shell.execute_reply": "2026-10-05T00:33:04.466153Z" } }, "outputs": [ @@ -1347,10 +1349,10 @@ "id": "cell-10", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:35.960617Z", - "iopub.status.busy": "2026-05-21T12:14:35.960531Z", - "iopub.status.idle": "2026-05-21T12:14:35.962778Z", - "shell.execute_reply": "2026-05-21T12:14:35.962561Z" + "iopub.execute_input": "2026-10-05T00:33:04.467435Z", + "iopub.status.busy": "2026-10-05T00:33:04.467377Z", + "iopub.status.idle": "2026-10-05T00:33:04.469510Z", + "shell.execute_reply": "2026-10-05T00:33:04.469127Z" } }, "outputs": [ @@ -1369,6 +1371,7 @@ " 'ppk_upper': np.float64(0.9927),\n", " 'ppk': np.float64(0.9225),\n", " 'sigma_hat_r2': np.float64(0.8025),\n", + " 'potential_center': 237.8169,\n", " 'cp': np.float64(2.0768),\n", " 'cpk_lower': np.float64(2.0007),\n", " 'cpk_upper': np.float64(2.1529),\n", @@ -1413,10 +1416,10 @@ "id": "cell-12", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:35.963889Z", - "iopub.status.busy": "2026-05-21T12:14:35.963801Z", - "iopub.status.idle": "2026-05-21T12:14:35.966185Z", - "shell.execute_reply": "2026-05-21T12:14:35.965957Z" + "iopub.execute_input": "2026-10-05T00:33:04.470410Z", + "iopub.status.busy": "2026-10-05T00:33:04.470348Z", + "iopub.status.idle": "2026-10-05T00:33:04.472386Z", + "shell.execute_reply": "2026-10-05T00:33:04.472093Z" } }, "outputs": [ @@ -1454,10 +1457,10 @@ "id": "cell-14", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:35.967328Z", - "iopub.status.busy": "2026-05-21T12:14:35.967236Z", - "iopub.status.idle": "2026-05-21T12:14:35.970718Z", - "shell.execute_reply": "2026-05-21T12:14:35.970497Z" + "iopub.execute_input": "2026-10-05T00:33:04.473262Z", + "iopub.status.busy": "2026-10-05T00:33:04.473203Z", + "iopub.status.idle": "2026-10-05T00:33:04.476089Z", + "shell.execute_reply": "2026-10-05T00:33:04.475667Z" } }, "outputs": [ @@ -1511,10 +1514,10 @@ "id": "cell-17", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:35.971860Z", - "iopub.status.busy": "2026-05-21T12:14:35.971790Z", - "iopub.status.idle": "2026-05-21T12:14:35.974612Z", - "shell.execute_reply": "2026-05-21T12:14:35.974399Z" + "iopub.execute_input": "2026-10-05T00:33:04.477151Z", + "iopub.status.busy": "2026-10-05T00:33:04.477088Z", + "iopub.status.idle": "2026-10-05T00:33:04.479520Z", + "shell.execute_reply": "2026-10-05T00:33:04.479179Z" } }, "outputs": [ @@ -1568,7 +1571,7 @@ "source": [ "## When Cp/Cpk Are Unavailable\n", "\n", - "Potential capability (Cp/Cpk) requires R2 residuals from the Variance Analysis System. R2 is only computed when the study has both **factors** and **time** (DS 1-6). If either is missing, the result explains why:" + "Potential capability (Cp/Cpk) requires R2 residuals from the Variation Analysis System. R2 is only computed when the study has both **factors** and **time** (DS 1-6). If either is missing, the result explains why:" ] }, { @@ -1577,10 +1580,10 @@ "id": "cell-20", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:35.975667Z", - "iopub.status.busy": "2026-05-21T12:14:35.975598Z", - "iopub.status.idle": "2026-05-21T12:14:35.999785Z", - "shell.execute_reply": "2026-05-21T12:14:35.999550Z" + "iopub.execute_input": "2026-10-05T00:33:04.480382Z", + "iopub.status.busy": "2026-10-05T00:33:04.480332Z", + "iopub.status.idle": "2026-10-05T00:33:04.490239Z", + "shell.execute_reply": "2026-10-05T00:33:04.489944Z" } }, "outputs": [ @@ -1629,10 +1632,10 @@ "id": "cell-22", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:36.000906Z", - "iopub.status.busy": "2026-05-21T12:14:36.000837Z", - "iopub.status.idle": "2026-05-21T12:14:36.002994Z", - "shell.execute_reply": "2026-05-21T12:14:36.002793Z" + "iopub.execute_input": "2026-10-05T00:33:04.491158Z", + "iopub.status.busy": "2026-10-05T00:33:04.491108Z", + "iopub.status.idle": "2026-10-05T00:33:04.493080Z", + "shell.execute_reply": "2026-10-05T00:33:04.492791Z" } }, "outputs": [ @@ -1668,10 +1671,10 @@ "id": "cell-24", "metadata": { "execution": { - "iopub.execute_input": "2026-05-21T12:14:36.004085Z", - "iopub.status.busy": "2026-05-21T12:14:36.004010Z", - "iopub.status.idle": "2026-05-21T12:14:36.005712Z", - "shell.execute_reply": "2026-05-21T12:14:36.005504Z" + "iopub.execute_input": "2026-10-05T00:33:04.493932Z", + "iopub.status.busy": "2026-10-05T00:33:04.493872Z", + "iopub.status.idle": "2026-10-05T00:33:04.495370Z", + "shell.execute_reply": "2026-10-05T00:33:04.495016Z" } }, "outputs": [ @@ -1762,7 +1765,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.7" + "version": "3.14.2" } }, "nbformat": 4, diff --git a/docs/tutorials/sds-validation.ipynb b/docs/tutorials/sds-validation.ipynb index 6121514..890fdad 100644 --- a/docs/tutorials/sds-validation.ipynb +++ b/docs/tutorials/sds-validation.ipynb @@ -32,10 +32,10 @@ "execution_count": 1, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:02.508604Z", - "iopub.status.busy": "2026-08-31T22:38:02.508368Z", - "iopub.status.idle": "2026-08-31T22:38:02.784624Z", - "shell.execute_reply": "2026-08-31T22:38:02.784212Z" + "iopub.execute_input": "2026-10-05T00:32:56.237172Z", + "iopub.status.busy": "2026-10-05T00:32:56.236951Z", + "iopub.status.idle": "2026-10-05T00:32:56.451606Z", + "shell.execute_reply": "2026-10-05T00:32:56.451210Z" } }, "outputs": [ @@ -51,7 +51,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/cp/dvnklhkn2dd12f_pgg5mhydw0000gp/T/ipykernel_10922/489954322.py:3: ProcessBehaviorWarning: Found 11655 garbage/NA values across 5 column(s):\n", + "/var/folders/cp/dvnklhkn2dd12f_pgg5mhydw0000gp/T/ipykernel_38955/489954322.py:3: ProcessBehaviorWarning: Found 11655 garbage/NA values across 5 column(s):\n", " • PM SDS 2: 3200 values\n", " • PM SDS 3: 958 values\n", " • PM SDS 4: 2134 values\n", @@ -93,10 +93,10 @@ "execution_count": 2, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:02.797932Z", - "iopub.status.busy": "2026-08-31T22:38:02.797831Z", - "iopub.status.idle": "2026-08-31T22:38:02.821261Z", - "shell.execute_reply": "2026-08-31T22:38:02.820871Z" + "iopub.execute_input": "2026-10-05T00:32:56.464958Z", + "iopub.status.busy": "2026-10-05T00:32:56.464863Z", + "iopub.status.idle": "2026-10-05T00:32:56.487875Z", + "shell.execute_reply": "2026-10-05T00:32:56.487479Z" } }, "outputs": [ @@ -129,10 +129,10 @@ "execution_count": 3, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:02.822165Z", - "iopub.status.busy": "2026-08-31T22:38:02.822111Z", - "iopub.status.idle": "2026-08-31T22:38:02.824625Z", - "shell.execute_reply": "2026-08-31T22:38:02.824261Z" + "iopub.execute_input": "2026-10-05T00:32:56.488884Z", + "iopub.status.busy": "2026-10-05T00:32:56.488820Z", + "iopub.status.idle": "2026-10-05T00:32:56.491492Z", + "shell.execute_reply": "2026-10-05T00:32:56.491237Z" } }, "outputs": [ @@ -152,6 +152,7 @@ " FACTOR 2: observed=[1, 2]\n", "\n", " Structure: Complete structure\n", + " Series length: T=100. Sigma rests on within-cell replication.\n", "\n", " Available analyses (ADS 1):\n", " Primary: Histogram, Xbar *, S, X, mR\n", @@ -181,10 +182,10 @@ "execution_count": 4, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:02.825509Z", - "iopub.status.busy": "2026-08-31T22:38:02.825452Z", - "iopub.status.idle": "2026-08-31T22:38:02.937869Z", - "shell.execute_reply": "2026-08-31T22:38:02.937479Z" + "iopub.execute_input": "2026-10-05T00:32:56.492562Z", + "iopub.status.busy": "2026-10-05T00:32:56.492515Z", + "iopub.status.idle": "2026-10-05T00:32:57.030397Z", + "shell.execute_reply": "2026-10-05T00:32:57.030074Z" } }, "outputs": [ @@ -2286,10 +2287,10 @@ "execution_count": 5, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:02.938830Z", - "iopub.status.busy": "2026-08-31T22:38:02.938746Z", - "iopub.status.idle": "2026-08-31T22:38:02.951991Z", - "shell.execute_reply": "2026-08-31T22:38:02.951609Z" + "iopub.execute_input": "2026-10-05T00:32:57.031624Z", + "iopub.status.busy": "2026-10-05T00:32:57.031555Z", + "iopub.status.idle": "2026-10-05T00:32:57.044864Z", + "shell.execute_reply": "2026-10-05T00:32:57.044495Z" } }, "outputs": [ @@ -4055,10 +4056,10 @@ "execution_count": 6, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:02.952916Z", - "iopub.status.busy": "2026-08-31T22:38:02.952861Z", - "iopub.status.idle": "2026-08-31T22:38:03.172759Z", - "shell.execute_reply": "2026-08-31T22:38:03.172430Z" + "iopub.execute_input": "2026-10-05T00:32:57.045881Z", + "iopub.status.busy": "2026-10-05T00:32:57.045794Z", + "iopub.status.idle": "2026-10-05T00:32:57.268774Z", + "shell.execute_reply": "2026-10-05T00:32:57.268405Z" } }, "outputs": [ @@ -9930,10 +9931,10 @@ "execution_count": 7, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.174082Z", - "iopub.status.busy": "2026-08-31T22:38:03.174010Z", - "iopub.status.idle": "2026-08-31T22:38:03.186087Z", - "shell.execute_reply": "2026-08-31T22:38:03.185808Z" + "iopub.execute_input": "2026-10-05T00:32:57.270205Z", + "iopub.status.busy": "2026-10-05T00:32:57.270149Z", + "iopub.status.idle": "2026-10-05T00:32:57.282287Z", + "shell.execute_reply": "2026-10-05T00:32:57.281916Z" } }, "outputs": [ @@ -10904,10 +10905,10 @@ "execution_count": 8, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.187113Z", - "iopub.status.busy": "2026-08-31T22:38:03.187048Z", - "iopub.status.idle": "2026-08-31T22:38:03.198230Z", - "shell.execute_reply": "2026-08-31T22:38:03.197873Z" + "iopub.execute_input": "2026-10-05T00:32:57.283279Z", + "iopub.status.busy": "2026-10-05T00:32:57.283221Z", + "iopub.status.idle": "2026-10-05T00:32:57.294303Z", + "shell.execute_reply": "2026-10-05T00:32:57.293970Z" } }, "outputs": [ @@ -11848,10 +11849,10 @@ "execution_count": 9, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.199216Z", - "iopub.status.busy": "2026-08-31T22:38:03.199159Z", - "iopub.status.idle": "2026-08-31T22:38:03.210283Z", - "shell.execute_reply": "2026-08-31T22:38:03.209981Z" + "iopub.execute_input": "2026-10-05T00:32:57.295352Z", + "iopub.status.busy": "2026-10-05T00:32:57.295297Z", + "iopub.status.idle": "2026-10-05T00:32:57.306314Z", + "shell.execute_reply": "2026-10-05T00:32:57.305963Z" } }, "outputs": [ @@ -12813,10 +12814,10 @@ "execution_count": 10, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.211209Z", - "iopub.status.busy": "2026-08-31T22:38:03.211148Z", - "iopub.status.idle": "2026-08-31T22:38:03.221471Z", - "shell.execute_reply": "2026-08-31T22:38:03.221154Z" + "iopub.execute_input": "2026-10-05T00:32:57.307277Z", + "iopub.status.busy": "2026-10-05T00:32:57.307219Z", + "iopub.status.idle": "2026-10-05T00:32:57.317487Z", + "shell.execute_reply": "2026-10-05T00:32:57.317144Z" } }, "outputs": [ @@ -13753,10 +13754,10 @@ "execution_count": 11, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.222298Z", - "iopub.status.busy": "2026-08-31T22:38:03.222245Z", - "iopub.status.idle": "2026-08-31T22:38:03.233673Z", - "shell.execute_reply": "2026-08-31T22:38:03.233284Z" + "iopub.execute_input": "2026-10-05T00:32:57.318353Z", + "iopub.status.busy": "2026-10-05T00:32:57.318303Z", + "iopub.status.idle": "2026-10-05T00:32:57.329483Z", + "shell.execute_reply": "2026-10-05T00:32:57.329143Z" } }, "outputs": [ @@ -14715,10 +14716,10 @@ "execution_count": 12, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.234507Z", - "iopub.status.busy": "2026-08-31T22:38:03.234455Z", - "iopub.status.idle": "2026-08-31T22:38:03.244835Z", - "shell.execute_reply": "2026-08-31T22:38:03.244458Z" + "iopub.execute_input": "2026-10-05T00:32:57.330470Z", + "iopub.status.busy": "2026-10-05T00:32:57.330420Z", + "iopub.status.idle": "2026-10-05T00:32:57.340486Z", + "shell.execute_reply": "2026-10-05T00:32:57.340072Z" } }, "outputs": [ @@ -15653,10 +15654,10 @@ "execution_count": 13, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.245658Z", - "iopub.status.busy": "2026-08-31T22:38:03.245609Z", - "iopub.status.idle": "2026-08-31T22:38:03.259224Z", - "shell.execute_reply": "2026-08-31T22:38:03.258893Z" + "iopub.execute_input": "2026-10-05T00:32:57.341412Z", + "iopub.status.busy": "2026-10-05T00:32:57.341358Z", + "iopub.status.idle": "2026-10-05T00:32:57.354278Z", + "shell.execute_reply": "2026-10-05T00:32:57.353913Z" } }, "outputs": [ @@ -16484,7 +16485,7 @@ "4_2_100" ], "y": { - "bdata": 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", "dtype": "f8" } }, @@ -16506,23 +16507,21 @@ "x": [ "1_1_2", "1_1_3", - "1_1_8", + "1_1_5", + "1_1_13", "1_1_14", "1_1_15", "1_1_16", "1_1_19", - "1_1_22", + "1_1_28", "1_1_29", "1_1_30", "1_1_31", - "1_1_33", "1_1_42", "1_1_43", "1_1_48", - "1_1_54", - "1_1_56", - "1_1_58", - "1_1_70", + "1_1_52", + "1_1_66", "1_1_71", "1_1_72", "1_1_75", @@ -16531,231 +16530,158 @@ "1_1_80", "1_1_82", "1_1_83", - "1_1_84", "1_1_88", "1_1_90", - "1_1_92", + "1_1_93", + "1_1_98", "1_1_99", "1_1_100", "1_2_2", - "1_2_5", - "1_2_6", - "1_2_10", - "1_2_12", - "1_2_13", "1_2_14", - "1_2_17", - "1_2_27", - "1_2_30", - "1_2_33", - "1_2_34", - "1_2_41", - "1_2_42", - "1_2_43", + "1_2_15", "1_2_49", - "1_2_51", "1_2_52", "1_2_53", - "1_2_56", - "1_2_57", "1_2_59", - "1_2_61", - "1_2_62", - "1_2_63", - "1_2_64", - "1_2_65", - "1_2_66", - "1_2_85", - "1_2_86", - "1_2_88", - "1_2_91", - "1_2_92", - "1_2_94", + "1_2_78", + "1_2_83", + "1_2_84", "1_2_95", - "1_2_98", - "1_2_100", - "2_1_1", - "2_1_2", - "2_1_4", - "2_1_8", "2_1_17", "2_1_18", - "2_1_19", - "2_1_20", "2_1_36", - "2_1_39", - "2_1_40", "2_1_44", - "2_1_45", "2_1_46", - "2_1_49", "2_1_51", - "2_1_56", - "2_1_59", - "2_1_63", "2_1_66", "2_1_67", "2_1_68", - "2_1_69", "2_1_70", + "2_1_71", "2_1_72", "2_1_75", "2_1_77", "2_1_78", "2_1_80", "2_1_81", + "2_1_82", "2_1_83", - "2_1_91", + "2_1_84", "2_2_1", "2_2_2", - "2_2_5", - "2_2_6", "2_2_7", - "2_2_9", - "2_2_10", - "2_2_13", "2_2_14", - "2_2_15", - "2_2_16", - "2_2_17", - "2_2_18", - "2_2_19", - "2_2_20", - "2_2_21", - "2_2_23", - "2_2_24", - "2_2_27", - "2_2_28", + "2_2_25", "2_2_29", - "2_2_30", - "2_2_31", - "2_2_33", - "2_2_34", - "2_2_35", - "2_2_36", - "2_2_37", - "2_2_38", - "2_2_39", - "2_2_41", - "2_2_42", "2_2_43", - "2_2_44", "2_2_45", - "2_2_46", "2_2_48", - "2_2_50", - "2_2_51", "2_2_52", "2_2_53", - "2_2_54", - "2_2_55", - "2_2_57", - "2_2_58", - "2_2_60", - "2_2_61", - "2_2_64", - "2_2_65", + "2_2_66", "2_2_67", + "2_2_68", + "2_2_70", + "2_2_71", + "2_2_72", + "2_2_74", "2_2_75", + "2_2_76", + "2_2_77", + "2_2_78", + "2_2_79", "2_2_80", "2_2_81", - "2_2_85", - "2_2_91", - "2_2_95", - "2_2_98", - "2_2_99", - "2_2_100", - "3_1_1", + "2_2_82", + "2_2_83", "3_1_2", "3_1_3", - "3_1_4", "3_1_6", "3_1_7", - "3_1_8", - "3_1_9", - "3_1_10", - "3_1_12", - "3_1_13", "3_1_15", "3_1_16", - "3_1_17", "3_1_18", "3_1_19", "3_1_20", - "3_1_21", - "3_1_23", - "3_1_24", + "3_1_27", + "3_1_28", "3_1_29", "3_1_30", + "3_1_31", + "3_1_32", + "3_1_33", "3_1_34", "3_1_35", + "3_1_36", "3_1_44", "3_1_45", - "3_1_46", "3_1_47", "3_1_48", "3_1_49", - "3_1_50", - "3_1_51", "3_1_52", "3_1_55", "3_1_56", - "3_1_57", - "3_1_59", "3_1_60", - "3_1_61", - "3_1_62", - "3_1_63", - "3_1_64", "3_1_65", - "3_1_67", - "3_1_68", - "3_1_69", - "3_1_73", - "3_1_76", + "3_1_70", + "3_1_71", + "3_1_74", + "3_1_75", + "3_1_78", + "3_1_79", + "3_1_81", + "3_1_85", "3_1_88", + "3_1_90", + "3_1_91", "3_1_93", + "3_1_94", "3_1_98", + "3_1_99", "3_2_1", "3_2_2", + "3_2_4", + "3_2_6", + "3_2_7", + "3_2_9", "3_2_14", "3_2_15", + "3_2_17", + "3_2_18", + "3_2_20", "3_2_26", "3_2_27", - "3_2_30", "3_2_31", - "3_2_32", "3_2_33", "3_2_34", "3_2_35", "3_2_36", - "3_2_37", "3_2_38", "3_2_39", "3_2_42", "3_2_43", "3_2_44", - "3_2_52", + "3_2_45", + "3_2_47", + "3_2_49", "3_2_53", + "3_2_55", + "3_2_59", + "3_2_60", + "3_2_67", + "3_2_69", "3_2_70", "3_2_71", "3_2_72", "3_2_74", - "3_2_78", - "3_2_79", "3_2_80", - "3_2_81", "3_2_82", "3_2_83", - "3_2_84", "3_2_85", - "3_2_89", "3_2_90", "3_2_91", "3_2_92", "3_2_94", - "3_2_95", - "3_2_97", "3_2_100", "4_1_1", "4_1_2", @@ -16765,59 +16691,55 @@ "4_1_10", "4_1_15", "4_1_16", - "4_1_18", "4_1_20", "4_1_21", - "4_1_22", "4_1_27", "4_1_28", "4_1_29", "4_1_31", + "4_1_32", "4_1_33", "4_1_34", "4_1_36", - "4_1_37", + "4_1_38", "4_1_39", "4_1_41", + "4_1_43", "4_1_44", "4_1_45", "4_1_49", "4_1_50", "4_1_54", - "4_1_55", - "4_1_57", "4_1_59", - "4_1_62", - "4_1_63", "4_1_64", "4_1_67", - "4_1_69", "4_1_70", "4_1_77", "4_1_78", + "4_1_79", "4_1_80", "4_1_82", "4_1_83", "4_1_88", "4_1_89", "4_1_91", + "4_1_93", + "4_1_95", "4_1_99", "4_1_100", "4_2_1", "4_2_2", "4_2_4", - "4_2_5", "4_2_6", - "4_2_11", - "4_2_12", - "4_2_13", + "4_2_7", "4_2_14", "4_2_15", - "4_2_16", - "4_2_17", "4_2_18", "4_2_20", - "4_2_21", + "4_2_26", + "4_2_27", + "4_2_28", + "4_2_30", "4_2_31", "4_2_33", "4_2_34", @@ -16835,25 +16757,28 @@ "4_2_52", "4_2_53", "4_2_54", - "4_2_56", - "4_2_61", "4_2_64", "4_2_65", "4_2_66", "4_2_67", "4_2_71", "4_2_74", + "4_2_75", "4_2_80", "4_2_82", "4_2_84", + "4_2_85", "4_2_90", "4_2_91", + "4_2_92", "4_2_94", "4_2_95", + "4_2_97", + "4_2_98", "4_2_100" ], "y": { - "bdata": 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"dtype": "f8" } } @@ -17758,10 +17683,10 @@ "execution_count": 14, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.260152Z", - "iopub.status.busy": "2026-08-31T22:38:03.260097Z", - "iopub.status.idle": "2026-08-31T22:38:03.272423Z", - "shell.execute_reply": "2026-08-31T22:38:03.272054Z" + "iopub.execute_input": "2026-10-05T00:32:57.355282Z", + "iopub.status.busy": "2026-10-05T00:32:57.355217Z", + "iopub.status.idle": "2026-10-05T00:32:57.367759Z", + "shell.execute_reply": "2026-10-05T00:32:57.367402Z" } }, "outputs": [ @@ -19527,10 +19452,10 @@ "execution_count": 15, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.273252Z", - "iopub.status.busy": "2026-08-31T22:38:03.273202Z", - "iopub.status.idle": "2026-08-31T22:38:03.297702Z", - "shell.execute_reply": "2026-08-31T22:38:03.297396Z" + "iopub.execute_input": "2026-10-05T00:32:57.368703Z", + "iopub.status.busy": "2026-10-05T00:32:57.368654Z", + "iopub.status.idle": "2026-10-05T00:32:57.387445Z", + "shell.execute_reply": "2026-10-05T00:32:57.387099Z" } }, "outputs": [ @@ -20617,10 +20542,10 @@ "execution_count": 16, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.298568Z", - "iopub.status.busy": "2026-08-31T22:38:03.298519Z", - "iopub.status.idle": "2026-08-31T22:38:03.338901Z", - "shell.execute_reply": "2026-08-31T22:38:03.338528Z" + "iopub.execute_input": "2026-10-05T00:32:57.388499Z", + "iopub.status.busy": "2026-10-05T00:32:57.388447Z", + "iopub.status.idle": "2026-10-05T00:32:57.441626Z", + "shell.execute_reply": "2026-10-05T00:32:57.441232Z" } }, "outputs": [ @@ -20631,6 +20556,8036 @@ "plotlyServerURL": "https://plot.ly" }, "data": [ + { + "hoverinfo": "skip", + "line": { + "color": "#3366CC", + "width": 1.0 + }, + "mode": "lines", + "name": "X (lanes)", + "opacity": 1.0, + "showlegend": false, + "type": "scatter", + "x": [ + 0, + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, 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+48794,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": -2.63348, - "y1": -2.63348 + "y0": -2.63306, + "y1": -2.63306 }, { "line": { @@ -41840,10 +49795,10 @@ "execution_count": 17, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.341320Z", - "iopub.status.busy": "2026-08-31T22:38:03.341250Z", - "iopub.status.idle": "2026-08-31T22:38:03.363013Z", - "shell.execute_reply": "2026-08-31T22:38:03.362605Z" + "iopub.execute_input": "2026-10-05T00:32:57.446922Z", + "iopub.status.busy": "2026-10-05T00:32:57.446836Z", + "iopub.status.idle": "2026-10-05T00:32:57.469388Z", + "shell.execute_reply": "2026-10-05T00:32:57.469033Z" } }, "outputs": [ @@ -41866,6 +49821,7 @@ " FACTOR 2: planned=[1, 2], observed=[1, 2]\n", "\n", " Structure: Complete structure\n", + " Series length: T=100. Sigma rests on within-cell replication.\n", "\n", " Available analyses (ADS 1):\n", " Primary: Histogram, Xbar *, S, X, mR\n", @@ -41915,10 +49871,10 @@ "execution_count": 18, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.363930Z", - "iopub.status.busy": "2026-08-31T22:38:03.363868Z", - "iopub.status.idle": "2026-08-31T22:38:03.381693Z", - "shell.execute_reply": "2026-08-31T22:38:03.381291Z" + "iopub.execute_input": "2026-10-05T00:32:57.470550Z", + "iopub.status.busy": "2026-10-05T00:32:57.470480Z", + "iopub.status.idle": "2026-10-05T00:32:57.488649Z", + "shell.execute_reply": "2026-10-05T00:32:57.488304Z" } }, "outputs": [ @@ -41950,10 +49906,10 @@ "execution_count": 19, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.382579Z", - "iopub.status.busy": "2026-08-31T22:38:03.382521Z", - "iopub.status.idle": "2026-08-31T22:38:03.384738Z", - "shell.execute_reply": "2026-08-31T22:38:03.384386Z" + "iopub.execute_input": "2026-10-05T00:32:57.489556Z", + "iopub.status.busy": "2026-10-05T00:32:57.489503Z", + "iopub.status.idle": "2026-10-05T00:32:57.491947Z", + "shell.execute_reply": "2026-10-05T00:32:57.491610Z" } }, "outputs": [ @@ -41973,6 +49929,7 @@ " FACTOR 2: observed=[1, 2]\n", "\n", " Structure: Complete structure\n", + " Series length: T=100. Sigma for X/mR rests on 99 moving ranges.\n", "\n", " Available analyses (ADS 2):\n", " Primary: Histogram, Xbar, S, X *, mR\n", @@ -42006,10 +49963,10 @@ "execution_count": 20, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.385553Z", - "iopub.status.busy": "2026-08-31T22:38:03.385503Z", - "iopub.status.idle": "2026-08-31T22:38:03.478713Z", - "shell.execute_reply": "2026-08-31T22:38:03.478297Z" + "iopub.execute_input": "2026-10-05T00:32:57.492808Z", + "iopub.status.busy": "2026-10-05T00:32:57.492763Z", + "iopub.status.idle": "2026-10-05T00:32:57.596868Z", + "shell.execute_reply": "2026-10-05T00:32:57.596475Z" } }, "outputs": [ @@ -42020,6 +49977,1638 @@ "plotlyServerURL": "https://plot.ly" }, "data": [ + { + "hoverinfo": "skip", + "line": { + "color": "#3366CC", + "width": 1.5 + }, + "mode": "lines", + "name": "X (lanes)", + "opacity": 1.0, + "showlegend": false, + "type": "scatter", + "x": [ + 0, + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 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"dtype": "f8" } }, @@ -58886,11 +71734,11 @@ "showlegend": false, "type": "scatter", "x": { - "bdata": "DgBxAHIALAGQAawBrQHQAdEB7AHtAfQB9QESAhMCHgIoAikCuwK8AuUC", + "bdata": "DgArAFcAcQCtAdAB0QHsAe0B9AH1ARICEwIeAigCKQK7ArwC5QI=", "dtype": "i2" }, "y": { - "bdata": "9ihcj8L1DkAK16NwPQoLwFK4HoXrUQJA16NwPQrX/z8pXI/C9SgAwArXo3A9CgHAzczMzMzMBEDhehSuR+EEwFyPwvUoXAlAXI/C9ShcCcCamZmZmZkHQAAAAAAAAATAhetRuB6FDUB7FK5H4XoCwHE9CtejcAFA9ihcj8L1AkDD9Shcj8IDwClcj8L1KBBAAAAAAAAAAsAK16NwPQoHQAAAAAAAAABA", + "bdata": "FK5H4XoUFEApXI/C9SgIQFyPwvUoXAfAFK5H4XoUEsCuR+F6FK4LQFyPwvUoXAvAPQrXo3A9EUAUrkfhehQQwD0K16NwPQ5AZmZmZmZmDMCkcD0K16MUQGZmZmZmZgjAMzMzMzMzCUAzMzMzMzMJQKRwPQrXowrAhetRuB6FFUCkcD0K16MKwGZmZmZmZhJArkfhehSuC0A=", "dtype": "f8" } } @@ -58904,7 +71752,7 @@ "size": 10 }, "showarrow": false, - "text": "UPL = 1.940 | CL = 0.000 | LPL = -1.940", + "text": "UPL = 2.760 | CL = 0.000 | LPL = -2.760", "x": 1.0, "xanchor": "right", "xref": "paper", @@ -59040,8 +71888,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 1.94, - "y1": 1.94 + "y0": 2.76, + "y1": 2.76 }, { "line": { @@ -59053,8 +71901,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": -1.94, - "y1": -1.94 + "y0": -2.76, + "y1": -2.76 }, { "line": { @@ -59078,8 +71926,8 @@ "type": "line", "x0": 100, "x1": 100, - "y0": -3.751, - "y1": 4.411 + "y0": -5.015, + "y1": 5.875 }, { "line": { @@ -59090,8 +71938,8 @@ "type": "line", "x0": 200, "x1": 200, - "y0": -3.751, - "y1": 4.411 + "y0": -5.015, + "y1": 5.875 }, { "line": { @@ -59102,8 +71950,8 @@ "type": "line", "x0": 300, "x1": 300, - "y0": -3.751, - "y1": 4.411 + "y0": -5.015, + "y1": 5.875 }, { "line": { @@ -59114,8 +71962,8 @@ "type": "line", "x0": 400, "x1": 400, - "y0": -3.751, - "y1": 4.411 + "y0": -5.015, + "y1": 5.875 }, { "line": { @@ -59126,8 +71974,8 @@ "type": "line", "x0": 500, "x1": 500, - "y0": -3.751, - "y1": 4.411 + "y0": -5.015, + "y1": 5.875 }, { "line": { @@ -59138,8 +71986,8 @@ "type": "line", "x0": 600, "x1": 600, - "y0": -3.751, - "y1": 4.411 + "y0": -5.015, + "y1": 5.875 }, { "line": { @@ -59150,8 +71998,8 @@ "type": "line", "x0": 700, "x1": 700, - "y0": -3.751, - "y1": 4.411 + "y0": -5.015, + "y1": 5.875 } ], "showlegend": false, @@ -60047,7 +72895,7 @@ "---\n", "## PM SDS 3: Full Validation Against Bishop's Reference\n", "\n", - "This section replicates Tom Bishop's VAS analysis of PM SDS 3 — an SDS 3 (Partial Replication) dataset with a mix of n=1 and n≥2 cells. We validate each chart against Bishop's reference output.\n", + "This section replicates Tom Bishop's VAS analysis of PM SDS 3 — an SDS 3 (Partial Replication) dataset with a mix of n=1 and n≥2 cells — against his VAS run of 3 October 2026 (for the 10-1-2026 manual). In that manual Xbar/S is VAS's default chart for SDS 3, so the original data and the interaction are charted as Xbar/S. We validate each chart against Bishop's reference output.\n", "\n", "Spec limits: **LSL = 232, USL = 242, Target = 237**" ] @@ -60057,10 +72905,10 @@ "execution_count": 26, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.543169Z", - "iopub.status.busy": "2026-08-31T22:38:03.543110Z", - "iopub.status.idle": "2026-08-31T22:38:03.564708Z", - "shell.execute_reply": "2026-08-31T22:38:03.564332Z" + "iopub.execute_input": "2026-10-05T00:32:57.664301Z", + "iopub.status.busy": "2026-10-05T00:32:57.664243Z", + "iopub.status.idle": "2026-10-05T00:32:57.685735Z", + "shell.execute_reply": "2026-10-05T00:32:57.685353Z" } }, "outputs": [ @@ -60068,16 +72916,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "Observed Design State: SDSResult(sds=3, min_cell_size=1, reason='partial_replication', n_empty_cells=0)" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "\n", + "Observed Design State: SDSResult(sds=3, min_cell_size=1, reason='partial_replication', n_empty_cells=0)\n", "Valid charts: ['Histogram', 'Xbar', 'S', 'X', 'mR']\n", - "Recommended: X\n", + "Recommended: Xbar\n", "\n", "Design Report (2 factors)\n", " Design-state lineage:\n", @@ -60091,9 +72932,10 @@ " FACTOR 2: observed=[1, 2]\n", "\n", " Structure: Complete structure\n", + " Series length: T=100. Sigma for X/mR rests on 99 moving ranges.\n", "\n", " Available analyses (ADS 3):\n", - " Primary: Histogram, Xbar, S, X *, mR\n", + " Primary: Histogram, Xbar *, S, X, mR\n", " R2: X\n", " R3: Xbar, S, X\n", " R4: Xbar, S\n", @@ -60122,12 +72964,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Analysis of Original Performance Measurement Behavior — PM Individuals Chart (Slides 1-2)\n", + "### Analysis of Original Performance Measurement Behavior — PM Average and Standard Deviation Charts (Slides 1-2)\n", "\n", "Bishop's reference values:\n", - "- **CL = 237.81**\n", - "- **LBL = 234.9**\n", - "- **UBL = 240.72**" + "- **Xbar CL = 237.83**\n", + "- **S CL = 0.80**\n", + "\n", + "Limits vary with subgroup size (some subgroups have one observation), so the slide prints the centre line only." ] }, { @@ -60135,10 +72978,10 @@ "execution_count": 27, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.565550Z", - "iopub.status.busy": "2026-08-31T22:38:03.565485Z", - 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", 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"anchor": "x8", - "autorange": false, - "domain": [ - 0.5285714285714286, - 0.6035714285714285 - ], - "gridcolor": "white", - "gridwidth": 1.0, - "linecolor": "#EBEBEB", - "linewidth": 1.0, - "range": [ - -0.41250000000000003, - 8.6625 - ], - "showgrid": true, - "showline": true - }, - "yaxis9": { - "anchor": "x9", - "autorange": false, - "domain": [ - 0.3964285714285714, - 0.4714285714285714 - ], - "gridcolor": "white", - "gridwidth": 1.0, - "linecolor": "#EBEBEB", - "linewidth": 1.0, - "range": [ - 229.151, - 243.429 - ], - "showgrid": true, - "showline": true, - "title": { - "text": "Individual Value" - } - } - } - } - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "study_sds3_val.execute(\n", - " chart='X',\n", - " by=[pb.cols.FACTOR_1, pb.cols.FACTOR_2],\n", - " companion=True\n", - ").plot(theme='ggplot').show()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Current Process Capability (Slide 19)\n", - "\n", - "Bishop's reference values:\n", - "- **Process Mean = 237.81**, **Process StdEv = 1.74**\n", - "- **PPL = 1.12**, **PP = 0.96**, **PPU = 0.8**\n", - "- **Pct below LSL = 0.53%**, **Pct above USL = 0.46%**" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "metadata": { - "execution": { - "iopub.execute_input": "2026-08-31T22:38:03.926398Z", - "iopub.status.busy": "2026-08-31T22:38:03.926318Z", - "iopub.status.idle": "2026-08-31T22:38:03.944844Z", - "shell.execute_reply": "2026-08-31T22:38:03.944461Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CapabilityResult:\n", - " Specs: LSL=232, USL=242, Target=237\n", - " N=3042, Ybar=237.81, S=1.74, sigma_hat=1.74\n", - "\n", - " Current Capability (overall sigma):\n", - " Pp=0.96 Ppk=0.8 (lower=1.12, upper=0.8)\n", - "\n", - " Potential Capability (R2 sigma):\n", - " Cp=2.34 Cpk=1.96 (lower=2.72, upper=1.96)\n", - "\n", - " Z-scores:\n", - " Z_lower=3.35, Z_upper=2.41\n", - "\n", - " Empirical (current):\n", - " Below LSL: 16 (0.53%) Above USL: 14 (0.46%) Total outside: 30 (0.99%)\n", - " Empirical (potential):\n", - " Below LSL: 0 (0.0%) Above USL: 0 (0.0%)\n", - "\n", - " Note: Stability not assessed; run study.execute() and review signals before interpreting indices.\n" - ] - }, - { - "data": { - "application/vnd.plotly.v1+json": { - "config": { - "plotlyServerURL": "https://plot.ly" - }, - "data": [ - { - "histnorm": "percent", - "hovertemplate": "Range: %{x}
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- "dtype": "f8" - } - }, - { - "line": { - "color": "#DC143C", - "dash": "solid", - "width": 2 - }, - "mode": "lines", - "name": "Spec Limits (LSL=232, USL=242)", - "type": "scatter", - "x": [ - null - ], - "y": [ - null - ] - }, - { - "line": { - "color": "#2E8B57", - "dash": "dashdot", - "width": 1.5 - }, - "mode": "lines", - "name": "Target (237)", - "type": "scatter", - "x": [ - null - ], - "y": [ - null - ] - }, - { - "line": { - "color": "#2E8B57", - "dash": "solid", - "width": 2 - }, - "mode": "lines", - "name": "Y-bar (237.81)", - "type": "scatter", - "x": [ - null - ], - "y": [ - null - ] - }, - { - "line": { - "color": "#2E8B57", - "dash": "dash", - "width": 1.5 - }, - "mode": "lines", - "name": "NPL (232.6, 243.02)", - "type": "scatter", - "x": [ - null - ], - "y": [ - null - ] - } - ], - "layout": { - "annotations": [ - { - "align": "left", - "bgcolor": "rgba(255, 255, 255, 0.9)", - "bordercolor": "#CCCCCC", - "borderwidth": 1, - "font": { - "color": "#333333", - "family": "monospace", - "size": 10 - }, - "showarrow": false, - "text": "n = 3042
Ȳ = 237.81
σ̂ = 1.74

PP Index = 0.96
PPL Index = 1.12
PPU Index = 0.80

Pct Below LSL = 0.53%
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", 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").plot(theme='ggplot').show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Current Process Capability (Slide 19)\n", + "\n", + "Bishop's reference values:\n", + "- **Process Mean = 237.81**, **Process StdEv = 1.74**\n", + "- **PPL = 1.12**, **PP = 0.96**, **PPU = 0.8**\n", + "- **Pct below LSL = 0.53%**, **Pct above USL = 0.46%**" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "execution": { + "iopub.execute_input": "2026-10-05T00:32:57.891331Z", + "iopub.status.busy": "2026-10-05T00:32:57.891247Z", + "iopub.status.idle": "2026-10-05T00:32:57.909582Z", + "shell.execute_reply": "2026-10-05T00:32:57.909267Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CapabilityResult:\n", + " Specs: LSL=232, USL=242, Target=237\n", + " N=3042, Ybar=237.81, S=1.74, sigma_hat=1.74\n", + "\n", + " Current Capability (overall sigma):\n", + " Pp=0.96 Ppk=0.8 (lower=1.12, upper=0.8)\n", + "\n", + " Potential Capability (R2 sigma):\n", + " centre=237.81, sigma_hat_r2=1.06\n", + " Cp=1.58 Cpk=1.32 (lower=1.83, upper=1.32)\n", + "\n", + " Z-scores:\n", + " Z_lower=3.35, Z_upper=2.41\n", + "\n", + " Empirical (current):\n", + " Below LSL: 16 (0.53%) Above USL: 14 (0.46%) Total outside: 30 (0.99%)\n", + " Empirical (potential):\n", + " Below LSL: 0 (0.0%) Above USL: 4 (0.13%)\n", + "\n", + " Note: Stability not assessed; run study.execute() and review signals before interpreting indices.\n" + ] + }, + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "histnorm": "percent", + "hovertemplate": "Range: %{x}
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"monospace", + "size": 10 + }, + "showarrow": false, + "text": "n = 3042
Ȳ = 237.81
σ̂ = 1.74

PP Index = 0.96
PPL Index = 1.12
PPU Index = 0.80

Pct Below LSL = 0.53%
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] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Production Time Main Effects — PT RSG Sample Averages (Slide 22)\n", + "\n", + "Bishop's reference: **CL = 237.83**\n", + "\n", + "Period effects are charted from R4, which carries the production-time effect (an average of the re-centred R3 by period is flat, since the interaction sums to zero over conditions)." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "execution": { + "iopub.execute_input": "2026-10-05T00:32:57.934780Z", + "iopub.status.busy": "2026-10-05T00:32:57.934726Z", + "iopub.status.idle": "2026-10-05T00:32:57.947061Z", + "shell.execute_reply": "2026-10-05T00:32:57.946692Z" + } + }, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "hovertemplate": "%{x}
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", 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"yref": "y" - }, { "bgcolor": "rgba(255,255,255,0.7)", "font": { @@ -181239,312 +132452,13 @@ "size": 10 }, "showarrow": false, - "text": "UPL = 3.620 | CL = 1.110 | LPL = 0.000", + "text": "CL = 1.040", "x": 1.0, "xanchor": "right", "xref": "x2 domain", "y": 1.0, "yanchor": "top", "yref": "y2 domain" - }, - { - "font": { - "color": "#888888", - "size": 8 - }, - "showarrow": false, - "text": "1_2", - "x": 375, - "xref": "x2", - "y": 11.6655, - "yanchor": "bottom", - "yref": "y2" - }, - { - "font": { - "color": "#888888", - "size": 8 - }, - "showarrow": false, - "text": "2_1", - "x": 755, - "xref": "x2", - "y": 11.6655, - "yanchor": "bottom", - "yref": "y2" - }, - { - "font": { - "color": "#888888", - "size": 8 - }, - "showarrow": false, - "text": "2_2", - "x": 1144, - "xref": "x2", - "y": 11.6655, - "yanchor": "bottom", - "yref": "y2" - }, - { - "font": { - "color": "#888888", - "size": 8 - }, - "showarrow": false, - "text": "3_1", - "x": 1524, - "xref": "x2", - "y": 11.6655, - "yanchor": "bottom", - "yref": "y2" - }, - { - "font": { - "color": "#888888", - "size": 8 - }, - "showarrow": false, - "text": "3_2", - "x": 1900, - "xref": "x2", - "y": 11.6655, - "yanchor": "bottom", - "yref": "y2" - }, - { - "font": { - "color": "#888888", - "size": 8 - }, - "showarrow": false, - "text": "4_1", - "x": 2287, - "xref": "x2", - "y": 11.6655, - "yanchor": "bottom", - "yref": "y2" - }, - { - "font": { - "color": "#888888", - "size": 8 - }, - "showarrow": false, - "text": "4_2", - "x": 2664, - "xref": "x2", - "y": 11.6655, - "yanchor": "bottom", - "yref": "y2" - }, - { - "font": { - "size": 10 - }, - "showarrow": false, - "text": "1_1", - "x": 188, - "xanchor": "center", - "xref": "x", - "y": -0.3, - "yanchor": "top", - "yref": "y domain" - }, - { - "font": { - "size": 10 - }, - "showarrow": false, - "text": "1_2", - "x": 566, - "xanchor": "center", - "xref": "x", - "y": -0.3, - "yanchor": "top", - "yref": "y domain" - }, - { - "font": { - "size": 10 - }, - "showarrow": false, - "text": "2_1", - "x": 950, - "xanchor": "center", - "xref": "x", - "y": -0.3, - "yanchor": "top", - "yref": "y domain" - }, - { - "font": { - "size": 10 - }, - "showarrow": false, - "text": "2_2", - "x": 1335, - "xanchor": "center", - "xref": "x", - "y": -0.3, - "yanchor": "top", - "yref": "y domain" - }, - { - "font": { - "size": 10 - }, - "showarrow": false, - "text": "3_1", - "x": 1713, - "xanchor": "center", - "xref": "x", - "y": -0.3, - "yanchor": "top", - "yref": "y domain" - }, - { - "font": { - "size": 10 - }, - "showarrow": false, - "text": "3_2", - "x": 2094, - "xanchor": "center", - "xref": "x", - "y": -0.3, - "yanchor": "top", - "yref": "y domain" - }, - { - "font": { - "size": 10 - }, - "showarrow": false, - "text": "4_1", - "x": 2476, - "xanchor": "center", - "xref": "x", - "y": -0.3, - "yanchor": "top", - "yref": "y domain" - }, - { - "font": { - "size": 10 - }, - "showarrow": false, - "text": "4_2", - "x": 2853, - "xanchor": "center", - "xref": "x", - "y": 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10 - }, - "showarrow": false, - "text": "3_2", - "x": 2093, - "xanchor": "center", - "xref": "x2", - "y": -0.3, - "yanchor": "top", - "yref": "y2 domain" - }, - { - "font": { - "size": 10 - }, - "showarrow": false, - "text": "4_1", - "x": 2475, - "xanchor": "center", - "xref": "x2", - "y": -0.3, - "yanchor": "top", - "yref": "y2 domain" - }, - { - "font": { - "size": 10 - }, - "showarrow": false, - "text": "4_2", - "x": 2852, - "xanchor": "center", - "xref": "x2", - "y": -0.3, - "yanchor": "top", - "yref": "y2 domain" } ], "font": { @@ -181555,39 +132469,11 @@ "height": 450, "hovermode": "closest", "margin": { - "b": 160 + "b": 100 }, "paper_bgcolor": "white", "plot_bgcolor": "#EBEBEB", "shapes": [ - { - "line": { - "color": "#E31A1C", - "dash": "dash", - "width": 1.2 - }, - "type": "line", - "x0": 0, - "x1": 1, - "xref": "x domain", - "y0": 240.76, - "y1": 240.76, - "yref": "y" - }, - { - "line": { - "color": "#E31A1C", - "dash": "dash", - "width": 1.2 - }, - "type": "line", - "x0": 0, - "x1": 1, - "xref": "x domain", - "y0": 234.86, - "y1": 234.86, - "yref": "y" - }, { "line": { "color": "#33A02C", @@ -181598,136 +132484,10 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 237.81, - "y1": 237.81, - "yref": "y" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 376, - "x1": 376, - "xref": "x", - "y0": 226.72650000000002, - "y1": 245.5035, - "yref": "y" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 756, - "x1": 756, - "xref": "x", - "y0": 226.72650000000002, - "y1": 245.5035, - "yref": "y" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 1145, - "x1": 1145, - "xref": "x", - "y0": 226.72650000000002, - "y1": 245.5035, - "yref": "y" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 1525, - "x1": 1525, - "xref": "x", - "y0": 226.72650000000002, - "y1": 245.5035, - "yref": "y" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 1901, - "x1": 1901, - "xref": "x", - "y0": 226.72650000000002, - "y1": 245.5035, - "yref": "y" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 2288, - "x1": 2288, - "xref": "x", - "y0": 226.72650000000002, - "y1": 245.5035, - "yref": "y" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 2665, - "x1": 2665, - "xref": "x", - "y0": 226.72650000000002, - "y1": 245.5035, + "y0": 237.83, + "y1": 237.83, "yref": "y" }, - { - "line": { - "color": "#E31A1C", - "dash": "dash", - "width": 1.2 - }, - "type": "line", - "x0": 0, - "x1": 1, - "xref": "x2 domain", - "y0": 3.62, - "y1": 3.62, - "yref": "y2" - }, - { - "line": { - "color": "#E31A1C", - "dash": "dash", - "width": 1.2 - }, - "type": "line", - "x0": 0, - "x1": 1, - "xref": "x2 domain", - "y0": 0.0, - "y1": 0.0, - "yref": "y2" - }, { "line": { "color": "#33A02C", @@ -181738,106 +132498,8 @@ "x0": 0, "x1": 1, "xref": "x2 domain", - "y0": 1.11, - "y1": 1.11, - "yref": "y2" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 375, - "x1": 375, - "xref": "x2", - "y0": -0.5555, - "y1": 11.6655, - "yref": "y2" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 755, - "x1": 755, - "xref": "x2", - "y0": -0.5555, - "y1": 11.6655, - "yref": "y2" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 1144, - "x1": 1144, - "xref": "x2", - "y0": -0.5555, - "y1": 11.6655, - "yref": "y2" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 1524, - "x1": 1524, - "xref": "x2", - "y0": -0.5555, - "y1": 11.6655, - "yref": "y2" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 1900, - "x1": 1900, - "xref": "x2", - "y0": -0.5555, - "y1": 11.6655, - "yref": "y2" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 2287, - "x1": 2287, - "xref": "x2", - "y0": -0.5555, - "y1": 11.6655, - "yref": "y2" - }, - { - "line": { - "color": "#888888", - "dash": "dot", - "width": 1.0 - }, - "type": "line", - "x0": 2664, - "x1": 2664, - "xref": "x2", - "y0": -0.5555, - "y1": 11.6655, + "y0": 1.04, + "y1": 1.04, "yref": "y2" } ], @@ -182639,79 +133301,10 @@ "linewidth": 1.0, "showgrid": true, "showline": true, - "tickangle": 0, - "ticktext": [ - "1", - "34", - "68", - "100", - "1", - "37", - "67", - "100", - "1", - "34", - "66", - "100", - "1", - "35", - "67", - "100", - "1", - "34", - "65", - "100", - "1", - "32", - "68", - "100", - "1", - "34", - "67", - "100", - "1", - "32", - "66", - "100" - ], - "tickvals": [ - 0, - 125, - 250, - 375, - 376, - 502, - 629, - 755, - 756, - 885, - 1015, - 1144, - 1145, - 1271, - 1398, - 1524, - 1525, - 1650, - 1775, - 1900, - 1901, - 2030, - 2158, - 2287, - 2288, - 2413, - 2539, - 2664, - 2665, - 2790, - 2916, - 3041 - ], "title": { - "standoff": 5, - "text": "Production Time" - } + "text": "Subgroup" + }, + "type": "category" }, "xaxis2": { "anchor": "y2", @@ -182726,79 +133319,10 @@ "linewidth": 1.0, "showgrid": true, "showline": true, - "tickangle": 0, - "ticktext": [ - "1", - "35", - "69", - "1", - "1", - "37", - "67", - "1", - "1", - "34", - "67", - "1", - "1", - "35", - "67", - "1", - "1", - "34", - "66", - "1", - "1", - "33", - "68", - "1", - "1", - "34", - "67", - "1", - "1", - "33", - "66", - "100" - ], - "tickvals": [ - 0, - 125, - 249, - 374, - 375, - 501, - 628, - 754, - 755, - 884, - 1014, - 1143, - 1144, - 1270, - 1397, - 1523, - 1524, - 1649, - 1774, - 1899, - 1900, - 2029, - 2157, - 2286, - 2287, - 2412, - 2538, - 2663, - 2664, - 2789, - 2914, - 3039 - ], "title": { - "standoff": 5, - "text": "Production Time" - } + "text": "Subgroup" + }, + "type": "category" }, "yaxis": { "anchor": "x", @@ -182812,13 +133336,13 @@ "linecolor": "#EBEBEB", "linewidth": 1.0, "range": [ - 226.72650000000002, - 245.5035 + 229.2695, + 245.34050000000002 ], "showgrid": true, "showline": true, "title": { - "text": "Individual Value" + "text": "Sample Average" }, "zeroline": false }, @@ -182834,8 +133358,8 @@ "linecolor": "#EBEBEB", "linewidth": 1.0, "range": [ - -0.5555, - 11.6655 + -0.1325, + 3.6625 ], "showgrid": true, "showline": true @@ -182849,8 +133373,8 @@ ], "source": [ "study_sds3_val.execute(\n", - " chart='X',\n", - " by=[],\n", + " chart='Xbar',\n", + " by=[pb.cols.FACTOR_1, pb.cols.FACTOR_2, pb.cols.PRODUCTION_TIME],\n", " value='R3',\n", " recentered=True,\n", " companion=True\n", @@ -182864,11 +133388,11 @@ "### Taguchi Loss Function Analysis (Slide 30)\n", "\n", "Bishop's reference (5-component Pareto):\n", - "- **PDCxPT INT = 42.4%**\n", - "- **Unexplained = 25.0%**\n", - "- **Mean = 16.4%**\n", - "- **PDC = 13.7%**\n", - "- **PT = 2.5%**" + "- **PDCxPT INT = 33.1%**\n", + "- **Unexplained = 30.3%**\n", + "- **Mean = 18.5%**\n", + "- **PDC = 15.4%**\n", + "- **PT = 2.8%**" ] }, { @@ -182876,10 +133400,10 @@ "execution_count": 39, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:04.176948Z", - "iopub.status.busy": "2026-08-31T22:38:04.176873Z", - "iopub.status.idle": "2026-08-31T22:38:04.185547Z", - "shell.execute_reply": "2026-08-31T22:38:04.185193Z" + "iopub.execute_input": "2026-10-05T00:32:58.049625Z", + "iopub.status.busy": "2026-10-05T00:32:58.049553Z", + "iopub.status.idle": "2026-10-05T00:32:58.056586Z", + "shell.execute_reply": "2026-10-05T00:32:58.056225Z" } }, "outputs": [ @@ -182891,19 +133415,19 @@ " Target=237, Ybar=237.83, N=3042\n", " K=8 PDC levels, T=100 periods, SDS=3\n", "\n", - " Expected Loss (EL) = 4.15\n", + " Expected Loss (EL) = 3.69\n", "\n", " Loss Decomposition:\n", - " PDCxPT INT: 42.4%\n", - " UNEXPLAINED: 25.0%\n", - " MEAN: 16.44%\n", - " PDC: 13.67%\n", - " PT: 2.49%\n", + " PDCxPT INT: 33.07%\n", + " UNEXPLAINED: 30.3%\n", + " MEAN: 18.47%\n", + " PDC: 15.36%\n", + " PT: 2.8%\n", "\n", " PDC Decomposition:\n", - " FACTOR 1: 8.27%\n", - " FACTOR 2: 3.8%\n", - " PDF INT: 1.6%\n" + " FACTOR 1: 9.27%\n", + " FACTOR 2: 4.27%\n", + " PDF INT: 1.81%\n" ] }, { @@ -182916,11 +133440,11 @@ { "orientation": "v", "text": [ - "42.4%", - "25.0%", - "16.44%", - "13.67%", - "2.49%" + "33.07%", + "30.3%", + "18.47%", + "15.36%", + "2.8%" ], "textposition": "outside", "type": "bar", @@ -182932,11 +133456,11 @@ "PT" ], "y": [ - 42.40049016308565, - 25.00349119781337, - 16.440083485379123, - 13.666837922802099, - 2.48909723091977 + 33.0734180792466, + 30.29960445445321, + 18.47313237944824, + 15.356935771093774, + 2.7969093157581733 ] } ], @@ -183756,7 +134280,7 @@ "linewidth": 1.0, "range": [ 0, - 46.64053917939422 + 36.380759887171266 ], "showgrid": true, "showline": true, @@ -183785,8 +134309,8 @@ "### Taguchi Loss Function Analysis — Structured (Slide 31)\n", "\n", "Bishop's reference (per-factor decomposition):\n", - "- **PDCxPT INT = 42.4%**, **Unexplained = 25.0%**, **Mean = 16.4%**\n", - "- **F1 = 8.3%**, **F2 = 3.8%**, **PT = 2.5%**, **PDF INT = 1.6%**" + "- **PDCxPT INT = 33.1%**, **Unexplained = 30.3%**, **Mean = 18.5%**\n", + "- **F1 = 9.3%**, **F2 = 4.3%**, **PT = 2.8%**, **PDF INT = 1.8%**" ] }, { @@ -183794,10 +134318,10 @@ "execution_count": 40, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:04.186359Z", - "iopub.status.busy": "2026-08-31T22:38:04.186301Z", - "iopub.status.idle": "2026-08-31T22:38:04.192697Z", - "shell.execute_reply": "2026-08-31T22:38:04.192350Z" + "iopub.execute_input": "2026-10-05T00:32:58.057560Z", + "iopub.status.busy": "2026-10-05T00:32:58.057499Z", + "iopub.status.idle": "2026-10-05T00:32:58.063248Z", + "shell.execute_reply": "2026-10-05T00:32:58.062934Z" } }, "outputs": [ @@ -183811,13 +134335,13 @@ { "orientation": "v", "text": [ - "42.4%", - "25.0%", - "16.44%", - "8.27%", - "3.8%", - "2.49%", - "1.6%" + "33.07%", + "30.3%", + "18.47%", + "9.27%", + "4.27%", + "2.8%", + "1.81%" ], "textposition": "outside", "type": "bar", @@ -183831,13 +134355,13 @@ "PDF INT" ], "y": [ - 42.40049016308565, - 25.00349119781337, - 16.440083485379123, - 8.268767613240371, - 3.7985922194477504, - 2.48909723091977, - 1.5994780901139798 + 33.0734180792466, + 30.29960445445321, + 18.47313237944824, + 9.272855454405057, + 4.269823417324208, + 2.7969093157581733, + 1.8142568993645118 ] } ], @@ -184657,7 +135181,7 @@ "linewidth": 1.0, "range": [ 0, - 46.64053917939422 + 36.380759887171266 ], "showgrid": true, "showline": true, @@ -184684,9 +135208,9 @@ "### Potential Process Capability (Slide 32)\n", "\n", "Bishop's reference values:\n", - "- **Process Mean = 237.830**, **Process StdEv = 0.710**\n", - "- **PPL = 2.72**, **PP = 2.34**, **PPU = 1.95**\n", - "- **Pct below LSL = 0%**, **Pct above USL = 0%**" + "- **Process Mean = 237.83**\n", + "- **PPL = 1.83**, **PP = 1.57**, **PPU = 1.31**\n", + "- **Pct below LSL = 0%**, **Pct above USL = 0.13%**" ] }, { @@ -184694,10 +135218,10 @@ "execution_count": 41, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:04.193541Z", - "iopub.status.busy": "2026-08-31T22:38:04.193490Z", - "iopub.status.idle": "2026-08-31T22:38:04.208994Z", - "shell.execute_reply": "2026-08-31T22:38:04.208624Z" + "iopub.execute_input": "2026-10-05T00:32:58.064166Z", + "iopub.status.busy": "2026-10-05T00:32:58.064114Z", + "iopub.status.idle": "2026-10-05T00:32:58.078010Z", + "shell.execute_reply": "2026-10-05T00:32:58.077705Z" } }, "outputs": [ @@ -184719,7 +135243,7 @@ "showlegend": true, "type": "histogram", "x": { - "bdata": 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", 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"dtype": "f8" } }, @@ -184785,7 +135309,7 @@ "size": 10 }, "showarrow": false, - "text": "n = 3042
Ȳ = 237.81
σ̂(R2) = 0.71

CP Index = 2.34
CPL Index = 2.72
CPU Index = 1.96

Pct Below LSL = 0.00%
Pct Above USL = 0.00%", + "text": "n = 3042
Ȳ = 237.81
σ̂(R2) = 1.06

CP Index = 1.58
CPL Index = 1.83
CPU Index = 1.32

Pct Below LSL = 0.00%
Pct Above USL = 0.13%", "x": 0.98, "xanchor": "right", "xref": "paper", @@ -184894,8 +135418,8 @@ "width": 2 }, "type": "line", - "x0": 237.81017881800352, - "x1": 237.81017881800352, + "x0": 237.8108518134907, + "x1": 237.8108518134907, "xref": "x", "y0": 0, "y1": 1, @@ -185727,7 +136251,7 @@ "source": [ "### Test of Maximum Information — R2 Residuals XmR (Slide 33)\n", "\n", - "Bishop's reference: **CL = 0**, **LBL = -2.47**, **UBL = 2.47**" + "Bishop's reference: **CL = 0**, **LBL = -3.70**, **UBL = 3.70**" ] }, { @@ -185735,10 +136259,10 @@ "execution_count": 42, "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:38:04.209818Z", - "iopub.status.busy": "2026-08-31T22:38:04.209759Z", - "iopub.status.idle": "2026-08-31T22:38:04.245649Z", - "shell.execute_reply": "2026-08-31T22:38:04.245357Z" + "iopub.execute_input": "2026-10-05T00:32:58.079055Z", + "iopub.status.busy": "2026-10-05T00:32:58.079002Z", + "iopub.status.idle": "2026-10-05T00:32:58.119237Z", + 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", 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+5z8lauZwl82zPx8Zb4/vdvo/YVPgbI3a+78m/W72nP2zP8v5/zYJVuO/oUVaPWVwuL8WE4AhU7SkP664Tm1uMe4/rPqnpgUM579H/bVOV/rXv/FuuGDAD/I/dsJsArsjxz9iu8X6+RXov1PnKTu426G/UxWCEAtw5T8tCykJUOoDwAFc3BTSnQBAdV/xkTa6tz/uQHh3+Sn2P0AF/9En6wHAiiRB/luE6D/S0jHLiXyzvzyIrIi9usg/c892pacbgT8IVODRR1nVv1i6Ad9TUnq/Y/3+Fvek07/6Kjk+FQfjP/qn7Yj7ldu/uFCyzTy67z8IyXuGlAL4v+U6Obyqju8/KFB1UrzA57/9im2wfF29P+eQ1CYVANQ/NbUWGG/ulT/D30r04Xy0v/Q+3/aHLJ4/MQW5kVSw1j/kjjxnpjfzv26sSz8oDvA/RbacClV7uD/X5w66Dm7uv+jl0mUv+vA/jmCy6J0Xzb/8xesu1EmGv8lFCPrG1+C/9AjHxO+32D91BRopBzu8P5Vuxwx5UPA/r5gnTtCU4L8uBoZ9bjf9P2lqGpFVjvK/1Xd8Mqcy9r/LIVkanEDdP6gTwjdEX6u/BnXKpOew6D+U8g1Fya3mv28bBoeoWOC/yTIrPUpSsb8FG9MshKnwP6/aK6b34fK/KCjdSfX29D/y5hdsNhTkvwqzAcNckN+/JsHqbYVa8z9xvurydIvkv36yGx4nP+6/sY6NOnA86T/swZsuCmvTv07GvXB3ceU/8s67kzuX67+1TFI1XEHGP1rjH/m6OMY/TiewFql5vL93QiE1V/Dzv5Sdx/BOi7E/MGArxGN1A0CpG9CctfbIP3RWAJvYr70/PNVm2szV978Rqr0ftPXRv/i7OIudUnu/GTmPmRbM27+VrGNwYCzzP3hj0yjKeuU/JgAv9uOg6b+w8F3XcAWwv9WahfPSjc6/LEu++S1/6j8VtQiF4LX0P2j5DSpm8wLAmi7cv0lP4T95UqVVTq7yP7qpo/2g9dG/I6UP6Yrg4z/iYIx5Wc3hv0j0g7BsmrQ/HvY9ZbkNCcBPUp4TRm8HQL1k2aUT/fq/M9DoTWbW6T/+sTrvlef1P+LvHnMV9gDAuaeTFtkkxj/gciAmgNfYP4naaoh1due/PpwJEHwAAEDmLWXLGTm2v2nbinA6Jtu/bjLanFa/4r8TjKLrl5rFPxDKWYR1RsY/FmxpuSWH1z8BNSboYs3wvzehnwTMs8Y/AOD3ONRz178F5Jzcz+z5v5BA9s1wbwNAsSD0GuYW7r9aJmQVMPb7P+zDLvUsyMW/S0puERsLiL//HL+xj1jJP1vxoLUqIfO/QyNPoolQ5D/c+AbJMnLxv+k0Jzi/gvA/s43pA4lSBcDWiN/y4SQCQCe0ZJcc++w/KPklWVq58b+yc1ZjLr33v1B0RYewAgJAHL1GRSjx4r/55szNsuHmP1ulytcoH9e/4KHu2w4m7D8YzrocFOryvyhrKODIfK0/C5so5TZ54D/BEkITk2DQv+DcZfRlPt8/RQe8WGm28b+wFrYwPUnrPwzRIB4Tc9W/XD/7009q2L8Q0itNDZvrP+RZFfzLe9y/G1O+nvARw7/C26Nkw/fUPz2nxX5Ri7y/h9F6I0Vh4b8wNtGhlBHEv3hA9HQxxfs/Gj1OoQkt9b9A5CRoQ3Hbv78yiH7oFuO/u4pZBAd/8b9l1jIHqt/0P44Uf1srS7G/d88C9BPH7z/yyk352BLsvyIxwYCgsdU/MxlY/BEHyT8DBOtLejPUv0/lWBk/ktc/PSMdYpWM3D/j3KWm90bxvwHcN/stnc+/kqRNFmS65L+21A5FqLnoPwJePDLRC+m/nHU3ViEDAUCk74VeE3T1v3NgPOoW8tK/h6voDVdy8z9j3538DyvDv7xeYa+bCfu/GPxiGi2vob8YEa4RSQ7jPzocUBRd27Q/lV4iyAKA8z8Eys6Juy3av6e3qptUZbi/vaqBZS/C1r9U29uMSTXgP6VbUGB1FNM/bvjXeGwV7b+W5e/ZrwbYvwhsRGrnn2c/GC/2X1IJzz+2lKiujlvwv4qjCQwsnu8/Ii4eNl2y4z8/MEDvK1Xkv//60nldMeA/eYdOGPcj57+bSk4j8qL1PxM6+I4+CQHAlqVItd5b2T9+Voz2ZHTev/JqADxIk/U/nI+HrxNb9b/I/vNf8a+1P4CPrjWDSr8/oqiX+8VE8j/U9aRz9Crnv1vkedDn/vc/5c4wBj8I57931XY5PzTrPyLt2tMOMNo/7uVrCatw0b/LMARk39/+v1O3HJXXG9w/pzUoyo20t78hznHMoEehv7e1KYN+osw/OGG1mEiB1z+yrLu0a8zCv2DU+yEZLau/wy3PfytJ47/HNt0geEqmv1wSnf0Pysu/A3Xs3ZCk/z/G2xk/jPvYP4H5BCuD6Xg/zpImDRsi5L8C8iDfc2Lpv3bMLyMva+Y/Pe0Ji7F03D/DVI3vhmnnvxejtacbN9W/NwvOMUZd4z8brtUDhnrYvwpxV3aV5uU/ClwFCVLLxr9zQbRCKYTtP90090YUnvu/ysGSXcDK8D9L2i1R5Dajvy3upfZRLfe/kObf7hjo9D+rfwfQlxjhv+giCUred86/b7+W0cJn7b8W1GDWsk30P+dDsRlIQvA/5vxcEA0Bzb/pXUvV+7fTv8Ie0nr8Wtm/zPjabhnt6L9YQlt4vwP1Pw0eNVT9vvS/+CT/AIuJ8j9FGUyhLTPmvy3lzqFcP/4/vjeKL3bK1b8I+cevRBT5v2lLYyMn+vM/TU76ylLA7j81SyMu0fzzvzdrLlu0vd8/M94On5+Is79NxBUgAazrv6tK6zovbtK/KWNJcCu38j/eDBDw8Cn1vx2KaPYzSeY/u9nVMrSb4L+wmOZWzsLmvwbGnoqVqvo/7qcMscUDy78A0xkMUNXAv8LFwxFejfE/KVgYNk9LBMD7UqAlRMUBQK7+wKKtG/S/sCuHpeojxD/uP6/zKcrjvxuPt21wE8g/A6pdd/bylD/8rqTKgjvIP5QBAEIfFoy/T9MrahYr4L+RqDoNuYnsP3TNPSY+4+W/DuLA5kbiuD+IQC5SEvnyv+qHRzXT0PE/h6lR9t6z5r/eo0ATBCTnPz/HXILWSuG/lS8iZSjj4T/ZoPv9FRb2PxK8u4aihfu/FHS1lz6O5z/rMy2adafiv/az7EIa3ec//RWRxkvjBsA4LfBToSP9PwfCX+Qtl+K/K9xu/SQq5T9O7OkeW/fyv69mV0fgeew/BH7+QkxJyD+BjlCEgsPsvxXVSpGYffo/mdYlmXr5oT/9pPWgU7OmPxY285LhLOU/51A+jEHHuz8+Wy9fpSf6v2mLo6O4X+A/PoxIx6IEAMBhvBeCkiP7P5GOcN/Ec9C/QEeotUZwvT95gBagCSTDP+bsqoYRfvA/994mNaZV97/inNv9yWrwP5K4FUrLtOS/Hmf16A0r4z/xBEOIjCXsP5YKahlSSvm/DXOvapxM0D/35JaMCvPxP76kPg8N/f+/GoYV/OdMAUBObxTW/O36vytigsPg6OU/L6YsNEnPsj+6wDIuM/vrP59PWP4UuO6/i8DoaTiV6z+TbNpIlHDlv22wRkfAntS/NhZbxzKzc7/XuiC74GDYvzo4zeo3Z+Y/Vpbba7JYtz+V5tqiP47gvyfXqI5E7cK/cpmGCeiD4b/gQjRYMOfoP8Z2vlXVy9a/8MHN+zQevD+aC9Wjd3Xyv1RWzUOMz/I/eLlaHGby+7/qRHydpcTQP8I9MNlgJ9O/jTM57dCo/j+ld1/dr9TuP3XWw3yG1fa/Yt/qwYVr8L+EpXOXcOH7Pw8MNGw0Aeg/dK9DIaas978IuKxIztf0vw+J/jvXcABAdSgjfZTiz7+7yk1Mx73TP5djRc+1MuO/4+i+0yk/4D90ie+CZ/jIP8STUiPOdOS/hBJ8B4Kf6L/vif9adN3iP1z2WfLckNk/i99dImy28z+le2N4M6HTv4yYE9mMNu+/WadIHGFC4r+eL74f12PHv+T8OkLIdfI/3ahQJtr2vz9kEqr4Ke6Gv4XquEeQCfQ/lR5bXiO66L+2KW5FL4Oov2N09qvfVti/ZL7P+Gu43j+2+/X3OP7Hv/pRiHTIrn4/I5Z6atNo0b+7DnDWj8SWv4g6P40gEOO/5KeFxWMO4L9a+JoCSabkPzjS0wN9aMq/oMdOmh+m8T/VYjIqFlf3v77NzOdYxsq/YMi+RnDo+j+fJ6SpjOfwvwxg2v08rL2/H8HPI3AP0T+f3KtrcULcPyC5f3DxCPK/MVHX1ldm+D/S7XwL6Ynhv1YTvD+YVta/GgYjqV+G0D/5y/SaR7Xvv9K7x/XqE/M/UzzdXZRsz79MdgxRw3zjv2QCGHhSE9e/ys/uiWsv/j96m+oChyLvv8F0CDbmkJA/RvGPblxi1z93zPRmj0vtv7DHUeU4RMs/NiUvlJUT8L8YNCQiZ3H3P2JAgvPDgs2/PXAtSTmn6b85UWMA6OwGQOplg0+Vdvu/dtyvgMD+9b++gm3xm93hPysxZDMtVb6/lJSrk4aE9b84pGDlMpkAQNyWSyWXoOa/ShD9qy+B5D804cd25Wb5v4nCNPxeoes/Sn65p8R3+j9haK8RjuPkv9uGlcbfEt0/2fQR8Chc+r8pSpNAaBToP48H1vrXwuI/T+3OIE25xL8/9VNOeyrhv2YSQg4Kh66/2sAdu/VY9b8MI9c9wSnqP9RZ0RHDeu8/J2RJYDs/07+Rs4VfSmrOPxg3zsqbStG/GIyE11n86D94l9Gr1KWRv0EtW28w2vq/8dvvOUDk/T9szg2ya7HkP5P7I4QLUPq/xv7ChKIP1D9b1teIlsXrv8lBFIOiiuA/DL0bbnkF8D+I31jZBg4HwG4zcvv+ifg/QJJrlbMo4r9ccPvGfpHaP5gFZ2Yy0vM/0F29gGP/AMBtMy0hy078P4BoXsY82+e/jI4LLGl4wD/oqqiRlRHfv562d7y2pvQ/zFSFSpPs2D/h7S4LtL7fv8WIqi0Cwu+/RBSKzq3K+T8YPa+XT3ngv+MT4hP5xOa/tghGCNx+AEALeIEwNRYAwFxR9fgWcJK/q38bro1NAkABrPJYfcD5v8DmPuV9LQDA85G3FmR6AECRqdvaFuG1Pzc9TWuVWwTA2nYzGSYVDEDYiYmsX52Wv/GYk1F5if2/i9nCdHLpyr+EMj7XCqLKv/Z3dkHxWeI/ZYlUt0JXwz/yrhX4LzeVv5rBuPcDMP4/dxTqohPd9b+7dNf4qM3LP6s6GYUUcnm/swgp0I731D8qoB00PJXxv3wdDy6Tt7G/TlhQlub2oj9aTCsFSEf0P4GbiNnm0/y/f2Bc5bL23T8yLLg+C/PhPwgrVQNcgYG/GA4lOkLM57+RzCffpZPsP0c5Vgr/tN2/bE2Ef8LD2T+d08iEuWGAv2aKVBK6j+Q/nplgE8HJ6b8yI9enOIPBP122CEmQPOu/1FJZYqdbsj/qad1l1HSNv+hxttocy84/IXHca6n1+L+Pf+B2YrblP1h1TlEk0/w//w8D3TdV2L+EQwlHKZ77P6dOtfz2nQbAr10o6/DJ4b/J3wuMMhEDQDV5RpxikfK/JGSbfJoc1r/IXbcNhbHhP6iN2ekwXeC/kLZfQrFC5L9KHH0TchP6P3qZiNishO2/9iax4xwe8D+rZuhY8CvnvxnTqnpnZti/InDVOWpayj9MhI2DWmnmP2VPJV8ED+e/dmCReBqg1z8nlx6K7FrKP1N3BcqlyeS/sAHfDG844r+pP1vbD43xP5DJcd87LuI/3/wKWpRt5D+ujG6w6D74v8rD11PI5gJA90TSvmq35b8RbCoqRaXZP//b8ufjvOy/m3hWTaE3tT/kPDwUvq7Qv3wXa6V4lOg/8K3bDRZa57+C/RqZeUQAQNE59GbJlQXA32NlNatIxz8klYXTM2j3v5V8iIzb0ANAGHRVnZH76T876d24Nynwv3xDPy/QktA/hlhFXXMFpb9tSuUMDruRvwRi3M/e65w/IAS2EKcQ3L87MiE/K0TVP+SJFzb+wv6/GlsYcBEd/T+8Fxpeyf6qP5fa+eO/6uU/5Rc9+Xoi7L8ns1s0AH17PzieYparPbg/8wOZpt/J2r8wlif/WMHjP2WHXelpB9i/Vf5g+EEk8D84EZuOh1Hhv1iIYx18Qok/YOwQQXV9u7+fQmo07bzOv+EPWIK8U88/LgSc5od48785UdeQSrDxP2torQ3Lsti/VhQLY7z54T+N8lAOlPjQP7LyTvOjp/e/J1dPqyON9T/45MQrQWXcvwl26w2ZaLO/CWVN5iac4b9RgGhB01PpP8rMhwm83ea/wrr1FKWF8j8/c7OtAMbbP9OhYAxSrd6/0yY8dK150r9NXZW+wPj5P2Oz5W559Oa/XfZ77VwK6L/C/oghfhOsvzsgZnr3jOe/5kw2UARXAUC0KYNAPunzvz8x5+0mIOS/fhR0k94H5T8+CP+j/eq8P7ZD/VhLFu8/RzWQXiJm8L9evzMq7MX0v863V2MaqcY/qppxgYxR+T+d/F/N8HkDwHQ9pP+HqpG/JwAetLDE279Ny1eL4dLvv8H8sbVYVv0/eh1YpP9y5D9LOHrgzVOrP+IT+eH3z++/sd9AVfG8tj+Q1yImgYfnP0I9JM8UZsW/IY0+j9Mi6j/cxytK6ArVv8BLn7RuCOy/t/Tf4i273j85PUs5E73Wv5tqxxKqVNI/jqDo3dQ+zz+EQkddpL+5P0uBbI0ol8s/hJ7ANXXY0r/3uROO+37Tv9/QpMuGoec/QPlXaXtI97+XHFPuwMzvv0YU9bE7gvI/wTwyj1eM5T9wV5TI6Q7Tv7wemJ+XbOW/R8OZPOFa+j8KJNVeYtDZv6boPSqPvMq/GN5rLRoYx79JF/nGNDXSPx+bWbz5Lcm/PPb04u1Dy7+TAeysIwfgP3PxrYf5PKM/TWBtZnR77L/DQcW2D/KQP8yOHzCMLNW/lVLWG7pYxj+C69XoPazsv7dGpJjRRfM/NFqguy/M2b8W03zB28fiv64bXFb+K+E/fEnwA8tm7z+LqluLQ/Tlv2Sj7rxxaAFALtnfg/2f97/ZMWTCnxbgP6fvps8Dc/6/B7vFmTuz2T+cuaYunJrIP5DBuOUjwNq/yyoPQdiG5T+S2GFrlkLrv5Ctx/gndN8/1FWkGfL25r9UcVqFTS3qP7oSEFy+Ace/RuKhKH0K+D+vyNO9nbHQPy1VdBI7gNs/0ypPeGyb8z+QxJ/suFrpv/+xUvwKOfa/JYkJk48a37/EG712ZT/nPxaQH4xiFdm/PMzQ804w2z8GvXwzo5bqv34hYIHKL+u/+RKZZ1pC6r+ZfiQQhygAQLsoanWh7dc/wTM8m5cc6r+9SIyEgB/Cv3U8GPuUM+A/sEU3BCJ05T9tdldumK3bP3cgX7UeWfu/ErlEiTMl8z+wB/Vw+STgvwvvpXxAP/4/0aQRyhspAMCfBUxZTerlvzBXBdtkEOc/HGrzny6Jyj9L9Zp/JRIDwBqLXtadWQFAcA9MJBHF+r/ORkBy+z76Px5iRhzywMQ/nJXAUa7R3r+EW+B0KhjIPxX3Qmq1t+K/fBCjH+tO8L+Z0KS2+qbvP7E4mtxp4OE/8C34O/KK+L967pbLT6jwP6XBivxaKeC/zjA4AUVCxD+JcHLehxnzP4NBxheh99y/8AVWMvpc4D9sYIeBuOzjP/fB3XnPRfu/lUxxOR42AkDLddQAnQjdv1HxkFulcvg/3BJYiOPA+78Z7XIUEEPtv1++S7mKaMI/5ZYgIEPd0L/Ew5a9RvHNP5szsDFTE+K/gvRbi9jT1z9njx8Z7Kb4Pw8JdQkcufO/T3gNTwGD4L/9iloewNzaP83FRIZ2Dvc/Xq/8aZkC/7/c0oHnzlizP7jGOnXtWfI/jVja/Rg48r/3KHJ6YQbNv27T6BRD2OM/8XpTr8D8pb8z0hn92uWuvwVa04I6Haw/BrCBCnLX6D+mMScdOiDKvwX4+FDBW9+/KQNi11H42z9xzpywwXXpPwvQV+WHIuG/EqxOf9RH8r//LXKgC625P/kaN7zHnfi/71J694qY3T+Nf1KtfKL1P3wpG5HvBsc/0o+aO+7ovD87TsmVgIjavyBIvNpWi/O/vqDcEhda3j8s9CJBcebTv6tIZtE2KfG/HdEorfq51z+W80wuulL3P4fVXVnIlrK/kVU+TSSaw79K/qh5NrToPy53isOnbeS/2Z/ngMb83z9nHPP6uojFPxzFmAbUL8+/wCS9GFxU4D85JvAWfm3xv/Dw0IuarOI/cPD5vHKd2j/MA486yb3vP0wqTZebLOK/DrgMnA9K8D+12JOEKIH3v7OUOMdBB8C/Von8GP7L5L9LRVnFTrT7P2mvm+CBg+G/LROnhPwh2D/EwJJ3fQPcv4OYtAJ6PvS/ctHEB34j7b8GK2qJgb7gP1ReEdJRW/s/I2RSpvre/7+cwfRlzMbyP40EGMGZENw/RFdC8c3Rs794dWqlM6/YvwIFSoTOPq0/zIwY2HXm5L8wzgd2oJrxP0avFwGqwN+/j2n4aEwisT8w28hbvmvJv54eYVubFec/jqt8IgrG8b8rj5rdCHbcPwtgwoX/Cc2/8L27dYly5D9aSKEYw8Hdv/9+uV1sGNs/aev0LnpJ1b+iX2N+nyv6P+mtYTq0fPm/Hd2yT3pg1L+DYr0kOj/cv1YWUNUene4/1+3myvPZ4j/EA0+ru8rmvxF6GL6MnOM/QJz9nwUW1b8ciJ+JFzqwP7F7xtaIFd2/nM2rplpW27/23Ifn7vfiv6RFZqoD2ec/DUKg+spJuj/qPKCD/xTpv+05pFUN/8S/wdIIWf5/+z+NGL4ODsXlv8X6/fn7d9s/Uc3/WbFd07929XR6BVLwP9GRLHYBFOC/RobonhWU8j8Ukpb0giXwv2x6kkvEOuG/Ffa7zZ9Kpj/eovu6ljPqv2PmyGqQ4QVAsy+GBBRV+b/VhiV4UHzgv8zOF+/BDeM/JXNmqTwf8z8U33EU+xD2v8r+yiYHGOK/6NjHM+lotD+5DvAo3qntP0JDAJgSo/y/kyDO+C/05z8RfzTV+ib1vy/ddHYYjwNA/SaaMIzV8r/9gezV3f3jP4r8NbfQ6+C/dwztKxRe+D/k9MtJXI/3vz77Ev61Gvk/pgw+44UE07/An3t3GuDovycruFyeKPW/7ETcxyez2b/dTyQfe0DzP3y+ZvGSleA/MpH66Soj4r9Dg1m8K6TaPzjDxCViS+K/WjjUsmMr4j8lWaF0XmzlP5ZYu3Fs1/E/Evje8D2Y8r9tfQkUrF+fP1+wiIlQzbw/UwCEHqlN8L+kW0a8FDD6P/2J7COV0vG/b/Cev8pe1r/OLf8Bman9v6GNlbc7V/A/kbafxBmC9T8vTtfr2pbSv1auNhzwous/jhYrY8qrBMDO3goZjjPtPxjR3BfRHr+/ZLFIYGyxzb9/vIg8lrWvPxcTSNGaOLI/UwShp3Wf5z9/HIGmNhH2v7LdszVFFQJAxipRo13sxD/utSeeY7cOwAGaH9R81wRAAJUKS8Fm4T/ZSMGhLxfhv6uyzdoPmNM/2nMBkuZf8r+U3lW9sM7gP1NO2qc8dNi/XJos5DimyT+kFlu7k2fsP5x+vLVLetS/MIumD8080D+9vTwxAp/av1T1rCBFrN2/0sUMau322r/cycPIC6AIQOGn+Gs8mgbAwpkl4s+C0D8FhCyZ9ibsPzUH8YKLQ/K/TW40Vyi/6z+cBftTnCnTv46AFpxg//G/qrEYgbPi2T9KzEFHYkzwP7h1SeWccai/1rGM4fpZmr9+PbKeM1npP8J1cm8FG/O/iVaJHLYBs7+LI8NXWx/YP49OnEwnVfA/dFrhs/oZA8CzqbLhjKvyvxz51W2UCeU/sjUdoLbl8D9Nxm4omTzqv49PLxTtd8O/sINMy3w+9r/vMUKXFmv1P2dOkz9dKIe/R3Iljt9f1j8i1tLdpKrMv/v1/slS8pM/5ghoGG/3/D8wRlq+o6mlv8ctqjCcifC/obuZFNKI5L+a/gC9nj3qv9oErylwack/n4DB/+xcxD9e9W/ix0DoP7k9pKZR0Ns/pYJxGpc/6L8MlDaP4h6XP06XC5SpG+w/oQhP/pzf1z86NrVvH3LvvyIN4jIsv+4/gFCnMS4G/L/+VYPcRBb1v50i+nequvU/Q5aZAXEm0j+172F8uzrLv6dH3vlMlPE/M4hOkwY00z8vDOidNpD6v+E5ukPbdQJAlAUU9T0R+L84tA9gJHnIP2uPOnfR1us/l60Z61q0978+no+e0kidP5ln898qO9w/cIR6NQqdAMDSWQUk8koOQLyLAPR5dO6/RumeAwdO1L+BE44HCADuv1nkaFnvmca/e3U42Sa6zD+LNTrLnsLzv+x2HBD1IvY/MU2AEsSi37+f7VLIaoaoP7dy19f0kOW/ke1SzCZe9D/o08pLPZ/DP5B6H1D1PNU/WEo1pR0cv79WPzBldCvQv0Lb4a5bZ+I/pg1o0nQv4b8nmHjDXGfxv7EQxMaG3vg/mTVrfWB05D8YW+t+1qnQvzk9FQQkntw/Jp9DZztW07+24UgJ4BHSv483z1TRI+w/B901r9G58b/4HqVtAxf0P2yLx5vjfPC/Q3/FIWEm179DOC/31AftP3mrPihFadO/P+deQTI4zb9BEJs2nzPcP9h17eSa6uO/fGAf2SvZ4L/QqDA8gWP1PzuRN3oEO/a/2mPZsOai0j8UmWUSffr4Pw/ql+hyi+I/dwm2Q/zl9L8MBUAtPk3vv0SEY3KOceg/lB5++BNjqj+ZlNPrkrbEvxu+kQ8O6eg/jKvhOc1B5L/5FN7R17TePy6CdtCa184/HbAtOJ2lk7/BDA/G7ljjP6eYzLgGpJE/JaLhlYYt9b/QbcFRvnDmP978c5jO2+2/Ho+ki0ID1z8y8q7E6qX0vxmE0hPe8/Y/SXBQarnI8z90r0y1B9P/vyRJUfMXVOA/8e59M/Hjwj/HVphAkCTQv/3g+oe0+vA/PGiVdBn4xL/JRHp/D2jQP3VBG9piUt+/2gf2K6W66L+xUCJ1jRzGPwH9UTsOJ9k/Dh3sSOfW378QBond8NzlP7M/bSHRatq/6mL0nljS8T8KqZUJJrzuv27i++CSUgPAdeAtJQJ4CUAkIxA87XzoP3XgWS+CW/2/4dFAUGGs7j8y47adpjKNv1m48DEYycC/2CmDm8X34r8lGe8ASaXJP6smB9DlO8M/e9WdZSqc0T/qI5UeayDVP53gflZciuQ/BtjSLBJfAsANqo3PZM7zP5/AulqBr9I/uEc59I2Z3L9CcxAvKYAAwPyrvyXqMQFAFnxePAQU4b83ZgKb01LxvxnpUvjnHc6/rPd7yDCR/781BDM3evv6P4KVXC4RmJ+/3jQ8wKjp5T/De+YLC57gPxoAf+EK/8U/wn3tquYxxj+bsdFFJq3Nv19cf6NQl+Q/ODks4LhvoL8jgGBN5yDSPzVcdAVmxvy/nhmcqb992L+xs/uapdb3P/VFiCghRQPAS6y5tRU/6D8f9caBSv/ePy/Hd1qoD+y//ElbERJP5T+HYhwsQLfrv4JEuCCqvglASumqbSfOwL+o13GuQBP4vxMONsAkrK0/nu0Cl4Yh5b8YMIFB13n+Pw+SNlSI9uS/myBDcQV1+r80kV0v/DTxP0ATWuzdJgJAs0yX3Cn09r/0tiHwg1y/v/uQkatLrNI/nphgkzmi5j+zyxfNuXnzv/lVkWhG0PS/9ZVsaCFI8T8DnO84OpTgP7FGqgtvjOS/srPRene17D94w5LONRvZPxYHOMMGSdI/0y7SpE1R4r9Ea+GVpQ3yP3QFdolPlua/OtsIvQHp/r9L8ZjkBw3UP7R1oq6ssPK/kgPkZsOY8D904BYJCMKTP+tb68u+weO/eBMrsncG9j95sboy3kbvvxAk3wdAU+E/0rjtcTwj3L8H4jZgAUDhv9qHtZF2tNq/rdYPTqHX7T/G0y7YPsv0P9u26HQJMgHAaa/Cv5PV9T+BbikY+QLkvx2SYyho5tE/mELJMW4R6j890RHcn57kvzcPC1MzWXM/nByVWLIAzz+g6Yu/do+7P1A9RHrbOfY/1f2oa6ER3b/hTjxFnkPZv2IJ+bQ4i+S/X1kw5HWr8j+/Nv0kvp7zv6P5uHeYRtM/Zy2Ad9M6tD9pgKJWUuLOv/lmBdMuAtw/vRxg1t2l3j8wVHqgjEPtvx2/rc7AFgFAgVz2SVRT8r/tDiQc/de3Pyq/X3bthMS/UK3rrauF8L/TndLG+I7kP2WTOJJoWfg/LWsVKL3S3L/3UNWHNCPVP4SxLs5fNe2/pJFKfq9N4T8WmjFnl0DnP2tgswyUVu6/FrDwoBIWxD+n7/aWwdbXPzuHvKCHGeq/jCdlX5NYA8DlFK5VgMDvPy5+ku6pngVA/b2Qcb4e4z9CIRXeSW/jP6jWaf2/xvW/p+rxmn49lD/TTDv8MTf0P/sKmSkHJfK/IcL2gNWS0r8REV7sHPbSPy+3p/hb5rG/SqIr37YA8T9tlVPvogP2v8mDj0KNCKO/kgeg5Pxeyb//pT8PI9viP+D37QroT+q/TnCIxJnPwj8udKCGqV7zP1ts1wZW8M+/dbNGaIDj578PBNuHAm3ZPwHGjsc9lug/CIKiaXo68r9nygTjMC66PwVBI63Mctc/DpukoC1KzL8XsiKfvozQP72pohr0wvM/DcytF8B8/b+bKIyeWATpP3/tKq2EHNS/51NqDDIxyr/SyT5odh+nvy2Kgyuve/C/R10VlgRb5z8lfLxhO5b1vyGwj0+GNPA/cuDMv/3U1b82ID6ligfyP/3mejPRbfO/DmCcASTa2L8X2+Nxbxbev5+ptTmCkNc/x3Ct7k1J8D/0P3HNpSLXv9EJXnr9jua/oIMgJFbW6T8mQquP1kPvP8Qf9uptePC/hH6qKUiK9b/vUnwrPS/3Pxt2HBzhcOa/1q3WIwogrj/BRUwE71L2PzVpDmqrNP2/Q9aAKNmB5z9L9qpEUKDjP0NzbSvt0fe/UuO8EyZk1L+Rz7Gv80Tgv/xImYQsaro/OOtmkaX94b8j+Pk3Vp3BP1j6n+ff0eU/m6zvQp8/4b/ps5zGPeWgP7Vx4B6hv84/Ro450wBG8j/K9FYf6Tvkv5Nhb/Lq6e2/NOclxSsk8j8b4tVQavn9vyK9751fkMc/huGasUJG2L/3IelqF5fuP0EU+Hpezty/car3TmG68j9yeuhofhv0v8e6nlBPCeA/OfkmW6qA5D+0IRIVl1fiv41FIQvWW+a/r4BFnm635T9c5mUI2BbpP8Z0bHNXoOc/sK3zzkDg5b9UQsXl/efoPz074nzGpdo/FDguzcOpOj9+ikqJmbjxv1Cg3oGW7ua/ks31D+3qzL/A4ankOsLoP6Ib1/4ia/a/xFOheRGrBUA2odyHku7Cv+V2X9cynLE/37KGo4mPvL8fJTEtP0T9P6Z9A4n0d/K/qY91zae4A8ApF7RApz/xvwU5bThdTABAMQMVBhAEoT9JI81RGeb9vygGSBumpvM/MZdfZ9cBy79rv9XYiVHsv9YdlRT13vc/CSSGB3Tcwb9FQGlYucnjP76trX4UW+E/MC/RCpOa9r+pa90kKPvnP+/rhHfKAPE/K2e1BeI49L93BRKRjvLrv7SuXb3XEeI/f6HKxqtF1r+3VzqHLKb9PxI7OHEjp/u/cM/04fF81T8w4moN75zGP++qlLyBmdy/tP6+4v9E4T9ukP7X8KTXv0eLlSObjda/V8GkmfQr0z87wb23tLXtP5r9TyyW3/a/Yq6sxfg08z/VHXh+SWvev+YFP8rC1vM/5jy5KZc84r/CCeq3r9nUP+o/gWsUJuC/CLO9jtv26L9v1/Ocwi7zP5us1yJUJee/RUuUSha4DMCyPvG81G/nvyOCzJfg4QJAgo/ZNnyv7r86zZS/NmroPyUGFaXKGwJAjuis5lYT5T/Nc9EMgILNPwVrkqY2EeM/mo2cR1tB6L/UlY0Cicrqv7JokqyhMvk/t19vNCLbB8Bivh8kxNniv2hvvUNgxwxADEuzTmn3+r8d5IsU+YbLvz2YStcB+fg/Xp7K9JCw9j8phBX1FA/Kv2K5ISPmafC/AXpOFwDkyD9njcBdC5HoPxYYT6iDRPO/Kju3zEKDCUCy1k7Unr8MwMLDsSe/8dQ/phLzqrAW9j/npCOaWBHwv4TdhSAj6fy/FhKtyAJj5j9iLk9lTgu0PzT7/tJqjOw/gTC6TJKa0T9438S559fjPwvSDj5SCPq/vgERdWxe9j+FhFkcu2fqv3KB7e0LMu8/kGBiiNPt7b9u4yWuKAjsvwiiZGwScMs/nNRLT+A3sD9QpucgbXq/PwVY+0n5KNy/GkWXhHBQwL+sh7acvSq9PyvdltBsI/G/6ri+XwJn/z8UGuM8j7jfP8gK9xJmses/5ocY/OykyL9TcXvBG3j4vxYvphUoL/I/oGFcliNb2D/1f5gVUOjRP7ysGKa9M3i/fwqXQcMr9r+DLmw+rNWpPyEC0HY8BKC/i+8Svtzn4L+/ODGcqIzXv06+FC+qQfI/gjmZ46yC5r+/dkAvFjPyP3g0cpXzS8s/pknO2FNN6L+6nmeIgXntv5JrzOYMd+Y/UyvaFP/z3b96aXcHKr7dP7ct03+Fbbc/VuAJP9jX5L8RwEKJFMnfv5rUhsGhmOw/SVUbGEJ1sz+QW395j+nzvxhZo4Fs5QdAXsCCekPv8r8OXBVoXNDuP84jPoWGqfe/piGxA1Mv1D94yJ3IgUjiv5+gpnBBBt2/4JRFHzIs7j/8OAIcusvZv8rTxcWlg+c/BDLGoDXi4j89wmPLhwnCvwDlIDPnvdQ/W2mI2mWn0b8XfbCvGmjxv7EN3fKeZrO/JlCV+NRI9D9ADC/O3TnCP7ONVCZzv9y/qnOQDU3P8j/2HG+L2lH7v0GRkwU0RME/CsptlaSbDcArss/8VuHuvzt8qEKhqO0/UwI9dvt+C0Ajm+gWDdnwP6sjDnlfHOG/OYCKQO3F8z8E/z4ry0fxv7+XECGrkue/EjRsct7Gzz/rFZ5eTNTwv6pWKTGfhMM/cr2uJ3qApD+DDEoBYXHeP8tGsY6FYdy/k+eHBiel9T+VmlLdq9Xzv1hoGYBrQuI/LSAYw5bg5L9j/kPcPgGQP41TK9caDfk/XGnqf36p+b+rlgfQ7GfOP47RLBTbVMQ/17gq5TDp+z+kevyee436v+www1dbCPQ/yNipwZ3f8b8/ObPHEa/7v5QAOnH9VPc/SjeANe+U9D+MUar9Lx4TwBDecKPeQt0/ImNqeTac9L8bFXynw/XFPxNNU+TfHxZAB0MtwPeD278yY3Nj/7DoP1T92QmXfPe/rgsGFpf72L/srn1faS2+P2Ct2sxgF+q/94Ms1Q0u8T/NNii0w9PtP5GMIGC+DOK/qyeYcr359z8F4Bd9/Cr5v8kvHh80qM+/qg5ytFVJ7D9txzSbWLb1v33aaexFHe0/Lu6rsrUfwD899KxLWy7uv73jqaNWCc8/l5O2I1Mm4j8Dr2lo7bb2P4aKUHPTxwHAjYEVemlg9D9KoFOBhWX0v5B2Z55eXuW/HZ0DAVFR6T/X94LW9cf2P8SZsFlDCui/OMIsxl5xYr/jTWRPlG3iv4iMiuGZmv0/h16+IvFQCcBE4GAiUdDsPwdOPgV5Xb+/JCFGd8dRsj8LMxfhTdfnP4/m7Siue/2/48l52Q3L4D+st9sI3ZvxP9MGbGr0nZi/JPZ3yes+5T/67SupNPvwv+m1VGq2Gdc/oclCkIEsxj9auKnmw8j0v2U+QmEit+A/Qq2e4+tY5D8TzjkYvMgAQGN1+4gJhsg/Cp7Qq8ER1j8pE36e8tXOv893AybfffQ/SVGrc6LnCMDRO0Uro+nkP4L1Sa+gXOC/T/7dNfKqur8AZ3E3SIPgv/sDS2qLfeK/ySvfRr2Q6D8QIe4lkwjRP8VqtFDOKMK/jtDPadqg5T/ERnn8tvDFv12zs4Ry1ui/gL2nV47wz7+eQdYTj6DyP5YM/pJmJeM/763oXKor5r/jY3hHxbDqvybrANEpVMo/yHKqnuiN7b9q+lxJn6rcv//o/5omEuc/jlCSTHQ65D9fzGAlcWrlP5CvuPbkFeW/UiEs5hRMtD8kMREcqwvFv/b77njaXN+/0sDZ82SY6D+scEPrIbnrP2RxE9NIB/q/lW22ZhgFzj+kbzYZLqTtv1susSpL5d4/OZx6/XFz4b/au0ACCDnxP40YcFOUQ9C/GfacVNyY6T89rMnyuTTqvxKOqmnQXPk/wZlSlSGV9L9HRUnT7orevyUHkjVuV+s/nlnhlJxx7L8VPK24myfov+PNywi7J+w/iQqzWiBO7T+UouBMhS+6v5c0VFCtlcC/jCbEYHXR0b+ucYwWqyEGwAOv7giY3eo/o2Ww6ai4/j9v37zELwj3v67gUDDqGPa/O/QAi+pZ8T+XgZwPZRfsv2eq6dguZ+c/CrKQdetC+T8uDEaR0XXkvwb4BZveQ+c/KrHEzTYy8T/S035eg6nuv/iKxA6vXOW/Aaowa44S678U7U7ySKCZv99UGEYvrNW/YPz4QT6t8T+pMr4Sd3T6v4uVWWYkPADA7VOI0QWZ3b8hhpReKtv0P37NQ08PwvK/9yg41XKMwD/dJnKBDd4NQNOX6py8KfW/s0mTKv1F9D8AU087GWbwv1hCEAWhKbU/reqQjVhV4j+XnZipO/bMv9Yg1VfOPeK/wOBvs0Hbwb8+fHPNaRHjPyROJUFFD++/G6rgns+BuD/W52C1Wu3OP0aoyScwAeU/cgNqKywwqj9LQ/WNGsnev5lTVymjSvE/jk90/gST4r9VJX1nf/zRP1kOR+Bzz9s/UBeIvusC7r9bTvjEfyPuP1WExZhwyva/jW4TVv1q9j8kTjMnrXzvvycrWBjriOE/Y6RtKO7a279/9WvkGZ/qv3CS6vs5Mv0/f5b72L8o1T+eaduXAtavvx36eoeD7eI/NLCKbYrp3D+KzHlzrRfqv6usY17g3aC/SmAmKD61+L+itYmvTKTiv+ML+cGTVPE/38Cdzy5f8r+oQHUurF/vv0zcCuZ9O/w/ZjhPfDOxCUC7krR1wwL5v0+OYLeKiPY/fAdJyQ/atr8kxOtYTBP5vyRjq5Pe8/M/rSHewASr7D9zVjUkLaX7vx6AO0xceds/X/G8d6bElb/+G83b7Tnyv2d13FPZ6PM//xF/cT3t1D9JwChkyTD7v+R1Oyst9vU/fpqZlRlK77/fUI9fjUnIP3o1acRjV/A/GGK1ITM10D8B6c16FVatv6TQT+EgcuC/10A4bMWf0j+sx1mFvSblv4NP8foHtOg/aIqMdJ8Z/b/Ei+ujEP7qP9fIoZatj8k/bA60EPZI9L9kocRXBw/uP344aeIqX/2/mizHPINOxz+86IR7INz0PzA41Mnc7vO/7CkY/PNF9D9+dqJEz8ATwPeCRiTNq/w/fXRkSUlzAcBdHu6gFFbzP+W3DVW67BJAlLg0s81r1L+xY6GRbcHpv0QNj81P8vo/sSxRghLa0D9XKDnJh+7UP7IXBFg99+W//4m1KX/M0r8b8OygOJjNPwnQdYs4oPu/nv0gwj5X8j/c/bqRkdLmP0cOy4CKqPG/2eBGh2So3j+BxN7jIo/0P1/BDTSdCf6/ISJi+e/57j/fytJnj2GzvyWPovpBpfQ/s4uWR6qj9r+vQ0WVEebsP6mkh/MPWNa/xLpxmzvK0D8MKtQJQX3jPykrFo4cq/m/kT3F90Vg1r/1mH4YARzlPzu3bdvLp8s/+H8Uytbo37+1ieQvm/S5v9eAdcOMSNG/JDRccmKZtL/vtMSGI2XYPxm2pAkfZNg/nH+44e/e9r93JYG/RW3qP9d0w/mPjpe/45vqXfWF378syz32axX9P3UOxtrVWPG/Qj92EdMY1L+0waWGdgbPv8BfU4oW9tQ/e7CuFHVg0T8ox6w/URjcPwT7Hy0Z9tW/suCDSbqt4L/Yx/tyV9LxP5VSOxq4GLs/6EWZvxtc+L8K/JTigFnqP4jftlY3vba/+KuwC9Kc8j8nLYF412jmv/eTIEJdsec/Ikso6+bdsT8Hp6CB41QFwF48d8+Aed4/Cgoi+Ubs+r8EgogCSyPyP1kH9C0sAfS/lK5t/3fy7D8dVH18be3EP4Hl0AubqOS/HA9c+3Ga5j+ukyn3Dhb9v340N+YIrABA0nesLEp157+0vaafo/DyP95FGJtF8+w/+0pIJeAB17928gvGLSTrv+v1sAyEH/S/l0Yh86nZAUBWbkhxSvb/v4hc9wbybfA/ccC5umhY/D/PXFj4s0P+vy6EYfOIBMc/hBtHop918D/RCFqokcHhv2dy8LGKp/M/thZBR4jV9b/xeqCfE/XsPwKjh+z1geG/iNzctJbJ8b+YF8x5qVfSP4DtbbPm0/G/BgVRsOML8z87C2W3veyeP9yfauciJOu/m67YyMt/7D8M56tWSRvRP8J22OUbCta/ftzynfbCzr/d4IUu0GnXv/IirNEWA9K/sL6vPnS13T/61SWELUTyv6bAea5/6vQ/AytkunTZ0T+E9rGHlhrSP0Q8+D+Y8tu/mPCqXj6e078c2/LX4MnUP+yFYx/kpOW/9NCoXtnv0j/gsZJPUP7mv+4417OV5/A/0jPoRQWfwz/RUgLP2n4AwBQwJ++x3gBAlwfzi/oQuD+fntRhcvz1P23DXgSHQwHAhU4FSxNPuz9+YEVtM63lv/D28PnKVfE/tggnI+GQzT+8rh1AFu7gP8sHZxqT082/eovLIG0y6j8GP81S/oD7v4HkeLEW6/Y/7T9OP/RGmj8SWRj1Tufhv0BKy1VLluW/uQG/CkEc8T8yUB9sH4jgv6XdnoIODNC/UL9oUqJG6b8zt9T9ChXRP9wRyJU1wfA/Y9PdOmXJ4L/xn58j1Uvyv0w2nZ4lqdO/rukaujWzzr/EOXcdKIXzP2gNIZ6pCva/a/5KcnOv4j91gTMqfZ7XPzlmmfAlmf2/iptVTeai8z9oIvkAVBvxP33FqOBqMY0/Rztv0ZMi0z+BB9UZklS9vwByJBssi/Q/bCjKp+mn4z/kvufZREb0v5mPvaP6kQFAh/oY6DiKAcDo5MZw5hbzv+ocxccXudq/A6AQyYzDrT9OKuPvB4rzP4VX84T8esm/QmbwDsOSwr/+Zvqom9LrPyt7iFCkCtO/8RDZjTH7sT/GYZv3yQbRv175Me7YIMw/4dEgO/Bx87++nDPM6W7lP58VI7rJs+Y/5r/7Z39Q2L9Ms/pkyr3mP+eaj+A+cuM/vsAq7d4m+L9dsWdxotrsP+kTx2D0isu/Ngb+cuAqib+XQEFupeLxP4qh/8PFCdE/uaR0+1wB2z/eQ2msBtihPy4xMp6eUvu/gEf3oY+A6z+G3+XipQD8vxFC/YhZWOi/1VPQV++96D9rtt+btwvMvw4ZoqFFOM+/Qhlg8pzE9b93s69J6KS9PxWahdwdFfc/1qTi2eiu/781xwgXhUP3P7gg95rCyOQ/8yuoujMS7L8z6oGD0y/hP09mDt7CVuk/S+HESDWh8L/89LujKRyqv3EJcEwUbuM/uSFhZw4a1L8gSfOI6mL+PyYZrQGS5APAIHDBrpEiBkBPgTVpYaUBwMBFKaRV3sU/+r/grLEf5j+lLUfzvRX4vwRvbZ0S8PE/GJMCIN6yvT8D3l7dxKLcP2d9Np8iE58/ZiAKMe2Yur/jWsP1dya8PwA0OEKzhO6/IT9TuGR67T/OQB/wx4jpv5qIQEOHI9E/rtRt4eAOvz9PXXX01uPwP9cWlDGQGNi/o8qDMPkb8b+IWPXv+KHZv7aOxbjohN0/wFwU0sLzm79sG/qBTi+2v82NIXts3No/knh4NLc61z9qGZYFVQfyPxhq1dEckvO/409FcFQN07+oFnEyJTjnP3Kc8MkeI+i/FTOokfOb1j+gmYfZcj3Hv3EgWk5b9uw/idB900PduT94USHVvhPwvy2CqCgi5Oe/j5SV+IIg9L91RyFHosTzP1wxaf8+tN6/hbzkm4oP4b+DL/kKztH2P7UkhpzLl+i/LFp9BdOU9D/K62qAUSPWvy196bsNpem/L6TiXEbM5j82jzZjMczjP5xtG1qpotK/HdVFYo2L1z8QauX8lnLuv6YIPAYBbaQ/qaYSQNUN5T+4OiIwJDjPv5FOSIGb0dU/xu1KO1Eg0L80U83FT4/BvyoRjP4lW/W//QGH7McP9T9eUhkW3mHQv4O8CfERtXO/7yfFHINK3D9VpEvJxk3wvyRY9IK37+I/Qq4m/67Z4L+RlEXjwEfRPygMoYtFwfc/Bam/5ZeS57/+eknnfcv5v6R2+rdzXcc/aEXeBK07/z+cjbNjn6jHvxOZr0pbO+i/RCPX23QT378+Wn5QXCH5P0SyxkY8HuQ/+oU1+ObU3j95jpSpDZ35vyZeL/fBTNu/Uu/ZoLgC9T9TZJkWUPbkP/BV7X+O2+a/qH4iv/ab+z8bAd5A2PDzvy+1pTnYBcQ/q842Co8m5j+QSR8BhJ7kPzI9B4jxefK/WxMrr6VI3L9fU5t1klj4P6MxjeF+hdu/KizCwSajqz82Ou4sODvyv+U0+97oWvW/Zi7N+W2n3j+UENwzCKDzPwwg4XnEV+m//REU+6w59D/wAbAk/Ujpv+zziW2TYM4/8Ao1YOmX9L9NZpLtBgX+PxtE6fREvOu/5ADIB0oM3T9aen6z0LPVP+FmKDmmGcG/x1S/BiNL9r8utKdKI+UCQDpmQjwU7ve/Fm9EVNhX2b8pVZu+HF70P1fppLSnq/m/9Nu237rx1L+G6urP9kX0P0teLo8dH7S/5+ybQ1iy7T/1SCHYvHTJv9D+RohxyP2/YYbGX2Lf5L8LMvllJDTgPzxMfSy47Og/2EdFIbUy6T9WCj/IU53gv1Zakg67PMq/oLd59ibTcj9AU1QFZZvfP3FuNXG98vA/aiS/ZZ0D9r+AviuKNOfuv0Eo6dEBnvc/OQt8UuHl6b8wfh0NHmACQFqn+qwEigPAFWyHYtzj6r8GFV+zX5zFv4ZFOvBVbem/kZo0dBM3/D8CgIOcYhS6v8XeDO8sJfe/UiJpfJHL8D/3DIO19g9iv5iRb3aR9tO/+Jx2aa1a6r8AbpM+pIb2v1QhFKk2ftG/IWmRyYa+9T93RY+ebDXxP1welkKwg/C/dBfJ02RFv79xirBsl4rWP6q/YNbG6LI/HawYIdTHxb/mDYcbpeX+P4Xph5XNr+2/wz3Fzm5IxL9Ek7iyFIfnPwvkbPFImeC/icW/XjAL4z//Hr440WnaP/o8wpKyHfW/DK8WCyNi+D8thp7H6d3xv5YkKwAT2Om/Ahy3E9aV4D8G5cLK5iP/v0M/7r1EBvY/clzd3W0wgL8MGDfdbzPWP9YRL+fPwvi/OS6wI8Iv+z+CF82U3fPYPwaB617qpsM/TOu+ASSw2r9VCeiak23KP/H7ZX9l1ey/WyOvS7FX8T8dS4h5xg/2v/vYv0LGk/Y/QOw0RrU01r8Xyg2+cQXdP6VGjOxIjuy/1m6QeuQ9878wSJeXbqTqPzIyGUHqLPG/F24ifehq8T9LD1K9/5rgv1Aci1KlCfQ/vbOeyOcC6r8T+Lz3AKP4PwZDZSEmCPi/DGJPXsg52z8bev/tUXPUv7X2h4Va/O0/q+bXZjXp17/SpR2banrkv+mjPiWvEoU/FeKkLN7z2T/kCuCIvQv4P5lAiVSx9O+/8EJj8Ps8ur+nypInaofOPzOieubPV/G/8z+uPZ3ExD+7pH/pKLf2P9URMStvMwPA/DOOO9N/AUAjNOgjtBr2P5v4G5GbmgHAfS5ZT1Gwyb/yXx8ihb2Ov6CDdvByMNc/UGR20ud65b/iaXoZOR7wP8e+riB0du6/aGmEa16/0T9L9DvrOFnQP1vTv6QIYLO/IZr8M0l22D/9/v+xQzn4vxLAB8bXqus/SWh7325W6b9aTX+fcD7wv82ZAufkUf4/tPr5fsVR878/nYpqTpsCQE9LA3YCjtg/VZqHFIuW97/FXrTFtC7jv3lnn7nifvQ/MouPt7EX0r8v19GT/cPtv8gbcTNMLeW/pgZCO43V3D/m1JYtOL7KP8/DRl+UpOK/RJ1TovcF+T8DQhIdsZfMv5ZAakW5iak/I6c9Br5Xbz+BIOfED0Hav+9cvf2e5Ng/TuOgISnBoD/uzkz8knTtvygAZWb4BwNAPZRedzYe7L8hAEEbe6rkP1TH8m7LGNk/DXXfADmr87/vVcCUKR/8P4sJm07tdQHAsxvRr9Qz/z9k/i/dIkfxv2jcfXiBJuC/E4k1BG6e7D+nOFGvviiQP3MJQlFef/E/7DQsPJKWCcBaqFBim6oDQAnNIk1Lt9q/gWz8hilj5T+lfedskVPUv8r1PHmChPq/I4pFetEQ8z8uFA2JS3KtPyZh8zoOvea/YIXvO3/64D9YIu5HigzZPyO54Y08D+k/FEWqBzhMBcBBtd11y8kAQL9EiRF6/8A/WSO9QY4pvz9vimQ40crBv/qE4dX/88C/lCbLU+rh3D9soADCZ6bjv9yRcDW4qOe/1bC4NiWk2T/8ne46pn/oP5OfbG6Fl+Q/fXaz8WoJtL/emIPsl0KRP2NDUMqg7Nu/cENvbp/J87/e0+Kv667wv+rI9sOhieM/+Ky0OU+n4j/awE9t5sbpP60KKgnxhKo/4zs+eyTP3D//+A5P/FPnv+mnNtTpaas/aR2T3kfG9j+szU01VCv4v76Ua9g3X+A/BmRbSvRO17+GfxRC6JXPv/d5VhtX29q/YYXU8Jwp7r8k/aFgrejBP4zcvjGeovQ/h/kcQlAF5j96Txc/ibH3v2zM+q/pAME/QI6ujREb+z/OS0udinj7v35blZSbxu4/WCL0a9F7579Cqu+Hsg20v16Tvs9r7ua/jOQ7b8Dy5T8JqKI4UT3Sv42639nrkbY/aTvg6VH69j8ttkddDGbkvxM/GEYwAso/rRL4ObKfpj+HXsfzfsvwP2AQ2U1O6/a/aaaXBRXVvj/4dJEqvquzv227CqxaZru/WH8bMot99L8vnTm6OpYBQDjA6FWqmt6/lPmykiau4r9XvPSQ0nmGv3vLNB3MXuo/UcPZ9qCa8r9MZTkF7EH+P6Q2UC/rJP6/Efp+1SQQ0D/FadWO6kzUvwOryZKzM58/FyL5kJ3v6b+XWJ2pGhD4P5ipaZULg+Q/09/9bLZS+L8WrpULN5oAQHs2R0T//f6/92OhUjIV1786OnhShdv2P4OgeTB3zPG/17EYUmDV4T93OSszhH7Lv1wTXKf1uNs/2Re7LsCS77/dXdYd0fTxP/TJ850JqfO/XKQH278t/j/wCg56jFoBwCzl5tBbPARAW7Z+9Kt747/jIKaEA5vgPwD4JZYXYAvAa0qxG+aS4r9+MRjB/Sf6P5WSdZGZP9S/LD/HYDPpEEA5fReW4PFyv1fOwFk8ov2/nLZDmldG2T9OXjMI1njHvwI6W81JRus/m/G6wRq2+r8oGLwLgDf3vyBGRoPtUANARETbMfLd7L+jYwUQqHbcv7QUNoteO90/37La8zLEyb8aydyjUSPhP3eSamuG2Oq/C/VAL9yP2T+xH2Rf4rTEv6sn7rmzrL6/SyM8a3zbz7/NUs1fWiv+Pxuib/aU2ve/klarAxy727+T83NRbmLjPyMNrhazA+U/HAgwBi8l9b9k7kVylF/UP47G7JF+2eK/g+CakP1b9z9mLEapeeX2v8feudK8dPe/+6nMwVTCAEBFPvPRQ1XQv3PvYhFIvMa/yYT3xAMk+L+NOed6tWX6P63ewVEaNOS/RA0UVU322z/YJfkxj/HXP3H2lj1ezP+/NDMdpFYHAEDaG5e65br2v1FvAhLbbOc/txYPyW5J6D9zU8jwfJHzP8Z5fcDaueG/9MEE2Hms/b+TE5HvDfr0PwAH+vJ/Zcq/bejezbKl5b/eYytunirqP7GfgV7rCdU/bNjYIRSb7z/GAeuKguzoP6sQF6pAWvO/SLSaEu9M0z+mjHzaTUj2P4m2Dz4Eyv2/ALnvfM0heb+fPAJnsX/fv5FolJKWlvQ/RKeEFtXE4D8nSa42kCYCwCdK5tYTwre/wWHU3TjI3j//m3yjfZvyv2XCLFK+Lvc/lfCvTxgh5r/7BrG3onfxv5zJCzRrRvQ/pD/InCCsyT9EW9eUABvmPwG693OSh9i/vbrOY2b+ub8wOE/0D37yP5DTav/Qi/u/4c0KRJ3ly7+79oy7/pzTPxH5SSBGcNe/nFASwqJ8vD+syymxKD3bPwW4OX7oKuA/ULVpHgd2+r/SXH3N71rvP//qR/kDh+O/ubJ4dtSAyz9E79fFqKTqP6R3aRrL7em/la0wXCWlwT/kS+jWbKztv61zB+5MwfU/4qkvXalX7L+EG4brHfzpv7XJgvmlcfM/gXygcGvH5T/rQX1OTnfCv3B/9VL00vm/kCg7lPt72z+V8gkD+EvhPyC/IyVMuuS/jaky81ng8b+nw2MMgATQPzhnKmQW5tg/9+S6EpVb3z+EwuqNWePlv0n7TPQe8cO/S/kgFxRG8L/M9UZ6DozwP0SjJ9ubifE/2jxtP7a2678Ohjdtobzwv+FEWD0gxPA/+CvNNFSV4z8U+NDY1+3hP4T4VWjoDQDA/IlkGjEl7T/cx0Ry1k3ov5bUYV2tst8/PFN5LjvT1b/TfjKCae/VP0/ImGKktsk/Qs4IP2Rfrj+kV04mjo35vxwSGc5p3uk/cJyiBxhz6T82UW45oxPbP+hhF93sGuY/I4tx2vV9A8DAa2JyKQfcvwTQ/Rjetti/lneIxBaF0T+h3m3BerP7P8skc34oFNi/C6M67w/Hzb9dAS4tRhiyvxszEKzbf+Y/RneDGYPP5D8C/hFqn3z7vzZaLklb4cI/VVJOGnJB3j9QGUJdd9HcPy3Z3d/KtcO/A56dxDvH9T80SFVPs/jNPyeNJhbWerg/Evjcn0lF9r+4jE4WZ57VP6KLwD0OuPG/u9B7eS83hj8Cpvl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", 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", "dtype": "f8" }, "xaxis": "x2", @@ -202284,11 +158922,11 @@ "size": 10 }, "showarrow": false, - "text": "UPL=2.47", + "text": "UPL=3.7", "x": 1.0, "xanchor": "left", "xref": "x domain", - "y": 2.4678157269093997, + "y": 3.7034450240228214, "yref": "y" }, { @@ -202301,7 +158939,7 @@ "x": 1.0, "xanchor": "left", "xref": "x domain", - "y": 0.0006421533065835959, + "y": 0.0006729954871746466, "yref": "y" }, { @@ -202310,11 +158948,11 @@ "size": 10 }, "showarrow": false, - "text": "LPL=-2.47", + "text": "LPL=-3.7", "x": 1.0, "xanchor": "left", "xref": "x domain", - "y": -2.4665314202962327, + "y": -3.702099033048472, "yref": "y" } ], @@ -202338,8 +158976,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 0.0006421533065835959, - "y1": 0.0006421533065835959, + "y0": 0.0006729954871746466, + "y1": 0.0006729954871746466, "yref": "y" }, { @@ -202352,8 +158990,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 2.4678157269093997, - "y1": 2.4678157269093997, + "y0": 3.7034450240228214, + "y1": 3.7034450240228214, "yref": "y" }, { @@ -202366,8 +159004,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": -2.4665314202962327, - "y1": -2.4665314202962327, + "y0": -3.702099033048472, + "y1": -3.702099033048472, "yref": "y" }, { @@ -202377,8 +159015,8 @@ "width": 2 }, "type": "line", - "x0": 0.0006421533065835959, - "x1": 0.0006421533065835959, + "x0": 0.0006729954871746466, + "x1": 0.0006729954871746466, "xref": "x2", "y0": 0, "y1": 1, @@ -202391,8 +159029,8 @@ "width": 1.5 }, "type": "line", - "x0": 2.4678157269093997, - "x1": 2.4678157269093997, + "x0": 3.7034450240228214, + "x1": 3.7034450240228214, "xref": "x2", "y0": 0, "y1": 1, @@ -202405,8 +159043,8 @@ "width": 1.5 }, "type": "line", - "x0": -2.4665314202962327, - "x1": -2.4665314202962327, + "x0": -3.702099033048472, + "x1": -3.702099033048472, "xref": "x2", "y0": 0, "y1": 1, @@ -203214,8 +159852,8 @@ 1.0 ], "range": [ - -2.7132487776565144, - 2.7145330842696813 + -4.072376235902037, + 4.073722226876386 ], "title": { "text": "R2" diff --git a/docs/tutorials/sds1-complete-analysis.ipynb b/docs/tutorials/sds1-complete-analysis.ipynb index 0131dde..39c78a9 100644 --- a/docs/tutorials/sds1-complete-analysis.ipynb +++ b/docs/tutorials/sds1-complete-analysis.ipynb @@ -32,10 +32,10 @@ "id": "cell-setup", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.176969Z", - "iopub.status.busy": "2026-08-31T22:35:36.176749Z", - "iopub.status.idle": "2026-08-31T22:35:36.390188Z", - "shell.execute_reply": "2026-08-31T22:35:36.389800Z" + "iopub.execute_input": "2026-10-05T00:33:00.100036Z", + "iopub.status.busy": "2026-10-05T00:33:00.099835Z", + "iopub.status.idle": "2026-10-05T00:33:00.307651Z", + "shell.execute_reply": "2026-10-05T00:33:00.307206Z" } }, "outputs": [], @@ -63,10 +63,10 @@ "id": "cell-load", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.391520Z", - "iopub.status.busy": "2026-08-31T22:35:36.391431Z", - "iopub.status.idle": "2026-08-31T22:35:36.398585Z", - "shell.execute_reply": "2026-08-31T22:35:36.398229Z" + "iopub.execute_input": "2026-10-05T00:33:00.308887Z", + "iopub.status.busy": "2026-10-05T00:33:00.308794Z", + "iopub.status.idle": "2026-10-05T00:33:00.316587Z", + "shell.execute_reply": "2026-10-05T00:33:00.316223Z" } }, "outputs": [ @@ -178,10 +178,10 @@ "id": "cell-formulate", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.399470Z", - "iopub.status.busy": "2026-08-31T22:35:36.399413Z", - "iopub.status.idle": "2026-08-31T22:35:36.418047Z", - "shell.execute_reply": "2026-08-31T22:35:36.417684Z" + "iopub.execute_input": "2026-10-05T00:33:00.317516Z", + "iopub.status.busy": "2026-10-05T00:33:00.317448Z", + "iopub.status.idle": "2026-10-05T00:33:00.336258Z", + "shell.execute_reply": "2026-10-05T00:33:00.335888Z" } }, "outputs": [ @@ -224,10 +224,10 @@ "id": "mfuvobgjki", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.419061Z", - "iopub.status.busy": "2026-08-31T22:35:36.419003Z", - "iopub.status.idle": "2026-08-31T22:35:36.487800Z", - "shell.execute_reply": "2026-08-31T22:35:36.487349Z" + "iopub.execute_input": "2026-10-05T00:33:00.337267Z", + "iopub.status.busy": "2026-10-05T00:33:00.337209Z", + "iopub.status.idle": "2026-10-05T00:33:00.875100Z", + "shell.execute_reply": "2026-10-05T00:33:00.874660Z" } }, "outputs": [ @@ -1085,10 +1085,10 @@ "id": "8585820e", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.488739Z", - "iopub.status.busy": "2026-08-31T22:35:36.488679Z", - "iopub.status.idle": "2026-08-31T22:35:36.509434Z", - "shell.execute_reply": "2026-08-31T22:35:36.509168Z" + "iopub.execute_input": "2026-10-05T00:33:00.876131Z", + "iopub.status.busy": "2026-10-05T00:33:00.876063Z", + "iopub.status.idle": "2026-10-05T00:33:00.897115Z", + "shell.execute_reply": "2026-10-05T00:33:00.896710Z" } }, "outputs": [ @@ -2164,10 +2164,10 @@ "id": "cell-xbar-all", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.510527Z", - "iopub.status.busy": "2026-08-31T22:35:36.510468Z", - "iopub.status.idle": "2026-08-31T22:35:36.520237Z", - "shell.execute_reply": "2026-08-31T22:35:36.519850Z" + "iopub.execute_input": "2026-10-05T00:33:00.898189Z", + "iopub.status.busy": "2026-10-05T00:33:00.898128Z", + "iopub.status.idle": "2026-10-05T00:33:00.907677Z", + "shell.execute_reply": "2026-10-05T00:33:00.907314Z" } }, "outputs": [ @@ -2715,10 +2715,10 @@ "id": "cell-xbar-all-plot", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.521035Z", - "iopub.status.busy": "2026-08-31T22:35:36.520980Z", - "iopub.status.idle": "2026-08-31T22:35:36.531401Z", - "shell.execute_reply": "2026-08-31T22:35:36.531092Z" + "iopub.execute_input": "2026-10-05T00:33:00.908574Z", + "iopub.status.busy": "2026-10-05T00:33:00.908523Z", + "iopub.status.idle": "2026-10-05T00:33:00.918938Z", + "shell.execute_reply": "2026-10-05T00:33:00.918666Z" } }, "outputs": [ @@ -4187,10 +4187,10 @@ "id": "cell-xbar-f1", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.532372Z", - "iopub.status.busy": "2026-08-31T22:35:36.532323Z", - "iopub.status.idle": "2026-08-31T22:35:36.537277Z", - "shell.execute_reply": "2026-08-31T22:35:36.536981Z" + "iopub.execute_input": "2026-10-05T00:33:00.919941Z", + "iopub.status.busy": "2026-10-05T00:33:00.919893Z", + "iopub.status.idle": "2026-10-05T00:33:00.924931Z", + "shell.execute_reply": "2026-10-05T00:33:00.924577Z" } }, "outputs": [ @@ -4288,10 +4288,10 @@ "id": "cell-xbar-f1-plot", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.538182Z", - "iopub.status.busy": "2026-08-31T22:35:36.538113Z", - "iopub.status.idle": "2026-08-31T22:35:36.546637Z", - "shell.execute_reply": "2026-08-31T22:35:36.546217Z" + "iopub.execute_input": "2026-10-05T00:33:00.925926Z", + "iopub.status.busy": "2026-10-05T00:33:00.925858Z", + "iopub.status.idle": "2026-10-05T00:33:00.934192Z", + "shell.execute_reply": "2026-10-05T00:33:00.933939Z" } }, "outputs": [ @@ -5313,10 +5313,10 @@ "id": "cell-xbar-f2", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.547444Z", - "iopub.status.busy": "2026-08-31T22:35:36.547392Z", - "iopub.status.idle": "2026-08-31T22:35:36.552523Z", - "shell.execute_reply": "2026-08-31T22:35:36.552195Z" + "iopub.execute_input": "2026-10-05T00:33:00.935204Z", + "iopub.status.busy": "2026-10-05T00:33:00.935151Z", + "iopub.status.idle": "2026-10-05T00:33:00.939926Z", + "shell.execute_reply": "2026-10-05T00:33:00.939670Z" } }, "outputs": [ @@ -5404,10 +5404,10 @@ "id": "cell-xbar-f2-plot", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.553379Z", - "iopub.status.busy": "2026-08-31T22:35:36.553312Z", - "iopub.status.idle": "2026-08-31T22:35:36.561758Z", - "shell.execute_reply": "2026-08-31T22:35:36.561424Z" + "iopub.execute_input": "2026-10-05T00:33:00.940968Z", + "iopub.status.busy": "2026-10-05T00:33:00.940912Z", + "iopub.status.idle": "2026-10-05T00:33:00.949422Z", + "shell.execute_reply": "2026-10-05T00:33:00.949057Z" } }, "outputs": [ @@ -6420,10 +6420,10 @@ "id": "cell-xbar-collapse", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.562551Z", - "iopub.status.busy": "2026-08-31T22:35:36.562497Z", - "iopub.status.idle": "2026-08-31T22:35:36.575014Z", - "shell.execute_reply": "2026-08-31T22:35:36.574676Z" + "iopub.execute_input": "2026-10-05T00:33:00.950404Z", + "iopub.status.busy": "2026-10-05T00:33:00.950351Z", + "iopub.status.idle": "2026-10-05T00:33:00.963132Z", + "shell.execute_reply": "2026-10-05T00:33:00.962765Z" } }, "outputs": [ @@ -7886,10 +7886,10 @@ "id": "cell-s-all", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.575920Z", - "iopub.status.busy": "2026-08-31T22:35:36.575869Z", - "iopub.status.idle": "2026-08-31T22:35:36.583878Z", - "shell.execute_reply": "2026-08-31T22:35:36.583640Z" + "iopub.execute_input": "2026-10-05T00:33:00.964098Z", + "iopub.status.busy": "2026-10-05T00:33:00.964043Z", + "iopub.status.idle": "2026-10-05T00:33:00.972472Z", + "shell.execute_reply": "2026-10-05T00:33:00.972136Z" } }, "outputs": [ @@ -8437,10 +8437,10 @@ "id": "cell-s-plot", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.584836Z", - "iopub.status.busy": "2026-08-31T22:35:36.584786Z", - "iopub.status.idle": "2026-08-31T22:35:36.593828Z", - "shell.execute_reply": "2026-08-31T22:35:36.593484Z" + "iopub.execute_input": "2026-10-05T00:33:00.973382Z", + "iopub.status.busy": "2026-10-05T00:33:00.973331Z", + "iopub.status.idle": "2026-10-05T00:33:00.982503Z", + "shell.execute_reply": "2026-10-05T00:33:00.982159Z" } }, "outputs": [ @@ -9858,10 +9858,10 @@ "id": "cell-s-f1", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.594695Z", - "iopub.status.busy": "2026-08-31T22:35:36.594643Z", - "iopub.status.idle": "2026-08-31T22:35:36.599572Z", - "shell.execute_reply": "2026-08-31T22:35:36.599309Z" + "iopub.execute_input": "2026-10-05T00:33:00.983426Z", + "iopub.status.busy": "2026-10-05T00:33:00.983366Z", + "iopub.status.idle": "2026-10-05T00:33:00.988427Z", + "shell.execute_reply": "2026-10-05T00:33:00.988054Z" } }, "outputs": [ @@ -9959,10 +9959,10 @@ "id": "cell-s-f2", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.600568Z", - "iopub.status.busy": "2026-08-31T22:35:36.600497Z", - "iopub.status.idle": "2026-08-31T22:35:36.605287Z", - "shell.execute_reply": "2026-08-31T22:35:36.604940Z" + "iopub.execute_input": "2026-10-05T00:33:00.989345Z", + "iopub.status.busy": "2026-10-05T00:33:00.989283Z", + "iopub.status.idle": "2026-10-05T00:33:00.994079Z", + "shell.execute_reply": "2026-10-05T00:33:00.993765Z" } }, "outputs": [ @@ -10071,10 +10071,10 @@ "id": "cell-imr-both", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.606090Z", - "iopub.status.busy": "2026-08-31T22:35:36.606040Z", - "iopub.status.idle": "2026-08-31T22:35:36.611882Z", - "shell.execute_reply": "2026-08-31T22:35:36.611478Z" + "iopub.execute_input": "2026-10-05T00:33:00.995056Z", + "iopub.status.busy": "2026-10-05T00:33:00.995002Z", + "iopub.status.idle": "2026-10-05T00:33:01.001100Z", + "shell.execute_reply": "2026-10-05T00:33:01.000683Z" } }, "outputs": [ @@ -10101,10 +10101,10 @@ "id": "cell-imr-both-plot", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.612670Z", - "iopub.status.busy": "2026-08-31T22:35:36.612624Z", - "iopub.status.idle": "2026-08-31T22:35:36.744273Z", - "shell.execute_reply": "2026-08-31T22:35:36.743936Z" + "iopub.execute_input": "2026-10-05T00:33:01.001954Z", + "iopub.status.busy": "2026-10-05T00:33:01.001908Z", + "iopub.status.idle": "2026-10-05T00:33:01.126856Z", + "shell.execute_reply": "2026-10-05T00:33:01.126444Z" } }, "outputs": [ @@ -11316,7 +11316,7 @@ "size": 10 }, "showarrow": false, - "text": "UPL = 50.98 | CL = 49.30 | LPL = 47.61", + "text": "UPL = 50.98 | CL = 49.30 | LPL = 47.62", "x": 1.0, "xanchor": "right", "xref": "x3 domain", @@ -11394,8 +11394,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 51.54233333333333, - "y1": 52.69566666666667, + "y0": 51.54266666666667, + "y1": 52.69533333333333, "yref": "y" }, { @@ -11409,8 +11409,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 52.69566666666667, - "y1": 53.27233333333333, + "y0": 52.69533333333333, + "y1": 53.27166666666667, "yref": "y" }, { @@ -11424,8 +11424,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 50.96566666666667, - "y1": 51.54233333333333, + "y0": 50.96633333333333, + "y1": 51.54266666666667, "yref": "y" }, { @@ -11439,8 +11439,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 53.27233333333333, - "y1": 53.849, + "y0": 53.27166666666667, + "y1": 53.848, "yref": "y" }, { @@ -11455,7 +11455,7 @@ "x1": 1, "xref": "x domain", "y0": 50.39, - "y1": 50.96566666666667, + "y1": 50.96633333333333, "yref": "y" }, { @@ -11468,8 +11468,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 53.849, - "y1": 53.849, + "y0": 53.848, + "y1": 53.848, "yref": "y" }, { @@ -11688,7 +11688,7 @@ "x0": 0, "x1": 1, "xref": "x3 domain", - "y0": 47.614, + "y0": 47.615, "y1": 48.17466666666667, "yref": "y3" }, @@ -11716,8 +11716,8 @@ "x0": 0, "x1": 1, "xref": "x3 domain", - "y0": 47.614, - "y1": 47.614, + "y0": 47.615, + "y1": 47.615, "yref": "y3" }, { @@ -13318,10 +13318,10 @@ "id": "cell-imr-f1", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.745267Z", - "iopub.status.busy": "2026-08-31T22:35:36.745213Z", - "iopub.status.idle": "2026-08-31T22:35:36.751094Z", - "shell.execute_reply": "2026-08-31T22:35:36.750807Z" + "iopub.execute_input": "2026-10-05T00:33:01.127937Z", + "iopub.status.busy": "2026-10-05T00:33:01.127875Z", + "iopub.status.idle": "2026-10-05T00:33:01.134020Z", + "shell.execute_reply": "2026-10-05T00:33:01.133657Z" } }, "outputs": [ @@ -13349,10 +13349,10 @@ "id": "cell-imr-f1-plot", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.751944Z", - "iopub.status.busy": "2026-08-31T22:35:36.751892Z", - "iopub.status.idle": "2026-08-31T22:35:36.811553Z", - "shell.execute_reply": "2026-08-31T22:35:36.811101Z" + "iopub.execute_input": "2026-10-05T00:33:01.134917Z", + "iopub.status.busy": "2026-10-05T00:33:01.134859Z", + "iopub.status.idle": "2026-10-05T00:33:01.209742Z", + "shell.execute_reply": "2026-10-05T00:33:01.209342Z" } }, "outputs": [ @@ -13363,6 +13363,130 @@ "plotlyServerURL": "https://plot.ly" }, "data": [ + { + "hoverinfo": "skip", + "line": { + "color": "steelblue", + "width": 1.5 + }, + "mode": "lines", + "name": "X_F1_1 (lanes)", + "opacity": 0.8, + "showlegend": false, + "type": "scatter", + "x": [ + 0, + 1, + 2, + 3, + 4, + 5, + 6, + 7, + 8, + 9, + 10, + 11, + 12, + 13, + 14, + 15, + 16, + 17, + 18, + 19, + 20, + 21, + 22, + 23, + 23, + 24, + 25, + 26, + 27, + 28, + 29, + 30, + 31, + 32, + 33, + 34, + 35, + 36, 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CL = 49.170", + "text": "n = 48
CL = 49.167", "x": 0.02, "xanchor": "left", "xref": "paper", @@ -23609,8 +24699,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 49.17, - "y1": 49.17 + "y0": 49.167, + "y1": 49.167 } ], "showlegend": false, @@ -24444,10 +25534,10 @@ "id": "cell-r5-s", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.931192Z", - "iopub.status.busy": "2026-08-31T22:35:36.931143Z", - "iopub.status.idle": "2026-08-31T22:35:36.942612Z", - "shell.execute_reply": "2026-08-31T22:35:36.942272Z" + "iopub.execute_input": "2026-10-05T00:33:01.328816Z", + "iopub.status.busy": "2026-10-05T00:33:01.328753Z", + "iopub.status.idle": "2026-10-05T00:33:01.340622Z", + "shell.execute_reply": "2026-10-05T00:33:01.340269Z" } }, "outputs": [ @@ -25857,10 +26947,10 @@ "id": "wr6n5l1c1s", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.943466Z", - "iopub.status.busy": "2026-08-31T22:35:36.943412Z", - "iopub.status.idle": "2026-08-31T22:35:36.946856Z", - "shell.execute_reply": "2026-08-31T22:35:36.946509Z" + "iopub.execute_input": "2026-10-05T00:33:01.341635Z", + "iopub.status.busy": "2026-10-05T00:33:01.341584Z", + "iopub.status.idle": "2026-10-05T00:33:01.345060Z", + "shell.execute_reply": "2026-10-05T00:33:01.344699Z" } }, "outputs": [ @@ -26183,10 +27273,10 @@ "id": "m11v99c87gg", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.947742Z", - "iopub.status.busy": "2026-08-31T22:35:36.947693Z", - "iopub.status.idle": "2026-08-31T22:35:36.951082Z", - "shell.execute_reply": "2026-08-31T22:35:36.950795Z" + "iopub.execute_input": "2026-10-05T00:33:01.345960Z", + "iopub.status.busy": "2026-10-05T00:33:01.345911Z", + "iopub.status.idle": "2026-10-05T00:33:01.349410Z", + "shell.execute_reply": "2026-10-05T00:33:01.349091Z" } }, "outputs": [ @@ -26451,10 +27541,10 @@ "id": "ap80cox9s0n", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.951943Z", - "iopub.status.busy": "2026-08-31T22:35:36.951891Z", - "iopub.status.idle": "2026-08-31T22:35:36.953373Z", - "shell.execute_reply": "2026-08-31T22:35:36.953058Z" + "iopub.execute_input": "2026-10-05T00:33:01.350310Z", + "iopub.status.busy": "2026-10-05T00:33:01.350254Z", + "iopub.status.idle": "2026-10-05T00:33:01.351756Z", + "shell.execute_reply": "2026-10-05T00:33:01.351418Z" } }, "outputs": [ @@ -26488,10 +27578,10 @@ "id": "dv2jt9t46l", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.954153Z", - "iopub.status.busy": "2026-08-31T22:35:36.954102Z", - "iopub.status.idle": "2026-08-31T22:35:36.956261Z", - "shell.execute_reply": "2026-08-31T22:35:36.955910Z" + "iopub.execute_input": "2026-10-05T00:33:01.352597Z", + "iopub.status.busy": "2026-10-05T00:33:01.352548Z", + "iopub.status.idle": "2026-10-05T00:33:01.355004Z", + "shell.execute_reply": "2026-10-05T00:33:01.354648Z" } }, "outputs": [ @@ -26511,6 +27601,7 @@ " factor 2: observed=['F2_1', 'F2_2']\n", "\n", " Structure: Complete structure\n", + " Series length: T=8. Sigma rests on within-cell replication.\n", "\n", " Available analyses (ADS 1):\n", " Primary: Histogram, Xbar *, S, X, mR\n", @@ -26549,10 +27640,10 @@ "id": "yuxsxifg1", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.957051Z", - "iopub.status.busy": "2026-08-31T22:35:36.957002Z", - "iopub.status.idle": "2026-08-31T22:35:36.971092Z", - "shell.execute_reply": "2026-08-31T22:35:36.970733Z" + "iopub.execute_input": "2026-10-05T00:33:01.355832Z", + "iopub.status.busy": "2026-10-05T00:33:01.355785Z", + "iopub.status.idle": "2026-10-05T00:33:01.369636Z", + "shell.execute_reply": "2026-10-05T00:33:01.369285Z" } }, "outputs": [ @@ -28026,10 +29117,10 @@ "id": "p5vee6451q", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:36.971963Z", - "iopub.status.busy": "2026-08-31T22:35:36.971914Z", - "iopub.status.idle": "2026-08-31T22:35:36.980784Z", - "shell.execute_reply": "2026-08-31T22:35:36.980486Z" + "iopub.execute_input": "2026-10-05T00:33:01.370541Z", + "iopub.status.busy": "2026-10-05T00:33:01.370488Z", + "iopub.status.idle": "2026-10-05T00:33:01.379370Z", + "shell.execute_reply": "2026-10-05T00:33:01.379092Z" } }, "outputs": [ @@ -29448,10 +30539,10 @@ "id": "o98awbkc9b", "metadata": { "execution": { - 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"mode": "lines+markers", + "mode": "markers", "name": "mR_F1_3", "opacity": 0.8, "showlegend": false, @@ -33044,7 +34893,7 @@ "size": 10 }, "showarrow": false, - "text": "UPL = 2.350 | CL = 0.719 | LPL = 0.000", + "text": "UPL = 2.349 | CL = 0.719 | LPL = 0.000", "x": 1.0, "xanchor": "right", "xref": "x domain", @@ -33072,7 +34921,7 @@ "size": 10 }, "showarrow": false, - "text": "UPL = 2.266 | CL = 0.693 | LPL = 0.000", + "text": "UPL = 2.265 | CL = 0.693 | LPL = 0.000", "x": 1.0, "xanchor": "right", "xref": "x2 domain", @@ -33100,7 +34949,7 @@ "size": 10 }, "showarrow": false, - "text": "UPL = 2.120 | CL = 0.649 | LPL = 0.000", + "text": "UPL = 2.119 | CL = 0.649 | LPL = 0.000", "x": 1.0, "xanchor": "right", "xref": "x3 domain", @@ -33224,8 +35073,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 0.17533333333333323, - "y1": 1.2626666666666666, + "y0": 0.17566666666666653, + "y1": 1.2623333333333333, "yref": "y" }, { @@ -33239,8 +35088,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 1.2626666666666666, - "y1": 1.8063333333333333, + "y0": 1.2623333333333333, + "y1": 1.8056666666666668, "yref": "y" }, { @@ -33254,8 +35103,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": -0.3683333333333335, - "y1": 0.17533333333333323, + "y0": -0.3676666666666669, + "y1": 0.17566666666666653, "yref": "y" }, { @@ -33269,8 +35118,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 1.8063333333333333, - "y1": 2.35, + "y0": 1.8056666666666668, + "y1": 2.349, "yref": "y" }, { @@ -33285,7 +35134,7 @@ "x1": 1, "xref": "x domain", "y0": 0.0, - "y1": -0.3683333333333335, + "y1": -0.3676666666666669, "yref": "y" }, { @@ -33298,8 +35147,8 @@ "x0": 0, "x1": 1, "xref": "x domain", - "y0": 2.35, - "y1": 2.35, + "y0": 2.349, + "y1": 2.349, "yref": "y" }, { @@ -33355,8 +35204,8 @@ "x0": 0, "x1": 1, "xref": "x2 domain", - "y0": 0.16866666666666663, - "y1": 1.2173333333333334, + "y0": 0.16899999999999993, + "y1": 1.217, "yref": "y2" }, { @@ -33370,8 +35219,8 @@ "x0": 0, "x1": 1, "xref": "x2 domain", - "y0": 1.2173333333333334, - "y1": 1.7416666666666667, + "y0": 1.217, + "y1": 1.741, "yref": "y2" }, { @@ -33385,8 +35234,8 @@ "x0": 0, "x1": 1, "xref": "x2 domain", - "y0": -0.3556666666666667, - "y1": 0.16866666666666663, + "y0": -0.3550000000000001, + "y1": 0.16899999999999993, "yref": "y2" }, { @@ -33400,8 +35249,8 @@ "x0": 0, "x1": 1, "xref": "x2 domain", - "y0": 1.7416666666666667, - "y1": 2.266, + "y0": 1.741, + "y1": 2.265, "yref": "y2" }, { @@ -33416,7 +35265,7 @@ "x1": 1, "xref": "x2 domain", "y0": 0.0, - "y1": -0.3556666666666667, + "y1": -0.3550000000000001, "yref": "y2" }, { @@ -33429,8 +35278,8 @@ "x0": 0, "x1": 1, "xref": "x2 domain", - "y0": 2.266, - "y1": 2.266, + "y0": 2.265, + "y1": 2.265, "yref": "y2" }, { @@ -33486,8 +35335,8 @@ "x0": 0, "x1": 1, "xref": "x3 domain", - "y0": 0.15866666666666668, - "y1": 1.1393333333333333, + "y0": 0.15899999999999997, + "y1": 1.139, "yref": "y3" }, { @@ -33501,8 +35350,8 @@ "x0": 0, "x1": 1, "xref": "x3 domain", - "y0": 1.1393333333333333, - "y1": 1.6296666666666666, + "y0": 1.139, + "y1": 1.629, "yref": "y3" }, { @@ -33516,8 +35365,8 @@ "x0": 0, "x1": 1, "xref": "x3 domain", - "y0": -0.33166666666666667, - "y1": 0.15866666666666668, + "y0": -0.33100000000000007, + "y1": 0.15899999999999997, "yref": "y3" }, { @@ -33531,8 +35380,8 @@ "x0": 0, "x1": 1, "xref": "x3 domain", - "y0": 1.6296666666666666, - "y1": 2.12, + "y0": 1.629, + "y1": 2.119, "yref": "y3" }, { @@ -33547,7 +35396,7 @@ "x1": 1, "xref": "x3 domain", "y0": 0.0, - "y1": -0.33166666666666667, + "y1": -0.33100000000000007, "yref": "y3" }, { @@ -33560,8 +35409,8 @@ "x0": 0, "x1": 1, "xref": "x3 domain", - "y0": 2.12, - "y1": 2.12, + "y0": 2.119, + "y1": 2.119, "yref": "y3" }, { @@ -34627,10 +36476,10 @@ "id": "owf1q5kjet", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:37.115138Z", - "iopub.status.busy": "2026-08-31T22:35:37.115076Z", - "iopub.status.idle": "2026-08-31T22:35:37.133061Z", - "shell.execute_reply": "2026-08-31T22:35:37.132644Z" + "iopub.execute_input": "2026-10-05T00:33:01.521341Z", + "iopub.status.busy": "2026-10-05T00:33:01.521282Z", + "iopub.status.idle": "2026-10-05T00:33:01.531042Z", + "shell.execute_reply": "2026-10-05T00:33:01.530594Z" } }, "outputs": [ @@ -35564,10 +37413,10 @@ "id": "pum8a95hbg", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:37.133990Z", - "iopub.status.busy": "2026-08-31T22:35:37.133933Z", - "iopub.status.idle": "2026-08-31T22:35:37.140939Z", - "shell.execute_reply": "2026-08-31T22:35:37.140568Z" + "iopub.execute_input": "2026-10-05T00:33:01.531990Z", + "iopub.status.busy": "2026-10-05T00:33:01.531930Z", + "iopub.status.idle": "2026-10-05T00:33:01.552191Z", + "shell.execute_reply": "2026-10-05T00:33:01.551834Z" } }, "outputs": [ @@ -36467,10 +38316,10 @@ "id": "j28xv0lfrhl", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:37.141769Z", - "iopub.status.busy": "2026-08-31T22:35:37.141719Z", - "iopub.status.idle": "2026-08-31T22:35:37.148269Z", - "shell.execute_reply": "2026-08-31T22:35:37.147936Z" + "iopub.execute_input": "2026-10-05T00:33:01.553344Z", + "iopub.status.busy": "2026-10-05T00:33:01.553292Z", + "iopub.status.idle": "2026-10-05T00:33:01.560099Z", + "shell.execute_reply": "2026-10-05T00:33:01.559743Z" } }, "outputs": [ @@ -37375,10 +39224,10 @@ "id": "xjrxv76d5t9", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:37.149158Z", - "iopub.status.busy": "2026-08-31T22:35:37.149105Z", - "iopub.status.idle": "2026-08-31T22:35:37.159620Z", - "shell.execute_reply": "2026-08-31T22:35:37.159202Z" + "iopub.execute_input": "2026-10-05T00:33:01.561047Z", + "iopub.status.busy": "2026-10-05T00:33:01.560996Z", + "iopub.status.idle": "2026-10-05T00:33:01.572162Z", + "shell.execute_reply": "2026-10-05T00:33:01.571761Z" } }, "outputs": [ @@ -38380,10 +40229,10 @@ "id": "2u7o2kv68w6", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:37.160455Z", - "iopub.status.busy": "2026-08-31T22:35:37.160403Z", - "iopub.status.idle": "2026-08-31T22:35:37.167521Z", - "shell.execute_reply": "2026-08-31T22:35:37.167128Z" + "iopub.execute_input": "2026-10-05T00:33:01.573166Z", + "iopub.status.busy": "2026-10-05T00:33:01.573110Z", + "iopub.status.idle": "2026-10-05T00:33:01.580476Z", + "shell.execute_reply": "2026-10-05T00:33:01.580034Z" } }, "outputs": [ @@ -39311,10 +41160,10 @@ "id": "zu1qimy304j", "metadata": { "execution": { - "iopub.execute_input": "2026-08-31T22:35:37.168365Z", - "iopub.status.busy": "2026-08-31T22:35:37.168314Z", - "iopub.status.idle": "2026-08-31T22:35:37.169983Z", - "shell.execute_reply": "2026-08-31T22:35:37.169707Z" + "iopub.execute_input": "2026-10-05T00:33:01.581382Z", + "iopub.status.busy": "2026-10-05T00:33:01.581331Z", + "iopub.status.idle": "2026-10-05T00:33:01.583084Z", + "shell.execute_reply": "2026-10-05T00:33:01.582741Z" } }, "outputs": [ diff --git a/docs/user-guide/chart-types.md b/docs/user-guide/chart-types.md index 3c350e4..72e5584 100644 --- a/docs/user-guide/chart-types.md +++ b/docs/user-guide/chart-types.md @@ -19,7 +19,7 @@ Use the `value` parameter to chart residuals instead of the response: | Residual | Chart | Purpose | |----------|-------|---------| -| **R2** | S or X | Check within-group variation stability | +| **R2** | S or X | Check that the unexplained noise is stable | | **R3** | Xbar, S, or X | Detect factor × time interactions | | **R4** | Xbar, S, or X | Detect time effects | | **R5** | Xbar, S, or X | Detect factor effects | @@ -128,11 +128,14 @@ Not all charts are valid for all Design States: | Chart | DS 1 | DS 2 | DS 3 | DS 4 | DS 5-6 | |-------|-------|-------|-------|-------|---------| -| Xbar | ✅ | ✅ | ✅ | ❌ | ❌ | -| S | ✅ | ✅ | ✅ | ❌ | ❌ | +| Xbar | ✅ | ✅ | ✅ | ✅ | ✅ | +| S | ✅ | ✅ | ✅ | ✅ | ✅ | | X | ✅ | ✅ | ✅ | ✅ | ✅ | | mR | ✅ | ✅ | ✅ | ✅ | ✅ | +DS 4–6 collapse to DS 1–3 once empty cells are dropped, and their charts follow (Xbar is +recommended for DS 1, 3, 4 and 6; X for DS 2 and 5). + **Residual availability** depends on DS. Use `study.residuals` to check: ```python @@ -140,7 +143,7 @@ print(f"Valid charts: {study.valid_charts}") print(f"Available residuals: {study.residuals}") ``` -**Note on R2**: DS 2 and 5 use the moving average method; DS 1, 3, 4, 6 use within-cell deviation (R2 = Y - Ȳ_kt). See [VAS Residuals](residuals.md) for details. +**Note on R2**: DS 1 and 4 (every cell replicated) use the within-cell deviation, R2 = Y - Ȳ_kt. DS 2, 3, 5 and 6 (any one-observation cell) remove the condition and period effects, difference what is left along the condition-then-time sequence, and divide by twice the R2 scale factor. See [VAS Residuals](residuals.md) for details. ## Companion Charts @@ -208,12 +211,13 @@ result.interactions # Dict of interaction terms Plots the **mean** of each subgroup (factor level at each time point). -- **Centerline**: Grand mean (Y̅) -- **Control Limits**: Based on within-subgroup variation +- **Centerline**: Grand mean (Y̅), the unweighted mean of the cell means, each cell counted once. In DS 3, one-observation subgroups count toward it (per-stratum center lines included) +- **Control Limits**: Based on within-subgroup variation; one-observation subgroups have none, so they do not enter the limits - **Interpretation**: Points beyond limits indicate subgroups with unusual means -!!! note "Limits for effect-carrying residuals (R4/R5)" - When charting R4, R5, or their recentered variants (RCR4, RCR5) on Xbar, limits are based on **R2's within-group standard deviation** (Sbar), not the plotted residual's own standard deviation. This matters when `by` collapses factors — e.g., `by=['factor 1']` in a two-factor study. At collapsed groupings, R5's within-group std would include between-cell variance from the collapsed dimension, inflating limits. Using R2's Sbar isolates within-cell noise as the limit basis. At the full RSG level (all factors in `by`), R5's within-group std equals R2's, so there is no difference. This follows Dr. Tom Bishop's VAS methodology. +:::{note} Limits for effect-carrying residuals (R4/R5) +When charting R4, R5, or their recentered variants (RCR4, RCR5) on Xbar, limits are based on **R2's within-group standard deviation** (Sbar), not the plotted residual's own standard deviation. This matters when `by` collapses factors — e.g., `by=['factor 1']` in a two-factor study. At collapsed groupings, R5's within-group std would include between-cell variance from the collapsed dimension, inflating limits. Using R2's Sbar isolates the unexplained noise as the limit basis. At the full RSG level (all factors in `by`), R5's within-group std equals R2's, so there is no difference. This follows Dr. Tom Bishop's VAS methodology. +::: ### The S Chart @@ -223,11 +227,12 @@ Plots the **standard deviation** of each subgroup. - **Control Limits**: Based on chi-square distribution - **Interpretation**: Points beyond limits indicate subgroups with unusual variation -!!! note "S chart with effect residuals (R3/R4/R5)" - When charting an effect residual on S, the data points show R2's - within-group standard deviation, not the requested residual's. The S chart always - measures within-cell noise stability. See [How Effect Residuals Are - Charted](residuals.md#how-effect-residuals-are-charted). +:::{note} S chart with effect residuals (R3/R4/R5) +When charting an effect residual on S, the data points show R2's +within-group standard deviation, not the requested residual's. The S chart always +measures the stability of the noise (R2). See [How Effect Residuals Are +Charted](residuals.md#how-effect-residuals-are-charted). +::: ### Reading Order @@ -241,8 +246,8 @@ Plots the **standard deviation** of each subgroup. Plots each individual observation. -- **Centerline**: Average of all observations (X̅) -- **Control Limits**: X̅ ± (3/1.128) × R̅, about X̅ ± 2.66 × R̅ (R̅ is the average moving range) +- **Centerline**: Average of all observations (X̅) (10-1 manual Eqs 12-7, 12-9) +- **Control Limits**: X̅ ± (3/1.128) × R̅, about X̅ ± 2.66 × R̅ (R̅ is the average of the T − 1 moving ranges; Eqs 12-1, 12-10, 12-11) - **Interpretation**: Points beyond limits indicate special causes ### The mR (Moving Range) Chart @@ -250,7 +255,7 @@ Plots each individual observation. Plots the absolute difference between consecutive observations. - **Centerline**: Average moving range (R̅) -- **UCL**: (1 + 3 × 0.8525/1.128) × R̅, about 3.267 × R̅ +- **UCL**: (1 + 3 × 0.8525/1.128) × R̅, about 3.267 × R̅ (10-1 manual Eq 12-5) - **LCL**: 0 (range cannot be negative) - **Interpretation**: Large ranges indicate sudden changes @@ -343,7 +348,7 @@ only the lane order, and reports which results move. |-------|-------|--------------------------------| | "These subgroups are not one process" | `chart='X', by=[]` | Yes. The signal count never reaches zero under any ordering tested. | | "This transition is a signal" | `chart='mR', by=[]` | No. Which transitions are flagged depends on which lanes are adjacent. | -| "Subgroup *k* differs in level" | `chart='Xbar', by=['lane'], value='R5', recentered=True` | The points, yes: each is a subgroup mean. The limits, not entirely in DS 2 and 3: they are set from R2, which is built from the same lane-major sequence. In DS 1, R2 is within-cell and carries no order. | +| "Subgroup *k* differs in level" | `chart='Xbar', by=['lane'], value='R5', recentered=True` | The points, yes: each is a subgroup mean. The limits, not entirely in DS 2 and 3: they are set from R2, which differences the condition-and-period-adjusted series along the same lane-major sequence. The level difference between lanes no longer enters R2, but which observations are paired still depends on lane order. In DS 1, R2 is within-cell and carries no order. | | "Subgroup *k* is stable on its own" | `phased=True`, or `by=['lane']` | Yes. Only that subgroup's own ranges enter. | So a boundary signal should be read as evidence along the path, and claims about the @@ -365,24 +370,31 @@ result = study.execute(chart='X', by=['lane'], value='R4') result = study.execute(chart='X', by=['lane'], value='R4', recentered=True) ``` -Re-centering uses: -- R4: RCR4 = R4 + Y̅_t (adds back time mean) -- R5: RCR5 = R5 + Y̅_k (adds back factor mean) +Re-centering adds back the grand mean, RCR = R + Y̅ (Bishop's 10-1 manual, Eq 14-26, for R1 +and R3–R6), so a re-centered chart plots the effect plus R2 on the measurement scale. The +chart shifts by Y̅; the limit width is unchanged. RCR2 is the exception: Y̅_kt + R2. Chart +period effects from R4; an Xbar of RCR3 by period is flat, because the interaction sums to +zero over conditions. ## Decision Tree ``` Do you have factors? ├── No → Do you have time? -│ └── Yes → DS 6: Use X +│ └── Yes → How many observations per time point? +│ ├── Two or more at every point → DS 1: Xbar-S +│ ├── One at some points, more at others → DS 3: Xbar-S (recommended) +│ └── One at every point → DS 2: X └── Yes → Do you have time? ├── No → Use Xbar to compare factors └── Yes → Do you have replication (n>=2 per cell)? - ├── All cells → DS 1: Full Xbar-S + VAS residuals - ├── Some cells → DS 3: Xbar-S with MA2-based limits + limited VAS - └── No cells → DS 2: Xbar-S with MR-based limits + ├── All cells → DS 1: Full Xbar-S + VAS residuals (R2 within-cell) + ├── Some cells → DS 3: Xbar-S (recommended) + VAS residuals (R2 by scaled difference) + └── No cells → DS 2: X (recommended) + VAS residuals (R2 by scaled difference) ``` +VAS residuals (R1–R6) need both factors and time. + ## Summary | Question | Chart | Signal Meaning | diff --git a/docs/user-guide/formulation.md b/docs/user-guide/formulation.md index c3a9b8e..abf7ffa 100644 --- a/docs/user-guide/formulation.md +++ b/docs/user-guide/formulation.md @@ -395,7 +395,7 @@ This tells you: the plan called for full replication across 480 cells. Three cel ### `study.capability()` -Assesses process capability against specification limits (Bishop Ch. 16). Returns both **current capability** (Pp/Ppk, based on overall variation) and **potential capability** (Cp/Cpk, based on R2 within-cell noise only). +Assesses process capability against specification limits (Bishop Ch. 16). Returns both **current capability** (Pp/Ppk, based on overall variation) and **potential capability** (Cp/Cpk, based on the R2 noise only). ```python from processbehavior import SpecLimits @@ -416,13 +416,18 @@ cap.plot(values=study.dataset[study.response].dropna().values) | Metric | Based On | Meaning | |--------|----------|---------| | **Pp/Ppk** | Overall σ̂ (all variation) | Current capability — process as-is | -| **Cp/Cpk** | R2 σ̂ (within-cell noise only) | Potential capability — achievable if all assignable causes are eliminated | +| **Cp/Cpk** | R2 σ̂ = SR2 / c4(NR2) (noise only; 10-1 manual Eq 16-10) | Potential capability — achievable if all assignable causes are eliminated | -Potential capability (Cp/Cpk) requires VAS residuals (factors + time). If unavailable, `cap.potential_unavailable_reason` explains why. +The potential values are ȳ + R2. Potential CPL/CPU are measured from their mean, +`cap.potential_center` (ȳ + mean of R2), and the potential chart's center line sits there. +In ADS 1, R2 averages to zero and `potential_center` equals ȳ; in ADS 2 and 3 it differs +slightly. + +Potential capability (Cp/Cpk) requires VAS residuals (factors + time). If unavailable, including when R2 itself is unavailable for the layout, `cap.potential_unavailable_reason` explains why. ### `study.loss_function()` -Decomposes expected loss into five components using the Taguchi Loss Function (Bishop Ch. 15). Identifies the largest sources of variation as a Pareto analysis. +Decomposes expected loss into five components using the Taguchi Loss Function (Bishop Ch. 15; equation numbers below are from Bishop's VAS documentation manual dated 10-1-2026). Identifies the largest sources of variation as a Pareto analysis. It needs R2, so it raises `ValidationError` when R2 is unavailable for the layout. ```python # Use grand mean as target (centering = 0) @@ -451,12 +456,14 @@ loss.plot(structured=True) # Expands PDC into per-factor components | Component | Formula | What It Captures | |-----------|---------|-----------------| | **Centering** | (Ȳ - Target)² | Loss from being off-target | -| **Unexplained** | Within-cell variance | Irreducible noise (R2) | +| **Unexplained** | ADS 1: average of the cell variances, (1/KT)·ΣS²kt (Eq 15-16). ADS 2/3: S²R2, the sample variance of R2 (Eq 15-17) | Irreducible noise (R2) | | **PDC** | Between-condition variance | Process design condition main effects (R5) | | **Time** | Between-time variance | Time period effects | -| **Interaction** | Factor × time variance | How factor effects change over time | +| **Interaction** | ADS 1: average squared interaction effect (Eq 15-16). ADS 2/3: what the other parts leave of the total, S² − PDC − Time − Unexplained, set to 0 if negative (Eqs 15-18..15-20) | How factor effects change over time | -These five components always sum to the total expected loss. The largest percentage identifies where to focus improvement efforts. +S² is the sample variance of all observations. The total is the sum of the five components; +in ADS 2 and 3 it equals (Ȳ - Target)² + S², unless the interaction remainder was negative +and set to 0. The largest percentage identifies where to focus improvement efforts. ## Best Practices diff --git a/docs/user-guide/residuals.md b/docs/user-guide/residuals.md index 5a4678a..2232479 100644 --- a/docs/user-guide/residuals.md +++ b/docs/user-guide/residuals.md @@ -1,24 +1,24 @@ # VAS Residuals -Dr. Thomas A. Bishop's **Variance Analysis System (VAS)** decomposes total variation into meaningful components. ProcessBehavior calculates six residuals (R1-R6) that help answer different analytical questions. +Dr. Thomas A. Bishop's **Variation Analysis System (VAS)** decomposes total variation into meaningful components. ProcessBehavior calculates six residuals (R1-R6) that help answer different analytical questions. Equation numbers on this page refer to Bishop's VAS documentation manual dated 10-1-2026. ## The Residual Hierarchy | Residual | Name | Formula | Questions Answered | |----------|------|---------|-------------------| | **R1** | Response Centered at 0 | Y - Y̅ | How far is each point from the overall mean? | -| **R2** | Within-cell | Y - Y̅kt | Is measurement variation stable? | -| **R3** | Interaction | Y - Y̅k - Y̅t + Y̅ | Do factor effects change over time? | +| **R2** | Unexplained (noise) | Y - Y̅kt (DS 1); scaled difference of the effect-adjusted series (DS 2, 3) — see [R2](#r2-unexplained-residuals) | Is measurement variation stable? | +| **R3** | Interaction | (Y̅kt - Y̅k - Y̅t + Y̅) + R2 | Do factor effects change over time? | | **R4** | Time Main Effect | Y̅t - Y̅ + R2 | Are there time trends or shifts? | | **R5** | Design Condition Main Effect | Y̅k - Y̅ + R2 | Do process design conditions differ from each other? | | **R6** | Design Factor Main Effect | αi + R2 | Does a specific design factor have a significant effect? | Where: - Y = individual observation -- Y̅ = grand mean -- Y̅k = mean for factor level k -- Y̅t = mean at time t -- Y̅kt = mean for factor k at time t (cell mean) +- Y̅ = grand mean: the mean of the cell means, each cell counted once (10-1 manual Eq 10-10) +- Y̅k = mean for factor level k: the mean of that level's cell means +- Y̅t = mean at time t: the mean of that period's cell means +- Y̅kt = mean for factor k at time t (cell mean, Eq 10-8) ## Accessing Residuals @@ -44,7 +44,7 @@ print(result.residuals.head()) **Purpose**: View the original measurements as ± about zero, so the total range of variation is read directly rather than against an arbitrary process mean. -**Formula**: R1 = Y - Y̅ (Bishop §13.1, *Centering the Original PM Data at 0*) +**Formula**: R1 = Y - Y̅ (Eq 14-2) R1 is a pure location shift — it subtracts the overall mean and changes nothing else. It is also the building block the other residuals are derived from, which makes it the @@ -67,28 +67,49 @@ result = study.execute(chart='Xbar', value='R1') **Interpretation**: - The centre line sits at 0 by construction - The spread is the total variation in the original data, read as ± about zero -- Limits use the within-cell noise floor, as all residual charts do, so points falling +- Limits use the noise floor (R2), as all residual charts do, so points falling outside them mark variation the decomposition will attribute to time, condition, or interaction **Availability**: Bishop notes R1 can be calculated for data produced by all six sampling design states. -## R2: Within-Cell Residuals +(r2-unexplained-residuals)= +## R2: Unexplained Residuals -**Purpose**: Assess measurement/within-subgroup variation. +**Purpose**: Assess the unexplained (noise) variation: what is left once the process mean, +the condition and period effects and their interaction are accounted for (the interaction +exactly in DS 1, approximately in DS 2 and 3, where differencing the adjusted series removes +interaction that changes smoothly over time). **Formula by DS**: -- **DS 1 (Full Replication)**: R2 = Y - Y̅kt (exact within-cell deviation) -- **DS 2 (No Replication)**: R2 = (Yj - Yj-1) / 2 (backward 2-point moving average) -- **DS 3 (Partial)**: same moving average as DS 2, over the full sequence +- **DS 1 (Full Replication)**: R2 = Y - Y̅kt, the deviation from the cell mean (Eq 14-3) +- **DS 2 (No Replication)** and **DS 3 (Partial)**: with any one-observation subgroup there is + no within-cell deviation to use, so R2 is built from the whole series in three steps + (Eqs 14-4..14-8 for DS 2, 14-9..14-13 for DS 3, 5 and 6): + 1. Remove the process mean and the condition and period effects: + Z = Y - Y̅k - Y̅t + Y̅ (Y̅k, Y̅t and Y̅ are + unweighted means of cell means). + 2. Difference Z along the condition-then-time sequence (the canonical lane-major order, + running across condition boundaries with no grouping). Only the first observation has + no value. + 3. Divide by twice the **R2 scale factor** c(K, M), computed from the layout: + K is the number of process design conditions present and M the number of observations + (M = KT in DS 2). + +Because Z carries no condition or period effect, the step from one condition's last period +to the next condition's first period no longer carries the level difference between +conditions, and a trend common to all conditions is not read as noise. The scale factor puts +R2 on the noise (sigma) scale, so the standard deviation of R2 estimates sigma directly. +Internally this method is named `ma2`: Bishop's step is a size-2 moving average of Z, and +R2j is Zj minus that average, divided by c. **Chart**: S chart with `value='R2'` (for replicated data) or X ```python -# Chart the within-cell variation +# Chart the unexplained (noise) variation result = study.execute(chart='S', value='R2') -fig = result.plot(show_zones=True, title='Within-Cell Variation') +fig = result.plot(show_zones=True, title='Unexplained Variation (R2)') ``` **Interpretation**: @@ -100,9 +121,10 @@ fig = result.plot(show_zones=True, title='Within-Cell Variation') **Purpose**: Detect factor × time interactions. -**Formula**: R3 = Y - Y̅k - Y̅t + Y̅ +**Formula**: R3 = (Y̅kt - Y̅k - Y̅t + Y̅) + R2 (Eq 14-14) -This removes both main effects, leaving only the interaction. +This removes both main effects, leaving the interaction plus the unexplained noise. In DS 1, +where R2 = Y - Y̅kt, it reduces to Y - Y̅k - Y̅t + Y̅. **Chart**: X with `value='R3'` @@ -122,7 +144,7 @@ fig = result.plot(show_zones=True, title='Factor × Time Interactions') **Formula**: R4 = Y̅t - Y̅ + R2 -This combines the time effect with within-cell variation. +This combines the time effect with the unexplained noise (R2). **Chart**: X with `value='R4'` (stratified by factor), or Xbar with `value='R4'` (aggregated across factors). @@ -136,7 +158,7 @@ result = study.execute(chart='Xbar', value='R4') fig = result.plot(show_zones=True, title='Time Effects (Xbar)') ``` -When charting R4 on Xbar, limits use R2's Sbar (within-cell noise), not R4's own within-group std. See [Chart Types: Xbar limits note](chart-types.md#the-xbar-chart) for details. +When charting R4 on Xbar, limits use R2's Sbar (the noise), not R4's own within-group std. See [Chart Types: Xbar limits note](chart-types.md#the-xbar-chart) for details. **Interpretation**: - Signals in R4 → Process is changing over time @@ -150,7 +172,7 @@ When charting R4 on Xbar, limits use R2's Sbar (within-cell noise), not R4's own **Formula**: R5 = Y̅k - Y̅ + R2 -This combines the factor effect with within-cell variation. +This combines the factor effect with the unexplained noise (R2). **Chart**: X with `value='R5'` (stratified by factor), or Xbar with `value='R5'` (aggregated by factor). @@ -164,7 +186,7 @@ result = study.execute(chart='Xbar', value='R5') fig = result.plot(show_zones=True, title='Design Condition Main Effects (Xbar)') ``` -When charting R5 on Xbar, limits use R2's Sbar (within-cell noise), not R5's own within-group std. This prevents between-cell variance from collapsed dimensions from inflating limits. See [Chart Types: Xbar limits note](chart-types.md#the-xbar-chart) for details. +When charting R5 on Xbar, limits use R2's Sbar (the noise), not R5's own within-group std. This prevents between-cell variance from collapsed dimensions from inflating limits. See [Chart Types: Xbar limits note](chart-types.md#the-xbar-chart) for details. **Interpretation**: - Signals in R5 → Factors truly differ from each other @@ -173,7 +195,7 @@ When charting R5 on Xbar, limits use R2's Sbar (within-cell noise), not R5's own ## R6: Design Factor Main Effect Residuals -**Purpose**: Isolate a specific design factor's main effect combined with within-cell noise. +**Purpose**: Isolate a specific design factor's main effect combined with the unexplained noise (R2). **Formula**: R6 = αi + R2 @@ -208,7 +230,7 @@ When you chart an effect-carrying residual (R3, R4, or R5) on Xbar or S, the sys ### Why R2 sets the limits -R3, R4, and R5 contain structural effects by design — that's what makes them useful. But if R4's own standard deviation set the Xbar limits, the time effect would widen them, defeating the purpose of looking for signals *beyond* the expected variation. By substituting R2 (pure within-cell noise), the limits reflect only unexplained variation, making structural effects visible as signals. +R3, R4, and R5 contain structural effects by design — that's what makes them useful. But if R4's own standard deviation set the Xbar limits, the time effect would widen them, defeating the purpose of looking for signals *beyond* the expected variation. By substituting R2 (the unexplained noise: within-cell in DS 1, the scaled difference in DS 2 and 3), the limits reflect only unexplained variation, making structural effects visible as signals. ### Chart-by-chart behavior @@ -220,11 +242,11 @@ R3, R4, and R5 contain structural effects by design — that's what makes them u ### The S chart surprise -This is the most counterintuitive behavior: `execute(chart='S', value='R3')` plots R2's within-group standard deviation, not R3's. The S chart always answers "is within-cell noise stable?" regardless of which residual you request. This is correct — the S chart's job is to verify that the dispersion basis (R2) is stable before you interpret the Xbar chart above it. +This is the most counterintuitive behavior: `execute(chart='S', value='R3')` plots R2's within-group standard deviation, not R3's. The S chart always answers "is the noise stable?" regardless of which residual you request. This is correct — the S chart's job is to verify that the dispersion basis (R2) is stable before you interpret the Xbar chart above it. ### When does this matter? -The R2 substitution only matters when `by` collapses factors. At the full RSG level (all factors in `by`), the residual's within-group standard deviation equals R2's, so there is no visible difference. When you collapse — e.g., `by=['factor1']` in a two-factor study — R2 correctly isolates within-cell noise while the residual's own std would include between-cell variance from the collapsed dimension. +The R2 substitution only matters when `by` collapses factors. At the full RSG level (all factors in `by`), the residual's within-group standard deviation equals R2's, so there is no visible difference. When you collapse — e.g., `by=['factor1']` in a two-factor study — R2 still measures only the noise, while the residual's own std would include between-cell variance from the collapsed dimension. For X charts, there is no substitution. The moving range is always computed from the requested residual's own values. @@ -235,7 +257,7 @@ By default, residual charts are centered at zero. Use `recentered=True` to show ```python # Zero-centered (default) result = study.execute(chart='X', by=['lane'], value='R4') -# Centerline at 0, values show deviation from time mean +# Centerline at 0, values show the time effect plus R2 # Re-centered on original scale result = study.execute(chart='X', by=['lane'], value='R4', recentered=True) @@ -243,33 +265,47 @@ result = study.execute(chart='X', by=['lane'], value='R4', recentered=True) ``` Re-centering formulas: -- RCR3 = R3 + (Y̅k + Y̅t - Y̅) — adds back factor and time main effects -- RCR4 = R4 + Y̅t -- RCR5 = R5 + Y̅k +- RCR = R + Y̅ for R1, R3, R4, R5 and R6 (Eq 14-26) — each adds back the grand mean only, so a + re-centered chart is the zero-centered chart shifted onto the measurement scale +- RCR2 = Y̅kt + R2 — not part of Eq 14-26; in DS 1 this reconstructs Y -**Note on recentered moving ranges**: For recentered residuals on X charts, the moving range is computed from the non-recentered version (e.g., RCR3 uses MR from R3). This avoids structural jumps between factor levels inflating the moving ranges. +So an effect chart of RCR5 by condition, RCR4 by period, or RCR3 by subgroup plots that +effect plus R2 on the measurement scale. Chart period effects from R4: an Xbar of RCR3 by +period is flat, because the interaction sums to zero over conditions. Re-centering shifts the +chart by Y̅; the limit width still comes from R2 (Xbar/S) or the residual's own moving +ranges (X). + +**Note on recentered moving ranges**: For recentered residuals on X charts, the moving range is computed from the non-recentered version (e.g., RCR3 uses MR from R3). For RCR1 and RCR3–RCR6 this changes nothing, since re-centering adds a constant; for RCR2 it keeps the steps between cell means out of the moving ranges. ## Residual Availability by DS | DS | R1 | R2 | R3 | R4 | R5 | R6 | |-----|----|----|----|----|-----|-----| | 1 (Full Replication) | ✅ | ✅ Within-cell | ✅ | ✅ | ✅ | ✅ | -| 2 (No Replication) | ✅ | ✅ MR-based | ✅ | ✅ | ✅ | ✅ | -| 3 (Partial) | ✅ | ✅ MR-based | ✅ | ✅ | ✅ | ✅ | +| 2 (No Replication) | ✅ | ✅ Scaled difference | ✅ | ✅ | ✅ | ✅ | +| 3 (Partial) | ✅ | ✅ Scaled difference | ✅ | ✅ | ✅ | ✅ | | 4 (Incomplete, No Singletons) → ADS 1 | ✅ | ✅ Within-cell | ✅ | ✅ | ✅ | ✅ | -| 5 (Incomplete, No Replication) → ADS 2 | ✅ | ✅ MR-based | ✅ | ✅ | ✅ | ✅ | -| 6 (Incomplete, With Singletons) → ADS 3 | ✅ | ✅ MR-based | ✅ | ✅ | ✅ | ✅ | +| 5 (Incomplete, No Replication) → ADS 2 | ✅ | ✅ Scaled difference | ✅ | ✅ | ✅ | ✅ | +| 6 (Incomplete, With Singletons) → ADS 3 | ✅ | ✅ Scaled difference | ✅ | ✅ | ✅ | ✅ | R6 requires factors (it is computed from R5 and R2 at `execute()` time). **Note on R2 calculation**: R2 is the one residual whose formula depends on structure, and the choice is made on the analytical design state (ADS), after cleaning: -- **ADS 1** (every cell n ≥ 2): within-cell deviation, `R2 = Y - Ȳ_kt` (Eq 59) -- **ADS 2 and 3** (any singleton cell): 2-point moving average over the full canonical sequence, - `R2 = (Y_j - Y_{j-1}) / 2` (Eq 13.7–13.9), for every observation; no per-cell mixing +- **ADS 1** (every cell n ≥ 2): within-cell deviation, `R2 = Y - Ȳ_kt` (Eq 14-3) +- **ADS 2 and 3** (any one-observation cell): the condition-and-period-adjusted series Z, + differenced along the full canonical sequence and divided by twice the R2 scale factor, + for every observation (Eqs 14-4..14-13); no per-cell mixing. See [R2](#r2-unexplained-residuals). DS 4, 5 and 6 are sampling states; they collapse to ADS 1, 2 and 3 once empty cells are dropped. +**When R2 is unavailable**: in ADS 2 and 3 the R2 scale factor is undefined when there are +fewer than 2 process design conditions or fewer than K + 2 observations (M < K + 2). R2 then +has no value: `formulate()` warns, R2–R6 (and their re-centered forms) are not offered, and +`execute()` and `why_not()` give the reason. `loss_function()` and `maximum_information()` +raise `ValidationError`, and `capability()` reports potential capability as unavailable with +the same reason. R1 is still available. + ## Analysis Workflow with Residuals ### Step 1: Check R2 (Measurement Stability) @@ -361,7 +397,9 @@ for residual in ['R3', 'R4', 'R5']: R1 = Y - Ȳ ``` -Sum of R1 across all observations = 0 +R1 averages to zero over the cells: the mean of the cell means of R1 is 0, because Ȳ is the +unweighted mean of the cell means. The sum over all observations is 0 only when every cell +has the same number of observations. ### R2: Within-Cell (DS 1) @@ -369,49 +407,57 @@ Sum of R1 across all observations = 0 R2 = Y - Ȳ_kt ``` -Where Y̅kt is the mean of observations in cell (k, t). +Where Y̅kt is the mean of observations in cell (k, t) (Eq 14-3). -### R2: Within-Cell (DS 2, Backward Moving Average) +### R2: Scaled Difference (DS 2 and 3, any one-observation cell) ``` -R2_j = (Y_j - Y_{j-1}) / 2 +Z = Y - Ȳ_k - Ȳ_t + Ȳ +R2_j = (Z_j - Z_{j-1}) / (2 · c(K, M)) j = 2 … M, condition-then-time order +c(K, M) = sqrt( (K - 1) / (2K) · (1 - K / (M - 1)) ) ``` -For the first observation, R2 = 0 or uses forward difference. +K is the number of process design conditions present and M the number of observations +(M = KT in DS 2); c(K, M) is the R2 scale factor (Eqs 14-4..14-8 for DS 2, 14-9..14-13 for +DS 3, 5 and 6). The first observation in the sequence has no value (NaN). The scale factor +is undefined, and R2 unavailable, when K < 2 or M < K + 2. -### R3: Interaction +### R3: Interaction + Unexplained ``` -R3 = Y - Ȳ_k - Ȳ_t + Ȳ - = R1 - (Ȳ_k - Ȳ) - (Ȳ_t - Ȳ) - = R1 - FactorEffect - TimeEffect +R3 = (Ȳ_kt - Ȳ_k - Ȳ_t + Ȳ) + R2 + = InteractionEffect + R2 ``` +(Eq 14-14.) In DS 1 this equals Y - Ȳ_k - Ȳ_t + Ȳ, since Y = Ȳ_kt + R2 there. + ### R4: Time Main Effect + Unexplained ``` R4 = Ȳ_t - Ȳ + R2 - = TimeEffect + WithinVariation + = TimeEffect + R2 ``` ### R5: Design Condition Main Effect + Unexplained ``` R5 = Ȳ_k - Ȳ + R2 - = FactorEffect + WithinVariation + = FactorEffect + R2 ``` -## Next Steps - ## Maximum Information Analysis The **Maximum Information** analysis examines the noise floor of your process by analyzing R2 residuals via an X chart and percentage histogram. It answers: *What variation is inherent to the system, and is it predictable?* +The X chart of R2 has limits mean ± (3/1.128)·mR̄ and σ̂ = mR̄/1.128. The values are whatever R2 +is at your design state (the scaled difference in ADS 2 and 3), and `maximum_information()` +raises `ValidationError` when R2 is unavailable. + ```python mi = study.maximum_information() # Key statistics -print(f"Noise floor sigma: {mi.sigma_hat}") # Unbiased sigma from R2 +print(f"Noise floor sigma: {mi.sigma_hat}") # mR-bar / 1.128 of R2 print(f"Natural process limits: [{mi.lpl}, {mi.upl}]") print(f"Signals in noise: {mi.n_signals}") # Points beyond limits @@ -423,7 +469,7 @@ mi.plot(view='histogram', bins=15) # Percentage histogram only **Interpretation**: - **Stable R2 on X chart** (no signals) → The noise floor is predictable. Any variation beyond this level is attributable to factors, time, or interactions. -- **Signals in R2** → Special causes exist *within* subgroups. Investigate measurement system or within-cell process variation before interpreting R3-R5. +- **Signals in R2** → Special causes exist in the noise itself (*within* subgroups, in DS 1). Investigate the measurement system or the short-term process variation before interpreting R3-R5. - **σ̂ (sigma_hat)** → The irreducible noise floor. This is the best the process can achieve even if all assignable causes are eliminated. ## Next Steps diff --git a/docs/user-guide/sds-detection.md b/docs/user-guide/sds-detection.md index 191f9f7..14d4e56 100644 --- a/docs/user-guide/sds-detection.md +++ b/docs/user-guide/sds-detection.md @@ -47,7 +47,7 @@ Each of PDS, ODS, ADS reports a value on this scale. |-----|------|--------------------|-------------------| | 1 | Full Replication | All N_kt >= 2 | Xbar | | 2 | No Replication | All N_kt = 1 | X | -| 3 | Partial Replication | Mix of N_kt = 1 and N_kt >= 2 | X | +| 3 | Partial Replication | Mix of N_kt = 1 and N_kt >= 2 | Xbar | **Incomplete (has empty cells — applies to ODS only; collapses during tidying):** @@ -81,7 +81,7 @@ print(f"Description: {study.ads_description}") ## The VAS Problem Formulation -Following Bishop's Variance Analysis System (VAS) methodology, a rigorous problem formulation includes: +Following Bishop's Variation Analysis System (VAS) methodology, a rigorous problem formulation includes: - **Unit of Analysis**: The fundamental entity being measured (e.g., "filled cup", "loan contract") - **Response**: The measurement variable @@ -257,10 +257,10 @@ The design report shows: ``` **Capabilities**: -- ⚠️ Variance estimated via 2-point moving average -- ⚠️ R2 residuals approximate (using backward moving range) +- ⚠️ No within-cell variance: R2 is the condition-and-period-adjusted series, differenced along the condition-then-time sequence and divided by twice the R2 scale factor (Eqs 14-4..14-8) +- ⚠️ R2 needs at least 2 process design conditions (K) and M ≥ K + 2 observations; otherwise it is unavailable - ✅ Main effects analysis -- ✅ Xbar-S analysis (with MR-based limits) +- ✅ Xbar-S of the effect residuals (R4, R5), with limits from R2 **Valid Charts**: Xbar, S, X @@ -278,14 +278,15 @@ The design report shows: ``` **Capabilities**: -- ⚠️ R2 by the 2-point moving average over the full sequence (any singleton cell forces `ma2` for every observation) +- ⚠️ R2 by the same scaled difference as DS 2, over every observation (any one-observation cell selects `ma2` for every observation) - ⚠️ VAS residuals available but interpretation requires care -- ✅ Xbar-S analysis with R2-based limits +- ✅ Xbar-S is the recommended chart (VAS's default for DS 3 and 6) **Valid Charts**: Histogram, Xbar, S, X, mR -!!! note "Why DS 3 does not mix methods" - For R2 in DS 3 the library does not combine an exact estimate from the replicated cells with a moving-average estimate from the singletons. Bishop's moving-average residual (Eq 13.7–13.9) is defined over the whole ordered sequence, j = 2 … J, with no grouping by cell. Once any cell is a singleton, every observation gets R2 = (Y_j − Y_{j−1}) / 2 on the canonical sort, and only the first observation in the sequence has no value. The replicated cells' within-cell deviations are not used for R2. This is the same calculation as DS 2, and the ADS 3 reference assertions in the [validation page](../reference/validation.md) hold against it. The recommended chart is X rather than Xbar because subgroup means over mixed cell sizes are uneven to interpret, not because the variance estimate differs. +:::{note} Why DS 3 does not mix methods +For R2 in DS 3 the library does not combine an exact estimate from the replicated cells with a separate estimate for the one-observation cells. Bishop's R2 for any layout with a one-observation cell (Eqs 14-9..14-13) is defined over the whole ordered sequence, with no grouping by cell: remove the process mean and the condition and period effects, difference what is left along the canonical condition-then-time sort, and divide by twice the R2 scale factor c(K, M). Only the first observation in the sequence has no value. The replicated cells' within-cell deviations are not used for R2. This is the same calculation as DS 2, and the ADS 3 reference assertions in the [validation page](../reference/validation.md) hold against it. The recommended chart is Xbar (with S), VAS's default for DS 3 and 6. Every subgroup mean, one-observation subgroups included, counts once toward the Xbar center line (per stratum too). One-observation subgroups have no within-subgroup spread, so they take no part in σ̂ (Eq 11-5); they are still charted, with limits center ± 3σ̂ (Eqs 11-16/17 with N = 1), as VAS draws them. The companion S chart leaves them out. +::: ## DS 4: Incomplete, No Singletons @@ -373,13 +374,20 @@ The **Analytical Design State** determines three key aspects of the analysis: ### 1. Variance Estimation (R2 Method) -The R2 method is determined by the tidy data structure (ADS), not the raw DS: +The R2 method is determined by the tidy data structure (ADS), not the raw DS. Equation numbers refer to Bishop's VAS documentation manual dated 10-1-2026. | ADS | R2 Method | Description | |-----|-----------|-------------| -| 1 | exact | Within-cell standard deviation (`R2 = Y - Ȳ_kt`) | -| 2 | ma2 | 2-point moving average for unreplicated designs | -| 3 | ma2 | Any singleton cell: moving average over the full sequence (same as DS 2) | +| 1 | exact | Within-cell deviation (`R2 = Y - Ȳ_kt`, Eq 14-3) | +| 2 | ma2 | `Z = Y - Ȳ_k - Ȳ_t + Ȳ`, differenced along the condition-then-time sequence and divided by twice the R2 scale factor c(K, M) (Eqs 14-4..14-8) | +| 3 | ma2 | Any one-observation cell: the same calculation over every observation (Eqs 14-9..14-13) | + +The token `ma2` names Bishop's size-2 moving average of Z; R2 is Z minus that average, +divided by the R2 scale factor. The factor is computed from the layout, with K the number of +process design conditions present and M the number of observations. It is undefined when +K < 2 or M < K + 2, and R2 (with R3–R6, the loss function, maximum information and potential +capability) is then unavailable, with the reason given by `formulate()`, `execute()` and +`why_not()`. ### 2. Available Charts @@ -388,11 +396,11 @@ The R2 method is determined by the tidy data structure (ADS), not the raw DS: | DS | Xbar-S | Stratified X | |-----|--------|----------------| | 1 | ✅ | ✅ | -| 2 | ✅ (MR-based limits) | ✅ | -| 3 | ✅ (R2-based limits) | ✅ | -| 4 | ❌ | ✅ | -| 5 | ❌ | ✅ | -| 6 | ❌ | ✅ | +| 2 | ✅ (effect residuals; limits from R2) | ✅ | +| 3 | ✅ (recommended) | ✅ | +| 4 | ✅ | ✅ | +| 5 | ✅ (effect residuals; limits from R2) | ✅ | +| 6 | ✅ (recommended) | ✅ | #### VAS Residual Charts @@ -413,10 +421,9 @@ The available chart types for each residual depend on the **rational subgrouping This enables Xbar/S analysis for R4 and R5 even when individual cells have n=1, because the aggregated subgroups have larger sample sizes. -**Note on R2 calculation**: R2 adapts to your sampling structure: -- **DS 1**: Within-cell deviation (`R2 = Y - Ȳ_kt`) -- **DS 2, 5**: Moving average method (`R2 = Y - MA2`) for unreplicated/sparse designs -- **DS 3, 4, 6**: Within-cell deviation (R2=0 for cells with n=1) +**Note on R2 calculation**: R2 adapts to your sampling structure (see the R2 method table above): +- **DS 1, 4**: Within-cell deviation (`R2 = Y - Ȳ_kt`) +- **DS 2, 3, 5, 6**: Scaled difference of the condition-and-period-adjusted series (`ma2`), over every observation ### 3. Signal Detection Rules @@ -485,11 +492,11 @@ print(cell_counts['n'].value_counts()) | If You Have... | ODS | ADS (after cleansing) | Best Approach | |----------------|-----|-----------------------|---------------| | Full replication (n>=2 per cell) | 1 | 1 | Xbar with full VAS | -| One observation per cell | 2 | 2 | X with MA2-based R2 | -| Mixed replication | 3 | 3 | X with MA2 R2 | +| One observation per cell | 2 | 2 | X; R2 by scaled difference | +| Mixed replication | 3 | 3 | Xbar; R2 by scaled difference | | Incomplete grid, all observed replicated | 4 | 1 | Xbar with full VAS | -| Incomplete grid, all observed n=1 | 5 | 2 | X with MA2-based R2 | -| Incomplete grid, mixed observed | 6 | 3 | X with MA2 R2 | +| Incomplete grid, all observed n=1 | 5 | 2 | X; R2 by scaled difference | +| Incomplete grid, mixed observed | 6 | 3 | Xbar; R2 by scaled difference | ## Next Steps diff --git a/docs/user-guide/series-length.md b/docs/user-guide/series-length.md index e5fe207..d118f2f 100644 --- a/docs/user-guide/series-length.md +++ b/docs/user-guide/series-length.md @@ -17,7 +17,7 @@ and what a short series can and cannot tell you. ## The position -The Variance Analysis System was built for analytic studies broadly. Statistical process +The Variation Analysis System was built for analytic studies broadly. Statistical process control, where data arrive quickly and action follows each point, is a special case. VAS rests on the scientific method and the nontrivial replication of results, not on prescribed tests or rules for how many points a chart needs. Judgment about what the data are saying @@ -55,7 +55,7 @@ The same numbers appear in code as `study.series_length`, a frozen record with ` ## How precise a moving-range sigma is -For a stable normal process, the moving-range estimate of sigma (MR̄/d₂) scatters around +For a stable normal process, the moving-range estimate of sigma (MR̄/d₂, 10-1 manual Eq 12-4) scatters around the truth by an amount that depends only on how many points there are. The table gives the 10th, 50th and 90th percentiles of the estimate relative to the true sigma, and the ratio of the 90th to the 10th, for every series length from 3 to 30. It was generated by diff --git a/examples/stratification_demo.ipynb b/examples/stratification_demo.ipynb index 0ce5d6a..ce33fc7 100644 --- a/examples/stratification_demo.ipynb +++ b/examples/stratification_demo.ipynb @@ -12907,7 +12907,7 @@ "---\n", "## Effects and Interactions Analysis\n", "\n", - "The Xbar/S analysis also calculates main effects and interactions from the VAS (Variance Analysis System) framework.\n", + "The Xbar/S analysis also calculates main effects and interactions from the VAS (Variation Analysis System) framework.\n", "\n", "**Main Effects** show how each factor level differs from the grand mean:\n", "- Positive = above average\n", diff --git a/processbehavior/__init__.py b/processbehavior/__init__.py index 2281ceb..843246c 100644 --- a/processbehavior/__init__.py +++ b/processbehavior/__init__.py @@ -2,7 +2,7 @@ ProcessBehavior - Statistical Process Control for Python A Pythonic library for process behavior analysis following Bishop's -Variance Analysis System (VAS). The library models the data lifecycle +Variation Analysis System (VAS). The library models the data lifecycle through three design states and routes analysis by what your data actually supports: diff --git a/processbehavior/analysis.py b/processbehavior/analysis.py index c16cd72..06358f8 100644 --- a/processbehavior/analysis.py +++ b/processbehavior/analysis.py @@ -45,6 +45,7 @@ calculate_limits, calculate_limits_vectorized, calibrated_limits, + subgroup_sigma_hat, ) from .types import ChartPayload @@ -799,14 +800,15 @@ def _residual_grain(self, value_col: str) -> list[str]: """Return the cell-grid columns at which to compute Bishop's grand mean for an Xbar chart on this column. - Each VAS residual is recentered around a baseline computed at a specific - grain (see `analysis_dataset.py:364-371` and `residual_calculator.calculate_r6_residuals`). The - canonical grand mean of an RCRk chart averages over that grain — equal - weight per cell — yielding Bishop's unweighted center line. + Each re-centred residual is R + Ybar (10-1 manual Eq 14-26; see + `AnalysisDataSet._calculate_centered_residuals` and + `residual_calculator.calculate_r6_residuals`). The canonical grand mean of an + RCRk chart averages over the grain its effect lives at — equal weight per + level — yielding Bishop's unweighted center line. Grain table (None for non-residuals; falls through to other logic): R1, R2, R3 -> [rsg_var_name, time_var] (full cell grid) - R4 -> [rsg_var_name] (time effect removed) + R4 -> [time_var] (R4 carries the period effect) R5, R6 -> [rsg_var_name] (factor effects live at rsg level) Returns an empty list when the column isn't a residual or the spec @@ -820,13 +822,11 @@ def _residual_grain(self, value_col: str) -> list[str]: base = 'R' + base[3:] if not (base.startswith('R') and len(base) >= 2 and base[1].isdigit()): return [] - # R5/R6 are factor-effect residuals; R4 is the time-effect residual - # (time component removed). For our SDS 3 validation only R3 and R6 are - # exercised; R4/R5 grains are inferred from the recentering structure. + # R5/R6 carry the condition (factor) effects; R4 carries the period effect. if base in ('R5', 'R6'): return [spec.rsg_var_name] if spec.rsg_var_name else [] if base == 'R4': - return [spec.rsg_var_name] if spec.rsg_var_name else [] + return [spec.time_var] if spec.time_var else [] # R1, R2, R3: full (rsg x time) cell grid grain = [] if spec.rsg_var_name: @@ -844,9 +844,8 @@ def _resolve_limits_column(value_col: str, df: pd.DataFrame) -> str: whose within-group std inflates limits. R2 (within-cell noise) is the correct dispersion basis per Bishop. - Always uses plain R2 (not RCR2) because recentered residuals add - cell-specific offsets that inflate within-group std when groups span - multiple cells. + Always uses plain R2 (not RCR2): RCR2 adds the cell mean, which would + inflate within-group std when groups span multiple cells. """ _EFFECT_RESIDUALS = {'R1', 'R3', 'R4', 'R5', 'RCR1', 'RCR3', 'RCR4', 'RCR5'} if value_col is not None and value_col.upper() in _EFFECT_RESIDUALS and 'R2' in df.columns: @@ -1079,6 +1078,32 @@ def _build_output_columns(self, df: pd.DataFrame, value_cols: list[str]) -> pd.D # Chart Calculation Methods (Strategy Pattern) # ========================================================================= + def _xbar_limits(self, out: pd.DataFrame, s_bar: float, n_to_use: str) -> pd.DataFrame: + """Xbar natural process limits for the subgroups in ``out`` (columns center, s, n, N). + + Equal subgroup sizes (or n_mode="average", Eq 11-20): S-bar / c4(N) for every row. + Unequal sizes: sigma_hat is the average of each subgroup's S_r / c4(N_r) (10-1 manual + Eq 11-5) and each subgroup's limits are center ± multiplier · sigma_hat / sqrt(N_r) + (Eqs 11-16, 11-17), so they step with N_r, as VAS draws them. A one-reading subgroup + has no S_r: it takes no part in sigma_hat and is charted at center ± multiplier · sigma_hat. + """ + if n_to_use == 'n': + fit = out['n'].ge(2) + return calculate_limits_vectorized( + 'Xbar', + mean=out['center'], + sigma=subgroup_sigma_hat(out.loc[fit, 's'], out.loc[fit, 'n']), + N=out['n'], + sigma_multiplier=self.request.n_sigma, + ) + return calculate_limits_vectorized( + 'Xbar', + mean=out['center'], + sd=s_bar, + N=out[n_to_use], + sigma_multiplier=self.request.n_sigma, + ) + def _calculate_xbar( # noqa: C901 self, value_col: str | None = None, _return_intermediates: bool = False ) -> dict: @@ -1165,8 +1190,9 @@ def _calculate_xbar( # noqa: C901 agg_dict = { 's': pd.NamedAgg(column=_limits_col, aggfunc='std'), 'mean': pd.NamedAgg(column=value_col, aggfunc='mean'), - # Count on response_var (not value_col) to avoid NaN issues with residuals - 'n': pd.NamedAgg(column=spec.response_var, aggfunc='count'), + # N_r counts the values S_r is computed from: a residual missing on a row (R2's + # first value) leaves that subgroup one smaller, as VAS treats it. + 'n': pd.NamedAgg(column=_limits_col, aggfunc='count'), } if _limits_col != value_col: agg_dict['s_value'] = pd.NamedAgg(column=value_col, aggfunc='std') @@ -1186,40 +1212,39 @@ def _calculate_xbar( # noqa: C901 _N = out['n'].max() out['N'] = _N - # Filter out groups with n=1 (can't compute c4 for variance estimation) - # Xbar charts require n >= 2 for within-group variance. - # Xbar stays in valid_charts on ADS 2 — the chart family is valid there - # (Xbar of a residual, or of a pooled subgroup, computes fine); it is - # only charting *the response* that has nothing to subgroup. See - # Study._response_pair_problem, which reports that in advance. - mask_n1 = out['n'].eq(1) - if mask_n1.any(): - n_filtered = mask_n1.sum() - logger.info(f'Filtered {n_filtered} subgroup(s) with n=1 from Xbar calculation') - out = out[~mask_n1].copy() - - # Handle case where no subgroups have >1 observation - if out.shape[0] == 0: + # Every subgroup with a value is charted. A one-reading subgroup has no S, so sigma-hat + # comes from the subgroups with n >= 2, and its limits are center ± 3·sigma-hat (10-1 + # manual Eqs 11-16/17 with N_r = 1), as VAS draws them; the companion S chart keeps only + # n >= 2. n counts the limits column, so a reading without one (R2's first value) is not + # charted, as in VAS. Xbar stays in valid_charts on ADS 2 — the chart family is valid + # there (Xbar of a residual, or of a pooled subgroup, computes fine); it is only charting + # *the response* that has nothing to subgroup. See Study._response_pair_problem, which + # reports that in advance. + out = out[out['n'].ge(1)].copy() # n=0: every charted value missing + fit = out['n'].ge(2) + if not fit.any(): sds = self.ads._ads_result.sds if self.ads._ads_result else '?' _raise_no_replicated_subgroups('Xbar', sds) # Use Bishop VAS grand mean (mean of cell means on value_col) as center _Xbar = _Ybar - _S = out['s'].mean() - _N = out['n'].max() + _S = out.loc[fit, 's'].mean() + _N = out.loc[fit, 'n'].max() if 'N' not in out.columns: out['N'] = _N - # Determine if subgroup sizes are constant or variable + # Determine if subgroup sizes are constant or variable: on the Xbar chart, and on the + # S chart, which has no one-reading subgroups n_to_use, n_max = self._determine_n_to_use(out) + s_n_to_use, _ = self._determine_n_to_use(out[fit]) # Override n_to_use if n_mode="average" n_mode = self.request.n_mode n_avg = None if n_mode == 'average': - n_avg = out['n'].mean() + n_avg = out.loc[fit, 'n'].mean() out['N'] = n_avg # overwrite N column with average - n_to_use = 'N' # force constant-N path + n_to_use = s_n_to_use = 'N' # force constant-N path # CALCULATE XBAR xbar = out.copy() @@ -1231,13 +1256,7 @@ def _calculate_xbar( # noqa: C901 ) else: xbar['center'] = _Xbar # Add center column for Xbar chart - xbar[['lpl', 'upl']] = calculate_limits_vectorized( - 'Xbar', - mean=xbar['center'], - sd=_S, - N=xbar[n_to_use], - sigma_multiplier=self.request.n_sigma, - ) + xbar[['lpl', 'upl']] = self._xbar_limits(xbar, _S, n_to_use) # Detect beyond limits signals xbar = self._add_beyond_limits_flag(xbar, value_col='xbar') @@ -1297,11 +1316,11 @@ def _calculate_xbar( # noqa: C901 if _return_intermediates: result['_intermediates'] = { '_S': _S, - 'n_to_use': n_to_use, + 'n_to_use': s_n_to_use, 'n_max': n_max, 'groupby_cols': groupby_cols, 'group_col': group_col, - 'out': out, # Pre-aggregated DataFrame with s, n, mean columns + 'out': out[fit], # Pre-aggregated subgroups with an S: s, n, mean columns 'n_avg': n_avg, } @@ -1367,7 +1386,7 @@ def _calculate_xbar_stratified( agg_dict = { 's': pd.NamedAgg(column=_limits_col, aggfunc='std'), 'xbar': pd.NamedAgg(column=value_col, aggfunc='mean'), - 'n': pd.NamedAgg(column=spec.response_var, aggfunc='count'), + 'n': pd.NamedAgg(column=_limits_col, aggfunc='count'), } if _limits_col != value_col: agg_dict['s_value'] = pd.NamedAgg(column=value_col, aggfunc='std') @@ -1375,35 +1394,32 @@ def _calculate_xbar_stratified( out['N'] = out['n'].max() - # Filter subgroups with n=1 - mask_n1 = out['n'].eq(1) - if mask_n1.any(): - out = out[~mask_n1].copy() + # Centre first: Bishop's unweighted mean of the subgroup means, every + # subgroup counted once — a one-observation subgroup is still a cell. + _Xbar = out['xbar'].mean() - if out.shape[0] == 0: + # Every subgroup with a value is charted; sigma-hat comes from those with n >= 2 + # (see _calculate_xbar) + out = out[out['n'].ge(1)].copy() + fit = out['n'].ge(2) + if not fit.any(): insufficient_strata.append(stratum) continue # Per-stratum statistics - _Xbar = out['xbar'].mean() - _S = out['s'].mean() + _S = out.loc[fit, 's'].mean() n_to_use, n_max = self._determine_n_to_use(out) + s_n_to_use, _ = self._determine_n_to_use(out[fit]) n_mode = self.request.n_mode n_avg = None if n_mode == 'average': - n_avg = out['n'].mean() + n_avg = out.loc[fit, 'n'].mean() out['N'] = n_avg - n_to_use = 'N' + n_to_use = s_n_to_use = 'N' out['center'] = _Xbar - out[['lpl', 'upl']] = calculate_limits_vectorized( - 'Xbar', - mean=out['center'], - sd=_S, - N=out[n_to_use], - sigma_multiplier=self.request.n_sigma, - ) + out[['lpl', 'upl']] = self._xbar_limits(out, _S, n_to_use) out = self._add_beyond_limits_flag(out, value_col='xbar') out = out.round(spec.round_to) @@ -1429,9 +1445,9 @@ def _calculate_xbar_stratified( if _return_intermediates: intermediates_per_stratum[stratum] = { '_S': _S, - 'n_to_use': n_to_use, + 'n_to_use': s_n_to_use, 'n_max': n_max, - 'out': out, + 'out': out[out['n'].ge(2)], 'n_avg': n_avg, } @@ -1550,10 +1566,10 @@ def _calculate_s_stratified( _limits_col = self._resolve_limits_column(value_col, sdf) agg_dict = { 's': pd.NamedAgg(column=_limits_col, aggfunc='std'), - 'n': pd.NamedAgg(column=spec.response_var, aggfunc='count'), + 'n': pd.NamedAgg(column=_limits_col, aggfunc='count'), } out = sdf.groupby(groupby_cols, as_index=False, observed=True).agg(**agg_dict) - mask = out['n'].eq(1) + mask = out['n'].lt(2) out = out[~mask] if out.shape[0] == 0: insufficient_strata.append(stratum) @@ -1697,12 +1713,12 @@ def _calculate_s( # noqa: C901 agg_dict = { 's': pd.NamedAgg(column=_limits_col, aggfunc='std'), # Count on response_var (not value_col) to avoid NaN issues with residuals - 'n': pd.NamedAgg(column=spec.response_var, aggfunc='count'), + 'n': pd.NamedAgg(column=_limits_col, aggfunc='count'), } out = df.groupby(groupby_cols, as_index=False, observed=True).agg(**agg_dict) # remove groups with a single observation - mask = out['n'].eq(1) + mask = out['n'].lt(2) out = out[~mask] # Handle case where no subgroups have >1 observation @@ -1880,7 +1896,11 @@ def _calculate_mr_chart( Shared pipeline for MR-family charts (X and mR). The X and mR charts share >85% of their calculation logic. The behavioral - differences are encoded in ``mr_spec`` — no boolean flags needed. + differences are encoded in ``mr_spec`` — no boolean flags needed. The + statistics are the 10-1 manual's Chapter 12: mR-bar over the T - 1 + consecutive ranges (Eq 12-1), X centre Y-bar (Eqs 12-7, 12-9), X limits + Y-bar ± 3·mR-bar/d2 (Eqs 12-10, 12-11) and mR limits 0 … D4·mR-bar + (Eq 12-5), within each stratum or phase when the chart is split. Parameters ---------- @@ -2652,10 +2672,11 @@ def _calculate_mr_chart_ungrouped( # noqa: C901 return result # === Global limits path (unchanged) === - # Moving range + # Moving range: mR-bar over the T - 1 consecutive ranges (10-1 manual Eq 12-1). A re-centred + # R2 chart takes them over R2 (_resolve_mr_source_column), not the plotted RCR2. out['mr'] = out[mr_source_col].diff().abs() mR = out['mr'].mean() - mean_ = out[value_col].mean() + mean_ = out[value_col].mean() # Y-bar, the X chart's centre (Eqs 12-7, 12-9) # R chart: drop first observation if mr_spec.drops_first_mr: diff --git a/processbehavior/analysis_dataset.py b/processbehavior/analysis_dataset.py index 2779228..5da8fbd 100644 --- a/processbehavior/analysis_dataset.py +++ b/processbehavior/analysis_dataset.py @@ -1,13 +1,16 @@ from __future__ import annotations import logging +import math +import warnings import pandas as pd from .data_preparation import DataPreparation from .effects_calculator import EffectsCalculator +from .exceptions import ProcessBehaviorWarning from .formulation_spec import FormulationSpec -from .residual_calculator import calculate_vas_residuals +from .residual_calculator import calculate_vas_residuals, r2_scale_factor from .sds_detector import SDSRegistry, SDSResult, StructureStats # Configure module logger @@ -63,6 +66,9 @@ def __init__(self, df: pd.DataFrame, spec: FormulationSpec, observed_sds: int): # ADS result (computed in _initialize on tidy data) self._ads_result: SDSResult | None = None + # Why R2 (and every residual built on it) is unavailable, if it is + self._r2_unavailable_reason: str | None = None + # Composition - each component has one job (Single Responsibility Principle) # SDS detection was done on raw data by ProcessBehavior. Here we only use # SDSRegistry for characteristic lookups and R2 method selection on tidy @@ -127,6 +133,7 @@ def _initialize(self, raw_df: pd.DataFrame): n_per_cell=self._n_per_cell, ybar_kt=self._ybar_kt, ) + self._check_r2_scale_factor(r2_method) # Calculate centered residuals self._calculate_centered_residuals() @@ -156,6 +163,32 @@ def has_vas_residuals(self) -> bool: """Check if VAS residuals were calculated.""" return 'R1' in self.analysis_dataset.columns + @property + def r2_unavailable_reason(self) -> str | None: + """Why R2 (and R3-R6, which carry it) is unavailable for this layout, or None when it is available.""" + return self._r2_unavailable_reason + + def _check_r2_scale_factor(self, r2_method: str) -> None: + """Record (and warn once) when the layout leaves the R2 scale factor undefined. + + The scaled-difference R2 (10-1 manual Eqs 14-4..14-13) needs at least two process + design conditions and more than K + 1 observations; outside that it has no value. + """ + if r2_method != 'ma2': + return + n_conditions = int(self.analysis_dataset[self.spec.rsg_var_name].nunique()) + n_obs = len(self.analysis_dataset) + if not math.isnan(r2_scale_factor(n_conditions, n_obs)): + return + self._r2_unavailable_reason = ( + f'R2 is unavailable for this layout: with a one-observation subgroup, R2 is the ' + f'condition-and-period-adjusted series differenced and divided by the R2 scale factor ' + f'c(K, M), which needs at least 2 process design conditions and M >= K + 2 observations ' + f'(here K={n_conditions}, M={n_obs}). R3-R6, the loss function, maximum information and ' + f'potential capability depend on R2.' + ) + warnings.warn(self._r2_unavailable_reason, ProcessBehaviorWarning, stacklevel=2) + @property def structure_stats(self) -> StructureStats | None: """Get structure statistics (computed once during initialization).""" @@ -210,7 +243,7 @@ def _compute_structure_stats(self) -> None: # Compute n_per_cell and cell means once self._n_per_cell = df.groupby('cell_key', observed=True)[y].transform('size') - self._ybar_kt = df.groupby('cell_key', observed=True)[y].transform('mean') + self._ybar_kt = df.groupby('cell_key', observed=True)[y].transform('mean') # Ȳ_kt (10-1 manual Eq 10-8) # Handle edge case: empty data or all NaN if len(self._n_per_cell) == 0 or self._n_per_cell.isna().all(): @@ -319,10 +352,15 @@ def analysis_summary(self) -> dict: def _calculate_centered_residuals(self): """ - Calculate centered residuals (Rbar and RCR values). + Calculate the re-centred residuals (RCR) and the R1 cell/marginal means (Rbar). - These calculations center residuals by their means and reconstruct - Y from variance components to verify decomposition correctness. + Re-centring puts a residual back on the measurement scale without changing what it + shows: RCR = R + Ȳ.. (Bishop's 10-1 manual Eq 14-26, for R1, R3, R4, R5 and R6; RCR6 + is built per request in residual_calculator.calculate_r6_residuals). An effect chart of + RCR5 by condition, RCR4 by period or RCR3 by subgroup therefore plots that effect plus + R2, centred on the grand mean. + + RCR2 is not part of Eq 14-26; it is kept as Ȳ_kt + R2 (which reconstructs Y in ADS 1). Note: This method intentionally mutates self.analysis_dataset in-place (adding columns directly to the DataFrame). This differs from @@ -331,12 +369,6 @@ def _calculate_centered_residuals(self): during __init__ as part of the analysis pipeline, and the columns added (Rbar_kt, Rbar_k, Rbar_t, RCR1-RCR5) are outputs of the analysis that become part of the dataset. - - Calculates: - - Rbar_kt: Mean of R1 per cell (factor x time) - - Rbar_k: Mean of R1 per factor level - - Rbar_t: Mean of R1 per time point - - RCR1-RCR5: Reconstructed Y values from centered residuals """ if not self.spec.has_grouping: return @@ -349,13 +381,9 @@ def _calculate_centered_residuals(self): df['Rbar_k'] = df.groupby([self.spec.rsg_var_name], observed=True)['R1'].transform('mean') df['Rbar_t'] = df.groupby([self.spec.time_var], observed=True)['R1'].transform('mean') - # Calculate RCR (Reconstructed Centered Residuals) - # These verify that Y can be reconstructed from components - df['RCR1'] = df['Ybar'] + df['R1'] # Y = Ybar + R1 - df['RCR2'] = df['Ybar_kt'] + df['R2'] # Y = Ybar_kt + R2 - # Y = (Ybar_k + Ybar_t - Ybar) + R3 - df['RCR3'] = (df['Ybar_k'] + df['Ybar_t'] - df['Ybar']) + df['R3'] - # Y = (Ybar + Ybar_kt - Ybar_t) + R4 - df['RCR4'] = (df['Ybar'] + df['Ybar_kt'] - df['Ybar_t']) + df['R4'] - # Y = (Ybar + Ybar_kt - Ybar_k) + R5 - df['RCR5'] = (df['Ybar'] + df['Ybar_kt'] - df['Ybar_k']) + df['R5'] + # Re-centred residuals, Eq 14-26: RCR = R + Ybar + df['RCR1'] = df['Ybar'] + df['R1'] + df['RCR2'] = df['Ybar_kt'] + df['R2'] # not in Eq 14-26; reconstructs Y in ADS 1 + df['RCR3'] = df['Ybar'] + df['R3'] + df['RCR4'] = df['Ybar'] + df['R4'] + df['RCR5'] = df['Ybar'] + df['R5'] diff --git a/processbehavior/capability.py b/processbehavior/capability.py index 0fce610..2e0ee05 100644 --- a/processbehavior/capability.py +++ b/processbehavior/capability.py @@ -19,7 +19,7 @@ References ---------- -Bishop, T. *Variance Analysis System* — Chapter 16. +Bishop, T. *Variation Analysis System* — Chapter 16. """ from __future__ import annotations @@ -101,7 +101,9 @@ class CapabilityResult: n : int Total valid (non-NaN) observations. y_bar : float - Grand mean of valid observations. + Process mean: the unweighted mean of the (factor × time) cell means, as VAS + computes it, the same centre as the Xbar chart and the loss function. Equals + the plain average of the observations when every cell has the same size. s : float Sample standard deviation (ddof=1). sigma_hat : float @@ -109,9 +111,10 @@ class CapabilityResult: pp, ppk_lower, ppk_upper, ppk : float | None Current capability indices (from overall sigma). sigma_hat_r2 : float | None - Unbiased sigma from R2 residuals. + Unbiased sigma from R2 residuals: S_R2 / c4(N_R2) (10-1 manual Eq 16-10). cp, cpk_lower, cpk_upper, cpk : float | None - Potential capability indices (from R2 sigma). + Potential capability indices (from R2 sigma), with CPL/CPU measured from + ``potential_center``. potential_unavailable_reason : str | None Why Cp/Cpk are unavailable (if applicable). z_lower, z_upper : float | None @@ -130,6 +133,11 @@ class CapabilityResult: Always None in v1. round_to : int Decimal places used by ``__repr__`` and ``as_dict``. + potential_center : float | None + Centre of the potential distribution: the mean of ``y_bar + R2``, i.e. + ``y_bar + mean(R2)``. Equals ``y_bar`` when R2 averages to zero (ADS 1); + with the scaled-difference R2 of ADS 2/3 it differs by mean(R2), which is + small. None when potential capability is unavailable. """ # Input context @@ -192,6 +200,9 @@ class CapabilityResult: window_warning: str | None = None observed_values: np.ndarray | None = None # values summarized (windowed or full) + # Potential view centre: mean of (y_bar + R2). Last field so positional construction is unchanged. + potential_center: float | None = None + # ------------------------------------------------------------------ # Visualization # ------------------------------------------------------------------ @@ -283,6 +294,7 @@ def _r(v: float | None) -> float | None: 'ppk_upper': _r(self.ppk_upper), 'ppk': _r(self.ppk), 'sigma_hat_r2': _r(self.sigma_hat_r2), + 'potential_center': _r(self.potential_center), 'cp': _r(self.cp), 'cpk_lower': _r(self.cpk_lower), 'cpk_upper': _r(self.cpk_upper), @@ -325,6 +337,7 @@ def __repr__(self) -> str: lines.append(f' Potential Capability: {self.potential_unavailable_reason}') else: lines.append(' Potential Capability (R2 sigma):') + lines.append(f' centre={d["potential_center"]}, sigma_hat_r2={d["sigma_hat_r2"]}') lines.append(f' Cp={d["cp"]} Cpk={d["cpk"]} (lower={d["cpk_lower"]}, upper={d["cpk_upper"]})') lines.append('') @@ -378,7 +391,7 @@ def compute_sigma_hat(values: np.ndarray) -> tuple[float, float]: ----- Bishop Ch. 16 — ddof=1 is mandatory. The c4 correction removes the small-sample bias inherent in the sample standard - deviation. + deviation: sigma_hat = S / alpha_N (10-1 manual Eq 10-13). """ n = len(values) s = float(np.std(values, ddof=1)) @@ -527,6 +540,22 @@ def _coerce_ads(source: Study | AnalysisDataSet) -> AnalysisDataSet: # ============================================================================ +def _process_mean(frame: pd.DataFrame, response_var: str) -> float: + """VAS's process mean: the unweighted mean of the (factor × time) cell means. + + Each experimental condition counts once, whatever its cell size, as for the + Xbar centre line and the loss function's centring term. VAS prints this as the + capability charts' PROCESS MEAN (PM SDS 6: 237.86, where the plain average of + the readings is 237.834). The 10-1 manual's Eqs 16-4..16-6 and 16-11..16-13 + write it as the "overall average" Y-bar; on balanced data the two are equal. + A study without cells (no factors or time) has one cell: the plain average. + """ + valid = frame[frame[response_var].notna()] + if 'cell_key' in valid.columns and len(valid): + return float(valid.groupby('cell_key', observed=True, sort=False)[response_var].mean().mean()) + return float(valid[response_var].mean()) + + def _time_window_mask(time_col: pd.Series, window: tuple) -> pd.Series: """Boolean mask for a half-open time window ``[start, end)``. @@ -635,14 +664,16 @@ def assess_capability( f'sample size; treat as indicative, not authoritative.' ) window_meta, time_var_meta = tuple(window), time_var + frame = obs_df else: + frame = df y_values = df[response_var].dropna().to_numpy(dtype=float) n = len(y_values) if n < 2: raise ValidationError(f'Capability analysis requires at least 2 valid observations, got {n}.') # --- Current capability --- - y_bar = float(np.mean(y_values)) + y_bar = _process_mean(frame, response_var) # mean of cell means, as VAS (see _process_mean) s, sigma_hat = compute_sigma_hat(y_values) current = compute_capability_indices(y_bar, sigma_hat, specs) @@ -656,20 +687,27 @@ def assess_capability( cpk = None potential_unavailable_reason = None potential_values = None + potential_center = None potential_outside = {} - if ads.has_vas_residuals and 'R2' in df.columns: + if ads.r2_unavailable_reason is not None: + potential_unavailable_reason = ads.r2_unavailable_reason + elif ads.has_vas_residuals and 'R2' in df.columns: r2_values = df['R2'].dropna().to_numpy(dtype=float) n_r2 = len(r2_values) if n_r2 >= 2: - _, sigma_hat_r2 = compute_sigma_hat(r2_values) - pot = compute_capability_indices(y_bar, sigma_hat_r2, specs) + _, sigma_hat_r2 = compute_sigma_hat(r2_values) # Eq 16-10 + potential_values = y_bar + r2_values + # Centre the potential indices on the potential values themselves (Eqs 16-11..16-13 as + # VAS computes them): y_bar + mean(R2). Tom's Medicare run of 10/3/2026 prints + # "PROCESS MEAN 10831.3" on the potential slide (y_bar 10832.4, mean R2 -1.15). + potential_center = float(np.mean(potential_values)) + pot = compute_capability_indices(potential_center, sigma_hat_r2, specs) cp = pot['pp'] cpk_lower = pot['ppk_lower'] cpk_upper = pot['ppk_upper'] cpk = pot['ppk'] - potential_values = y_bar + r2_values potential_outside = compute_pct_outside(potential_values, specs) else: potential_unavailable_reason = ( @@ -716,5 +754,6 @@ def assess_capability( time_var=time_var_meta, n_total=n_total, window_warning=window_warning, + potential_center=potential_center, observed_values=y_values, ) diff --git a/processbehavior/datasets/synthetic.py b/processbehavior/datasets/synthetic.py index 8415fd4..e3cd835 100644 --- a/processbehavior/datasets/synthetic.py +++ b/processbehavior/datasets/synthetic.py @@ -2,8 +2,7 @@ Synthetic Data Generators for Statistical Process Control This module provides data generators for all Sampling Design States (SDS) -defined in the Variance Analysis System framework by Dr. Donald Wheeler -and extended by Dr. Thomas A. Bishop. +defined in Dr. Thomas A. Bishop's Variation Analysis System. Purpose: -------- @@ -39,8 +38,8 @@ Wheeler, D. J. (1995). Advanced Topics in Statistical Process Control. SPC Press, Knoxville, TN. -Bishop, D. R. (2023). Personal communication and collaboration on -Variance Analysis System implementation. +Bishop, T. A. (2023). Personal communication and collaboration on +Variation Analysis System implementation. """ import logging diff --git a/processbehavior/effects_calculator.py b/processbehavior/effects_calculator.py index 1cb15c0..1e1d4c1 100644 --- a/processbehavior/effects_calculator.py +++ b/processbehavior/effects_calculator.py @@ -1,5 +1,5 @@ """ -Effects and interactions calculator for VAS (Variance Analysis System). +Effects and interactions calculator for VAS (Variation Analysis System). This module calculates: - Main effects for each factor (mean of R5 per level) diff --git a/processbehavior/loss_function.py b/processbehavior/loss_function.py index 57bb432..52ffed2 100644 --- a/processbehavior/loss_function.py +++ b/processbehavior/loss_function.py @@ -9,22 +9,24 @@ References ---------- -Bishop, T. *Variance Analysis System* — Chapter 15. +Bishop, T. *Variation Analysis System* — Chapter 15. """ from __future__ import annotations +import logging from dataclasses import dataclass from typing import TYPE_CHECKING import numpy as np from .exceptions import ValidationError -from .spc_constants import c4 if TYPE_CHECKING: from .analysis_dataset import AnalysisDataSet +logger = logging.getLogger(__name__) + # ============================================================================ # Data Class @@ -57,9 +59,13 @@ class LossResult: sds : int Analytical SDS. centering, unexplained, pdc, time, interaction : float - The 5 loss components (squared-loss units). + The 5 loss components (squared-loss units). In ADS 1 each is estimated + directly (10-1 manual Eq 15-16). In ADS 2/3 the interaction is what the + other four leave of the total loss (Ȳ.. - T)² + S² (Eqs 15-18 to 15-20), + set to 0 when that remainder is negative. total : float - Sum of 5 components. + Sum of 5 components. In ADS 2/3 this equals (Ȳ.. - T)² + S² unless the + interaction was set to 0, in which case it is larger. pct_centering, pct_unexplained, pct_pdc, pct_time, pct_interaction : float Each component as percentage of total. pdc_by_factor : dict[str, float] | None @@ -303,34 +309,36 @@ def __repr__(self) -> str: def _compute_centering(y_bar: float, target: float) -> float: - """Eq 15.13 term 1: (Ȳ.. - T)².""" + """10-1 manual Eq 15-16 / 15-21, first term: (Ȳ.. - T)².""" return (y_bar - target) ** 2 def _compute_unexplained_replicated(df, response_var: str) -> float: """ - Eq 15.16/15.17: within-cell variance for fully replicated designs. + 10-1 manual Eq 15-14/15-16: within-cell variance for fully replicated designs (ADS 1). + + unexplained = (1/KT) Σ S_kt² - unexplained = (1/KT) Σ (S_kt / c4(n_kt))² + Each cell's sample variance (n_kt - 1 divisor) estimates σ² without bias, so the + average is used as is; earlier manuals divided each S_kt by c4(n_kt), which reads high. """ - cell_stats = df.groupby('cell_key', observed=True)[response_var].agg(['std', 'count']) - cell_stats['sigma_sq'] = (cell_stats['std'] / cell_stats['count'].apply(c4)) ** 2 - return float(cell_stats['sigma_sq'].mean()) + cell_var = df.groupby('cell_key', observed=True)[response_var].var() + return float(cell_var.mean()) def _compute_unexplained_pooled(df) -> float: """ - Eq 15.18/15.19: pooled sigma from R2 for ADS 2/3. + 10-1 manual Eq 15-17: unexplained loss for ADS 2/3 is the sample variance of R2. - Uses std(R2, ddof=1) / 0.7 then squares (Bishop Eq 15.18). + unexplained = S²_R2 (n - 1 divisor). R2 is already on the noise scale (the R2 + scale factor puts it there), so no further correction is applied. """ r2 = df['R2'].dropna().to_numpy(dtype=float) - sigma_hat = np.std(r2, ddof=1) / 0.7 - return float(sigma_hat**2) + return float(np.var(r2, ddof=1)) def _compute_pdc(df, rsg_var_name: str) -> float: - """Eq 15.20: (1/K) Σ (Ȳ_k. - Ȳ..)².""" + """10-1 manual Eq 15-22: (1/K) Σ (Ȳ_k. - Ȳ..)².""" ybar = df['Ybar'].iloc[0] ybar_k = df.groupby(rsg_var_name, observed=True)['Ybar_k'].first() rho_k = ybar_k - ybar @@ -338,7 +346,7 @@ def _compute_pdc(df, rsg_var_name: str) -> float: def _compute_time(df, time_var: str) -> float: - """Eq 15.13 term 4: (1/T) Σ (Ȳ_.t - Ȳ..)².""" + """10-1 manual Eq 15-16 / 15-21, time term: (1/T) Σ (Ȳ_.t - Ȳ..)².""" ybar = df['Ybar'].iloc[0] ybar_t = df.groupby(time_var, observed=True)['Ybar_t'].first() tau_t = ybar_t - ybar @@ -346,13 +354,31 @@ def _compute_time(df, time_var: str) -> float: def _compute_interaction(df, time_var: str) -> float: - """Eq 15.13 term 5: (1/KT) Σ (ρτ_kt)².""" + """10-1 manual Eq 15-16, last term (ADS 1): (1/KT) Σ (Ȳ_kt - Ȳ_k. - Ȳ_.t + Ȳ..)².""" ybar = df['Ybar'].iloc[0] cell = df.groupby('cell_key', observed=True)[['Ybar_kt', 'Ybar_k', 'Ybar_t']].first() rho_tau = cell['Ybar_kt'] - cell['Ybar_k'] - cell['Ybar_t'] + ybar return float((rho_tau**2).mean()) +def _compute_interaction_remainder(df, response_var: str, pdc: float, time_loss: float, unexplained: float) -> float: + """ + 10-1 manual Eqs 15-18 to 15-20 (ADS 2/3): interaction is what the other parts leave of the total. + + The total loss is (Ȳ.. - T)² + S², with S² the sample variance of all + observations (Eq 15-18). Subtracting the mean, condition, time and unexplained + parts leaves the PDC×PT interaction (Eq 15-20), set to 0 when negative. With + one observation per subgroup, interaction and noise cannot be told apart cell + by cell, so the interaction is backed out rather than estimated directly. + """ + s2 = float(np.var(df[response_var].to_numpy(dtype=float), ddof=1)) + remainder = s2 - pdc - time_loss - unexplained + if remainder < 0.0: + logger.debug('Eq 15-20 interaction remainder %.6g is negative; set to 0', remainder) + return 0.0 + return remainder + + def _compute_pdc_decomposition( effects: dict, rsg_vars: tuple[str, ...], pdc_total: float ) -> tuple[dict[str, float], float]: @@ -443,6 +469,9 @@ def assess_loss( 'does not have VAS residuals.' ) + if ads.r2_unavailable_reason is not None: + raise ValidationError(f'Loss function analysis needs R2. {ads.r2_unavailable_reason}') + df = ads.analysis_dataset spec = ads.spec response_var = spec.response_var @@ -465,15 +494,16 @@ def assess_loss( # --- 5 components --- centering = _compute_centering(y_bar, target) - # Unexplained: branch on cell replication - if ads._structure_stats.n_cell_min >= 2: - unexplained = _compute_unexplained_replicated(df, response_var) - else: - unexplained = _compute_unexplained_pooled(df) - pdc = _compute_pdc(df, rsg_var_name) time_loss = _compute_time(df, time_var) - interaction = _compute_interaction(df, time_var) + + # Unexplained and interaction: branch on cell replication (10-1 manual §15.4) + if ads._structure_stats.n_cell_min >= 2: + unexplained = _compute_unexplained_replicated(df, response_var) # Eq 15-16 + interaction = _compute_interaction(df, time_var) # Eq 15-16 + else: + unexplained = _compute_unexplained_pooled(df) # Eq 15-17 + interaction = _compute_interaction_remainder(df, response_var, pdc, time_loss, unexplained) # Eq 15-20 total = centering + unexplained + pdc + time_loss + interaction diff --git a/processbehavior/maximum_information.py b/processbehavior/maximum_information.py index b817a68..37bbee8 100644 --- a/processbehavior/maximum_information.py +++ b/processbehavior/maximum_information.py @@ -9,7 +9,7 @@ References ---------- -Bishop, T. *Variance Analysis System*. +Bishop, T. *Variation Analysis System*. """ from __future__ import annotations @@ -190,6 +190,9 @@ def assess_maximum_information( f'(current SDS: {ads.observed_design_state}).' ) + if ads.r2_unavailable_reason is not None: + raise ValidationError(f'Maximum information analysis needs R2. {ads.r2_unavailable_reason}') + df = ads.analysis_dataset r2_values = df['R2'].dropna().to_numpy(dtype=float) n = len(r2_values) @@ -197,13 +200,13 @@ def assess_maximum_information( if n < 2: raise ValidationError(f'Maximum information analysis requires at least 2 R2 values, got {n}.') - # --- XmR statistics on R2 --- + # --- XmR statistics on R2 (10-1 manual Chapter 12) --- r2_mean = float(np.mean(r2_values)) mr_values = np.abs(np.diff(r2_values)) - r2_mR = float(np.mean(mr_values)) - sigma_hat = r2_mR / D2_N2 + r2_mR = float(np.mean(mr_values)) # Eq 12-1 + sigma_hat = r2_mR / D2_N2 # Eq 12-4 - # Limits: mean ± E2 * mR + # Limits: mean ± E2 * mR (Eqs 12-10, 12-11) upl = r2_mean + XMR_LIMIT_MULTIPLIER * r2_mR lpl = r2_mean - XMR_LIMIT_MULTIPLIER * r2_mR @@ -219,7 +222,7 @@ def assess_maximum_information( mr_series[0] = np.nan mr_series[1:] = mr_values - # R chart limits + # R chart limits (Eq 12-5) r_upl = R_UPPER_LIMIT_MULTIPLIER * r2_mR xmr_data = pd.DataFrame( diff --git a/processbehavior/plotting/capability_chart.py b/processbehavior/plotting/capability_chart.py index 47ccc69..204fef2 100644 --- a/processbehavior/plotting/capability_chart.py +++ b/processbehavior/plotting/capability_chart.py @@ -409,7 +409,7 @@ def _build_index_text( # Potential view: show σ̂(R2) and CP/CPL/CPU indices lines: list[str] = [] lines.append(f'n = {cap.n}') - lines.append(f'\u0232 = {round(cap.y_bar, r)}') + lines.append(f'\u0232 = {round(_view_center(cap, view), r)}') lines.append(f'\u03c3\u0302(R2) = {round(cap.sigma_hat_r2, r)}') if specs.is_two_sided: @@ -566,8 +566,9 @@ def _add_npl_lines( """Add Natural Process Limit lines: mean, LNPL, UNPL.""" center_color = theme.center_color - # Select sigma based on view + # Select sigma and centre based on view sigma = cap.sigma_hat_r2 if view == 'potential' else cap.sigma_hat + center = _view_center(cap, view) is_subplot = row is not None and col is not None @@ -577,8 +578,8 @@ def _add_npl_lines( # Mean line — always drawn fig.add_shape( type='line', - x0=cap.y_bar, - x1=cap.y_bar, + x0=center, + x1=center, y0=0, y1=1, xref=xref, @@ -594,8 +595,8 @@ def _add_npl_lines( logger.warning('sigma <= 0 (sigma=%s); NPL lines omitted', sigma) return - lnpl = cap.y_bar - 3 * sigma - unpl = cap.y_bar + 3 * sigma + lnpl = center - 3 * sigma + unpl = center + 3 * sigma fig.add_shape( type='line', @@ -622,7 +623,7 @@ def _add_npl_lines( else: # Mean line — always drawn fig.add_vline( - x=cap.y_bar, + x=center, line_color=center_color, line_width=2, line_dash='solid', @@ -636,8 +637,8 @@ def _add_npl_lines( logger.warning('sigma <= 0 (sigma=%s); NPL lines omitted', sigma) return - lnpl = cap.y_bar - 3 * sigma - unpl = cap.y_bar + 3 * sigma + lnpl = center - 3 * sigma + unpl = center + 3 * sigma fig.add_vline( x=lnpl, @@ -655,6 +656,13 @@ def _add_npl_lines( ) +def _view_center(cap: CapabilityResult, view: str) -> float: + """Centre line for the view: y_bar for current; y_bar + mean(R2) (``potential_center``) for potential.""" + if view == 'potential' and cap.potential_center is not None: + return cap.potential_center + return cap.y_bar + + def _add_mean_line( fig: go.Figure, cap: CapabilityResult, @@ -665,14 +673,15 @@ def _add_mean_line( ) -> None: """Add only the mean (Y-bar) vertical line — used by potential view.""" center_color = theme.center_color + center = _view_center(cap, 'potential') is_subplot = row is not None and col is not None if is_subplot: xref, yref = _get_axis_ref(row, col) fig.add_shape( type='line', - x0=cap.y_bar, - x1=cap.y_bar, + x0=center, + x1=center, y0=0, y1=1, xref=xref, @@ -682,7 +691,7 @@ def _add_mean_line( ) else: fig.add_vline( - x=cap.y_bar, + x=center, line_color=center_color, line_width=2, line_dash='solid', @@ -751,7 +760,7 @@ def _add_legend_traces( y=[None], mode='lines', line=dict(color=center_color, width=2, dash='solid'), - name=f'Y-bar ({round(cap.y_bar, cap.round_to)})', + name=f'Y-bar ({round(_view_center(cap, view), cap.round_to)})', ) if is_subplot: fig.add_trace(go.Scatter(**trace_kwargs), row=row, col=col) @@ -760,8 +769,8 @@ def _add_legend_traces( # NPL (dashed green) — uses view-dependent sigma; skip for potential view if view != 'potential' and sigma is not None and sigma > 0: - lnpl = round(cap.y_bar - 3 * sigma, cap.round_to) - unpl = round(cap.y_bar + 3 * sigma, cap.round_to) + lnpl = round(_view_center(cap, view) - 3 * sigma, cap.round_to) + unpl = round(_view_center(cap, view) + 3 * sigma, cap.round_to) trace_kwargs = dict( x=[None], y=[None], diff --git a/processbehavior/plotting/renderers.py b/processbehavior/plotting/renderers.py index f1d2830..4ddaca6 100644 --- a/processbehavior/plotting/renderers.py +++ b/processbehavior/plotting/renderers.py @@ -692,7 +692,7 @@ def _add_histogram_stats( vline_kw['annotation_font_size'] = theme.annotation_font_size fig.add_vline(**vline_kw, **subplot_kw) - # Std deviation lines (±1σ, ±2σ, ±3σ) + # Std deviation lines (±1σ, ±2σ, ±3σ): Y-bar ± k·S; k = 3 is the manual's 3-sigma band (10-1 manual Eq 10-16) if std is None or n < 2 or not np.isfinite(std) or std <= 0: return diff --git a/processbehavior/residual_calculator.py b/processbehavior/residual_calculator.py index 6411bbc..e5fcd5e 100644 --- a/processbehavior/residual_calculator.py +++ b/processbehavior/residual_calculator.py @@ -1,8 +1,11 @@ """ -VAS (Variance Analysis System) residual calculations for process behavior analysis. +VAS (Variation Analysis System) residual calculations for process behavior analysis. This module calculates the Bishop VAS residuals (R1-R5) that decompose -total variation into interpretable components: +total variation into interpretable components. They estimate the terms of the +re-parameterized VAS model Y_ktn = mu + rho_k + tau_t + rhotau_kt + e'_ktn +(10-1 manual Eq 10-3), with the means estimated as unweighted means of the cell +means (Eq 10-10; on an incomplete grid, SDS 4-6, over the cells present): - R1: Total deviation from grand mean (pure algebra) - R2: Within-cell (unexplained) variation (structure-dependent) @@ -10,11 +13,15 @@ - R4: Time effects + unexplained (pure algebra given R2) - R5: Factor effects + unexplained (pure algebra given R2) -R2 is the ONLY residual whose calculation varies by structure: -- exact (state 1): R2 = Y - Ȳ_kt (Eq 59), when all cells have n >= 2 -- ma2 (states 2 & 3): R2 = (Y_j - Y_{j-1}) / 2 (Eq 13.8-13.9), - when any cell has n = 1 — applied to ALL observations across the - entire sorted stream, no grouping +R2 is the ONLY residual whose calculation varies by structure (equation numbers +are Bishop's 10-1 manual): +- exact (ADS 1): R2 = Y - Ȳ_kt (Eq 14-3, the error estimate of Eq 10-11), when every cell has n >= 2 +- ma2 (ADS 2 & 3): when any cell has n = 1. The data are first stripped of the + process mean and the condition and period effects, Z = Y - Ȳ_k - Ȳ_t + Ȳ + (Eq 14-4 / 14-9). Z is then differenced along the condition-then-time stream + and divided by twice the R2 scale factor c(K, M), which puts it back on the + noise scale: R2_j = (Z_j - Z_{j-1}) / (2c) (Eqs 14-5..14-8 / 14-10..14-13). + "ma2" names Bishop's size-2 moving average of Z; R2_j = Z_j minus that average. All other residuals (R1, R3, R4, R5) are pure algebraic transformations that don't depend on structure once the means are defined. @@ -24,7 +31,7 @@ calculate_time_means, calculate_cell_means - Pure residual functions: calculate_r1_residual, calculate_r3_residual, calculate_r4_residual, calculate_r5_residual -- Consolidated R2: calculate_r2(df, y, r2_method, n_per_cell) +- Consolidated R2: r2_scale_factor(K, M), calculate_r2(df, y, r2_method, n_conditions=K) - Orchestration: calculate_vas_residuals(df, spec, r2_method, ...) - Request residuals: resolve_r6_groupby, calculate_r6_residuals — R6/RCR6 are computed per execute() request from that request's by=, never stored on the @@ -34,6 +41,7 @@ from __future__ import annotations import logging +import math from collections.abc import Sequence from typing import TYPE_CHECKING @@ -154,7 +162,7 @@ def calculate_time_means(df: pd.DataFrame, response_var: str, time_var: str) -> def calculate_cell_means(df: pd.DataFrame, response_var: str, rsg_var_name: str, time_var: str) -> pd.Series: """ - Calculate cell means (Ȳ_kt) - average for each (factor × time) cell. + Calculate cell means (Ȳ_kt) - average for each (factor × time) cell (10-1 manual Eq 10-8). Broadcasts the mean for each cell to all rows in that cell. @@ -200,7 +208,7 @@ def calculate_r1_residual(df: pd.DataFrame, response_var: str, grand_mean: float """ Calculate R1 residual: total deviation from grand mean. - R1 = Y - Ȳ (Bishop Equation 56) + R1 = Y - Ȳ (10-1 manual Eq 14-2) R1 represents the total variation of each observation around the overall average. It's the foundation for all other residuals. @@ -240,7 +248,7 @@ def calculate_r3_residual( """ Calculate R3 residual: interaction effects (factor × time). - R3 = Y - Ȳ_k - Ȳ_t + Ȳ (Bishop Equation 66) + R3 = Y - Ȳ_k - Ȳ_t + Ȳ (10-1 manual Eq 14-14, interaction part) R3 captures the interaction between factors and time. It represents variation that can't be explained by factor effects or time effects alone. @@ -277,7 +285,7 @@ def calculate_r4_residual(time_means: pd.Series, grand_mean: float, r2: pd.Serie """ Calculate R4 residual: time effects + unexplained. - R4 = Ȳ_t - Ȳ + R2 (Bishop Equation 72) + R4 = Ȳ_t - Ȳ + R2 (10-1 manual Eq 14-16) R4 represents time effects plus within-cell variation. Used to assess if time contributes meaningful variation. @@ -303,7 +311,7 @@ def calculate_r5_residual(factor_means: pd.Series, grand_mean: float, r2: pd.Ser """ Calculate R5 residual: factor effects + unexplained. - R5 = Ȳ_k - Ȳ + R2 (Bishop Equation 75) + R5 = Ȳ_k - Ȳ + R2 (10-1 manual Eq 14-19) R5 represents factor effects plus within-cell variation. Used to assess if factors contribute meaningful variation and to calculate @@ -331,53 +339,100 @@ def calculate_r5_residual(factor_means: pd.Series, grand_mean: float, r2: pd.Ser # ============================================================================ -def calculate_r2(df: pd.DataFrame, y: str, r2_method: R2Method, n_per_cell: pd.Series | None = None) -> pd.Series: +def r2_scale_factor(n_conditions: int, n_observations: int) -> float: """ - Calculate R2 residual using the specified method. + R2 scale factor c(K, M) for the singleton design states. - R2 is the ONLY structure-dependent residual. The method is determined by - observed cell sizes (via SDSRegistry.get_r2_method()): + Bishop's 10-1 manual Eq 14-8 (SDS 2, where M = KT) and Eq 14-13 (SDS 3, 5, 6):: - - exact (ADS 1): R2 = Y - Ȳ_kt (Eq 59), every cell has n >= 2 - - ma2 (ADS 2 and 3): R2 = (Y_j - Y_{j-1}) / 2 (Eq 13.7-13.9), - any cell has n = 1 + c(K, M) = sqrt( (K - 1) / (2K) * (1 - K / (M - 1)) ) - When any cell has n=1, MA2 is applied to ALL observations across the - entire canonical-sorted stream — no grouping by rsg_key, no per-cell - selection between exact and MA2. Bishop Eq 13.7-13.9 specify j=2,...,J - with no grouping; only j=1 has no value. + The R2 scale factor is computed from the layout, not looked up: K is the + number of process design conditions present and M is the number of + observations in the full analysis frame (never a subset). Dividing the + differenced interaction series by 2c puts R2 back on the noise scale. + + Parameters + ---------- + n_conditions : int + K, the number of process design conditions (rsg levels) present. + n_observations : int + M, the number of observations in the analysis frame. + + Returns + ------- + float + c(K, M), or NaN where the formula is undefined (K < 2 or M < K + 2). + Never raises: an undefined factor means R2 is unavailable, not an error. + """ + if n_conditions < 2 or n_observations < n_conditions + 2: + return float('nan') + return math.sqrt((n_conditions - 1) / (2 * n_conditions) * (1 - n_conditions / (n_observations - 1))) + + +def calculate_r2( + df: pd.DataFrame, + y: str, + r2_method: R2Method, + *, + n_conditions: int | None = None, +) -> pd.Series: + """ + Calculate the R2 residual by the method the analytical design state selects. + + R2 is the ONLY structure-dependent residual. ``r2_method`` comes from + ``SDSRegistry.get_r2_method()`` (exact iff every cell has n >= 2) and drives + the branch; equation numbers are Bishop's 10-1 manual. + + - ``'exact'`` (ADS 1): R2 = Y - Ȳ_kt (Eq 14-3). + - ``'ma2'`` (ADS 2 and 3): Z = Y - Ȳ_k - Ȳ_t + Ȳ (Eq 14-4 / 14-9), using the + unweighted cell-mean averages already on the frame, so the process mean and + the condition and period effects are removed before anything is differenced. + In the canonical condition-then-time order (``sort_key``), + R2_j = (Z_j - Z_{j-1}) / (2 c(K, M)) for j >= 2 (Eqs 14-5..14-8 / + 14-10..14-13). The stream runs across condition boundaries with no grouping; + only the first observation has no value (NaN). Because Z carries no condition + or period effect, the step from one condition's last period to the next + condition's first period no longer carries a level difference. + + When the R2 scale factor is undefined for the layout (fewer than two + conditions, or too few observations), R2 is all NaN: unavailable, never ±inf. Parameters ---------- df : pd.DataFrame - Input data with 'cell_key', 'sort_key', 'Ybar_kt' columns + The full analysis frame, with ``sort_key``, ``Ybar_kt`` and, for ``'ma2'``, + ``Ybar``, ``Ybar_k`` and ``Ybar_t``. M is ``len(df)``, so never pass a subset. y : str - Name of response variable + Name of response variable. r2_method : R2Method - 'exact' or 'ma2', as chosen by SDSRegistry.get_r2_method(). Kept for - callers and logging; the branch below re-derives it from n_per_cell so - the two can never disagree. - n_per_cell : pd.Series, optional - Pre-computed observations per cell. Pass from ADS to avoid recomputation. + ``'exact'`` or ``'ma2'``. + n_conditions : int, optional + K, the number of process design conditions present. Required for ``'ma2'``. Returns ------- pd.Series - R2 residuals with name="R2" + R2 residuals with name="R2", aligned to ``df.index``. """ - if n_per_cell is None: - n_per_cell = df.groupby('cell_key', observed=True)[y].transform('size') - - # State 1: all cells replicated → exact (Eq 59) - if (n_per_cell >= 2).all(): + if r2_method == 'exact': return pd.Series(df[y] - df['Ybar_kt'], index=df.index, name='R2') - # States 2 & 3: any singletons → MA2 for ALL observations (Eq 13.8-13.9) - # MA2 runs across the entire canonical-sorted stream — no grouping. - # j=1 has no predecessor → R2 is NaN (Bishop leaves it blank). + if n_conditions is None: + raise RuntimeError("R2 method 'ma2' needs n_conditions (K) for the R2 scale factor") + df_sorted = df.sort_values('sort_key') - y_sorted = df_sorted[y] - r2 = (y_sorted - y_sorted.shift(1)) / 2 + z = df_sorted[y] - df_sorted['Ybar_k'] - df_sorted['Ybar_t'] + df_sorted['Ybar'] + c = r2_scale_factor(n_conditions, len(df_sorted)) + if math.isnan(c): + logger.debug( + 'R2 scale factor undefined for K=%d conditions and M=%d observations; R2 is unavailable.', + n_conditions, + len(df_sorted), + ) + r2 = pd.Series(float('nan'), index=df_sorted.index) + else: + r2 = (z - z.shift(1)) / (2 * c) return pd.Series(r2.loc[df.index], index=df.index, name='R2') @@ -460,7 +515,7 @@ def calculate_vas_residuals( # Step 2: Derive marginal means from cell means (unweighted means analysis) # Bishop VAS uses mean of cell means, giving each experimental - # condition equal weight regardless of sample size within cells. + # condition equal weight regardless of sample size within cells (10-1 manual Eq 10-10). cell_means_unique = out.groupby([spec.rsg_var_name, spec.time_var], observed=True)['Ybar_kt'].first() grand_mean = cell_means_unique.mean() @@ -478,13 +533,18 @@ def calculate_vas_residuals( # Step 4: Calculate R2 (structure-dependent) logger.debug(f'Calculating R2 residual (method: {r2_method})') - out['R2'] = calculate_r2(out, y, r2_method, n_per_cell=n_per_cell) - - # Step 5: Calculate R3 (interaction effects) + if r2_method == 'exact': + if n_per_cell is None: + n_per_cell = out.groupby('cell_key', observed=True)[y].transform('size') + if (n_per_cell < 2).any(): + raise RuntimeError("R2 method 'exact' requires every cell to have n >= 2") + out['R2'] = calculate_r2(out, y, r2_method, n_conditions=int(out[spec.rsg_var_name].nunique())) + + # Step 5: Calculate R3 (interaction effects), Eq 14-14 # Unified formula: Ybar_kt - Ybar_k - Ybar_t + Ybar + R2 - # For exact (state 1): R2 = Y - Ybar_kt, so this simplifies to - # Y - Ybar_k - Ybar_t + Ybar (algebraically identical to old formula). - # For MA2 (states 2-3): adds R2 to each row per Bishop. + # For exact (ADS 1): R2 = Y - Ybar_kt, so this simplifies to + # Y - Ybar_k - Ybar_t + Ybar. + # For ma2 (ADS 2-3): the interaction estimate plus R2, per Bishop. logger.debug('Calculating R3 residual') out['R3'] = out['Ybar_kt'] - out['Ybar_k'] - out['Ybar_t'] + grand_mean + out['R2'] @@ -550,13 +610,18 @@ def resolve_r6_groupby(by: Sequence[str] | None, factors: Sequence[str]) -> str def calculate_r6_residuals(df: pd.DataFrame, groupby_key: str | list[str], recentered: bool) -> pd.DataFrame: """Return a new frame carrying R6 (and RCR6 when recentered). Never mutates ``df``. - R6 = α_i + R2 where α_i = mean(R5 | factor level(s)). + R6 = α_i + R2, where α_i is the factor-level effect: the condition effects ρ̂_k = R5 - R2 + averaged over the level's rows (10-1 manual Eqs 14-19, 14-24, 14-25). - Bit-identity constraints — this math moved verbatim from the old - ``Study._compute_r6`` and must keep producing identical floats: + The manual writes α_i as the level's mean of R5 (Eq 14-24, "≈ α_i"). R5 = ρ̂_k + R2, so + that mean also carries the level's average R2, which VAS leaves out: Tom's Medicare run + (10/3/2026, slide 52) centres the organisation-effects chart at 10831.1, the effect + without it, where the mean of R5 gives 10829.8. On ADS 1, R2 averages to zero inside + each cell, so the two agree; on ADS 2/3 they differ by the level's mean R2, which only + shows when levels are small. - ``groupby`` keeps its default kwargs (no ``observed=``, no ``dropna=``) to - preserve row alignment and values exactly. + preserve row alignment. - RCR6 is ``Ybar + alpha + R2`` evaluated left-to-right. Do not rewrite it as ``Ybar + R6``: float addition is non-associative, so the two differ in the last ulp. @@ -565,7 +630,8 @@ def calculate_r6_residuals(df: pd.DataFrame, groupby_key: str | list[str], recen plain R6 column (``_resolve_mr_source_column('RCR6') == 'R6'``). """ df = df.copy() - alpha = df.groupby(groupby_key)['R5'].transform('mean') + # ρ̂_k = R5 - R2 on the rows R5 exists (same rows and weighting as the mean of R5) + alpha = df.assign(_rho=df['R5'] - df['R2']).groupby(groupby_key)['_rho'].transform('mean') df['R6'] = alpha + df['R2'] if recentered: diff --git a/processbehavior/sds_detector.py b/processbehavior/sds_detector.py index f11c581..0a13b80 100644 --- a/processbehavior/sds_detector.py +++ b/processbehavior/sds_detector.py @@ -2,7 +2,7 @@ Sampling Design State (SDS) detection for process behavior analysis. This module implements the complete SDS classification system from the -Variance Analysis System (VAS) framework by Bishop. +Variation Analysis System (VAS) framework by Bishop. The SDS determines: - What type of data structure we have @@ -227,7 +227,7 @@ def residual_charts(self) -> list[tuple[str, str]]: if not self.vas_residuals_supported: return [] - # R1 (Bishop 13.1): the response centred at 0 — a location shift, so only the + # R1 (10-1 manual Eq 14-2): the response centred at 0 — a location shift, so only the # location charts. X is unconditional: charting the centred raw data is the whole # diagnostic. No S/mR — R1 differs from the response by a constant, so its # dispersion charts would duplicate the response's exactly. @@ -281,7 +281,7 @@ def __str__(self) -> str: lines.extend( [ '', - 'Variance Analysis System (VAS):', + 'Variation Analysis System (VAS):', f' • VAS supported: {"Yes" if self.vas_residuals_supported else "No"}', ] ) @@ -379,11 +379,12 @@ class SDSRegistry: **SDS 2**: Semi-Complete - No replication - Min N_kt = 1 and Max N_kt = 1 (all cells are singletons) - - Requires moving average for R2 + - R2 by the scaled difference of the effect-adjusted series (10-1 manual Eqs 14-4..14-8) **SDS 3**: Semi-Complete - Partial replication - Min N_kt = 1 and Max N_kt ≥ 2 (mixed) - - R2 by moving average across the full sequence (any singleton forces MA2) + - R2 by the same scaled difference over every observation (Eqs 14-9..14-13); + Xbar/S is the default chart **Incomplete** (has empty cells, requires sampling plan to detect): @@ -696,7 +697,7 @@ def get_sds_characteristics(self, sds: int) -> dict: 3: { 'description': 'Partial replication (mixed n=1 and n≥2)', 'replication_type': 'partial', - 'r2_method': 'ma2', # Any singleton: MA2 over the full sequence (Bishop Eq 13.7-13.9) + 'r2_method': 'ma2', # Any singleton: scaled difference over every observation (Eqs 14-9..14-13) 'capabilities': ['all_residuals', 'partial_interactions', 'main_effects'], 'interaction_analysis': 'partial', 'variance_decomposition': True, @@ -712,10 +713,10 @@ def get_sds_characteristics(self, sds: int) -> dict: 5: { 'description': 'Incomplete grid without replication (has 0s, max=1)', 'replication_type': 'none', - 'r2_method': 'ma2', # No replication, use moving average + 'r2_method': 'ma2', # No replication: scaled difference (Eqs 14-9..14-13) 'capabilities': ['partial_vas', 'stratification'], 'interaction_analysis': False, - 'variance_decomposition': True, # VAS supported via moving average + 'variance_decomposition': True, # VAS supported via the scaled-difference R2 }, 6: { 'description': 'Incomplete grid with singletons (has 0s, 1s, and ≥2s)', @@ -757,14 +758,13 @@ def get_r2_method(self, stats: StructureStats) -> R2Method: Notes ----- - Deterministic rule based on Bishop methodology: - - Eq 59 (exact): R2 = Y - Ȳ_kt, requires replication in every cell - - Eq 13.7-13.9 (MA2): R2 = (Y_j - Y_{j-1}) / 2 over the whole ordered - sequence, j = 2..J, with no grouping by cell. Once any cell is a - singleton this applies to every observation; the replicated cells' - within-cell deviations are not used for R2. There is no per-cell - mixing of the two (the earlier "hybrid" was removed in cb037f8, and - the ADS 3 reference assertions validate the ungrouped MA2). + Deterministic rule based on Bishop's 10-1 manual: + - Eq 14-3 (exact): R2 = Y - Ȳ_kt, requires replication in every cell + - Eqs 14-4..14-13 (ma2): Z = Y - Ȳ_k - Ȳ_t + Ȳ, differenced over the whole + condition-then-time sequence (j = 2..M, no grouping by cell) and divided + by twice the R2 scale factor c(K, M). Once any cell is a singleton this + applies to every observation; the replicated cells' within-cell + deviations are not used for R2. There is no per-cell mixing of the two. """ if stats.n_cell_min >= 2: return 'exact' @@ -1308,7 +1308,7 @@ def get_analysis_plan(sds: int, min_cell_size: int = 0) -> SDSAnalysisPlan: 'Screening experiments', ], limitations=[ - 'R2 estimated via moving average (approximate, not exact)', + 'R2 reconstructed from the effect-adjusted series (scaled difference), not observed within cells', 'Interaction confounded with pure error', ], bishop_reference='Bishop Methodology: No Replication (SDS 2)', @@ -1321,7 +1321,7 @@ def get_analysis_plan(sds: int, min_cell_size: int = 0) -> SDSAnalysisPlan: has_time=True, has_replication='partial', valid_charts=['Histogram', 'Xbar', 'S', 'X', 'mR'], - recommended_chart='X', + recommended_chart='Xbar', # 10-1 manual: Xbar/S is VAS's default for ADS 3 invalid_charts=[], vas_residuals_supported=True, residuals_available=['R1', 'R2', 'R3', 'R4', 'R5', 'R6'], @@ -1336,7 +1336,7 @@ def get_analysis_plan(sds: int, min_cell_size: int = 0) -> SDSAnalysisPlan: 'Pilot studies with targeted replication', ], limitations=[ - 'R2 uses the 2-point moving average over the full sequence (Bishop Eq 13.7-13.9); ' + 'R2 uses the scaled difference over the full sequence (10-1 manual Eqs 14-9..14-13); ' 'the replicated cells contribute no separate within-cell estimate', 'Variance estimates less precise than SDS 1', 'May have unequal subgroup sizes', diff --git a/processbehavior/spc_constants.py b/processbehavior/spc_constants.py index e96a4ab..d732bf8 100644 --- a/processbehavior/spc_constants.py +++ b/processbehavior/spc_constants.py @@ -29,9 +29,10 @@ # Control limit multiplier (3-sigma limits are standard in SPC) SIGMA_MULTIPLIER = 3 -# Moving-range constants for n = 2 (consecutive pairs), as in Bishop's VAS manual: -# sigma = mR / d2 (Eq 12.4), X limits = X ± 3·mR/d2 (Eq 12.10-12.11), and the -# moving-range upper limit = (1 + 3·d3/d2)·mR (Eq 12.5). The manual prints the +# Moving-range constants for n = 2 (consecutive pairs), as in Bishop's VAS manual +# (10-1 manual Eq 12-2: E(R) = d2·sigma, sigma_R = d3·sigma): sigma = mR / d2 (Eq 12-4), +# X limits = X ± 3·mR/d2 (Eqs 12-10, 12-11), and the moving-range upper limit +# = (1 + 3·d3/d2)·mR (Eq 12-5). The manual prints the # rounded values 2.66 and 3.268; Bishop's VAS software computes them from d2 and # d3 without rounding, and so does this library. D2_N2 = 1.128 @@ -54,7 +55,17 @@ def c4(n: int) -> float: Calculate c4 bias constant for Xbar and S charts. The c4 constant corrects for bias in the standard deviation estimate - when using subgroups. It approaches 1.0 as n increases. + when using subgroups: E(S) = c4(n)·sigma, the manual's alpha_N (10-1 manual + Eq 10-12), so S / c4(n) is unbiased for sigma (Eq 10-13). It approaches 1.0 + as n increases. + + Deliberate difference from the manual: its footnote to Eq 10-12 sets + alpha_N = 1 for N > 5000, and VAS does. c4 stays exact for every n (computed + with log-gamma, so it has no overflow limit). Since sigma_S uses + sqrt(1 - alpha_N²) (Eq 10-15), alpha_N = 1 would put an S chart's limits on + its centerline for subgroups of more than 5000 values. The exact c4 lets + them close in gradually instead: S-bar ± 3% at n = 5000, ± 1.5% at 20,000. + Only S charts with subgroups that large are affected. Parameters ---------- @@ -123,7 +134,9 @@ def b3(n: int, sigma_multiplier: float = 3) -> float: Notes ----- - Formula: b3(n) = 1 - sigma_multiplier/c4(n) * sqrt(1 - c4(n)²) + Formula: b3(n) = 1 - sigma_multiplier/c4(n) * sqrt(1 - c4(n)²), i.e. S-bar + less sigma_multiplier estimated standard deviations of S (10-1 manual + Eq 10-15), the S chart's lower limit (Eq 11-8). For small subgroup sizes (n < 6), the raw b3 formula yields negative values. Since standard deviations cannot be negative, these values are @@ -172,7 +185,9 @@ def b4(n: int, sigma_multiplier: float = 3) -> float: Notes ----- - Formula: b4(n) = 1 + sigma_multiplier/(c4(n)) * sqrt(1 - c4(n)^2) + Formula: b4(n) = 1 + sigma_multiplier/(c4(n)) * sqrt(1 - c4(n)^2), i.e. S-bar + plus sigma_multiplier estimated standard deviations of S (10-1 manual + Eq 10-15), the S chart's upper limit (Eq 11-9). The b4 constant decreases as subgroup size increases, approaching the value of 1 + 3*sqrt(1-1) = 1 for very large subgroups. @@ -303,8 +318,7 @@ def calculate_limits( f'The limits calculation for {limits_type} requires (mean, and mR). Got: mean={mean}, mR={mR}' ) - # LPL = X̄ - (E2 * mR) - # UPL = X̄ + (E2 * mR) + # LPL = X̄ - (E2 * mR), UPL = X̄ + (E2 * mR) (10-1 manual Eqs 12-10, 12-11) lpl = mean - (XMR_LIMIT_MULTIPLIER * mR) upl = mean + (XMR_LIMIT_MULTIPLIER * mR) @@ -313,7 +327,7 @@ def calculate_limits( raise ValueError(f'The limits calculation for {limits_type} requires (mR). Got: mR={mR}') # LPL = 0 (ranges cannot be negative) - # UPL = mR * D4 + # UPL = mR * D4 (10-1 manual Eq 12-5) lpl = 0 upl = mR * R_UPPER_LIMIT_MULTIPLIER @@ -323,6 +337,20 @@ def calculate_limits( return pd.Series({'lpl': lpl, 'upl': upl}, index=['lpl', 'upl']) +def subgroup_sigma_hat(s, n) -> float: + """Bishop's estimate of sigma from R rational subgroups (10-1 manual Eq 11-5). + + The average of each subgroup's own unbiased estimate: sigma_hat = (1/R) sum S_r / c4(N_r). + With equal subgroup sizes this is S-bar / c4(N) (Eq 11-6); with unequal sizes it is not, + because each S_r is unbiased-corrected with its own c4 before averaging. VAS computes it + this way (Tom's Medicare run: one subgroup of 3 among 23 of 4). + """ + s = np.asarray(s, dtype=float) + sizes = np.asarray(n) + lookup = {int(v): c4(int(v)) for v in np.unique(sizes)} + return float(np.mean(s / np.array([lookup[int(v)] for v in sizes.ravel()]).reshape(sizes.shape))) + + def calculate_limits_vectorized( limits_type: str, *, @@ -330,12 +358,18 @@ def calculate_limits_vectorized( sd=None, N=None, mR=None, + sigma=None, sigma_multiplier: float = 3, ) -> pd.DataFrame: """Array form of :func:`calculate_limits` — same formulae, whole columns at once. + ``sigma`` (Xbar only) gives sigma_hat directly, for subgroups of unequal size: the limits + are then mean ± multiplier · sigma / sqrt(N_r) for each subgroup (10-1 manual Eqs 11-16, + 11-17), with sigma from :func:`subgroup_sigma_hat`. Without it, ``sd`` is S-bar and each + row's limits use S-bar / c4(N), which is the same thing when every N is equal. + :func:`calculate_limits` stays the scalar reference and is unchanged: it is what the - Bishop validator exercises, so keeping it independent means the 280 reference + Bishop validator exercises, so keeping it independent means the reference assertions remain a genuine check on this path rather than a check of it against itself. @@ -373,14 +407,18 @@ def _per_n(func, sizes, *args): return np.array([lookup[int(v)] for v in sizes.ravel()]).reshape(sizes.shape) if limits_type == 'Xbar': - if mean is None or sd is None or N is None: + if mean is None or (sd is None and sigma is None) or N is None: raise ValueError( - f'The limits calculation for {limits_type} requires (mean, sd, and N). ' - f'Got: mean={mean}, sd={sd}, N={N}' + f'The limits calculation for {limits_type} requires (mean, sd or sigma, and N). ' + f'Got: mean={mean}, sd={sd}, sigma={sigma}, N={N}' ) sizes = np.asarray(N) - # Wd = S / c4(n), then half-width = (multiplier * Wd) / sqrt(n) - half = (sigma_multiplier * (np.asarray(sd) / _per_n(c4, sizes))) / np.sqrt(sizes) + if sigma is not None: + # Eqs 11-16/11-17: half-width = multiplier * sigma_hat / sqrt(N_r) + half = (sigma_multiplier * float(sigma)) / np.sqrt(sizes) + else: + # Wd = S / c4(n), then half-width = (multiplier * Wd) / sqrt(n) + half = (sigma_multiplier * (np.asarray(sd) / _per_n(c4, sizes))) / np.sqrt(sizes) lpl, upl = np.asarray(mean) - half, np.asarray(mean) + half elif limits_type == 'S': @@ -398,13 +436,13 @@ def _per_n(func, sizes, *args): f'The limits calculation for {limits_type} requires (mean, and mR). ' f'Got: mean={mean}, mR={mR}' ) - half = XMR_LIMIT_MULTIPLIER * np.asarray(mR) + half = XMR_LIMIT_MULTIPLIER * np.asarray(mR) # 10-1 manual Eqs 12-10, 12-11 lpl, upl = np.asarray(mean) - half, np.asarray(mean) + half elif limits_type == 'R': if mR is None: raise ValueError(f'The limits calculation for {limits_type} requires (mR). Got: mR={mR}') - upl = np.asarray(mR) * R_UPPER_LIMIT_MULTIPLIER + upl = np.asarray(mR) * R_UPPER_LIMIT_MULTIPLIER # 10-1 manual Eq 12-5 lpl = np.zeros_like(upl) else: @@ -441,8 +479,8 @@ def calibrated_limits( sigma-scaled input that makes the existing formula emit the standards-given band: - - **Xbar** (location): inject ``sd = c4(N)·sigma`` → ``mean ± n_sigma·sigma/√N`` - (the ``c4`` cancels); center ``= mean``. + - **Xbar** (location): ``mean ± n_sigma·sigma/√N``, computed directly (injecting + ``sd = c4(N)·sigma`` would cancel, but c4 is undefined for a one-reading subgroup); center ``= mean``. - **S** (dispersion): inject ``sd = c4(N)·sigma`` → ``b3·(c4·sigma) = B5·sigma``, ``b4·(c4·sigma) = B6·sigma``; center ``= c4(N)·sigma``. - **XmR** (X individuals, location): inject ``mR = D2_N2·sigma`` → @@ -481,25 +519,24 @@ def calibrated_limits( if limits_type == 'Xbar': assert N is not None center = mean - lims = calculate_limits( - limits_type='Xbar', mean=mean, sd=c4(N) * sigma, N=N, - round_to=round_to, sigma_multiplier=n_sigma, - ) + # mean ± n_sigma·sigma/√N directly: a one-reading subgroup (N = 1) has no c4 to cancel + half = n_sigma * sigma / math.sqrt(N) + lims = pd.Series({'lpl': mean - half, 'upl': mean + half}, index=['lpl', 'upl']) elif limits_type == 'S': assert N is not None - center = c4(N) * sigma + center = c4(N) * sigma # E(S) = alpha_N·sigma (10-1 manual Eq 10-12) lims = calculate_limits( limits_type='S', mean=0, sd=c4(N) * sigma, N=N, round_to=round_to, sigma_multiplier=n_sigma, ) elif limits_type == 'XmR': - center = mean + center = mean # mean ± 3·sigma (10-1 manual Eq 12-6) lims = calculate_limits( limits_type='XmR', mean=mean, sd=0, N=0, mR=D2_N2 * sigma, round_to=round_to, ) elif limits_type == 'R': - center = D2_N2 * sigma + center = D2_N2 * sigma # E(R) = d2·sigma; limits 0 … D4·d2·sigma (10-1 manual Eqs 12-2, 12-3) lims = calculate_limits( limits_type='R', mean=0, sd=0, N=0, mR=D2_N2 * sigma, round_to=round_to, @@ -659,7 +696,7 @@ def suggest_chart_name(name: str) -> str: # labelled "Noise / Unexplained variation", which is R2's meaning, in a table that # also mapped `within_cell` to R2 and so contradicted itself. RESIDUAL_LABELS: dict[str, str] = { - # Bishop 13.1, "Centering the Original PM Data at 0": R1 = Y_ktn - Ybar.., the + # 10-1 manual Eq 14-2 (centring the original PM data at 0): R1 = Y_ktn - Ybar.., the # response re-expressed as +/- about zero. Not a within-subgroup quantity. 'R1': 'Response Centered at 0', 'R2': 'Within-Cell', diff --git a/processbehavior/study.py b/processbehavior/study.py index b2e343c..2d94afc 100644 --- a/processbehavior/study.py +++ b/processbehavior/study.py @@ -64,6 +64,10 @@ # Chart names have an equivalent in spc_constants.VALID_BASE_CHARTS, imported above. RESIDUAL_CODES = ALL_RESIDUALS +# Residuals that carry R2 (R3-R6 are an effect plus R2). When the layout leaves R2 undefined +# (AnalysisDataSet.r2_unavailable_reason) every one of them is unavailable. +_R2_FAMILY = frozenset({'R2', 'R3', 'R4', 'R5', 'R6'}) + def _base_residual_code(value: str) -> str: """'RCR5' -> 'R5', 'r2' -> 'R2'. Recentring does not change which chart a residual pairs with.""" @@ -1038,7 +1042,7 @@ def dataset(self) -> pd.DataFrame: - rsg: Rational subgroup identifier - Ybar, Ybar_k, Ybar_t, Ybar_kt: Hierarchical means - R1-R5: VAS residuals (where applicable for the SDS) - - RCR1-RCR5: Re-centered residuals (Y reconstructed from components) + - RCR1-RCR5: Re-centred residuals, R + Ybar (10-1 manual Eq 14-26; RCR2 = Ybar_kt + R2) Returns a copy to preserve immutability. The frame itself is immutable after formulate() — execute() never adds columns to it; request @@ -1233,10 +1237,11 @@ def residual_charts(self) -> list[tuple[str, str]]: ads_cols = set(self._ads.analysis_dataset.columns) # R6 is computed on-the-fly from R5+R2, so check prerequisites instead of column r6_available = {'R5', 'R2'}.issubset(ads_cols) + r2_ok = self._ads.r2_unavailable_reason is None return [ (chart, value) for chart, value in self._plan.residual_charts - if value in ads_cols or (value == 'R6' and r6_available) + if (value in ads_cols or (value == 'R6' and r6_available)) and (r2_ok or value not in _R2_FAMILY) ] @property @@ -1292,6 +1297,8 @@ def residuals(self) -> StudyResidualAccessor: available = sorted(r for r in ('R1', 'R2', 'R3', 'R4', 'R5') if r in ads_cols) if self._spec.rsg_vars_list and 'R5' in ads_cols: available.append('R6') + if self._ads.r2_unavailable_reason is not None: + available = [r for r in available if r not in _R2_FAMILY] return StudyResidualAccessor(available) @property @@ -1310,7 +1317,7 @@ def available_analysis_methods(self) -> pd.DataFrame: import pandas as pd ads_cols = set(self._ads.analysis_dataset.columns) - vas_available = 'R2' in ads_cols + vas_available = 'R2' in ads_cols and self._ads.r2_unavailable_reason is None rows = [ { @@ -2363,6 +2370,9 @@ def _residual_pair_problem(self, base_chart: str, value: str) -> str | None: """ base_residual = _base_residual_code(value) + if base_residual in _R2_FAMILY and self._ads.r2_unavailable_reason is not None: + return self._ads.r2_unavailable_reason + if base_chart in ('Histogram', 'mR'): return None @@ -2381,8 +2391,8 @@ def _validate_recentered(self, value: str | None) -> None: if not needs_residuals: raise ValidationError( 'recentered=True requires VAS decomposition (factors + time). ' - 'Recentered residuals (RCR) reconstruct values relative to ' - 'factor and time means, which require both to be specified.' + 'Recentered residuals (RCR) are the VAS residuals moved onto the ' + 'measurement scale (R + grand mean), which needs both to be specified.' ) recenterable = set(RESIDUAL_CODES) if value is None: diff --git a/simulation/mixed_subgroup_estimation.py b/simulation/mixed_subgroup_estimation.py index 0f72b25..dbe47c8 100644 --- a/simulation/mixed_subgroup_estimation.py +++ b/simulation/mixed_subgroup_estimation.py @@ -23,7 +23,7 @@ Wheeler, D. J. & Chambers, D. S. (1992). Understanding Statistical Process Control. Wheeler, D. J. (1995). Advanced Topics in Statistical Process Control. -Bishop, T. & Wheeler, D. J. (2024). Variance Analysis System (VAS). +Bishop, T. & Wheeler, D. J. (2024). Variation Analysis System (VAS). Author: Nicholas Hollingsworth Date: 2025-02 diff --git a/tests/fixtures/bishop_analyses/aco_medicare.json b/tests/fixtures/bishop_analyses/aco_medicare.json new file mode 100644 index 0000000..c60e2f1 --- /dev/null +++ b/tests/fixtures/bishop_analyses/aco_medicare.json @@ -0,0 +1,948 @@ +{ + "run": "aco_medicare", + "label": "Medicare ACO (PCE)", + "analytic_design_state": 2, + "specs": { + "lsl": 6000, + "usl": 16000, + "target": 11000 + }, + "chart_tolerance": 0.1, + "chart_tolerance_note": "VAS prints five-digit values to one decimal (half a unit: 0.05) and places the limits about a centre it rounds to six significant figures (up to 0.05 more), e.g. ACO-002 UBL 14807.4 where the exact limit is 14807.346.", + "source_file": "MEDICARE PCE.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the VAS deck (displayed precision).", + "pages_extracted": 57, + "capability": { + "pp": 0.85, + "ppk_upper": 0.88, + "ppk_lower": 0.82, + "pct_below_lsl": 0.0, + "pct_above_usl": 2.08, + "cp": 5.55, + "cpk_upper": 5.74, + "cpk_lower": 5.36, + "potential_pct_below_lsl": 0.0, + "potential_pct_above_usl": 0.0 + }, + "loss": { + "pct_pdc": 68.5, + "pct_time": 28.0, + "pct_unexplained": 2.3, + "pct_centering": 0.7, + "pct_interaction": 0.4 + }, + "items": [ + { + "page_number": 1, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Analysis of PDCxPT Individuals Chart", + "chart_subtitle": "PCE", + "context_subtitle": null, + "variable": "R1 RESIDUALS", + "CL": 10832.4, + "LBL": 6994.1, + "UBL": 14670.7, + "axis_labels": null, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2" + }, + "notes": null + }, + { + "page_number": 2, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Analysis of PDCxPT Moving Range Chart", + "chart_subtitle": "PCE", + "context_subtitle": null, + "variable": "MOVING RANGE", + "CL": 1443.21, + "LBL": 0.0, + "UBL": 4715.38, + "axis_labels": null, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2" + }, + "notes": null + }, + { + "page_number": 3, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Analysis of PDCxPT Individuals Chart", + "chart_subtitle": "PCE", + "context_subtitle": "PDC RSG - ACO-001", + "variable": "R1 RESIDUALS", + "CL": 9747.59, + "LBL": 7503.91, + "UBL": 11991.3, + "axis_labels": null, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2" + }, + "notes": null + }, + { + "page_number": 4, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Analysis of PDCxPT Moving Range Chart", + "chart_subtitle": "PCE", + "context_subtitle": "PDC RSG - ACO-001", + "variable": "MOVING RANGE", + "CL": 843.62, + "LBL": 0.0, + "UBL": 2756.36, + "axis_labels": null, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2" + }, + 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"variable": "RSG AVG", + "CL": 299.54, + "LBL": 299.28, + "UBL": 299.8, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 25, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM SDS 1 KNOWN", + "context_subtitle": "PD Factor - F1", + "variable": "RSG STDEV", + "CL": 2.71, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": "One subgroup per factor level (confirmed by Dr. Bishop, 10/8/2026). These subgroups have more than 343 values, and the 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343 (Minitab's GAMMA limit), so its limits follow N = 500; limits pending his rerun with alpha_N from a table." + }, + { + "page_number": 26, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM SDS 1 KNOWN", + "context_subtitle": "PD Factor - F2", + "variable": "RSG AVG", + "CL": 299.54, + "LBL": 299.36, + "UBL": 299.72, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 27, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM SDS 1 KNOWN", + "context_subtitle": "PD Factor - F2", + "variable": "RSG STDEV", + "CL": 2.71, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": "One subgroup per factor level (confirmed by Dr. Bishop, 10/8/2026). These subgroups have more than 343 values, and the 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343 (Minitab's GAMMA limit), so its limits follow N = 500; limits pending his rerun with alpha_N from a table." + }, + { + "page_number": 28, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Averages", + "chart_subtitle": "PM SDS 1 KNOWN", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 299.54, + "LBL": 295.47, + "UBL": 303.61, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 29, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Standard Deviations", + "chart_subtitle": "PM SDS 1 KNOWN", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 2.85, + "LBL": 0.0, + "UBL": 5.96, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 30, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 31, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 32, + "analysis_title": "Potential Process Capability", + "chart_title": "PM1 H TITLE 1", + "chart_subtitle": "PM SDS 1 KNOWN", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM1", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 33, + "analysis_title": "Test of Maximum Information", + "chart_title": "R2 Residuals Individuals Chart", + "chart_subtitle": "PM SDS 1 KNOWN", + "context_subtitle": null, + "variable": "R2 RESIDUALS", + "CL": 0.0, + "LBL": -8.89, + "UBL": 8.89, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 34, + "analysis_title": "Maximum Information Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM1", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + } + ] +} diff --git a/tests/fixtures/bishop_analyses/pm_inert_sds_1.json b/tests/fixtures/bishop_analyses/pm_inert_sds_1.json new file mode 100644 index 0000000..97cbf6b --- /dev/null +++ b/tests/fixtures/bishop_analyses/pm_inert_sds_1.json @@ -0,0 +1,683 @@ +{ + "run": "pm_inert_sds_1", + "label": "PM INERT", + "analytic_design_state": 1, + "specs": { + "lsl": -3, + "usl": 3, + "target": 0 + }, + "source_file": "PM1 INERT.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the VAS deck (displayed precision); page structure and null pattern from the PM SDS reference 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Main Effects Analysis", + "chart_title": "Analysis of PT RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 0.89, + "LBL": 0.59, + "UBL": 1.2, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 24, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM INERT", + "context_subtitle": "PD Factor - F1", + "variable": "RSG AVG", + "CL": 0.0, + "LBL": -0.08, + "UBL": 0.09, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 25, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT", + "context_subtitle": "PD Factor - F1", + "variable": "RSG STDEV", + "CL": 0.89, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": "One subgroup per factor level (confirmed by Dr. Bishop, 10/8/2026). These subgroups have more than 343 values, and the 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343 (Minitab's GAMMA limit), so its limits follow N = 500; limits pending his rerun with alpha_N from a table." + }, + { + "page_number": 26, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM INERT", + "context_subtitle": "PD Factor - F2", + "variable": "RSG AVG", + "CL": 0.0, + "LBL": -0.06, + "UBL": 0.06, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 27, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT", + "context_subtitle": "PD Factor - F2", + "variable": "RSG STDEV", + "CL": 0.89, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": "One subgroup per factor level (confirmed by Dr. Bishop, 10/8/2026). These subgroups have more than 343 values, and the 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343 (Minitab's GAMMA limit), so its limits follow N = 500; limits pending his rerun with alpha_N from a table." + }, + { + "page_number": 28, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Averages", + "chart_subtitle": "PM INERT", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 0.0, + "LBL": -1.33, + "UBL": 1.34, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 29, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 0.94, + "LBL": 0.0, + "UBL": 1.96, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 30, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 31, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 32, + "analysis_title": "Potential Process Capability", + "chart_title": "PM1 H TITLE 1", + "chart_subtitle": "PM INERT", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM1", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 33, + "analysis_title": "Test of Maximum Information", + "chart_title": "R2 Residuals Individuals Chart", + "chart_subtitle": "PM INERT", + "context_subtitle": null, + "variable": "R2 RESIDUALS", + "CL": 0.0, + "LBL": -2.94, + "UBL": 2.94, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 34, + "analysis_title": "Maximum Information Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM1", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + } + ] +} diff --git a/tests/fixtures/bishop_analyses/vassds3analysis.json b/tests/fixtures/bishop_analyses/pm_inert_sds_2.json similarity index 61% rename from tests/fixtures/bishop_analyses/vassds3analysis.json rename to tests/fixtures/bishop_analyses/pm_inert_sds_2.json index 0308334..4a6457f 100644 --- a/tests/fixtures/bishop_analyses/vassds3analysis.json +++ b/tests/fixtures/bishop_analyses/pm_inert_sds_2.json @@ -1,24 +1,54 @@ { - "source_file": "vassds3analysis.pptm", - "extraction_method": "Structured extraction from rendered slide images with OCR-assisted normalization; some noisy OCR fields were corrected using repeated neighboring-slide patterns.", + "run": "pm_inert_sds_2", + "label": "PM INERT SDS 2", + "analytic_design_state": 2, + "specs": { + "lsl": -3, + "usl": 3, + "target": 0 + }, + "source_file": "PM2 INERT.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the VAS deck (displayed precision); page structure and null pattern from the PM SDS reference for the same ADS.", "pages_extracted": 34, + "capability": { + "pp": 1.01, + "ppk_upper": 0.99, + "ppk_lower": 1.04, + "pct_below_lsl": 0.13, + "pct_above_usl": 0.5, + "cp": 1.01, + "cpk_upper": 0.98, + "cpk_lower": 1.03, + "potential_pct_below_lsl": 0.5, + "potential_pct_above_usl": 0.25 + }, + "loss": { + "pct_unexplained": 87.6, + "pct_time": 10.5, + "pct_pdc": 1.4, + "pct_centering": 0.5, + "pct_interaction": 0.0, + "pct_pdc_f2": 1.0, + "pct_pdc_factor_interaction": 0.3, + "pct_pdc_f1": 0.1 + }, "items": [ { "page_number": 1, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "PM Individuals Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": null, - "variable": "PM3", - "CL": 237.81, - "LBL": 234.9, - "UBL": 240.72, + "variable": "PM2", + "CL": 0.08, + "LBL": -2.78, + "UBL": 2.94, "axis_labels": { "x": "PDCxPT RSG", "y": "Individual Value" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -26,18 +56,18 @@ "page_number": 2, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "Moving Range Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": null, "variable": "MOVING RANGE", - "CL": 1.1, + "CL": 1.07, "LBL": 0.0, - "UBL": 3.58, + "UBL": 3.51, "axis_labels": { "x": "PDCxPT RSG", "y": "Moving Range" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -45,18 +75,18 @@ "page_number": 3, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "PM Individuals Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 1-1", - "variable": "PM3", - "CL": 238.2, - "LBL": 235.5, - "UBL": 240.9, + "variable": "PM2", + "CL": 0.23, + "LBL": -2.33, + "UBL": 2.78, "axis_labels": { "x": "PT RSG", "y": "Individual Value" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -64,18 +94,18 @@ "page_number": 4, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "Moving Range Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 1-1", "variable": "MOVING RANGE", - "CL": 1.02, + "CL": 0.96, "LBL": 0.0, - "UBL": 3.32, + "UBL": 3.14, "axis_labels": { "x": "PT RSG", "y": "Moving Range" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -83,18 +113,18 @@ "page_number": 5, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "PM Individuals Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 1-2", - "variable": "PM3", - "CL": 238.66, - "LBL": 235.81, - "UBL": 241.51, + "variable": "PM2", + "CL": -0.09, + "LBL": -2.92, + "UBL": 2.74, "axis_labels": { "x": "PT RSG", "y": "Individual Value" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -102,18 +132,18 @@ "page_number": 6, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "Moving Range Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 1-2", "variable": "MOVING RANGE", - "CL": 1.07, + "CL": 1.06, "LBL": 0.0, - "UBL": 3.5, + "UBL": 3.47, "axis_labels": { "x": "PT RSG", "y": "Moving Range" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -121,18 +151,18 @@ "page_number": 7, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "PM Individuals Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 2-1", - "variable": "PM3", - "CL": 237.3, - "LBL": 234.47, - "UBL": 240.13, + "variable": "PM2", + "CL": 0.2, + "LBL": -2.24, + "UBL": 2.64, "axis_labels": { "x": "PT RSG", "y": "Individual Value" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -140,18 +170,18 @@ "page_number": 8, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "Moving Range Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 2-1", "variable": "MOVING RANGE", - "CL": 1.06, + "CL": 0.92, "LBL": 0.0, - "UBL": 3.48, + "UBL": 3.0, "axis_labels": { "x": "PT RSG", "y": "Moving Range" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -159,18 +189,18 @@ "page_number": 9, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "PM Individuals Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 2-2", - "variable": "PM3", - "CL": 238.99, - "LBL": 236.2, - "UBL": 241.79, + "variable": "PM2", + "CL": 0.06, + "LBL": -3.08, + "UBL": 3.2, "axis_labels": { "x": "PT RSG", "y": "Individual Value" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -178,18 +208,18 @@ "page_number": 10, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "Moving Range Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 2-2", "variable": "MOVING RANGE", - "CL": 1.05, + "CL": 1.18, "LBL": 0.0, - "UBL": 3.43, + "UBL": 3.86, "axis_labels": { "x": "PT RSG", "y": "Moving Range" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -197,18 +227,18 @@ "page_number": 11, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "PM Individuals Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 3-1", - "variable": "PM3", - "CL": 236.66, - "LBL": 233.58, - "UBL": 239.73, + "variable": "PM2", + "CL": 0.21, + "LBL": -2.68, + "UBL": 3.11, "axis_labels": { "x": "PT RSG", "y": "Individual Value" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -216,18 +246,18 @@ "page_number": 12, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "Moving Range Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 3-1", "variable": "MOVING RANGE", - "CL": 1.16, + "CL": 1.09, "LBL": 0.0, - "UBL": 3.78, + "UBL": 3.55, "axis_labels": { "x": "PT RSG", "y": "Moving Range" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -235,18 +265,18 @@ "page_number": 13, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "PM Individuals Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 3-2", - "variable": "PM3", - "CL": 237.03, - "LBL": 234.01, - "UBL": 240.05, + "variable": "PM2", + "CL": -0.12, + "LBL": -2.98, + "UBL": 2.74, "axis_labels": { "x": "PT RSG", "y": "Individual Value" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -254,18 +284,18 @@ "page_number": 14, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "Moving Range Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 3-2", "variable": "MOVING RANGE", - "CL": 1.14, + "CL": 1.07, "LBL": 0.0, - "UBL": 3.71, + "UBL": 3.51, "axis_labels": { "x": "PT RSG", "y": "Moving Range" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -273,18 +303,18 @@ "page_number": 15, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "PM Individuals Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 4-1", - "variable": "PM3", - "CL": 237.51, - "LBL": 234.53, - "UBL": 240.48, + "variable": "PM2", + "CL": 0.1, + "LBL": -2.83, + "UBL": 3.03, "axis_labels": { "x": "PT RSG", "y": "Individual Value" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -292,18 +322,18 @@ "page_number": 16, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "Moving Range Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 4-1", "variable": "MOVING RANGE", - "CL": 1.12, + "CL": 1.1, "LBL": 0.0, - "UBL": 3.65, + "UBL": 3.6, "axis_labels": { "x": "PT RSG", "y": "Moving Range" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -311,18 +341,18 @@ "page_number": 17, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "PM Individuals Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 4-2", - "variable": "PM3", - "CL": 238.14, - "LBL": 235.23, - "UBL": 241.06, + "variable": "PM2", + "CL": 0.03, + "LBL": -3.19, + "UBL": 3.25, "axis_labels": { "x": "PT RSG", "y": "Individual Value" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -330,94 +360,94 @@ "page_number": 18, "analysis_title": "Analysis of Original Performance Measurement Behavior", "chart_title": "Moving Range Chart", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PDC RSG - 4-2", "variable": "MOVING RANGE", - "CL": 1.1, + "CL": 1.21, "LBL": 0.0, - "UBL": 3.58, + "UBL": 3.95, "axis_labels": { "x": "PT RSG", "y": "Moving Range" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, { "page_number": 19, "analysis_title": "Current Process Capability", - "chart_title": "PM3 H TITLE 1", - "chart_subtitle": "PM3 H TITLE 2", + "chart_title": "PM2 H TITLE 1", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": null, "variable": null, "CL": null, "LBL": null, "UBL": null, "axis_labels": { - "x": "PM3 in Grams", + "x": "PM2 in Grams", "y": "Percent" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, - "notes": "Chart title placeholders 'H TITLE 1/2' appear unreplaced in source slide." + "notes": null }, { "page_number": 20, "analysis_title": "Process Design Condition Main Effects Analysis", "chart_title": "Analysis of PDC RSG Sample Averages", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": null, "variable": "RSG AVG", - "CL": 237.83, - "LBL": null, - "UBL": null, + "CL": 0.08, + "LBL": -0.22, + "UBL": 0.38, "axis_labels": { "x": "PDC RSG", "y": "Sample Average" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, { "page_number": 21, - "analysis_title": "Process Design Factor Main Effects Analysis", - "chart_title": "Analysis of PD Factor Sample Standard Deviations", - "chart_subtitle": "PM3 in Grams", + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": null, "variable": "RSG STDEV", - "CL": 0.71, - "LBL": null, - "UBL": null, + "CL": 0.99, + "LBL": 0.78, + "UBL": 1.2, "axis_labels": { "x": "PDC RSG", "y": "Sample Standard Deviation" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, - "notes": "Title OCR was noisy on the slide image; chart context indicates a standard-deviation main-effects chart." + "notes": null }, { "page_number": 22, "analysis_title": "Production Time Main Effects Analysis", "chart_title": "Analysis of PT RSG Sample Averages", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": null, "variable": "RSG AVG", - "CL": 237.83, - "LBL": null, - "UBL": null, + "CL": 0.08, + "LBL": -1.03, + "UBL": 1.19, "axis_labels": { "x": "PT RSG", "y": "Sample Average" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, @@ -425,18 +455,18 @@ "page_number": 23, "analysis_title": "Production Time Main Effects Analysis", "chart_title": "Analysis of PT RSG Sample Standard Deviations", - "chart_subtitle": "PM3 in Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": null, "variable": "RSG STDEV", - "CL": 0.71, - 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Grams", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PD Factor - F2", "variable": "RSG AVG", - "CL": 237.82, - "LBL": null, - "UBL": null, + "CL": 0.08, + "LBL": -0.07, + "UBL": 0.23, "axis_labels": { "x": "PD Factor RSG", "y": "Sample Average" }, "package": { - "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, "notes": null }, { "page_number": 27, - "analysis_title": "Process Design Factor Main Effects Analysis", - "chart_title": "Analysis of PD Factor Sample Standard Deviations", - "chart_subtitle": "PM3 in Grams", + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 2", "context_subtitle": "PD Factor - F2", "variable": "RSG STDEV", - "CL": 0.71, + "CL": 0.99, "LBL": null, "UBL": null, "axis_labels": { @@ -512,26 +542,26 @@ "y": "Sample Standard Deviation" }, 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Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 33, + "analysis_title": "Test of Maximum Information", + "chart_title": "R2 Residuals Individuals Chart", + "chart_subtitle": "PM INERT SDS 3", + "context_subtitle": null, + "variable": "R2 RESIDUALS", + "CL": 0.0, + "LBL": -4.05, + "UBL": 4.05, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Residual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 34, + "analysis_title": "Maximum Information Analysis", + "chart_title": null, + "chart_subtitle": "PM INERT SDS 3", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM3 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + } + ], + "drawn_limits_method": "Where VAS prints \"UNEQUAL\", the LBL/UBL of every subgroup are read from the red limit lines in the chart drawing (EMF, 576 x 384 units) and scaled by the y-axis ticks: good to about one drawing unit ('unit', in the response's units)." +} diff --git a/tests/fixtures/bishop_analyses/pm_inert_sds_4.json b/tests/fixtures/bishop_analyses/pm_inert_sds_4.json new file mode 100644 index 0000000..bbeee42 --- /dev/null +++ b/tests/fixtures/bishop_analyses/pm_inert_sds_4.json @@ -0,0 +1,1101 @@ +{ + "run": "pm_inert_sds_4", + "label": "PM INERT SDS 4", + "analytic_design_state": 1, + "specs": { + "lsl": -3, + "usl": 3, + "target": 0 + }, + "source_file": "PM4 INERT.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the VAS deck (displayed precision); page structure and null pattern from the PM SDS reference for the same ADS.", + "pages_extracted": 34, + "capability": { + "pp": 1.01, 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Behavior", + "chart_title": "Analysis of PM Sample Averages", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": "PDC RSG - 4-2", + "variable": "RSG AVG", + "CL": 0.05, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.02041, + "levels": [ + -2.0408, + -1.6531, + -1.4286, + -1.2653, + 1.3673, + 1.5306, + 1.7551, + 2.1429 + ], + "LBL": "2000011100020220300010100200200011102100111220000100120011111102002112000001222", + "UBL": "5777766677757557477767677577577766675677666557777677657766666675775665777776555" + } + }, + { + "page_number": 18, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Analysis of PM Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": "PDC RSG - 4-2", + "variable": "RSG STDEV", + "CL": 0.84, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01401, + "levels": [ + -0.0035, + 1.7482, + 1.9024, + 2.1547, + 2.7292 + ], + "LBL": "0000000000000000000000000000000000000000000000000000000000000000000000000000000", + "UBL": "2444433344424224144434344244244433342344333224444344324433333342442332444443222" + } + }, + { + "page_number": 19, + "analysis_title": "Current Process Capability", + "chart_title": "PM1 H TITLE 1", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM1", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 20, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Averages", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 0.0, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDC RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.0018, + "levels": [ + -0.1605, + -0.1497, + 0.1501, + 0.1609 + ], + "LBL": "01011000", + "UBL": "32322333" + } + }, + { + "page_number": 21, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 0.8, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDC RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00112, + "levels": [ + 0.68, + 0.6901, + 0.9002, + 0.9103 + ], + "LBL": "01011000", + "UBL": "32322333" + } + }, + { + "page_number": 22, + "analysis_title": "Production Time Main Effects Analysis", + "chart_title": "Analysis of PT RSG Sample Averages", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 0.01, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00738, + "levels": [ + -0.7507, + -0.7064, + -0.6769, + -0.6622, + -0.6327, + -0.6105, + -0.5884, + -0.5663, + -0.5589, + -0.5368, + -0.5294, + -0.5073, + -0.4999, + -0.4925, + -0.4778, + -0.4704, + -0.4556, + -0.4483, + -0.4409, + 0.4515, + 0.4737, + 0.481, + 0.4958, + 0.5032, + 0.5253, + 0.5327, + 0.5401, + 0.5548, + 0.5696, + 0.5917, + 0.5991, + 0.6212, + 0.6433, + 0.6728, + 0.7023, + 0.7318, + 0.7613 + ], + "LBL": "bc546b88943eeb6b5e7ieb74d4dc696ca78697h25b33cbfaaa4978889d078696h994a97fh9b08b19ac9b3gaa89882439bd3a", + "UBL": "povwupssrwxmmpupvmtjmptwnwnouruoqtsurtkyvpxxoplqqqwrtsssrnAtsurukrrwqrtlkrpAspzrqorpxkqqsrssywxrpnxq" + } + }, + { + "page_number": 23, + "analysis_title": "Production Time Main Effects Analysis", + "chart_title": "Analysis of PT RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 0.78, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00552, + "levels": [ + 0.2225, + 0.2501, + 0.2832, + 0.2998, + 0.3219, + 0.344, + 0.3495, + 0.3716, + 0.3826, + 0.3937, + 0.3992, + 0.4103, + 0.4213, + 0.4323, + 0.4434, + 0.4489, + 0.46, + 0.471, + 1.1006, + 1.1116, + 1.1227, + 1.1337, + 1.1393, + 1.1503, + 1.1613, + 1.1724, + 1.1834, + 1.189, + 1.2, + 1.2221, + 1.2331, + 1.2497, + 1.2718, + 1.2884, + 1.3215, + 1.3491 + ], + "LBL": "bc546b88943eeb6b5e7heb74d4dc696ca78697g25b33cbeaaa4978889d078696g994a97eg9b08b19ac9b3faa89882439bd3a", + "UBL": "onuvtorrqvwllotoulsilosvmvmntqtnpsrtqsjxuowwnolpppvqsrrrqmzsrtqtjqqvpqsljqozroyqpnqowkpprqrrxvwqomwp" + } + }, + { + "page_number": 24, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": "PD Factor - F1", + "variable": "RSG AVG", + "CL": 0.0, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00107, + "levels": [ + -0.1096, + 0.1099 + ], + "LBL": "0000", + "UBL": "1111" + } + }, + { + "page_number": 25, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": "PD Factor - F1", + "variable": "RSG STDEV", + "CL": 0.79, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": "One subgroup per factor level (confirmed by Dr. Bishop, 10/8/2026). These subgroups have more than 343 values, and the 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343 (Minitab's GAMMA limit), so its limits follow N = 500; limits pending his rerun with alpha_N from a table.", + "drawn_limits": { + "unit": 0.00081, + "levels": [ + 0.7201, + 0.8698 + ], + "LBL": "0000", + "UBL": "1111", + "pending": "A subgroup here has 343 or more values. The 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows, so its S limits follow N = 500 instead of the subgroup's own N (confirmed by Dr. Bishop, 10/8/2026). Pending his rerun with alpha_N from a table." + } + }, + { + "page_number": 26, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": "PD Factor - F2", + "variable": "RSG AVG", + "CL": 0.0, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.0009, + "levels": [ + -0.0803, + 0.0804 + ], + "LBL": "00", + "UBL": "11" + } + }, + { + "page_number": 27, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": "PD Factor - F2", + "variable": "RSG STDEV", + "CL": 0.79, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": "One subgroup per factor level (confirmed by Dr. Bishop, 10/8/2026). These subgroups have more than 343 values, and the 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343 (Minitab's GAMMA limit), so its limits follow N = 500; limits pending his rerun with alpha_N from a table.", + "drawn_limits": { + "unit": 0.00081, + "levels": [ + 0.7201, + 0.8698 + ], + "LBL": "00", + "UBL": "11", + "pending": "A subgroup here has 343 or more values. The 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows, so its S limits follow N = 500 instead of the subgroup's own N (confirmed by Dr. Bishop, 10/8/2026). Pending his rerun with alpha_N from a table." + } + }, + { + "page_number": 28, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Averages", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 0.0, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.02, + "levels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} + }, + { + "page_number": 29, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 0.84, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01677, + "levels": [ + -0.0028, + 1.7584, + 1.9093, + 2.1609, + 2.7312 + ], + "LBL": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "UBL": "342443334342221443344241443332334332233244434433433232443234444334223444243123443334333322332234413334133432234142334334433243242422323342432223334242334334433342433343443334242333421322441221334423232332434334423333333122442432433434344433324144344242432423242223341333342344442441324343134341412433234423243434344433243433442212444232113324243334333242234143433444332423444342342432133324443233324233433324432334444334332322342323344333133233232444344444333434343431434344433444322342343333432442334444424444342433233444442423323344343244323411224443343343334342444433344424224144434344244244433342344333224444344324433333342442332444443222" + } + }, + { + "page_number": 30, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 31, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 32, + "analysis_title": "Potential Process Capability", + "chart_title": "PM1 H TITLE 1", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM1", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 33, + "analysis_title": "Test of Maximum Information", + "chart_title": "R2 Residuals Individuals Chart", + "chart_subtitle": "PM INERT SDS 4", + "context_subtitle": null, + "variable": "R2 RESIDUALS", + "CL": 0.0, + "LBL": -2.69, + "UBL": 2.69, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 34, + "analysis_title": "Maximum Information Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM1", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + } + ], + "drawn_limits_method": "Where VAS prints \"UNEQUAL\", the LBL/UBL of every subgroup are read from the red limit lines in the chart drawing (EMF, 576 x 384 units) and scaled by the y-axis ticks: good to about one drawing unit ('unit', in the response's units)." +} diff --git a/tests/fixtures/bishop_analyses/pm_inert_sds_5.json b/tests/fixtures/bishop_analyses/pm_inert_sds_5.json new file mode 100644 index 0000000..df98644 --- /dev/null +++ b/tests/fixtures/bishop_analyses/pm_inert_sds_5.json @@ -0,0 +1,786 @@ +{ + "run": "pm_inert_sds_5", + "label": "PM INERT SDS 5", + "analytic_design_state": 2, + "specs": { + "lsl": -3, + "usl": 3, + "target": 0 + }, + "source_file": "PM5 INERT.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the VAS deck (displayed precision); page structure and null pattern from the PM SDS reference for the same ADS.", + "pages_extracted": 34, + "capability": { + "pp": 1.0, + "ppk_upper": 0.98, + "ppk_lower": 1.03, + "pct_below_lsl": 0.16, + "pct_above_usl": 0.62, + "cp": 1.02, + "cpk_upper": 1.0, + "cpk_lower": 1.05, + "potential_pct_below_lsl": 0.31, + "potential_pct_above_usl": 0.16 + }, + "loss": { + "pct_unexplained": 84.0, + "pct_time": 14.0, + "pct_pdc": 1.5, + "pct_centering": 0.5, + "pct_interaction": 0.0, + "pct_pdc_f2": 1.0, + "pct_pdc_factor_interaction": 0.4, + "pct_pdc_f1": 0.1 + }, + "items": [ + { + "page_number": 1, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": "PM2", + "CL": 0.07, + "LBL": -2.82, + "UBL": 2.97, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 2, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": "MOVING RANGE", + "CL": 1.09, + "LBL": 0.0, + "UBL": 3.56, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 3, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 1-1", + "variable": "PM2", + "CL": 0.24, + "LBL": -2.53, + "UBL": 3.0, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 4, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 1-1", + "variable": "MOVING RANGE", + "CL": 1.04, + "LBL": 0.0, + "UBL": 3.4, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 5, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 1-2", + "variable": "PM2", + "CL": -0.13, + "LBL": -2.8, + "UBL": 2.54, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 6, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 1-2", + "variable": "MOVING RANGE", + "CL": 1.0, + "LBL": 0.0, + "UBL": 3.28, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 7, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 2-1", + "variable": "PM2", + "CL": 0.21, + "LBL": -2.35, + "UBL": 2.77, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 8, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 2-1", + "variable": "MOVING RANGE", + "CL": 0.96, + "LBL": 0.0, + "UBL": 3.15, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 9, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 2-2", + "variable": "PM2", + "CL": 0.03, + "LBL": -2.97, + "UBL": 3.04, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 10, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 2-2", + "variable": "MOVING RANGE", + "CL": 1.13, + "LBL": 0.0, + "UBL": 3.69, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 11, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 3-1", + "variable": "PM2", + "CL": 0.23, + "LBL": -2.8, + "UBL": 3.26, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 12, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 3-1", + "variable": "MOVING RANGE", + "CL": 1.14, + "LBL": 0.0, + "UBL": 3.72, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 13, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 3-2", + "variable": "PM2", + "CL": -0.07, + "LBL": -2.89, + "UBL": 2.75, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 14, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 3-2", + "variable": "MOVING RANGE", + "CL": 1.06, + "LBL": 0.0, + "UBL": 3.46, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 15, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 4-1", + "variable": "PM2", + "CL": 0.07, + "LBL": -2.93, + "UBL": 3.08, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 16, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 4-1", + "variable": "MOVING RANGE", + "CL": 1.13, + "LBL": 0.0, + "UBL": 3.69, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 17, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 4-2", + "variable": "PM2", + "CL": 0.0, + "LBL": -3.33, + "UBL": 3.34, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 18, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PDC RSG - 4-2", + "variable": "MOVING RANGE", + "CL": 1.25, + "LBL": 0.0, + "UBL": 4.1, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 19, + "analysis_title": "Current Process Capability", + "chart_title": "PM2 H TITLE 1", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM2 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 20, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Averages", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 0.07, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDC RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.0036, + "levels": [ + -0.2685, + -0.2613, + -0.2505, + -0.2397, + 0.3905, + 0.4013, + 0.4121, + 0.4193 + ], + "LBL": "10121223", + "UBL": "57645554" + } + }, + { + "page_number": 21, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 0.97, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDC RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00243, + "levels": [ + 0.7304, + 0.7402, + 0.7499, + 1.1995, + 1.2093, + 1.219 + ], + "LBL": "10121212", + "UBL": "45434343" + } + }, + { + "page_number": 22, + "analysis_title": "Production Time Main Effects Analysis", + "chart_title": "Analysis of PT RSG Sample Averages", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 0.08, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01613, + "levels": [ + -1.4516, + -1.2903, + -1.1774, + -1.0806, + -1.0, + 1.1774, + 1.2581, + 1.3548, + 1.4677, + 1.629 + ], + "LBL": 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"8856857656565765665564765667466648454755754467647446475456546455475566665766665765555564847775565665" + } + }, + { + "page_number": 24, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PD Factor - F1", + "variable": "RSG AVG", + "CL": 0.08, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00238, + "levels": [ + -0.1595, + -0.15, + 0.3, + 0.3119 + ], + "LBL": "0001", + "UBL": "3332" + } + }, + { + "page_number": 25, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PD Factor - F1", + "variable": "RSG STDEV", + "CL": 0.98, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00182, + "levels": [ + 0.8109, + 0.82, + 1.1418, + 1.1509 + ], + "LBL": "0001", + "UBL": "3222" + } + }, + { + "page_number": 26, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PD Factor - F2", + "variable": "RSG AVG", + "CL": 0.08, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00161, + "levels": [ + -0.0903, + 0.2403 + ], + "LBL": "00", + "UBL": "11" + } + }, + { + "page_number": 27, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": "PD Factor - F2", + "variable": "RSG STDEV", + "CL": 0.98, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00117, + "levels": [ + 0.8597, + 1.0907, + 1.1001 + ], + "LBL": "00", + "UBL": "21" + } + }, + { + "page_number": 28, + "analysis_title": "Analysis of PDCxPT Interaction", + "chart_title": "R3 Residuals Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": "R3 RESIDUALS", + "CL": 0.07, + "LBL": -5.88, + "UBL": 6.03, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 29, + "analysis_title": "Analysis of R3 Residuals", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": "MOVING RANGE", + "CL": 2.24, + "LBL": 0.0, + "UBL": 7.31, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 30, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM2 in Grams", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 31, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM2 in Grams", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 32, + "analysis_title": "Potential Process Capability", + "chart_title": "PM2 H TITLE 1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM2 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 33, + "analysis_title": "Test of Maximum Information", + "chart_title": "R2 Residuals Individuals Chart", + "chart_subtitle": "PM INERT SDS 5", + "context_subtitle": null, + "variable": "R2 RESIDUALS", + "CL": 0.0, + "LBL": -3.51, + "UBL": 3.51, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 34, + "analysis_title": "Maximum Information Analysis", + "chart_title": "PM2 in Grams", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM2 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + } + ], + "drawn_limits_method": "Where VAS prints \"UNEQUAL\", the LBL/UBL of every subgroup are read from the red limit lines in the chart drawing (EMF, 576 x 384 units) and scaled by the y-axis ticks: good to about one drawing unit ('unit', in the response's units)." +} diff --git a/tests/fixtures/bishop_analyses/pm_inert_sds_6.json b/tests/fixtures/bishop_analyses/pm_inert_sds_6.json new file mode 100644 index 0000000..7d282b7 --- /dev/null +++ b/tests/fixtures/bishop_analyses/pm_inert_sds_6.json @@ -0,0 +1,1112 @@ +{ + "run": "pm_inert_sds_6", + "label": "PM INERT SDS 6", + "analytic_design_state": 3, + "specs": { + "lsl": -3, + "usl": 3, + "target": 0 + }, + "source_file": "PM6 INERT.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the VAS deck (displayed precision); page structure and null pattern from the PM SDS reference for the same ADS.", + "pages_extracted": 34, + "capability": { + "pp": 1.01, + "ppk_upper": 1.01, + "ppk_lower": 1.01, + "pct_below_lsl": 0.1, + "pct_above_usl": 0.1, + "cp": 0.95, + "cpk_upper": 0.95, + "cpk_lower": 0.94, + "potential_pct_below_lsl": 0.3, + "potential_pct_above_usl": 0.3 + }, + "loss": { + "pct_unexplained": 93.5, + "pct_time": 6.0, + "pct_pdc": 0.5, + "pct_centering": 0.0, + "pct_interaction": 0.0, + "pct_pdc_f1": 0.2, + "pct_pdc_factor_interaction": 0.2, + "pct_pdc_f2": 0.0 + }, + "items": [ + { + "page_number": 1, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Analysis of PM Sample Averages", + "chart_subtitle": "PM INERT SDS 6", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": -0.01, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.0284, + "levels": [ + -2.9128, + -2.0609, + -1.6917, + -1.4645, + -1.3225, + 1.2901, + 1.4604, + 1.6876, + 2.0568, + 2.9087 + ], + "LBL": 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"context_subtitle": null, + "variable": "RSG STDEV", + "CL": 0.84, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01677, + "levels": [ + -0.0028, + 1.7584, + 1.9093, + 2.1609, + 2.7312 + ], + "LBL": 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Pending his rerun with alpha_N from a table." + } + }, + { + "page_number": 26, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM INERT SDS 6", + "context_subtitle": "PD Factor - F2", + "variable": "RSG AVG", + "CL": -0.01, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00099, + "levels": [ + -0.1099, + 0.0903 + ], + "LBL": "00", + "UBL": "11" + } + }, + { + "page_number": 27, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 6", + "context_subtitle": "PD Factor - F2", + "variable": "RSG STDEV", + "CL": 1.06, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00098, + "levels": [ + 0.9602, + 1.16 + ], + "LBL": "00", + "UBL": "11", + "pending": "A subgroup here has 343 or more values. The 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows, so its S limits follow N = 500 instead of the subgroup's own N (confirmed by Dr. Bishop, 10/8/2026). Pending his rerun with alpha_N from a table." + } + }, + { + "page_number": 28, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Averages", + "chart_subtitle": "PM INERT SDS 6", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": -0.03, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.04562, + "levels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} + }, + { + "page_number": 29, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Standard Deviations", + "chart_subtitle": "PM INERT SDS 6", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 1.05, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.02355, + "levels": [ + 0.0034, + 2.1938, + 2.3822, + 2.712, + 3.4421 + ], + "LBL": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "UBL": "342443334342221443344241443332334332233244434433433232443234444334223444243123443334333322332234413334133432234142334334433243242422323342432223334242334334433342433343443334242333421322441221334423232332434334423333333122442432433434344433324144344242432423242223341333342344442441324343134341412433234423243434344433243433442212444232113324243334333242234143433444332423444342342432133324443233324233433324432334444334332322342323344333133233232444344444333434343431434344433444322342343333432442334444424444342433233444442423323344343244323411224443343343334342444433344424224144434344244244433342344333224444344324433333342442332444443222" + } + }, + { + "page_number": 30, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": null, + "chart_subtitle": "PM INERT SDS 6", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss (%)" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 31, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": null, + "chart_subtitle": "PM INERT SDS 6", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss (%)" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 32, + "analysis_title": "Potential Process Capability", + "chart_title": "PM3 H TITLE 1", + "chart_subtitle": "PM INERT SDS 6", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM3 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 33, + "analysis_title": "Test of Maximum Information", + "chart_title": "R2 Residuals Individuals Chart", + "chart_subtitle": "PM INERT SDS 6", + "context_subtitle": null, + "variable": "R2 RESIDUALS", + "CL": 0.0, + "LBL": -3.85, + "UBL": 3.85, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Residual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 34, + "analysis_title": "Maximum Information Analysis", + "chart_title": null, + "chart_subtitle": "PM INERT SDS 6", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM3 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + } + ], + "drawn_limits_method": "Where VAS prints \"UNEQUAL\", the LBL/UBL of every subgroup are read from the red limit lines in the chart drawing (EMF, 576 x 384 units) and scaled by the y-axis ticks: good to about one drawing unit ('unit', in the response's units)." +} diff --git a/tests/fixtures/bishop_analyses/vassds1analysis.json b/tests/fixtures/bishop_analyses/pm_sds_1.json similarity index 92% rename from tests/fixtures/bishop_analyses/vassds1analysis.json rename to tests/fixtures/bishop_analyses/pm_sds_1.json index 8dc203c..2afd540 100644 --- a/tests/fixtures/bishop_analyses/vassds1analysis.json +++ b/tests/fixtures/bishop_analyses/pm_sds_1.json @@ -1,7 +1,37 @@ { - "source_file": "vassds1analysis.pptm", - "extraction_method": "Structured extraction from PDF text generated from the PowerPoint; this deck exposes chart text in the rendered PDF, which allowed direct parsing of page titles, chart text, limits, axis labels, and package footer metadata. Missing values were preserved as null when not present on the slide.", + "run": "pm_sds_1", + "label": "PM SDS 1", + "analytic_design_state": 1, + "specs": { + "lsl": 232, + "usl": 242, + "target": 237 + }, + "source_file": "PM SDS1.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the 10/3/2026 VAS deck (displayed precision); structure and null pattern kept from the earlier extraction.", "pages_extracted": 34, + "capability": { + "pp": 0.96, + "ppk_upper": 0.8, + "ppk_lower": 1.11, + "pct_below_lsl": 0.53, + "pct_above_usl": 0.45, + "cp": 2.08, + "cpk_upper": 1.74, + "cpk_lower": 2.42, + "potential_pct_below_lsl": 0.0, + "potential_pct_above_usl": 0.0 + }, + "loss": { + "pct_interaction": 44.5, + "pct_unexplained": 20.9, + "pct_centering": 17.3, + "pct_pdc": 14.6, + "pct_time": 2.8, + "pct_pdc_f1": 9.2, + "pct_pdc_f2": 3.8, + "pct_pdc_factor_interaction": 1.6 + }, "items": [ { "page_number": 1, @@ -476,7 +506,7 @@ "package": { "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" }, - "notes": null + "notes": "The 10/3 VAS run prints 0.73/0.88 here: it held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows (confirmed by Dr. Bishop, 10/8/2026). Kept the limits from the earlier VAS run, which used the subgroup's own N, as PB does." }, { "page_number": 26, @@ -514,7 +544,7 @@ "package": { "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" }, - "notes": null + "notes": "The 10/3 VAS run prints 0.73/0.88 here: it held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows (confirmed by Dr. Bishop, 10/8/2026). Kept the limits from the earlier VAS run, which used the subgroup's own N, as PB does." }, { "page_number": 28, diff --git a/tests/fixtures/bishop_analyses/vassds2analysis.json b/tests/fixtures/bishop_analyses/pm_sds_2.json similarity index 91% rename from tests/fixtures/bishop_analyses/vassds2analysis.json rename to tests/fixtures/bishop_analyses/pm_sds_2.json index 1f28b0e..d4ccc6d 100644 --- a/tests/fixtures/bishop_analyses/vassds2analysis.json +++ b/tests/fixtures/bishop_analyses/pm_sds_2.json @@ -1,7 +1,37 @@ { - "source_file": "vassds2analysis.pptm", - "extraction_method": "Structured extraction from PDF text generated from the PowerPoint; the deck appears to use embedded chart images/vector content rather than native PowerPoint chart objects. Missing values visible as placeholders or omitted in the source were preserved as null.", + "run": "pm_sds_2", + "label": "PM SDS 2", + "analytic_design_state": 2, + "specs": { + "lsl": 232, + "usl": 242, + "target": 237 + }, + "source_file": "PM SDS2.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the 10/3/2026 VAS deck (displayed precision); structure and null pattern kept from the earlier extraction.", "pages_extracted": 34, + "capability": { + "pp": 1.1, + "ppk_upper": 0.93, + "ppk_lower": 1.27, + "pct_below_lsl": 0.5, + "pct_above_usl": 0.0, + "cp": 1.78, + "cpk_upper": 1.5, + "cpk_lower": 2.06, + "potential_pct_below_lsl": 0.0, + "potential_pct_above_usl": 0.63 + }, + "loss": { + "pct_unexplained": 30.0, + "pct_interaction": 25.6, + "pct_centering": 21.0, + "pct_pdc": 20.4, + "pct_time": 2.9, + "pct_pdc_f1": 13.7, + "pct_pdc_f2": 5.5, + "pct_pdc_factor_interaction": 1.2 + }, "items": [ { "page_number": 1, @@ -372,8 +402,8 @@ "context_subtitle": null, "variable": "RSG AVG", "CL": 237.78, - "LBL": null, - "UBL": null, + "LBL": 237.51, + "UBL": 238.06, "axis_labels": { "x": "PDC RSG", "y": "Sample Average" @@ -390,9 +420,9 @@ "chart_subtitle": "PM2 in Grams", "context_subtitle": null, "variable": "RSG STDEV", - "CL": 0.64, - "LBL": null, - "UBL": null, + "CL": 0.91, + "LBL": 0.72, + "UBL": 1.11, "axis_labels": { "x": "PDC RSG", "y": "Sample Standard Deviation" @@ -410,8 +440,8 @@ "context_subtitle": null, "variable": "RSG AVG", "CL": 237.78, - "LBL": null, - "UBL": null, + "LBL": 236.85, + "UBL": 238.72, "axis_labels": { "x": "PT RSG", "y": "Sample Average" @@ -428,9 +458,9 @@ "chart_subtitle": "PM2 in Grams", "context_subtitle": null, "variable": "RSG STDEV", - "CL": 0.56, - "LBL": null, - "UBL": null, + "CL": 0.85, + "LBL": 0.16, + "UBL": 1.55, "axis_labels": { "x": "PT RSG", "y": "Sample Standard Deviation" @@ -448,8 +478,8 @@ "context_subtitle": "PD Factor - F1", "variable": "RSG AVG", "CL": 237.79, - "LBL": null, - "UBL": null, + "LBL": 237.59, + "UBL": 237.98, "axis_labels": { "x": "PD Factor RSG", "y": "Sample Average" @@ -466,9 +496,9 @@ "chart_subtitle": "PM2 in Grams", "context_subtitle": "PD Factor - F1", "variable": "RSG STDEV", - "CL": 0.64, - "LBL": null, - "UBL": null, + "CL": 0.91, + "LBL": 0.78, + "UBL": 1.05, "axis_labels": { "x": "PD Factor RSG", "y": "Sample Standard Deviation" @@ -486,8 +516,8 @@ "context_subtitle": "PD Factor - F2", "variable": "RSG AVG", "CL": 237.79, - "LBL": null, - "UBL": null, + "LBL": 237.65, + "UBL": 237.93, "axis_labels": { "x": "PD Factor RSG", "y": "Sample Average" @@ -504,7 +534,7 @@ "chart_subtitle": "PM2 in Grams", "context_subtitle": "PD Factor - F2", "variable": "RSG STDEV", - "CL": 0.66, + "CL": 0.94, "LBL": null, "UBL": null, "axis_labels": { @@ -514,7 +544,7 @@ "package": { "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" }, - "notes": null + "notes": "The 10/3 deck prints 0.85/1.02 for this F2 S chart. N = 400 is above 343, where the 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 (Minitab's GAMMA limit, confirmed by Dr. Bishop, 10/8/2026), so its limits follow N = 500; PB's, with N = 400, are 0.84/1.03. Pending his rerun with alpha_N from a table." }, { "page_number": 28, @@ -524,8 +554,8 @@ "context_subtitle": null, "variable": "R3 RESIDUALS", "CL": 237.79, - "LBL": 233.94, - "UBL": 241.63, + "LBL": 233.04, + "UBL": 242.53, "axis_labels": { "x": "PDCxPT RSG", "y": "Individual Value" @@ -542,9 +572,9 @@ "chart_subtitle": "PM2 in Grams", "context_subtitle": null, "variable": "MOVING RANGE", - "CL": 1.44, + "CL": 1.78, "LBL": 0.0, - "UBL": 4.72, + "UBL": 5.83, "axis_labels": { "x": "PDCxPT RSG", "y": "Moving Range" @@ -619,8 +649,8 @@ "context_subtitle": null, "variable": "R2 RESIDUALS", "CL": 0.0, - "LBL": -1.94, - "UBL": 1.94, + "LBL": -2.76, + "UBL": 2.76, "axis_labels": { "x": "PDCxPT RSG", "y": "Individual Value" diff --git a/tests/fixtures/bishop_analyses/pm_sds_3.json b/tests/fixtures/bishop_analyses/pm_sds_3.json new file mode 100644 index 0000000..9a56e42 --- /dev/null +++ b/tests/fixtures/bishop_analyses/pm_sds_3.json @@ -0,0 +1,1092 @@ +{ + "run": "pm_sds_3", + "label": "PM SDS 3", + "analytic_design_state": 3, + "specs": { + "lsl": 232, + "usl": 242, + "target": 237 + }, + "source_file": "PM SDS3.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the 10/3/2026 VAS deck (displayed precision); structure and null pattern kept from the earlier extraction.", + "pages_extracted": 34, + "capability": { + "pp": 0.96, + "ppk_upper": 0.8, + "ppk_lower": 1.12, + "pct_below_lsl": 0.53, + "pct_above_usl": 0.46, + "cp": 1.57, + "cpk_upper": 1.31, + "cpk_lower": 1.83, + "potential_pct_below_lsl": 0.0, + "potential_pct_above_usl": 0.13 + }, + "loss": { + "pct_interaction": 33.1, + "pct_unexplained": 30.3, + "pct_centering": 18.5, + "pct_pdc": 15.4, + "pct_time": 2.8, + "pct_pdc_f1": 9.3, + "pct_pdc_f2": 4.3, + "pct_pdc_factor_interaction": 1.8 + }, + "items": [ + { + "page_number": 1, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Analysis of PM Sample Averages", + "chart_subtitle": "PM3 in Grams", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 237.83, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": "Limits vary with subgroup size (ADS 3) and are not printed on the slide; 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chart context indicates a standard-deviation main-effects chart.", + "drawn_limits": { + "unit": 0.00098, + "levels": [ + 0.9602, + 1.16 + ], + "LBL": "00000000", + "UBL": "11111111", + "pending": "A subgroup here has 343 or more values. The 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows, so its S limits follow N = 500 instead of the subgroup's own N (confirmed by Dr. Bishop, 10/8/2026). Pending his rerun with alpha_N from a table." + } + }, + { + "page_number": 22, + "analysis_title": "Production Time Main Effects Analysis", + "chart_title": "Analysis of PT RSG Sample Averages", + "chart_subtitle": "PM3 in Grams", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 237.83, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01087, + "levels": [ + 237.1304, + 237.163, + 237.1739, + 237.1957, + 237.2065, + 237.2174, + 237.2283, + 237.2391, + 237.25, + 237.2609, + 237.2717, + 237.2826, + 237.2935, + 238.3696, + 238.3804, + 238.3913, + 238.4022, + 238.413, + 238.4239, + 238.4348, + 238.4457, + 238.4674, + 238.4783, + 238.4891, + 238.5, + 238.5326 + ], + "LBL": "737c9748c9a659a87177b7759bc7677497995bb349089bb8a6698588caac79a892976765447c769b97a877789734898c96ab", + "UBL": "hmidfhlgeffjkffghohifhhkffehjhilfhffkffmlfpgfffgfjjfgkggeffehffgfnfhjijkllhdijfffifgihigfhmlgfgefjff" + } + }, + { + "page_number": 23, + "analysis_title": "Production Time Main Effects Analysis", + "chart_title": "Analysis of PT RSG Sample Standard Deviations", + "chart_subtitle": "PM3 in Grams", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 1.06, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00563, + "levels": [ + 0.5488, + 0.5826, + 0.5882, + 0.5995, + 0.6107, + 0.622, + 0.6276, + 0.6389, + 0.6502, + 0.6614, + 0.6727, + 0.6783, + 1.4441, + 1.4497, + 1.461, + 1.4722, + 1.4835, + 1.4891, + 1.5004, + 1.5116, + 1.5229, + 1.5342, + 1.5398, + 1.5623 + ], + "LBL": "736b8748a89558987176a7758aa7576487885aa348088aa895588588a99a789882875655447b658a869867688734888a859a", + "UBL": "gkgcegjfdeehieefgmggdggieddghggjegeeiddkjenfeddfehhefiffdeedgeefeleghghijjgcghedegefgggfegkjfefdehed" + } + }, + { + "page_number": 24, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM3 in Grams", + "context_subtitle": "PD Factor - F1", + "variable": "RSG AVG", + "CL": 237.83, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00762, + "levels": [ + 237.7141, + 237.9426 + ], + "LBL": "0000", + "UBL": "1111" + } + }, + { + "page_number": 25, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Standard Deviations", + "chart_subtitle": "PM3 in Grams", + "context_subtitle": "PD Factor - F1", + "variable": "RSG STDEV", + "CL": 1.06, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": "Title OCR was noisy on the slide image; corrected using chart context and neighboring slides.", + "drawn_limits": { + "unit": 0.00098, + "levels": [ + 0.9602, + 1.16 + ], + "LBL": "0000", + "UBL": "1111", + "pending": "A subgroup here has 343 or more values. The 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows, so its S limits follow N = 500 instead of the subgroup's own N (confirmed by Dr. Bishop, 10/8/2026). Pending his rerun with alpha_N from a table." + } + }, + { + "page_number": 26, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM3 in Grams", + "context_subtitle": "PD Factor - F2", + "variable": "RSG AVG", + "CL": 237.82, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00409, + "levels": [ + 237.7386, + 237.9106 + ], + "LBL": "00", + "UBL": "11" + } + }, + { + "page_number": 27, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Standard Deviations", + "chart_subtitle": "PM3 in Grams", + "context_subtitle": "PD Factor - F2", + "variable": "RSG STDEV", + "CL": 1.06, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": "Title OCR was noisy on the slide image; corrected using chart context and neighboring slides.", + "drawn_limits": { + "unit": 0.00098, + "levels": [ + 0.9602, + 1.16 + ], + "LBL": "00", + "UBL": "11", + "pending": "A subgroup here has 343 or more values. The 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows, so its S limits follow N = 500 instead of the subgroup's own N (confirmed by Dr. Bishop, 10/8/2026). Pending his rerun with alpha_N from a table." + } + }, + { + "page_number": 28, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Averages", + "chart_subtitle": "PM3 in Grams", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 237.83, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": "Limits vary with subgroup size (ADS 3) and are not printed on the slide; centre line only.", + "drawn_limits": { + "unit": 0.07467, + "levels": [ + 234.3991, + 235.3698, + 235.8179, + 236.1166, + 236.3406, + 239.4022, + 239.5515, + 239.8502, + 240.2983, + 241.269 + ], + "LBL": 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"chart_subtitle": "PM3 in Grams", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 1.04, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": "Limits vary with subgroup size (ADS 3) and are not printed on the slide; centre line only.", + "drawn_limits": { + "unit": 0.01866, + "levels": [ + 0.0037, + 2.1866, + 2.3731, + 2.6903, + 3.4179 + ], + "LBL": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "UBL": 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"LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss (%)" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 31, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": null, + "chart_subtitle": "PM3 in Grams", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss (%)" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 32, + "analysis_title": "Potential Process Capability", + "chart_title": "PM3 H TITLE 1", + "chart_subtitle": "PM3 H TITLE 2", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM3 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": "Chart title placeholders 'H TITLE 1/2' appear unreplaced in source slide." + }, + { + "page_number": 33, + "analysis_title": "Test of Maximum Information", + "chart_title": "R2 Residuals Individuals Chart", + "chart_subtitle": "PM3 in Grams", + "context_subtitle": null, + "variable": "R2 RESIDUALS", + "CL": 0.0, + "LBL": -3.7, + "UBL": 3.7, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Residual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 34, + "analysis_title": "Maximum Information Analysis", + "chart_title": null, + "chart_subtitle": "PM3 in Grams", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM3 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + } + ], + "drawn_limits_method": "Where VAS prints \"UNEQUAL\", the LBL/UBL of every subgroup are read from the red limit lines in the chart drawing (EMF, 576 x 384 units) and scaled by the y-axis ticks: good to about one drawing unit ('unit', in the response's units)." +} diff --git a/tests/fixtures/bishop_analyses/pm_sds_4.json b/tests/fixtures/bishop_analyses/pm_sds_4.json new file mode 100644 index 0000000..b86b819 --- /dev/null +++ b/tests/fixtures/bishop_analyses/pm_sds_4.json @@ -0,0 +1,1095 @@ +{ + "run": "pm_sds_4", + "label": "PM SDS 4", + "analytic_design_state": 1, + "specs": { + "lsl": 232, + "usl": 242, + "target": 237 + }, + "source_file": "PM SDS4.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the VAS deck (displayed precision); page structure and null pattern from the PM SDS reference for the same ADS.", + "pages_extracted": 34, + "capability": { + "pp": 0.94, + "ppk_upper": 0.79, + "ppk_lower": 1.09, + "pct_below_lsl": 0.59, + "pct_above_usl": 0.48, + "cp": 2.28, + "cpk_upper": 1.91, + "cpk_lower": 2.65, + "potential_pct_below_lsl": 0.0, + "potential_pct_above_usl": 0.0 + }, + "loss": { + "pct_interaction": 44.8, + "pct_unexplained": 20.1, + "pct_centering": 16.2, + "pct_pdc": 13.8, + "pct_time": 5.1, + "pct_pdc_f1": 8.1, + "pct_pdc_f2": 4.3, + "pct_pdc_factor_interaction": 1.4 + }, + "items": [ + { + "page_number": 1, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Analysis of PM Sample Averages", + "chart_subtitle": "PM SDS 4", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 237.82, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.05556, + "levels": [ + 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Pending his rerun with alpha_N from a table." + } + }, + { + "page_number": 26, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM SDS 4", + "context_subtitle": "PD Factor - F2", + "variable": "RSG AVG", + "CL": 237.82, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00422, + "levels": [ + 237.7495, + 237.8889 + ], + "LBL": "00", + "UBL": "11" + } + }, + { + "page_number": 27, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM SDS 4", + "context_subtitle": "PD Factor - F2", + "variable": "RSG STDEV", + "CL": 0.73, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": "One subgroup per factor level (confirmed by Dr. Bishop, 10/8/2026). These subgroups have more than 343 values, and the 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343 (Minitab's GAMMA limit), so its limits follow N = 500; limits pending his rerun with alpha_N from a table.", + "drawn_limits": { + "unit": 0.0007, + "levels": [ + 0.6603, + 0.8005 + ], + "LBL": "00", + "UBL": "11", + "pending": "A subgroup here has 343 or more values. The 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows, so its S limits follow N = 500 instead of the subgroup's own N (confirmed by Dr. Bishop, 10/8/2026). 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{ + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 31, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 32, + "analysis_title": "Potential Process Capability", + "chart_title": "PM1 H TITLE 1", + "chart_subtitle": "PM SDS 4", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM1", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 33, + "analysis_title": "Test of Maximum Information", + "chart_title": "R2 Residuals Individuals Chart", + "chart_subtitle": "PM SDS 4", + "context_subtitle": null, + "variable": "R2 RESIDUALS", + "CL": 0.0, + "LBL": -2.49, + "UBL": 2.49, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 34, + "analysis_title": "Maximum Information Analysis", + "chart_title": "PM1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM1", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 1: N > 1 COMPLETE" + }, + "notes": null + } + ], + "drawn_limits_method": "Where VAS prints \"UNEQUAL\", the LBL/UBL of every subgroup are read from the red limit lines in the chart drawing (EMF, 576 x 384 units) and scaled by the y-axis ticks: good to about one drawing unit ('unit', in the response's units)." +} diff --git a/tests/fixtures/bishop_analyses/pm_sds_5.json b/tests/fixtures/bishop_analyses/pm_sds_5.json new file mode 100644 index 0000000..731aa0c --- /dev/null +++ b/tests/fixtures/bishop_analyses/pm_sds_5.json @@ -0,0 +1,785 @@ +{ + "run": "pm_sds_5", + "label": "PM SDS 5", + "analytic_design_state": 2, + "specs": { + "lsl": 232, + "usl": 242, + "target": 237 + }, + "source_file": "PM SDS5.pptm (VAS run of 10/3/2026, 10-1 manual); loss shares from PM SDS 5 ANALYSIS.pptm (VAS rerun at target 237, 10/8/2026, charts and capability identical to the 10/3 run)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the VAS deck (displayed precision); page structure and null pattern from the PM SDS reference for the same ADS.", + "pages_extracted": 34, + "capability": { + "pp": 1.1, + "ppk_upper": 0.92, + "ppk_lower": 1.28, + "pct_below_lsl": 0.62, + "pct_above_usl": 0.0, + "cp": 1.82, + "cpk_upper": 1.53, + "cpk_lower": 2.11, + "potential_pct_below_lsl": 0.0, + "potential_pct_above_usl": 0.31 + }, + "loss": { + "pct_unexplained": 28.5, + "pct_pdc": 22.7, + "pct_interaction": 22.0, + "pct_centering": 21.8, + "pct_time": 5.0, + "pct_pdc_f1": 15.2, + "pct_pdc_f2": 6.6, + "pct_pdc_factor_interaction": 0.9 + }, + "items": [ + { + "page_number": 1, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": "PM2", + "CL": 237.8, + "LBL": 235.47, + "UBL": 240.13, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 2, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": "MOVING RANGE", + "CL": 0.88, + "LBL": 0.0, + "UBL": 2.86, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 3, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 1-1", + "variable": "PM2", + "CL": 238.13, + "LBL": 235.6, + "UBL": 240.67, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 4, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 1-1", + "variable": "MOVING RANGE", + "CL": 0.95, + "LBL": 0.0, + "UBL": 3.12, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 5, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 1-2", + "variable": "PM2", + "CL": 238.87, + "LBL": 237.36, + "UBL": 240.38, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 6, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 1-2", + "variable": "MOVING RANGE", + "CL": 0.57, + "LBL": 0.0, + "UBL": 1.85, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 7, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 2-1", + "variable": "PM2", + "CL": 237.47, + "LBL": 235.55, + "UBL": 239.4, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 8, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 2-1", + "variable": "MOVING RANGE", + "CL": 0.72, + "LBL": 0.0, + "UBL": 2.36, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 9, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 2-2", + "variable": "PM2", + "CL": 238.9, + "LBL": 237.13, + "UBL": 240.67, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 10, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 2-2", + "variable": "MOVING RANGE", + "CL": 0.67, + "LBL": 0.0, + "UBL": 2.17, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 11, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 3-1", + "variable": "PM2", + "CL": 236.45, + "LBL": 233.44, + "UBL": 239.46, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 12, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 3-1", + "variable": "MOVING RANGE", + "CL": 1.13, + "LBL": 0.0, + "UBL": 3.7, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 13, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 3-2", + "variable": "PM2", + "CL": 236.99, + "LBL": 234.3, + "UBL": 239.68, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 14, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 3-2", + "variable": "MOVING RANGE", + "CL": 1.01, + "LBL": 0.0, + "UBL": 3.3, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 15, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 4-1", + "variable": "PM2", + "CL": 237.43, + "LBL": 235.13, + "UBL": 239.74, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 16, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 4-1", + "variable": "MOVING RANGE", + "CL": 0.87, + "LBL": 0.0, + "UBL": 2.83, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 17, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "PM Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 4-2", + "variable": "PM2", + "CL": 238.18, + "LBL": 235.89, + "UBL": 240.46, + "axis_labels": { + "x": "PT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 18, + "analysis_title": "Analysis of Original Performance Measurement Behavior", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PDC RSG - 4-2", + "variable": "MOVING RANGE", + "CL": 0.86, + "LBL": 0.0, + "UBL": 2.81, + "axis_labels": { + "x": "PT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 19, + "analysis_title": "Current Process Capability", + "chart_title": "PM2 H TITLE 1", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM2 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 20, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Averages", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 237.8, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDC RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01198, + "levels": [ + 237.4925, + 237.5044, + 237.5164, + 237.5284, + 238.0914, + 238.1034, + 238.1153, + 238.1273 + ], + "LBL": "10121223", + "UBL": "57655554" + } + }, + { + "page_number": 21, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 0.89, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDC RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00359, + "levels": [ + 0.6613, + 0.6721, + 0.6792, + 1.0888, + 1.0996, + 1.1104 + ], + "LBL": "10121222", + "UBL": "45434443" + } + }, + { + "page_number": 22, + "analysis_title": "Production Time Main Effects Analysis", + "chart_title": "Analysis of PT RSG Sample Averages", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 237.82, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01571, + "levels": [ + 236.5185, + 236.6442, + 236.7542, + 236.8328, + 236.8956, + 238.7497, + 238.7969, + 238.8754, + 238.9854, + 239.1268 + ], + "LBL": "0032031232323123223324123221422240434133134421241442413432342433413322223122223123333324041113323223", + "UBL": "9967968767676876776675876778577759565866865578758557586567657566586677776877776876666675958886676776" + } + }, + { + "page_number": 23, + "analysis_title": "Production Time Main Effects Analysis", + "chart_title": "Analysis of PT RSG Sample Standard Deviations", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 0.83, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01267, + "levels": [ + 0.0018, + 0.0272, + 0.1032, + 0.1539, + 1.4971, + 1.5605, + 1.6365, + 1.7379, + 1.8773 + ], + "LBL": "0021020121212012112213012110311130323022023310130331302321231322302211112011112012222213030002212112", + "UBL": "8856857656565765665564765667466648454755754467647446475456546455475566665766665765555564847775565665" + } + }, + { + "page_number": 24, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PD Factor - F1", + "variable": "RSG AVG", + "CL": 237.81, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00917, + "levels": [ + 237.5899, + 237.5991, + 238.0211, + 238.0303 + ], + "LBL": "0111", + "UBL": "3322" + } + }, + { + "page_number": 25, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PD Factor - F1", + "variable": "RSG STDEV", + "CL": 0.9, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.0027, + "levels": [ + 0.7405, + 0.7514, + 1.0486 + ], + "LBL": "0111", + "UBL": "2222" + } + }, + { + "page_number": 26, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PD Factor - F2", + "variable": "RSG AVG", + "CL": 237.79, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00491, + "levels": [ + 237.6411, + 237.9504 + ], + "LBL": "00", + "UBL": "11" + } + }, + { + "page_number": 27, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Standard Deviations", + "chart_subtitle": "PM SDS 5", + "context_subtitle": "PD Factor - F2", + "variable": "RSG STDEV", + "CL": 0.91, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00117, + "levels": [ + 0.7998, + 0.8091, + 1.0203 + ], + "LBL": "01", + "UBL": "22" + } + }, + { + "page_number": 28, + "analysis_title": "Analysis of PDCxPT Interaction", + "chart_title": "R3 Residuals Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": "R3 RESIDUALS", + "CL": 237.8, + "LBL": 232.9, + "UBL": 242.7, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 29, + "analysis_title": "Analysis of R3 Residuals", + "chart_title": "Moving Range Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": "MOVING RANGE", + "CL": 1.84, + "LBL": 0.0, + "UBL": 6.02, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Moving Range" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 30, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM2 in Grams", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 31, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": "PM2 in Grams", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 32, + "analysis_title": "Potential Process Capability", + "chart_title": "PM2 H TITLE 1", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM2 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 33, + "analysis_title": "Test of Maximum Information", + "chart_title": "R2 Residuals Individuals Chart", + "chart_subtitle": "PM SDS 5", + "context_subtitle": null, + "variable": "R2 RESIDUALS", + "CL": 0.0, + "LBL": -2.84, + "UBL": 2.84, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Individual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 34, + "analysis_title": "Maximum Information Analysis", + "chart_title": "PM2 in Grams", + "chart_subtitle": null, + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM2 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 2: N = 1 COMPLETE" + }, + "notes": null + } + ], + "drawn_limits_method": "Where VAS prints \"UNEQUAL\", the LBL/UBL of every subgroup are read from the red limit lines in the chart drawing (EMF, 576 x 384 units) and scaled by the y-axis ticks: good to about one drawing unit ('unit', in the response's units)." +} diff --git a/tests/fixtures/bishop_analyses/pm_sds_6.json b/tests/fixtures/bishop_analyses/pm_sds_6.json new file mode 100644 index 0000000..b2d036e --- /dev/null +++ b/tests/fixtures/bishop_analyses/pm_sds_6.json @@ -0,0 +1,1113 @@ +{ + "run": "pm_sds_6", + "label": "PM SDS 6", + "analytic_design_state": 3, + "specs": { + "lsl": 232, + "usl": 242, + "target": 237 + }, + "source_file": "PM SDS6.pptm (VAS run of 10/3/2026, 10-1 manual)", + "extraction_method": "Values read from the text drawn in the Minitab charts of the VAS deck (displayed precision); page structure and null pattern from the PM SDS reference for the same ADS.", + "pages_extracted": 34, + "capability": { + "pp": 0.94, + "ppk_upper": 0.78, + "ppk_lower": 1.1, + "pct_below_lsl": 0.6, + "pct_above_usl": 0.5, + "cp": 1.51, + "cpk_upper": 1.25, + "cpk_lower": 1.76, + "potential_pct_below_lsl": 0.0, + "potential_pct_above_usl": 0.2 + }, + "loss": { + "pct_unexplained": 31.6, + "pct_interaction": 31.0, + "pct_centering": 18.9, + "pct_pdc": 14.9, + "pct_time": 3.5, + "pct_pdc_f1": 9.5, + "pct_pdc_f2": 4.1, + "pct_pdc_factor_interaction": 1.3 + }, + 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"2444433344424224144434344244244433342344333224444344324433333342442332444443222" + } + }, + { + "page_number": 19, + "analysis_title": "Current Process Capability", + "chart_title": "PM3 H TITLE 1", + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM3 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 20, + "analysis_title": "Process Design Condition Main Effects Analysis", + "chart_title": "Analysis of PDC RSG Sample Averages", + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 237.86, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDC RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01212, + "levels": [ + 237.6409, + 237.653, + 238.0651, + 238.0772 + ], + "LBL": "11111000", + "UBL": "32322333" + } + }, + { + "page_number": 21, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Standard Deviations", + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 1.11, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDC RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00163, + "levels": [ + 0.9499, + 0.9597, + 1.2507, + 1.2605 + ], + "LBL": "11111110", + "UBL": "32222333" + } + }, + { + "page_number": 22, + "analysis_title": "Production Time Main Effects Analysis", + "chart_title": "Analysis of PT RSG Sample Averages", + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 237.86, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01004, + "levels": [ + 236.9237, + 236.9639, + 236.994, + 237.0141, + 237.0442, + 237.0643, + 237.0843, + 237.1044, + 237.1245, + 237.1446, + 237.1546, + 237.1747, + 237.1847, + 237.2048, + 237.2149, + 237.2349, + 238.4799, + 238.5, + 238.51, + 238.5301, + 238.5402, + 238.5602, + 238.5703, + 238.5904, + 238.6104, + 238.6305, + 238.6506, + 238.6707, + 238.7008, + 238.7209, + 238.751, + 238.7912 + ], + "LBL": "99435867833bb9493c6fb864b2a9575b966586e3592299c8784757678b257465e664775ce882690889993d78666623279a18", + "UBL": "mmrsqnponsskkmrmsjpgknprktlmqoqkmppqnphsqmttmmjnonroqoponktqorpqhpprooqjhnntpmvnnmmmsionpppptstomlun" + } + }, + { + "page_number": 23, + "analysis_title": "Production Time Main Effects Analysis", + "chart_title": "Analysis of PT RSG Sample Standard Deviations", + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 1.11, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00784, + "levels": [ + 0.4202, + 0.4516, + 0.4672, + 0.4986, + 0.5064, + 0.53, + 0.5456, + 0.5613, + 0.577, + 0.5927, + 0.6005, + 0.6083, + 0.6162, + 0.6319, + 0.6397, + 0.6554, + 1.549, + 1.5725, + 1.5803, + 1.5882, + 1.6039, + 1.6117, + 1.6195, + 1.6274, + 1.6509, + 1.6587, + 1.6823, + 1.6979, + 1.7214, + 1.745, + 1.7606, + 1.792 + ], + "LBL": "99435867833bb9493c6fb864b2a9575b966586e3592299c8784757678b257465e664775ce882690889993d78666623279a18", + "UBL": "mmrsqnponsskkmrmsjpgknprktlmqoqkmppqnphsqmttmmjnonroqoponktqorpqhpprooqjhnntpmvnnmmmsionpppptstomlun" + } + }, + { + "page_number": 24, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM SDS 6", + "context_subtitle": "PD Factor - F1", + "variable": "RSG AVG", + "CL": 237.86, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00769, + "levels": [ + 237.7093, + 238.0016, + 238.0093 + ], + "LBL": "0000", + "UBL": "1122" + } + }, + { + "page_number": 25, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Standard Deviations", + "chart_subtitle": "PM SDS 6", + "context_subtitle": "PD Factor - F1", + "variable": "RSG STDEV", + "CL": 1.11, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00105, + "levels": [ + 1.0002, + 1.2097 + ], + "LBL": "0000", + "UBL": "1111", + "pending": "A subgroup here has 343 or more values. The 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows, so its S limits follow N = 500 instead of the subgroup's own N (confirmed by Dr. Bishop, 10/8/2026). Pending his rerun with alpha_N from a table." + } + }, + { + "page_number": 26, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Averages", + "chart_subtitle": "PM SDS 6", + "context_subtitle": "PD Factor - F2", + "variable": "RSG AVG", + "CL": 237.86, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00405, + "levels": [ + 237.7596, + 237.9704 + ], + "LBL": "00", + "UBL": "11" + } + }, + { + "page_number": 27, + "analysis_title": "Process Design Factor Main Effects Analysis", + "chart_title": "Analysis of PD Factor Sample Standard Deviations", + "chart_subtitle": "PM SDS 6", + "context_subtitle": "PD Factor - F2", + "variable": "RSG STDEV", + "CL": 1.11, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PD Factor RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.00103, + "levels": [ + 1.0, + 1.2105 + ], + "LBL": "00", + "UBL": "11", + "pending": "A subgroup here has 343 or more values. The 10/3 VAS held alpha_N (Eq 10-12) at 0.9995 above N = 343, where Minitab's GAMMA function overflows, so its S limits follow N = 500 instead of the subgroup's own N (confirmed by Dr. Bishop, 10/8/2026). Pending his rerun with alpha_N from a table." + } + }, + { + "page_number": 28, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Averages", + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": "RSG AVG", + "CL": 237.86, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Average" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.07742, + "levels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} + }, + { + "page_number": 29, + "analysis_title": "Process Design Condition by Production Time Interaction Effects", + "chart_title": "Analysis of PDCxPT RSG Sample Standard Deviations", + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": "RSG STDEV", + "CL": 1.03, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Sample Standard Deviation" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null, + "drawn_limits": { + "unit": 0.01876, + "levels": [ + 0.0038, + 2.1614, + 2.3302, + 2.6492, + 3.3621 + ], + "LBL": "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "UBL": "342443334342221443344241443332334332233244434433433232443234444334223444243123443334333322332234413334133432234142334334433243242422323342432223334242334334433342433343443334242333421322441221334423232332434334423333333122442432433434344433324144344242432423242223341333342344442441324343134341412433234423243434344433243433442212444232113324243334333242234143433444332423444342342432133324443233324233433324432334444334332322342323344333133233232444344444333434343431434344433444322342343333432442334444424444342433233444442423323344343244323411224443343343334342444433344424224144434344244244433342344333224444344324433333342442332444443222" + } + }, + { + "page_number": 30, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": null, + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss (%)" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 31, + "analysis_title": "Taguchi Loss Function Analysis", + "chart_title": null, + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "Components Contributing to Average Loss", + "y": "Contribution to Average Loss (%)" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 32, + "analysis_title": "Potential Process Capability", + "chart_title": "PM3 H TITLE 1", + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM3 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 33, + "analysis_title": "Test of Maximum Information", + "chart_title": "R2 Residuals Individuals Chart", + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": "R2 RESIDUALS", + "CL": 0.0, + "LBL": -3.73, + "UBL": 3.73, + "axis_labels": { + "x": "PDCxPT RSG", + "y": "Residual Value" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + }, + { + "page_number": 34, + "analysis_title": "Maximum Information Analysis", + "chart_title": null, + "chart_subtitle": "PM SDS 6", + "context_subtitle": null, + "variable": null, + "CL": null, + "LBL": null, + "UBL": null, + "axis_labels": { + "x": "PM3 in Grams", + "y": "Percent" + }, + "package": { + "analysis_design_state": "ANALYTIC DESIGN STATE 3: N=1 AND N>1 COMPLETE" + }, + "notes": null + } + ], + "drawn_limits_method": "Where VAS prints \"UNEQUAL\", the LBL/UBL of every subgroup are read from the red limit lines in the chart drawing (EMF, 576 x 384 units) and scaled by the y-axis ticks: good to about one drawing unit ('unit', in the response's units)." +} diff --git a/tests/fixtures/coffee_capability_full_baseline.json b/tests/fixtures/coffee_capability_full_baseline.json index d9a1cbe..b09f98d 100644 --- a/tests/fixtures/coffee_capability_full_baseline.json +++ b/tests/fixtures/coffee_capability_full_baseline.json @@ -11,6 +11,7 @@ "ppk_upper": 0.193, "ppk": 0.193, "sigma_hat_r2": 19.149, + "potential_center": 220.771, "cp": null, "cpk_lower": null, "cpk_upper": 0.335, diff --git a/tests/fixtures/golden_masters/paired_xbar_s/Xbar_data.parquet b/tests/fixtures/golden_masters/paired_xbar_s/Xbar_data.parquet index 8a6464b..3dfcb8d 100644 Binary files a/tests/fixtures/golden_masters/paired_xbar_s/Xbar_data.parquet and b/tests/fixtures/golden_masters/paired_xbar_s/Xbar_data.parquet differ diff --git a/tests/fixtures/golden_masters/stratified_uneven/Xbar_data.parquet b/tests/fixtures/golden_masters/stratified_uneven/Xbar_data.parquet index 7cf3728..32e88cf 100644 Binary files a/tests/fixtures/golden_masters/stratified_uneven/Xbar_data.parquet and b/tests/fixtures/golden_masters/stratified_uneven/Xbar_data.parquet differ diff --git a/tests/test_ads3_charts.py b/tests/test_ads3_charts.py new file mode 100644 index 0000000..286ce9d --- /dev/null +++ b/tests/test_ads3_charts.py @@ -0,0 +1,61 @@ +"""ADS 3 (partial replication) charts follow the 10-1 manual: Xbar/S is the default chart. + +Tom Bishop's VAS run of 10/3/2026 draws PM SDS 3 as Xbar/S throughout (original data and the +PDC×PT interaction); the per-condition centre lines on that deck are the unweighted mean of every +subgroup mean, one-observation subgroups included. +""" + +import pandas as pd +import pytest + +import processbehavior as pb + +T100 = 'validation/PBTESTDATABASE_T100.csv' + + +@pytest.fixture(scope='module') +def pm_sds_3(): + df = pd.read_csv(T100, na_values=['*']) + return pb.formulate(df, response='PM SDS 3', factors=['FACTOR 1', 'FACTOR 2'], time='PRODUCTION TIME', precision=12) + + +def test_ads3_recommends_xbar(pm_sds_3): + assert pm_sds_3.analytical_design_state.sds == 3 + assert pm_sds_3.recommended_chart == 'Xbar' + + +def test_stratified_xbar_centre_counts_one_observation_subgroups(): + """Each stratum's centre is the mean of all its subgroup means, n = 1 subgroups included.""" + df = pd.DataFrame( + { + 'lane': ['A'] * 5 + ['B'] * 6, + 'time': [1, 1, 2, 2, 3, 1, 1, 2, 2, 3, 3], + 'y': [10.0, 12.0, 14.0, 16.0, 30.0, 5.0, 7.0, 9.0, 11.0, 20.0, 22.0], + } + ) + study = pb.formulate(df, response='y', factors=['lane'], time='time', precision=12) + result = study.execute(chart='Xbar', by=['time']) + + # Lane A: subgroup means 11, 15 and the single observation 30 -> centre 56/3 + assert result.statistics('Xbar', stratum='A')['center'] == pytest.approx(56 / 3) + # Lane B: all subgroups replicated -> 6, 10, 21 -> centre 37/3 + assert result.statistics('Xbar', stratum='B')['center'] == pytest.approx(37 / 3) + + +@pytest.mark.parametrize( + ('stratum', 'deck_centre'), + [('2_2', 239.0), ('3_1', 236.64), ('4_1', 237.52), ('4_2', 238.18), ('1_1', 238.22)], +) +def test_pm_sds3_per_condition_centres_match_vas(pm_sds_3, stratum, deck_centre): + """PM SDS 3 deck (10/3/2026), pages 3-18: per-condition Xbar centre lines.""" + result = pm_sds_3.execute(chart='Xbar', by=['PRODUCTION TIME']) + assert result.statistics('Xbar', stratum=stratum)['center'] == pytest.approx(deck_centre, abs=0.005) + + +def test_pm_sds3_interaction_xbar_s_centres_match_vas(pm_sds_3): + """PM SDS 3 deck (10/3/2026), slides 28-29: interaction Xbar 237.83, S 1.04.""" + r = pm_sds_3.execute( + chart='Xbar', by=['FACTOR 1', 'FACTOR 2', 'PRODUCTION TIME'], value='R3', recentered=True, companion=True + ) + assert r.statistics('Xbar')['center'] == pytest.approx(237.83, abs=0.005) + assert r.statistics('S')['center'] == pytest.approx(1.04, abs=0.005) diff --git a/tests/test_bishop_reference.py b/tests/test_bishop_reference.py index eb8175b..38bac16 100644 --- a/tests/test_bishop_reference.py +++ b/tests/test_bishop_reference.py @@ -41,7 +41,10 @@ def _load_reference(sds_num: int) -> pd.DataFrame: return pd.read_excel(_ref_path(sds_num), sheet_name=SHEET_NAME) -@pytest.mark.parametrize('sds_num', [1, 2, 3, 6]) +# SDS 1 only: its R2 is the within-cell deviation, unchanged by the 10-1 manual. The 3-5-26 +# workbooks for SDS 2, 3 and 6 predate the 10-1 R2 (the condition-and-period-adjusted, rescaled +# difference) and no longer describe the reference; Tom's 10/3/2026 run replaces them. +@pytest.mark.parametrize('sds_num', [1]) def test_residuals_match_bishop_reference(sds_num: int) -> None: if not os.path.exists(_ref_path(sds_num)): pytest.skip(f'Reference file not found: {_ref_path(sds_num)}') @@ -68,10 +71,7 @@ def test_residuals_match_bishop_reference(sds_num: int) -> None: ours = merged[our_col] toms = merged[ref_col] - # Tom's MA2 files have NaN for the first time period (no prior period - # for moving average). Our code outputs 0.0 there. Drop NaN rows from - # comparison — the NaN semantics are a display choice, not a formula - # disagreement. + # Drop rows where the reference leaves a residual blank. mask = toms.notna() np.testing.assert_allclose( diff --git a/tests/test_capability.py b/tests/test_capability.py index 9dcc049..d6f26bd 100644 --- a/tests/test_capability.py +++ b/tests/test_capability.py @@ -23,6 +23,7 @@ import pandas as pd import pytest +import processbehavior as pb from processbehavior import ProcessBehavior, SpecLimits, ValidationError from processbehavior.capability import ( CapabilityResult, @@ -590,12 +591,13 @@ def test_pp_ge_ppk(self, sds1_study): if cap.pp is not None and cap.ppk is not None: assert cap.pp >= cap.ppk or cap.pp == pytest.approx(cap.ppk) - def test_y_bar_is_overall_mean(self, sds1_study): - """Ȳ for potential capability is overall response mean, not mean of R2.""" + def test_y_bar_is_process_mean(self, sds1_study): + """Ȳ is the response's process mean (VAS: the mean of the cell means), not the mean of R2.""" cap = sds1_study.capability(usl=120, lsl=80) ds = sds1_study.dataset - expected_y_bar = ds[sds1_study.response].dropna().mean() + expected_y_bar = ds.groupby('cell_key')[sds1_study.response].mean().mean() assert cap.y_bar == pytest.approx(expected_y_bar) + assert cap.y_bar != pytest.approx(ds['R2'].mean()) def test_precision_from_study(self, sds1_study): """round_to comes from Study's spec.""" @@ -959,3 +961,72 @@ def test_custom_round_to(self): specs = SpecLimits(usl=120, lsl=80) cap = assess_capability(study, specs, round_to=5) assert cap.round_to == 5 + + +# ============================================================================ +# Potential centre (y_bar + mean R2) — 10-1 manual potential capability +# ============================================================================ + + +class TestPotentialCenter: + def test_ads1_potential_center_is_y_bar(self): + """ADS 1: R2 is the within-cell deviation, which averages to zero.""" + df = pb.make_design(1, K1=2, K2=2, T=4, seed=42) + study = pb.formulate(df, response='y', factors=['factor 1', 'factor 2'], time='time', precision=12) + cap = study.capability(usl=float(df['y'].max()) + 10, lsl=float(df['y'].min()) - 10) + assert cap.potential_center == pytest.approx(cap.y_bar, abs=1e-9) + + def test_ads2_potential_center_is_mean_of_potential_values(self): + df = pd.read_csv('validation/PBTESTDATABASE_T100.csv', na_values=['*']) + study = pb.formulate( + df, response='PM SDS 2', factors=['FACTOR 1', 'FACTOR 2'], time='PRODUCTION TIME', precision=12 + ) + cap = study.capability(lsl=232, usl=242) + r2 = study.dataset['R2'].dropna() + assert cap.potential_center == pytest.approx(cap.y_bar + r2.mean(), rel=1e-12) + sigma = cap.sigma_hat_r2 + assert cap.cpk_upper == pytest.approx((242 - cap.potential_center) / (3 * sigma), rel=1e-12) + assert cap.cpk_lower == pytest.approx((cap.potential_center - 232) / (3 * sigma), rel=1e-12) + + def test_potential_chart_centre_line_at_potential_center(self): + df = pd.read_csv('validation/PBTESTDATABASE_T100.csv', na_values=['*']) + study = pb.formulate( + df, response='PM SDS 2', factors=['FACTOR 1', 'FACTOR 2'], time='PRODUCTION TIME', precision=12 + ) + cap = study.capability(lsl=232, usl=242) + fig = cap.plot(view='potential') + xs = [s.x0 for s in (fig.layout.shapes or []) if s.type == 'line' and s.x0 == s.x1] + assert any(x == pytest.approx(cap.potential_center) for x in xs) + + +class TestProcessMean: + """y_bar is VAS's process mean: the unweighted mean of the (factor × time) cell means, the same + centre as the Xbar chart and the loss function, not the plain average of the readings. The two + differ only when cells have different sizes (SDS 3, 4, 6).""" + + @staticmethod + def _study(col): + df = pd.read_csv('validation/PBTESTDATABASE_T100.csv', na_values=['*']) + return pb.formulate(df, response=col, factors=['FACTOR 1', 'FACTOR 2'], time='PRODUCTION TIME', precision=12) + + def test_unbalanced_uses_mean_of_cell_means(self): + study = self._study('PM SDS 6') + cap = study.capability(lsl=232, usl=242, target=237) + d = study.dataset + cell_means = d.groupby(['FACTOR 1', 'FACTOR 2', 'PRODUCTION TIME'])['PM SDS 6'].mean() + assert cap.y_bar == pytest.approx(cell_means.mean(), rel=1e-12) + assert abs(cap.y_bar - d['PM SDS 6'].mean()) > 0.01 # the plain average (237.834) differs here + # Tom's PM SDS 6 VAS run (9/24/2026): PROCESS MEAN 237.86, PPL 1.102, PPU 0.78 + assert round(cap.y_bar, 2) == 237.86 + assert round(cap.ppk_lower, 3) == 1.102 + assert round(cap.ppk_upper, 2) == 0.78 + + def test_same_centre_as_loss_function(self): + study = self._study('PM SDS 3') + assert study.capability(lsl=232, usl=242).y_bar == pytest.approx( + study.loss_function(target=237).y_bar, rel=1e-12 + ) + + def test_balanced_equals_plain_average(self): + study = self._study('PM SDS 1') + assert study.capability(lsl=232, usl=242).y_bar == pytest.approx(study.dataset['PM SDS 1'].mean(), rel=1e-12) diff --git a/tests/test_loss_function.py b/tests/test_loss_function.py index 95bff27..539903e 100644 --- a/tests/test_loss_function.py +++ b/tests/test_loss_function.py @@ -4,6 +4,7 @@ Uses validation dataset (PBTESTDATABASE_T100.csv) as ground truth. """ +import pandas as pd import pytest from processbehavior import LossResult, ProcessBehavior, ValidationError @@ -31,7 +32,7 @@ def study_sds1(pb): @pytest.fixture def study_sds2(pb): - """PM SDS 2: 2 factors, time, some singleton cells.""" + """PM SDS 2: 2 factors, time, one observation in every cell (ADS 2).""" return pb.formulate( response='PM SDS 2', factors=['FACTOR 1', 'FACTOR 2'], @@ -41,7 +42,7 @@ def study_sds2(pb): @pytest.fixture def study_sds3(pb): - """PM SDS 3: 2 factors, time, all singleton cells.""" + """PM SDS 3: 2 factors, time, a mix of singleton and replicated cells (ADS 3).""" return pb.formulate( response='PM SDS 3', factors=['FACTOR 1', 'FACTOR 2'], @@ -74,17 +75,17 @@ def study_no_time(pb): class TestValidationPMSDS1: - """Match Tom's reference output: Fig 15-4 / 15-5.""" + """Match Tom's VAS run of 10/3/2026 (10-1 manual), PM SDS 1 deck slides 30-31.""" def test_unstructured_percentages(self, study_sds1): """5-component Pareto matches Tom's reference.""" result = study_sds1.loss_function(target=237.0) - assert round(result.pct_interaction, 1) == 43.3 - assert round(result.pct_unexplained, 1) == 23.0 - assert round(result.pct_centering, 1) == 16.8 - assert round(result.pct_pdc, 1) == 14.2 - assert round(result.pct_time, 1) == 2.7 + assert round(result.pct_interaction, 1) == 44.5 + assert round(result.pct_unexplained, 1) == 20.9 + assert round(result.pct_centering, 1) == 17.3 + assert round(result.pct_pdc, 1) == 14.6 + assert round(result.pct_time, 1) == 2.8 def test_structured_pdc_decomposition(self, study_sds1): """PDC broken into F1, F2, PDF INT matches Tom's reference.""" @@ -95,9 +96,9 @@ def test_structured_pdc_decomposition(self, study_sds1): f2_pct = result.pdc_by_factor['FACTOR 2'] / total * 100 pdc_int_pct = result.pdc_factor_interaction / total * 100 - assert round(f1_pct, 1) == 8.9 - assert round(f2_pct, 1) == 3.7 - assert round(pdc_int_pct, 1) == 1.5 + assert round(f1_pct, 1) == 9.2 + assert round(f2_pct, 1) == 3.8 + assert round(pdc_int_pct, 1) == 1.6 def test_target_237(self, study_sds1): result = study_sds1.loss_function(target=237.0) @@ -171,32 +172,66 @@ def test_decomposition_default_target(self, study_sds1): class TestUnexplained: def test_sds1_uses_per_cell(self, study_sds1): - """SDS 1 (replicated) uses per-cell S/c4 path.""" + """SDS 1 (replicated): unexplained is the average cell variance (Eq 15-16), no c4.""" result = study_sds1.loss_function() assert result.sds == 1 - assert result.unexplained > 0.0 + df = study_sds1.dataset + expected = df.groupby('cell_key', observed=True)['PM SDS 1'].var().mean() + assert result.unexplained == pytest.approx(expected, rel=1e-12) def test_sds2_percentages(self, study_sds2): - """SDS 2 5-component Pareto — Eq 15.18 pooled R2 path.""" + """SDS 2 Pareto (Eqs 15-17, 15-20) matches Tom's VAS run of 10/3/2026 (PM SDS 2 deck, slide 30).""" result = study_sds2.loss_function(target=237.0) assert result.sds == 2 - assert round(result.pct_interaction, 1) == 42.5 - assert round(result.pct_unexplained, 1) == 23.6 - assert round(result.pct_centering, 1) == 16.1 - assert round(result.pct_pdc, 1) == 15.6 - assert round(result.pct_time, 1) == 2.2 + assert round(result.pct_unexplained, 1) == 30.0 + assert round(result.pct_interaction, 1) == 25.6 + assert round(result.pct_centering, 1) == 21.0 + assert round(result.pct_pdc, 1) == 20.4 + assert round(result.pct_time, 1) == 2.9 def test_sds3_percentages(self, study_sds3): - """SDS 3 5-component Pareto — Eq 15.18 pooled R2 path.""" + """SDS 3 Pareto (Eqs 15-17, 15-20) matches Tom's VAS run of 10/3/2026 (PM SDS 3 deck, slide 30).""" result = study_sds3.loss_function(target=237.0) assert result.sds == 3 - assert round(result.pct_interaction, 1) == 42.4 - assert round(result.pct_unexplained, 1) == 25.0 - assert round(result.pct_centering, 1) == 16.4 - assert round(result.pct_pdc, 1) == 13.7 - assert round(result.pct_time, 1) == 2.5 + assert round(result.pct_interaction, 1) == 33.1 + assert round(result.pct_unexplained, 1) == 30.3 + assert round(result.pct_centering, 1) == 18.5 + assert round(result.pct_pdc, 1) == 15.4 + assert round(result.pct_time, 1) == 2.8 + + def test_ads23_unexplained_is_r2_variance(self, study_sds2): + """Eq 15-17: ADS 2/3 unexplained is the sample variance of R2, nothing more.""" + result = study_sds2.loss_function(target=237.0) + r2 = study_sds2.dataset['R2'].dropna() + assert result.unexplained == pytest.approx(r2.var(ddof=1), rel=1e-12) + + @pytest.mark.parametrize('response', ['PM SDS 2', 'PM SDS 3']) + def test_ads23_parts_add_to_total_loss(self, pb, response): + """Eqs 15-18 to 15-20: with no floor, the parts add to (Ybar - T)^2 + S^2 exactly.""" + study = pb.formulate(response=response, factors=['FACTOR 1', 'FACTOR 2'], time='PRODUCTION TIME') + result = study.loss_function(target=237.0) + assert result.interaction > 0.0 + s2 = study.dataset[response].var(ddof=1) + assert result.total == pytest.approx(result.centering + s2, rel=1e-12) + + def test_ads23_interaction_floored_at_zero_on_pure_noise(self): + """PM INERT (pure noise) under the PM SDS 5 pattern: Eq 15-20 remainder is negative, set to 0. + + Tom's VAS run of 10/3/2026 (PM5 INERT deck, slide 30) reports 84.0 / 14.0 / 1.5 / 0.5 / 0.0. + """ + df = pd.read_csv('validation/PBTESTDATABASE_T100.csv', na_values=['*']) + df['PM INERT SDS 5'] = df['PM INERT'].where(df['PM SDS 5'].notna()) + study = ProcessBehavior(df).formulate( + response='PM INERT SDS 5', factors=['FACTOR 1', 'FACTOR 2'], time='PRODUCTION TIME' + ) + result = study.loss_function(target=0.0) + assert result.interaction == 0.0 + assert round(result.pct_unexplained, 1) == 84.0 + assert round(result.pct_time, 1) == 14.0 + assert round(result.pct_pdc, 1) == 1.5 + assert round(result.pct_centering, 1) == 0.5 # ============================================================================ diff --git a/tests/test_manual_citations.py b/tests/test_manual_citations.py new file mode 100644 index 0000000..cb4a2e5 --- /dev/null +++ b/tests/test_manual_citations.py @@ -0,0 +1,49 @@ +"""Equation citations name Bishop's VAS documentation manual in one form, so they can be checked. + +The library cites the manual by edition and equation, e.g. "(10-1 manual Eq 14-8)" or "Eqs 14-4..14-13". +The private manual repository reads these citations and checks every number against the manual's +equations, and reports the ones a new edition changes; that only works if the citations use the +chapter-number form. These tests keep the form: no dotted numbers ("Eq 12.4", an older manual's style), +and every file that cites an equation names the edition it means. +""" +from __future__ import annotations + +import json +import re +import subprocess +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[1] +CITE = re.compile(r'\bEq(?:uation)?s?\.?\s*\d{1,2}-\d{1,3}') +DOTTED = re.compile(r'\bEq(?:uation)?s?\.?\s*\d{1,2}\.\d{1,3}') +EDITION = re.compile(r'\b\d{1,2}-\d{1,2}(?:-\d{4})? manual\b|\bmanual dated \d{1,2}-\d{1,2}-\d{4}\b') + + +def _sources() -> dict[str, str]: + files = subprocess.run( + ['git', 'ls-files', 'processbehavior', 'docs', 'tests', 'validation', 'README.md', 'CONTRIBUTING.md'], + capture_output=True, text=True, cwd=ROOT, check=True, + ).stdout.split() + out = {} + for f in files: + # released history keeps the numbers it was written with + if not f.endswith(('.py', '.md', '.ipynb')) or Path(f).name.lower() == 'changelog.md': + continue + text = (ROOT / f).read_text(encoding='utf-8', errors='replace') + if f.endswith('.ipynb'): + text = '\n'.join(''.join(c.get('source', [])) for c in json.loads(text).get('cells', [])) + out[f] = text + return out + + +def test_citations_use_chapter_number_form(): + dotted = {f: DOTTED.findall(t) for f, t in _sources().items() if DOTTED.search(t)} + dotted.pop('tests/test_manual_citations.py', None) # this file names the form it forbids + assert dotted == {} + + +def test_every_citing_file_names_the_edition(): + sources = _sources() + citing = {f for f, t in sources.items() if CITE.search(t)} + assert len(citing) >= 20, 'too few citations found: the scan is broken' + assert sorted(f for f in citing if not EDITION.search(sources[f])) == [] diff --git a/tests/test_maximum_information.py b/tests/test_maximum_information.py index 9ddba78..0d11878 100644 --- a/tests/test_maximum_information.py +++ b/tests/test_maximum_information.py @@ -198,3 +198,29 @@ def test_plot_with_string_theme(self): def test_plot_with_bins(self): fig = self.result.plot(bins=15) assert isinstance(fig, go.Figure) + + +# --------------------------------------------------------------------------- +# 10-1 manual R2: limits match Tom's VAS run of 10/3/2026 (slide 33 of each deck) +# --------------------------------------------------------------------------- + + +@pytest.mark.parametrize( + ('response', 'mask', 'half_width'), + [ + ('PM SDS 2', None, 2.76), # ADS 2, complete grid (M = KT = 800) + ('PM SDS 3', None, 3.70), # ADS 3, mixed replication (M = 3042) + ('PM INERT', 'PM SDS 5', 3.51), # ADS 2 from an incomplete grid (SDS 5 pattern, M = 641) + ], +) +def test_r2_chart_limits_match_vas_10_1(response, mask, half_width): + df = pd.read_csv(VALIDATION_CSV, na_values=['*']) + if mask is not None: + df[response] = df[response].where(df[mask].notna()) + study = ProcessBehavior(df).formulate( + response=response, factors=['FACTOR 1', 'FACTOR 2'], time='PRODUCTION TIME', precision=12 + ) + mi = study.maximum_information() + assert mi.r2_mean == pytest.approx(0.0, abs=0.005) + assert mi.lpl == pytest.approx(-half_width, abs=0.005) + assert mi.upl == pytest.approx(half_width, abs=0.005) diff --git a/tests/test_r2_unavailable.py b/tests/test_r2_unavailable.py new file mode 100644 index 0000000..87cf3c6 --- /dev/null +++ b/tests/test_r2_unavailable.py @@ -0,0 +1,56 @@ +"""R2 is unavailable, with a stated reason, when the layout leaves the R2 scale factor undefined. + +With a one-observation subgroup, R2 is the condition-and-period-adjusted series differenced and divided +by the R2 scale factor c(K, M) (10-1 manual Eqs 14-4..14-13). c needs at least two process design +conditions; with one condition the adjusted series is identically zero and R2 carries no information. +""" + +import numpy as np +import pytest + +import processbehavior as pb +from processbehavior import ChartNotAvailableError, ProcessBehaviorWarning, ValidationError + + +@pytest.fixture(scope='module') +def one_condition(): + df = pb.make_design(2, K1=1, K2=1, T=15, seed=1) + with pytest.warns(ProcessBehaviorWarning, match='R2 is unavailable'): + study = pb.formulate(df, response='y', factors=['factor 1'], time='time') + return study + + +def test_formulate_succeeds_and_r2_is_nan_not_inf(one_condition): + ds = one_condition.dataset + assert one_condition.analytical_design_state.sds == 2 + assert ds['R2'].isna().all() + assert not np.isinf(ds[['R2', 'R3', 'R4', 'R5']].to_numpy(dtype=float)).any() + assert ds['R1'].notna().all() + + +def test_r2_family_not_offered(one_condition): + offered = {v for _, v in one_condition.residual_charts} + assert offered.isdisjoint({'R2', 'R3', 'R4', 'R5', 'R6'}) + assert list(one_condition.residuals) == ['R1'] + + +@pytest.mark.parametrize('value', ['R2', 'R3', 'RCR5']) +def test_execute_r2_family_raises_with_reason(one_condition, value): + with pytest.raises(ChartNotAvailableError, match='R2 scale factor'): + one_condition.execute(chart='X', by=[], value=value) + + +def test_why_not_gives_the_reason(one_condition): + assert 'R2 scale factor' in one_condition.why_not('X', value='R2') + + +def test_methods_needing_r2(one_condition): + methods = one_condition.available_analysis_methods.set_index('method')['available'] + assert not methods['Loss Function'] and not methods['Maximum Information'] + with pytest.raises(ValidationError, match='R2 scale factor'): + one_condition.loss_function() + with pytest.raises(ValidationError, match='R2 scale factor'): + one_condition.maximum_information() + cap = one_condition.capability(usl=100.0, lsl=0.0) + assert cap.cp is None + assert 'R2 scale factor' in cap.potential_unavailable_reason diff --git a/tests/test_r6_effect.py b/tests/test_r6_effect.py new file mode 100644 index 0000000..9b13dd7 --- /dev/null +++ b/tests/test_r6_effect.py @@ -0,0 +1,43 @@ +"""R6's factor-level effect is the condition effect averaged over the level, without R2's level mean. + +R6 = α_i + R2 (10-1 manual Eq 14-25). The manual takes α_i as the level's mean of R5 (Eq 14-24, "≈ α_i"); +R5 = ρ̂_k + R2 (Eq 14-19), so that mean also carries the level's average R2. VAS leaves it out: Tom's +Medicare run (10/3/2026, slide 52) centres the organisation-effects Xbar chart at 10831.1, which is the +effect without it (the mean of R5 gives 10829.8). On ADS 1 the two agree, because R2 averages to zero in +every cell. +""" +from __future__ import annotations + +import numpy as np +import pandas as pd +import pytest + +import processbehavior as pb + + +def test_medicare_r6_effect_is_the_condition_effect(): + study = pb.formulate( + pd.read_csv('validation/aco_per_capita_expenditure.csv'), + response='PER CAPITA EXPENDITURE', factors=['ACO'], time='YEAR', precision=12, + ) + result = study.execute(chart='Xbar', by=['ACO'], value='R6', recentered=True) + frame = result._dataset + alpha = frame['R6'] - frame['R2'] + rho = frame['Ybar_k'] - frame['Ybar'] + ok = frame['R2'].notna() + assert np.allclose(alpha[ok], rho[ok], atol=1e-9) + # the level's mean R2 is not in the effect (it is in the mean of R5) + r5_mean = frame.groupby('ACO')['R5'].transform('mean') + assert not np.allclose(alpha[ok], r5_mean[ok], atol=1e-3) + assert round(result.get_statistics('Xbar')['center'], 1) == 10831.1 # VAS slide 52 + + +def test_ads1_r6_effect_equals_mean_of_r5(): + df = pd.read_csv('validation/PBTESTDATABASE_T100.csv', na_values=['*']) + study = pb.formulate( + df, response='PM SDS 1', factors=['FACTOR 1', 'FACTOR 2'], time='PRODUCTION TIME', precision=12 + ) + frame = study.execute(chart='Xbar', by=['FACTOR 1'], value='R6')._dataset + alpha = frame['R6'] - frame['R2'] + r5_mean = frame.groupby('FACTOR 1')['R5'].transform('mean') + assert alpha.to_numpy() == pytest.approx(r5_mean.to_numpy(), abs=1e-9) diff --git a/tests/test_recentered_mr_fix.py b/tests/test_recentered_mr_fix.py index 7b78b02..ee426f2 100644 --- a/tests/test_recentered_mr_fix.py +++ b/tests/test_recentered_mr_fix.py @@ -69,7 +69,7 @@ def test_xmr_limit_width_matches(self, sds2_study, residual): ) def test_xmr_r3_reference_values(self, sds2_study): - """SDS 2, PM2, R3, by=[], XmR recentered: match Tom's Minitab values.""" + """SDS 2, PM2, R3, by=[], XmR recentered: match Tom's VAS run of 10/3/2026.""" result = sds2_study.execute( chart='X', value='R3', @@ -78,10 +78,10 @@ def test_xmr_r3_reference_values(self, sds2_study): ) stats = result.charts['X']['statistics'] - # Tom's reference: CL=237.79, LPL=233.94, UPL=241.63, half-width=3.85 - assert stats['center'] == pytest.approx(237.79, abs=0.1) - half_width = (stats['upl'] - stats['lpl']) / 2 - assert half_width == pytest.approx(3.85, abs=0.05) + # Tom's 10-1 VAS (PM SDS 2 deck, slide 28): CL=237.79, LBL=233.04, UBL=242.53 + assert stats['center'] == pytest.approx(237.79, abs=0.01) + assert stats['lpl'] == pytest.approx(233.04, abs=0.01) + assert stats['upl'] == pytest.approx(242.53, abs=0.01) class TestRecenteredRChart: @@ -112,7 +112,7 @@ def test_r_chart_limits_match(self, sds2_study, residual): assert r_stats_plain['lpl'] == pytest.approx(r_stats_rc['lpl'], abs=0.01) def test_r_chart_r3_reference_values(self, sds2_study): - """R chart reference values: CL=1.440, UPL=4.720, LPL=0.""" + """mR chart of R3 matches Tom's VAS run of 10/3/2026 (PM SDS 2 deck, slide 29): CL=1.78, UBL=5.83.""" result = sds2_study.execute( chart='X', value='R3', @@ -121,8 +121,8 @@ def test_r_chart_r3_reference_values(self, sds2_study): ) r_stats = result.charts['mR']['statistics'] - assert r_stats['center'] == pytest.approx(1.440, abs=0.01) - assert r_stats['upl'] == pytest.approx(4.720, abs=0.05) + assert r_stats['center'] == pytest.approx(1.78, abs=0.01) + assert r_stats['upl'] == pytest.approx(5.83, abs=0.01) assert r_stats['lpl'] == pytest.approx(0.0, abs=0.01) @@ -197,6 +197,6 @@ def test_non_recentered_xmr_unchanged(self, sds2_study): result = sds2_study.execute(chart='X', value='R3', by=[]) stats = result.charts['X']['statistics'] - # These are known-good values from before the fix + # Half-width of Tom's 10-1 VAS limits (PM SDS 2 deck, slide 28): (242.53 - 233.04) / 2 half_width = (stats['upl'] - stats['lpl']) / 2 - assert half_width == pytest.approx(3.85, abs=0.05) + assert half_width == pytest.approx(4.745, abs=0.01) diff --git a/tests/test_recentering.py b/tests/test_recentering.py new file mode 100644 index 0000000..4b55e74 --- /dev/null +++ b/tests/test_recentering.py @@ -0,0 +1,55 @@ +"""Re-centred residuals follow Bishop's 10-1 manual Eq 14-26: RCR = R + Ybar. + +Re-centring moves a residual onto the measurement scale without changing what it shows, so an +effect chart of a re-centred residual plots that effect plus R2, centred on the grand mean. +""" + +import numpy as np +import pandas as pd +import pytest + +import processbehavior as pb + +T100 = 'validation/PBTESTDATABASE_T100.csv' +FACTORS = ['FACTOR 1', 'FACTOR 2'] + + +def _study(response, mask=None): + df = pd.read_csv(T100, na_values=['*']) + if mask is not None: + df[response] = df[response].where(df[mask].notna()) + return pb.formulate(df, response=response, factors=FACTORS, time='PRODUCTION TIME', precision=12) + + +@pytest.mark.parametrize('response', ['PM SDS 1', 'PM SDS 2', 'PM SDS 3']) +def test_rcr_is_residual_plus_grand_mean(response): + ds = _study(response).dataset + for k in (1, 3, 4, 5): + diff = (ds[f'RCR{k}'] - (ds[f'R{k}'] + ds['Ybar'])).abs().max() + assert diff <= 1e-9, f'RCR{k} != R{k} + Ybar' + + +def test_pm5_inert_interaction_chart_matches_vas(): + """PM INERT under the PM SDS 5 pattern (ADS 2): Tom's 10/3/2026 deck, slides 28-29. + + The re-centred R3 individuals chart reads 0.07 (-5.88 / 6.03) with moving range 2.24 / 7.31. + """ + study = _study('PM INERT', mask='PM SDS 5') + r = study.execute(chart='X', by=[], value='R3', recentered=True, companion=True) + x, mr = r.statistics('X'), r.statistics('mR') + assert x['center'] == pytest.approx(0.07, abs=0.005) + assert x['lpl'] == pytest.approx(-5.88, abs=0.005) + assert x['upl'] == pytest.approx(6.03, abs=0.005) + assert mr['center'] == pytest.approx(2.24, abs=0.005) + assert mr['upl'] == pytest.approx(7.31, abs=0.005) + + +def test_period_effects_live_in_r4_not_r3(): + """By period, the re-centred R3 averages out flat (the interaction sums to zero over conditions); + the period effects are R4's. Charting period effects with R3 would show nothing.""" + study = _study('PM SDS 1') + by_t = ['PRODUCTION TIME'] + r3 = study.execute(chart='Xbar', by=by_t, value='R3', recentered=True).charts['Xbar']['data']['xbar'] + r4 = study.execute(chart='Xbar', by=by_t, value='R4', recentered=True).charts['Xbar']['data']['xbar'] + assert np.std(r3) < 1e-6 + assert np.std(r4) > 0.1 diff --git a/tests/test_reference_integrity.py b/tests/test_reference_integrity.py index c51aad0..3f9317f 100644 --- a/tests/test_reference_integrity.py +++ b/tests/test_reference_integrity.py @@ -1,7 +1,7 @@ """The Bishop reference artifacts must never change quietly. These files ARE the ground truth: the T100 validation database and the three -Minitab reference-analysis fixtures that e2e_bishop_report.py's 280 assertions +Minitab reference-analysis fixtures that e2e_bishop_report.py's assertions check against. Every number the library claims to validate traces back to them, so an edit here is an edit to what "correct" means for the whole package. @@ -30,16 +30,68 @@ '7b6e407cf33dbd84380bb0894a31dc5e5863a27f3f101fe958e3c8ef94989328', ), ( - 'tests/fixtures/bishop_analyses/vassds1analysis.json', - 'e34f276446584b6ce2c765dfc7f8a154fa74bd01e82e6335b13e2af1b85e8c26', + 'validation/PBTESTKNOWNEFFECTS_T100.csv', + '29704adcfa16d4bf06ab46b9fa5ff5e570ab9e0261c3103a53fbd7312e8975bf', ), ( - 'tests/fixtures/bishop_analyses/vassds2analysis.json', - 'aeaebaf82cdef7c121ffc73dad9419ef0ac723b1f8369a451d8bc6a3eb1b62cb', + 'tests/fixtures/bishop_analyses/pm_sds_1.json', + '78c0f9c40239726d7ca56f775c0aa4b22655ab23796d32ad16210c1ce66fcab7', ), ( - 'tests/fixtures/bishop_analyses/vassds3analysis.json', - 'b5a34385cf3d3184f1a016854c62901fe1ab44111897ca80e1ca8fae6c2f3440', + 'tests/fixtures/bishop_analyses/pm_sds_2.json', + '9b3cc7ec7954da8d9490cb7da9519c11439cdf83febd4eed87e778842b9317f8', + ), + ( + 'tests/fixtures/bishop_analyses/pm_sds_3.json', + '70811e5f59fcd9995e9dc4437aec1aec08868add3996d95b3b245ed02e07eb7c', + ), + ( + 'tests/fixtures/bishop_analyses/pm_sds_4.json', + 'f556d81251ff35706d8f5eddd5ad9b8f46b4af08520cfc19185ed223139f665c', + ), + ( + 'tests/fixtures/bishop_analyses/pm_sds_5.json', + '60c205dc4a9dc49398cfa00621272651c11be64f1cfb620115e4a928edab70aa', + ), + ( + 'tests/fixtures/bishop_analyses/pm_sds_6.json', + '4247d11e987aefb85c75cc0df5ec4aa3dd477eba6d0f6bfc2ee6e53acecc5443', + ), + ( + 'tests/fixtures/bishop_analyses/pm_inert_sds_1.json', + '32e31db625f6bbeb2d9b9759b5e635b31d0ec4f5ba0235fd7d8c616d72f06f1b', + ), + ( + 'tests/fixtures/bishop_analyses/pm_inert_sds_2.json', + '096cad6602731fdfc536c8bed89c6d87427496c61879cdae53d6715f6eb56eca', + ), + ( + 'tests/fixtures/bishop_analyses/pm_inert_sds_3.json', + 'eab2e47b7781871a82c48a51dc0b3ad156cc33580fe1b3d6074b1341afd86035', + ), + ( + 'tests/fixtures/bishop_analyses/pm_inert_sds_4.json', + '50069462af1eaac4161153be3d35814342521f5976ab80dfe7e9fe7cadb6123b', + ), + ( + 'tests/fixtures/bishop_analyses/pm_inert_sds_5.json', + 'aabf897651880dccde74b8aef2a21e034e23878e4ac25adc6f10f19f3291a66b', + ), + ( + 'tests/fixtures/bishop_analyses/pm_inert_sds_6.json', + '5c5d4a8c88b77d017863a564c653e90d9f38010656342504b5269b8e65ef01cf', + ), + ( + 'tests/fixtures/bishop_analyses/known_effects_sds_1.json', + '4d4cbd86327c4c4b820df72cc736b15cc4d4cd82f4e6c8da14f6670e64a49978', + ), + ( + 'validation/aco_per_capita_expenditure.csv', + '4c91829f13f3774eaf748be3064c9c9a9e2e288c6e5fa4946271e75fed77ac94', + ), + ( + 'tests/fixtures/bishop_analyses/aco_medicare.json', + '9494ee2e7ca31ce508347f8bd2e216de41252bed332e7d1bfdea78da677fd793', ), ] diff --git a/tests/test_residual_calculator.py b/tests/test_residual_calculator.py index 0f164dd..2718f06 100644 --- a/tests/test_residual_calculator.py +++ b/tests/test_residual_calculator.py @@ -9,6 +9,8 @@ - Tom Bishop validation data """ +import math + import pandas as pd import pytest @@ -25,6 +27,7 @@ calculate_r5_residual, calculate_time_means, calculate_vas_residuals, + r2_scale_factor, ) # ============================================================================ @@ -136,6 +139,25 @@ def test_calculate_r1_residual_sum_is_zero(): assert pytest.approx(r1.sum(), abs=1e-10) == 0.0 +@pytest.mark.parametrize( + ('k', 'm', 'expected'), + [ + (8, 641, 0.65729), # PM SDS 5 layout: 8 conditions, 641 observations + (8, 800, 0.65812), # PM SDS 2 layout: 8 x 100, one per cell + (24, 96, 0.59843), # Medicare ACO file: 24 organisations x 4 years + ], +) +def test_r2_scale_factor_matches_manual_layouts(k, m, expected): + """c(K, M) = sqrt((K-1)/(2K) * (1 - K/(M-1))), Eq 14-8 / 14-13.""" + assert r2_scale_factor(k, m) == pytest.approx(expected, abs=5e-6) + + +@pytest.mark.parametrize(('k', 'm'), [(1, 50), (1, 2), (5, 6), (5, 5), (0, 10)]) +def test_r2_scale_factor_undefined_is_nan(k, m): + """Undefined for K < 2 or M < K + 2: NaN, never an exception.""" + assert math.isnan(r2_scale_factor(k, m)) + + def test_calculate_r2_exact(): """R2 exact = Y - Ybar_kt (within-cell deviation).""" # Build data with required keys @@ -155,60 +177,57 @@ def test_calculate_r2_exact(): pd.testing.assert_series_equal(result, expected, check_names=False) -def test_calculate_r2_ma2(): - """R2 ma2 uses backward 2-point moving average per Tom Bishop.""" +# R2 for the singleton design states (10-1 manual Eqs 14-4..14-13). +# Hand-worked 2 x 3 grid, one observation per cell: +# A: 10, 12, 11 B: 14, 13, 18 +# Ybar = 13; Ybar_k = 11 (A), 15 (B); Ybar_t = 12, 12.5, 14.5 +# Z = Y - Ybar_k - Ybar_t + Ybar = 0, 1.5, -1.5, 0, -1.5, 1.5 (A1..A3, B1..B3) +# c(2, 6) = sqrt(1/4 * (1 - 2/5)) = sqrt(0.15) +# R2_j = (Z_j - Z_{j-1}) / (2c): NaN, then 1.5, -3.0, 1.5, -1.5, 3.0 over 2*sqrt(0.15) +_GRID_2X3 = { + 'lane': ['A', 'A', 'A', 'B', 'B', 'B'], + 'time': [1, 2, 3, 1, 2, 3], + 'weight': [10.0, 12.0, 11.0, 14.0, 13.0, 18.0], +} +_GRID_2X3_R2 = [float('nan')] + [d / (2 * math.sqrt(0.15)) for d in (1.5, -3.0, 1.5, -1.5, 3.0)] + + +def test_calculate_r2_ma2_scaled_z_difference(): + """R2 = (Z_j - Z_{j-1}) / (2 c(K, M)), aligned back to the frame's own row order.""" df = pd.DataFrame( { - 'weight': [10.0, 11.0, 12.0], - 'Ybar_kt': [10.0, 11.0, 12.0], - 'cell_key': [('A', 1), ('A', 2), ('A', 3)], - 'rsg_key': ['A', 'A', 'A'], - 'sort_key': [(('A',), 1, 0), (('A',), 2, 0), (('A',), 3, 0)], + 'weight': _GRID_2X3['weight'], + 'Ybar_kt': _GRID_2X3['weight'], + 'Ybar': [13.0] * 6, + 'Ybar_k': [11.0, 11.0, 11.0, 15.0, 15.0, 15.0], + 'Ybar_t': [12.0, 12.5, 14.5, 12.0, 12.5, 14.5], + 'sort_key': list(range(6)), } ) + shuffled = df.sample(frac=1.0, random_state=7) - result = calculate_r2(df, 'weight', r2_method='ma2') + result = calculate_r2(shuffled, 'weight', r2_method='ma2', n_conditions=2) - # R2_j = (Y_j - Y_{j-1}) / 2 - # Point 0: NaN (no predecessor — Bishop leaves j=1 blank) - # Point 1: (11-10)/2 = 0.5 - # Point 2: (12-11)/2 = 0.5 - assert pd.isna(result.iloc[0]) - assert pytest.approx(result.iloc[1], 0.01) == 0.5 - assert pytest.approx(result.iloc[2], 0.01) == 0.5 + pd.testing.assert_index_equal(result.index, shuffled.index) + by_sort = result.loc[df.index] + assert pd.isna(by_sort.iloc[0]) + assert by_sort.iloc[1:].tolist() == pytest.approx(_GRID_2X3_R2[1:], rel=1e-12) -def test_calculate_r2_mixed_cells_uses_ma2_for_all(): - """R2 with any singletons uses MA2 across entire sorted stream. - - When any cell has n=1, ALL observations use MA2 on the full - canonical-sorted stream — no per-cell exact/MA2 selection. - Bishop Eq 13.7-13.9: j=2,...,J with no grouping; only j=1 gets 0. - """ - # A×1 has n=2, B×1 has n=1, B×2 has n=1 - # sort_key order: A×1(0), A×1(1), B×1(0), B×2(0) +def test_calculate_r2_ma2_requires_n_conditions(): + """The scaled difference needs K for the R2 scale factor; missing K is a programming error.""" df = pd.DataFrame( { - 'weight': [10.0, 10.5, 9.0, 11.0], - 'Ybar_kt': [10.25, 10.25, 9.0, 11.0], - 'cell_key': [('A', 1), ('A', 1), ('B', 1), ('B', 2)], - 'rsg_key': ['A', 'A', 'B', 'B'], - 'sort_key': [(('A',), 1, 0), (('A',), 1, 1), (('B',), 1, 0), (('B',), 2, 0)], + 'weight': [1.0, 2.0], + 'Ybar_kt': [1.0, 2.0], + 'Ybar': [1.5] * 2, + 'Ybar_k': [1.5] * 2, + 'Ybar_t': [1.0, 2.0], + 'sort_key': [0, 1], } ) - n_per_cell = pd.Series([2, 2, 1, 1]) - - result = calculate_r2(df, 'weight', r2_method='ma2', n_per_cell=n_per_cell) - - # MA2 across full sorted stream (no grouping): - # j=0 (10.0): first obs → NaN (no predecessor) - # j=1 (10.5): (10.5 - 10.0)/2 = 0.25 - # j=2 (9.0): (9.0 - 10.5)/2 = -0.75 - # j=3 (11.0): (11.0 - 9.0)/2 = 1.0 - assert pd.isna(result.iloc[0]) - assert pytest.approx(result.iloc[1], 0.01) == 0.25 - assert pytest.approx(result.iloc[2], 0.01) == -0.75 - assert pytest.approx(result.iloc[3], 0.01) == 1.0 + with pytest.raises(RuntimeError, match='n_conditions'): + calculate_r2(df, 'weight', r2_method='ma2') def test_calculate_r3_residual(): @@ -355,27 +374,20 @@ def test_calculate_vas_residuals_r1_sum_is_zero(sds1_df, spec_sds1): assert pytest.approx(result['R1'].sum(), abs=1e-10) == 0.0 -def test_calculate_vas_residuals_sds2_uses_moving_average(spec_sds1): - """SDS 2 (ma2) should use backward moving average for R2.""" - sds2_df = pd.DataFrame({'lane': ['A', 'A', 'A'], 'time': [1, 2, 3], 'weight': [10.0, 11.0, 12.0]}) - df = _prepare_for_vas(sds2_df, spec_sds1) - result = calculate_vas_residuals(df, spec_sds1, r2_method='ma2') +def test_calculate_vas_residuals_ma2_matches_hand_computation(spec_sds1): + """End to end through data preparation: the 2 x 3 grid gives the hand-worked R2.""" + df = _prepare_for_vas(pd.DataFrame(_GRID_2X3), spec_sds1) + result = calculate_vas_residuals(df, spec_sds1, r2_method='ma2').sort_values('sort_key') - assert 'R2' in result.columns - # R2 = (Y_j - Y_{j-1}) / 2 - # First observation: NaN (no predecessor — Bishop leaves j=1 blank) assert pd.isna(result['R2'].iloc[0]) - # Remaining: (11-10)/2=0.5, (12-11)/2=0.5 - assert pytest.approx(result['R2'].iloc[1], 0.01) == 0.5 - assert pytest.approx(result['R2'].iloc[2], 0.01) == 0.5 + assert result['R2'].iloc[1:].tolist() == pytest.approx(_GRID_2X3_R2[1:], rel=1e-12) def test_calculate_vas_residuals_sds3_uses_ma2_for_all(spec_sds1): - """SDS 3 (any singletons) uses MA2 across entire sorted stream. + """ADS 3 (any singleton) runs one scaled-difference stream over every observation. - When any cell has n=1, ALL observations use MA2 on the full - canonical-sorted stream — no per-cell exact/MA2 selection. - Only j=1 gets R2=NaN (no predecessor). + No per-cell choice between exact and ma2: replicated cells are differenced in the + same condition-then-time stream. Only j=1 gets R2=NaN (no predecessor). """ # A has n=2 at time=1, B has n=1 at time=1 and n=1 at time=2 sds3_df = pd.DataFrame({'lane': ['A', 'A', 'B', 'B'], 'time': [1, 1, 1, 2], 'weight': [10.0, 10.5, 9.0, 11.0]}) @@ -383,15 +395,14 @@ def test_calculate_vas_residuals_sds3_uses_ma2_for_all(spec_sds1): n_per_cell = df.groupby('cell_key', observed=True)['weight'].transform('size') result = calculate_vas_residuals(df, spec_sds1, r2_method='ma2', n_per_cell=n_per_cell) - # MA2 across full sorted stream (A×1(0), A×1(1), B×1(0), B×2(0)): - # Only the very first observation in the entire stream gets R2=NaN - # All others get (Y_j - Y_{j-1})/2 + # One stream (A×1(0), A×1(1), B×1(0), B×2(0)): + # only the very first observation in the entire stream gets R2=NaN a_rows = result[result['rsg'] == 'A'] assert pd.isna(a_rows['R2'].iloc[0]) # j=1: first in stream → NaN b_rows = result[result['rsg'] == 'B'] - assert b_rows['R2'].iloc[0] != 0 # Not first in stream — gets MA2 value - assert b_rows['R2'].iloc[1] != 0 # Also gets MA2 value + assert b_rows['R2'].iloc[0] != 0 # Not first in stream — gets a value + assert b_rows['R2'].iloc[1] != 0 # Also gets a value def test_calculate_vas_residuals_sds1_exact_replicated(spec_sds1): @@ -410,20 +421,23 @@ def test_calculate_vas_residuals_sds1_exact_replicated(spec_sds1): pd.testing.assert_series_equal(result['R2'], expected_r2, check_names=False) -def test_calculate_vas_residuals_sparse_uses_moving_average(spec_sds1): - """Sparse data (all n=1) should use MA2 for R2.""" - sds6_df = pd.DataFrame({'lane': ['A', 'A', 'A'], 'time': [1, 2, 3], 'weight': [10.0, 11.0, 12.0]}) - df = _prepare_for_vas(sds6_df, spec_sds1) +def test_calculate_vas_residuals_single_condition_r2_unavailable(spec_sds1): + """One condition (K = 1): the R2 scale factor is undefined, so R2 is all NaN — never ±inf.""" + single = pd.DataFrame({'lane': ['A', 'A', 'A'], 'time': [1, 2, 3], 'weight': [10.0, 11.0, 12.0]}) + df = _prepare_for_vas(single, spec_sds1) result = calculate_vas_residuals(df, spec_sds1, r2_method='ma2') - assert pd.isna(result['R2'].iloc[0]) # j=1: no predecessor → NaN - assert pytest.approx(result['R2'].iloc[1], 0.01) == 0.5 - assert pytest.approx(result['R2'].iloc[2], 0.01) == 0.5 + for col in ['R2', 'R3', 'R4', 'R5']: + assert result[col].isna().all(), f'{col} should be unavailable when K = 1' + assert result['R1'].notna().all() -# ============================================================================ -# Test: Pure Functions Are Truly Pure -# ============================================================================ +def test_calculate_vas_residuals_exact_rejects_singletons(spec_sds1): + """'exact' with a one-observation cell is a methodology invariant violation.""" + mixed = pd.DataFrame({'lane': ['A', 'A', 'B'], 'time': [1, 1, 1], 'weight': [10.0, 10.5, 9.0]}) + df = _prepare_for_vas(mixed, spec_sds1) + with pytest.raises(RuntimeError, match='exact'): + calculate_vas_residuals(df, spec_sds1, r2_method='exact') def test_pure_functions_dont_modify_inputs(): @@ -543,131 +557,52 @@ def test_no_nan_residuals_all_r2_methods(r2_method, df_key, sds1_df, sds2_df, sd # ============================================================================ -# Test: Tom Bishop Validation - R2 = MR/2 for MA2 +# Test: R2 properties for the singleton design states (10-1 manual) # ============================================================================ -def test_r2_ma2_equals_half_moving_range(): - """ - Validate Tom Bishop's formula: R2 = (Y_j - Y_{j-1}) / 2 = MR / 2. +def test_r2_ma2_ignores_condition_and_period_offsets(spec_sds1): + """Z removes the condition and period effects before differencing, so shifting a whole + condition or a whole period leaves R2 unchanged — including at the lane boundaries.""" + lanes, periods = ['A', 'B', 'C'], [1, 2, 3, 4, 5] + noise = [0.3, -1.1, 0.8, 0.0, 1.7, -0.4, 0.9, -0.6, 1.2, -1.5, 0.5, 0.2, -0.9, 1.0, -0.2] + base = pd.DataFrame({'lane': [k for k in lanes for _ in periods], 'time': periods * len(lanes), 'weight': noise}) + shifted = base.copy() + shifted['weight'] = base['weight'] + base['lane'].map({'A': 0.0, 'B': 50.0, 'C': -30.0}) + 7.0 * base['time'] - This test confirms the mathematical relationship between R2 residuals - and the moving range used in XmR charts. - """ - df = pd.DataFrame( - { - 'weight': [10.0, 12.0, 11.0, 13.0, 12.5], - 'Ybar_kt': [10.0, 12.0, 11.0, 13.0, 12.5], - 'cell_key': [('A', i) for i in range(1, 6)], - 'rsg_key': ['A'] * 5, - 'sort_key': [(('A',), i, 0) for i in range(1, 6)], - } - ) - - r2 = calculate_r2(df, 'weight', r2_method='ma2') + r2_base = calculate_vas_residuals(_prepare_for_vas(base, spec_sds1), spec_sds1, r2_method='ma2') + r2_shift = calculate_vas_residuals(_prepare_for_vas(shifted, spec_sds1), spec_sds1, r2_method='ma2') - # R2_j = (Y_j - Y_{j-1}) / 2 - # j=1: NaN (no predecessor) - # j=2: (12-10)/2 = 1.0 - # j=3: (11-12)/2 = -0.5 - # j=4: (13-11)/2 = 1.0 - # j=5: (12.5-13)/2 = -0.25 - assert pd.isna(r2.iloc[0]) - assert pytest.approx(r2.iloc[1], 0.01) == 1.0 - assert pytest.approx(r2.iloc[2], 0.01) == -0.5 - assert pytest.approx(r2.iloc[3], 0.01) == 1.0 - assert pytest.approx(r2.iloc[4], 0.01) == -0.25 + a = r2_base.sort_values('sort_key')['R2'].to_numpy() + b = r2_shift.sort_values('sort_key')['R2'].to_numpy() + assert pd.isna(a[0]) and pd.isna(b[0]) + assert b[1:] == pytest.approx(a[1:], abs=1e-9) -def test_r2_ma2_multiple_groups(): - """ - MA2 R2 runs across the entire canonical-sorted stream, not per group. - - Bishop Eq 13.7-13.9: j=2,...,J with no grouping. Only j=1 gets R2=NaN. - The MA2 continues across rsg_key boundaries. - """ - df = pd.DataFrame( - { - 'weight': [10.0, 11.0, 12.0, 20.0, 22.0, 21.0], - 'Ybar_kt': [10.0, 11.0, 12.0, 20.0, 22.0, 21.0], - 'cell_key': [('A', 1), ('A', 2), ('A', 3), ('B', 1), ('B', 2), ('B', 3)], - 'rsg_key': ['A', 'A', 'A', 'B', 'B', 'B'], - 'sort_key': [ - (('A',), 1, 0), - (('A',), 2, 0), - (('A',), 3, 0), - (('B',), 1, 0), - (('B',), 2, 0), - (('B',), 3, 0), - ], - } - ) - - result = calculate_r2(df, 'weight', r2_method='ma2') - - # Full stream MA2 (no grouping): - # j=0 (10.0): first obs → NaN (no predecessor) - # j=1 (11.0): (11-10)/2 = 0.5 - # j=2 (12.0): (12-11)/2 = 0.5 - # j=3 (20.0): (20-12)/2 = 4.0 (crosses A→B boundary) - # j=4 (22.0): (22-20)/2 = 1.0 - # j=5 (21.0): (21-22)/2 = -0.5 - assert pd.isna(result.iloc[0]) - assert pytest.approx(result.iloc[1], 0.01) == 0.5 - assert pytest.approx(result.iloc[2], 0.01) == 0.5 - assert pytest.approx(result.iloc[3], 0.01) == 4.0 - assert pytest.approx(result.iloc[4], 0.01) == 1.0 - assert pytest.approx(result.iloc[5], 0.01) == -0.5 - - -def test_r2_ma2_tom_bishop_example(): - """ - Test with values inspired by Tom Bishop's Figure 30 example. - - Validates that R2 = (Y_j - Y_{j-1}) / 2 for each consecutive pair, - removing trend (PT effect) and leaving unexplained variation. - """ - weights = [238.0, 239.0, 240.0, 239.5, 240.5, 241.0, 240.0, 241.5, 241.0, 242.0] - df = pd.DataFrame( +def test_r2_ma2_mixed_cells_one_stream(): + """ADS 3: Z uses unweighted cell-mean averages; every observation joins one stream.""" + spec = FormulationSpec(response_var='weight', rsg_vars=('lane',), rsg_var_name='rsg', time_var='time') + raw = pd.DataFrame( { - 'weight': weights, - 'Ybar_kt': weights, # n=1 per cell, so Ybar_kt = Y - 'cell_key': [('Lane4', i) for i in range(1, 11)], - 'rsg_key': ['Lane4'] * 10, - 'sort_key': [(('Lane4',), i, 0) for i in range(1, 11)], + 'lane': ['A', 'A', 'A', 'B', 'B', 'B', 'B'], + 'time': [1, 1, 2, 1, 2, 2, 3], + 'weight': [10.0, 11.0, 13.0, 15.0, 14.0, 16.0, 19.0], } ) + result = calculate_vas_residuals(_prepare_for_vas(raw, spec), spec, r2_method='ma2').sort_values('sort_key') + + # Independent computation from the cell means (equal weight per occupied cell) + cells = raw.groupby(['lane', 'time'])['weight'].mean() + ybar = cells.mean() + ybar_k = cells.groupby(level=0).mean() + ybar_t = cells.groupby(level=1).mean() + ordered = raw.sort_values(['lane', 'time'], kind='stable') + z = ordered['weight'] - ordered['lane'].map(ybar_k) - ordered['time'].map(ybar_t) + ybar + c = r2_scale_factor(2, len(raw)) + expected = (z.diff() / (2 * c)).to_numpy() - result = calculate_r2(df, 'weight', r2_method='ma2') - - assert pd.isna(result.iloc[0]) # j=1: no predecessor → NaN - for i in range(1, len(result)): - y_current = df['weight'].iloc[i] - y_previous = df['weight'].iloc[i - 1] - expected_r2 = (y_current - y_previous) / 2.0 - assert pytest.approx(result.iloc[i], 0.01) == expected_r2 - - # R2 values should be smaller than original variation (trend removed) - assert result.iloc[1:].abs().max() < df['weight'].std() - - -def test_r2_ma2_handles_single_group(): - """MA2 R2 calculation should handle minimal data (2 points) correctly.""" - df = pd.DataFrame( - { - 'weight': [10.0, 11.0], - 'Ybar_kt': [10.0, 11.0], - 'cell_key': [('A', 1), ('A', 2)], - 'rsg_key': ['A', 'A'], - 'sort_key': [(('A',), 1, 0), (('A',), 2, 0)], - } - ) - - result = calculate_r2(df, 'weight', r2_method='ma2') - - assert len(result) == 2 - assert pd.isna(result.iloc[0]) # j=1: no predecessor → NaN - assert pytest.approx(result.iloc[1], 0.01) == 0.5 # (11-10)/2 + assert pd.isna(result['R2'].iloc[0]) + assert result['R2'].to_numpy()[1:] == pytest.approx(expected[1:], rel=1e-12) # ============================================================================ diff --git a/tests/test_sds.py b/tests/test_sds.py index 06ace13..7463fe0 100644 --- a/tests/test_sds.py +++ b/tests/test_sds.py @@ -269,27 +269,17 @@ def test_rcr_centered_residuals(self): ds = ads.analysis_dataset TOL = 1e-10 - # RCR formulas from analysis_dataset.py: - # RCR1 = Ybar + R1 - # RCR2 = Ybar_kt + R2 - # RCR3 = (Ybar_k + Ybar_t - Ybar) + R3 - # RCR4 = (Ybar + Ybar_kt - Ybar_t) + R4 - # RCR5 = (Ybar + Ybar_kt - Ybar_k) + R5 - + # Re-centred residuals, Bishop's 10-1 manual Eq 14-26: RCR = R + Ybar (R1, R3, R4, R5); + # RCR2 is not part of Eq 14-26 and stays Ybar_kt + R2. expected_rcr1 = ds['Ybar'] + ds['R1'] assert (ds['RCR1'] - expected_rcr1).abs().max() <= TOL, 'RCR1 formula incorrect' expected_rcr2 = ds['Ybar_kt'] + ds['R2'] assert (ds['RCR2'] - expected_rcr2).abs().max() <= TOL, 'RCR2 formula incorrect' - expected_rcr3 = (ds['Ybar_k'] + ds['Ybar_t'] - ds['Ybar']) + ds['R3'] - assert (ds['RCR3'] - expected_rcr3).abs().max() <= TOL, 'RCR3 formula incorrect' - - expected_rcr4 = (ds['Ybar'] + ds['Ybar_kt'] - ds['Ybar_t']) + ds['R4'] - assert (ds['RCR4'] - expected_rcr4).abs().max() <= TOL, 'RCR4 formula incorrect' - - expected_rcr5 = (ds['Ybar'] + ds['Ybar_kt'] - ds['Ybar_k']) + ds['R5'] - assert (ds['RCR5'] - expected_rcr5).abs().max() <= TOL, 'RCR5 formula incorrect' + for k in (3, 4, 5): + expected = ds['Ybar'] + ds[f'R{k}'] + assert (ds[f'RCR{k}'] - expected).abs().max() <= TOL, f'RCR{k} must equal R{k} + Ybar (Eq 14-26)' # End-to-end reconstruction identity # The fixture is SDS 1 with n_min=2, guaranteeing the exact R2 method diff --git a/tests/test_sds_detector.py b/tests/test_sds_detector.py index 02bdfc3..71af099 100644 --- a/tests/test_sds_detector.py +++ b/tests/test_sds_detector.py @@ -1315,7 +1315,7 @@ class TestR2MethodSelection: """``get_r2_method`` has two answers, and structure alone decides between them. The docs once described a third, per-cell "hybrid" for mixed cell sizes. It was removed in - cb037f8: with any singleton cell, R2 is Bishop's ungrouped MA2 (Eq 13.7-13.9) for every + cb037f8: with any singleton cell, R2 is Bishop's ungrouped MA2 (10-1 manual Eqs 14-9..14-13) for every observation, which the ADS 3 reference assertions validate. These pin the vocabulary to that. """ diff --git a/tests/test_spc_constants.py b/tests/test_spc_constants.py index 79e888c..a449be2 100644 --- a/tests/test_spc_constants.py +++ b/tests/test_spc_constants.py @@ -131,7 +131,7 @@ def test_b3_b4_raises_on_invalid_n(func): class TestMovingRangeConstants: - """The XmR and mR constants follow Bishop's VAS manual (Eq 12.4, 12.5, 12.10, 12.11) + """The XmR and mR constants follow Bishop's VAS manual (10-1 manual Eqs 12-4, 12-5, 12-10, 12-11) and are computed from d2 = 1.128 and d3 = 0.8525 without rounding, as VAS does.""" def test_building_blocks_are_the_manuals(self): diff --git a/tests/test_unequal_subgroups.py b/tests/test_unequal_subgroups.py new file mode 100644 index 0000000..c7babda --- /dev/null +++ b/tests/test_unequal_subgroups.py @@ -0,0 +1,100 @@ +"""Xbar/S charts with subgroups of unequal size follow the 10-1 manual (Eqs 11-5, 11-7..11-9, 11-16, 11-17). + +sigma_hat is the average of each subgroup's own unbiased S_r / c4(N_r); each subgroup's Xbar limits are +centre ± 3 sigma_hat / sqrt(N_r), and its S limits are B3(N_r) S-bar and B4(N_r) S-bar. N_r counts the +values the chart is drawn from, so a residual missing on one row (R2's first value) leaves that subgroup +one smaller. Tom's VAS run of the Medicare data (10/3/2026, slides 52-53) draws exactly this: ACO-001 +has 3 R6 values, the other 23 organisations 4, and its limits are wider by sqrt(4/3) (Xbar) and use +B4(3) (S). +""" +from __future__ import annotations + +import numpy as np +import pandas as pd +import pytest + +import processbehavior as pb +from processbehavior.spc_constants import b4, c4, subgroup_sigma_hat + + +def test_subgroup_sigma_hat_is_average_of_unbiased_estimates(): + s, n = np.array([1.0, 2.0, 1.5]), np.array([3, 4, 5]) + assert subgroup_sigma_hat(s, n) == pytest.approx(np.mean(s / np.array([c4(3), c4(4), c4(5)]))) + # equal sizes: S-bar / c4(N) (Eq 11-6) + assert subgroup_sigma_hat(s, np.array([4, 4, 4])) == pytest.approx(s.mean() / c4(4)) + + +@pytest.fixture(scope='module') +def medicare(): + return pb.formulate( + pd.read_csv('validation/aco_per_capita_expenditure.csv'), + response='PER CAPITA EXPENDITURE', factors=['ACO'], time='YEAR', precision=12, + ) + + +def test_subgroup_size_counts_the_charted_values(medicare): + table = medicare.execute(chart='S', by=['ACO'], value='R6').chart_table('S') + sizes = medicare.dataset.groupby('ACO')['R2'].count() + assert sizes['ACO-001'] == 3 and (sizes.drop('ACO-001') == 4).all() + # ACO-001's S limit uses B4(3), the others B4(4) (Eqs 11-8, 11-9) + s_bar = table['center'].iloc[0] + assert table['upl'].iloc[0] == pytest.approx(b4(3) * s_bar, rel=1e-9) + assert table['upl'].iloc[1] == pytest.approx(b4(4) * s_bar, rel=1e-9) + + +def test_xbar_limits_step_with_subgroup_size(medicare): + result = medicare.execute(chart='Xbar', by=['ACO'], value='R6', recentered=True) + table = result.chart_table('Xbar') + half = (table['upl'] - table['lpl']) / 2 + assert half.iloc[0] / half.iloc[1] == pytest.approx(np.sqrt(4 / 3), rel=1e-9) + # VAS slide 52 prints the size-4 limits: half-width (11321.4 - 10340.9) / 2 = 490.25 + assert half.iloc[-1] == pytest.approx(490.25, abs=0.06) + stats = result.get_statistics('Xbar') + assert stats['limits_vary'] is True and stats['lpl'] is None + + +def test_equal_sizes_unchanged(medicare): + """The response itself has no missing values, so every organisation has 4: the limits are constant, + S-bar / c4(N) as before.""" + result = medicare.execute(chart='Xbar', by=['ACO'], recentered=False) + stats = result.get_statistics('Xbar') + assert stats.get('limits_vary') is not True and stats['lpl'] is not None + + +@pytest.fixture(scope='module') +def with_one_reading_cells(): + """Two conditions x four periods, three readings per cell except two cells with one (ADS 3).""" + rng = np.random.default_rng(7) + rows = [] + for f in ('A', 'B'): + for t in range(1, 5): + n = 1 if (f, t) in {('A', 2), ('B', 4)} else 3 + rows += [{'F': f, 'T': t, 'Y': 10 + rng.normal()} for _ in range(n)] + return pb.formulate(pd.DataFrame(rows), response='Y', factors=['F'], time='T', precision=12) + + +def test_one_reading_subgroups_are_charted_at_three_sigma(with_one_reading_cells): + """A one-reading subgroup has no S_r, so it takes no part in sigma_hat (Eq 11-5), but it is charted with + limits centre ± 3 sigma_hat (Eqs 11-16/17 with N_r = 1), as VAS draws it (PM SDS 3 and 6, 10/3/2026).""" + study = with_one_reading_cells + result = study.execute(chart='Xbar', by=[], companion=True) + xbar, s = result.chart_table('Xbar'), result.chart_table('S') + cells = study.dataset.groupby(['F', 'T'])['Y'].agg(['std', 'count']) + replicated = cells[cells['count'] >= 2] + sigma = np.mean(replicated['std'] / c4(3)) + assert len(xbar) == 8 and len(s) == 6 + one = xbar[xbar['n'] == 1] + assert len(one) == 2 + assert (one['upl'] - one['center']).to_numpy() == pytest.approx([3 * sigma] * 2, rel=1e-9) + three = xbar[xbar['n'] == 3] + assert (three['upl'] - three['center']).to_numpy() == pytest.approx([3 * sigma / np.sqrt(3)] * 6, rel=1e-9) + assert result.get_statistics('Xbar')['limits_vary'] is True + # The S chart has only the subgroups with an S, all of size 3: constant B3/B4(3) limits + s_stats = result.get_statistics('S') + assert s_stats['upl'] == pytest.approx(b4(3) * replicated['std'].mean(), rel=1e-9) + + +def test_one_reading_subgroups_are_charted_per_stratum(with_one_reading_cells): + result = with_one_reading_cells.execute(chart='Xbar', by=['T'], companion=True) + a = result.focus('A') + assert len(a.chart_table('Xbar')) == 4 and len(a.chart_table('S')) == 3 diff --git a/tests/test_vas_chart_constants.py b/tests/test_vas_chart_constants.py index 087bf9b..55070ce 100644 --- a/tests/test_vas_chart_constants.py +++ b/tests/test_vas_chart_constants.py @@ -1,9 +1,10 @@ """Individuals and moving-range chart limits match Bishop's VAS software. The expected values are read from Bishop's VAS output decks of 29 September 2026 (Medicare and -PM SDS 2), at the precision the charts print. They pin the XmR constants E2 = 3/1.128 and -D4 = 1 + 3(0.8525)/1.128 from the manual (Eq 12.4, 12.5, 12.10, 12.11): with the rounded 2.66 and -3.268 the Medicare limits miss by 0.6 and 1.0, and the PM SDS 2 moving-range limit prints 2.84. +PM SDS 2) and, for the R2 chart, 3 October 2026, at the precision the charts print. They pin the +XmR constants E2 = 3/1.128 and D4 = 1 + 3(0.8525)/1.128 (10-1 manual Eqs 12-4, 12-5, 12-10, +12-11): with the rounded 2.66 and 3.268 the Medicare limits miss by 0.6 and 1.0, and the PM SDS 2 +moving-range limit prints 2.84. """ from pathlib import Path @@ -84,3 +85,40 @@ def test_moving_range_limits(self, pm_sds_2): s = pm_sds_2.execute(chart='mR', by=[]).get_statistics('mR') assert round(s['center'], 2) == 0.87 assert round(s['upl'], 2) == 2.83 + + +class TestMedicareR2Chart: + """VAS run of 10/3/2026 (10-1 manual R2), MEDICARE PCE slide 60: R2 chart -1.15 (-1045.19 / 1042.88). + + R2 here is the condition-and-period-adjusted series differenced along the ACO-then-year + stream and divided by twice the R2 scale factor c(24, 96); the raw-difference R2 of + earlier releases gave limits about three times wider. + """ + + def test_maximum_information_limits(self, medicare): + mi = medicare.maximum_information() + assert mi.r2_mean == pytest.approx(-1.15, abs=0.005) + assert mi.lpl == pytest.approx(-1045.19, abs=0.005) + assert mi.upl == pytest.approx(1042.88, abs=0.005) + + def test_individuals_chart_on_r2(self, medicare): + s = medicare.execute(chart='X', by=[], value='R2').get_statistics('X') + assert s['center'] == pytest.approx(-1.15, abs=0.005) + assert s['lpl'] == pytest.approx(-1045.19, abs=0.005) + assert s['upl'] == pytest.approx(1042.88, abs=0.005) + + +class TestMedicarePotentialCapability: + """VAS run of 10/3/2026, MEDICARE PCE slide 59 (LSL 6000, USL 16000): PPL 5.36, PP 5.55, PPU 5.74. + + The potential indices are measured from the centre of the potential values, y_bar + mean(R2) + ("PROCESS MEAN = 10831.3" on the slide; y_bar is 10832.4 and mean R2 is -1.15). Only PPU + discriminates at two decimals: 5.7355 from that centre, 5.734 from y_bar. + """ + + def test_potential_indices(self, medicare): + cap = medicare.capability(lsl=6000, usl=16000) + assert cap.potential_center == pytest.approx(10831.27, abs=0.01) + assert round(cap.cpk_lower, 2) == 5.36 + assert round(cap.cp, 2) == 5.55 + assert round(cap.cpk_upper, 2) == 5.74 diff --git a/tests/test_xbar_residual_center.py b/tests/test_xbar_residual_center.py index 5f42fc6..c454114 100644 --- a/tests/test_xbar_residual_center.py +++ b/tests/test_xbar_residual_center.py @@ -25,12 +25,11 @@ not VALIDATION_CSV.exists(), reason='Bishop validation CSV not present', ) -def test_sds3_r3_pt_xbar_center_matches_bishop(): - """SDS 3 R3 Xbar by [PRODUCTION TIME] recentered must match Bishop's 237.83. +def test_sds3_pt_xbar_center_matches_bishop(): + """SDS 3 period-effects chart (R4 Xbar by [PRODUCTION TIME], recentered) must match Bishop's 237.83. - Row 22 of validation/e2e_bishop_report.html — the only e2e divergence - before the fix. Bishop reports CL = 237.83; the pre-fix code produced - 237.81 (observation-weighted on unbalanced cells). + Page 22 of the e2e report (Tom's 10/3/2026 deck, slide 22). The observation-weighted + mean would give 237.81 on these unbalanced cells. """ df = pd.read_csv(VALIDATION_CSV) pb_obj = ProcessBehavior(df) @@ -42,7 +41,7 @@ def test_sds3_r3_pt_xbar_center_matches_bishop(): result = study.execute( chart='Xbar', by=[pb_obj.cols.PRODUCTION_TIME], - value='R3', + value='R4', recentered=True, ) center = result.get_statistics('Xbar')['center'] diff --git a/validation/PBTESTKNOWNEFFECTS_T100.csv b/validation/PBTESTKNOWNEFFECTS_T100.csv new file mode 100644 index 0000000..dbad775 --- /dev/null +++ b/validation/PBTESTKNOWNEFFECTS_T100.csv @@ -0,0 +1,4001 @@ +"PRODUCTION TIME","FACTOR 1","FACTOR 2","FACTOR 1xFACTOR 2","PM SDS 1 KNOWN","PM SDS 2 KNOWN","PM SDS 3 KNOWN","PM SDS 4 KNOWN","PM SDS 5 KNOWN","PM SDS 6 KNOWN" +1,1,1,11,300.73940633416424,300.73940633416424,300.73940633416424,*,*,* +1,1,1,11,303.16365302393694,*,303.16365302393694,*,*,* +1,1,1,11,299.85410807697644,*,299.85410807697644,*,*,* +1,1,1,11,301.0890034961055,*,301.0890034961055,*,*,* +1,1,1,11,296.0078942489478,*,296.0078942489478,*,*,296.0078942489478 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a/validation/README.txt +++ b/validation/README.txt @@ -7,12 +7,24 @@ What lives here and why FACTOR 1 x FACTOR 2 x 100 time periods; response columns PM SDS 1-6 and PM INERT, each structured to exercise one observed design state). Ground truth for the CI validation gate (e2e_bishop_report.py) and the - Bishop Reference Validation tutorial. + Bishop Reference Validation tutorial. PM INERT is pure noise (sd 1); the + gate also runs it with each PM SDS k missing-data pattern (k = 2..6), as + Tom's VAS runs of PM INERT SDS 2-6 do. +- PBTESTKNOWNEFFECTS_T100.csv - Tom Bishop's known-effects database (same + layout and six missing-data patterns, columns PM SDS 1-6 KNOWN). Built as + 300 + condition effect (11:-1, 12:1, 21:-1, 22:1, 31:-3, 32:-1, 41:-1, + 42:1) + a linear time trend from -2 to 2 + a +/-2 condition x time + interaction (blocks of 25 periods, phase 2 the mirror image of phase 1) + + normal noise with sd 3. Specs LSL 295 / target 300 / USL 305. Shared by + Tom Bishop (October 2026) for validation. - PBTESTDATABASE_T20.csv - the 20-period variant, consumed by e2e_T20_report.py. -- e2e_bishop_report.py - runs the full 280-assertion check of computed - results against Bishop's Minitab numbers; executed in CI and regenerates - docs/reference/validation.md (drift-guarded there). Writes +- e2e_bishop_report.py - checks computed results against Tom Bishop's VAS + (Minitab) runs, value by value, for every run in RUNS: PM SDS 1-6, PM INERT + SDS 1-6, the known-effects SDS 1 run and the Medicare ACO run. Each run's reference values, specs + and target are in tests/fixtures/bishop_analyses/.json, read from the + VAS decks (the decks themselves are not in the repo). Executed in CI; + regenerates docs/reference/validation.md (drift-guarded there). Writes e2e_bishop_report.html locally (untracked). - e2e_T20_report.py - the same idea against the T20 database. - effects_visualization.ipynb - effects-chart exploration against the @@ -27,7 +39,8 @@ What lives here and why - aco_per_capita_expenditure.csv - the synthetic 24-organisation x 4-year dataset (96 rows, ADS 2) built with Tom Bishop for GitHub issue #114, from the reporter's description of Medicare shared-savings series. Input for - mr_permutation_invariance.py. + mr_permutation_invariance.py and the Medicare run of the e2e gate (Tom's + VAS run of 10/3/2026; specs LSL 6000 / target 11000 / USL 16000). - short_series_sampling.py, short_series_bands.py - contributed by the #114 reporter (PR #119). Self-contained: regenerate the limit-width-vs-T table and the sampling distribution of MRbar/d2 for n = 3..30 under a stable diff --git a/validation/e2e_bishop_report.py b/validation/e2e_bishop_report.py index 754126c..afde76e 100644 --- a/validation/e2e_bishop_report.py +++ b/validation/e2e_bishop_report.py @@ -1,15 +1,22 @@ """ E2E Validation Report: processbehavior vs Tom Bishop's VAS Analyses -Generates an HTML report comparing our library output against Tom Bishop's -Minitab reference analyses for SDS 1-3. Uses PBTESTDATABASE_T100.csv as input. +Compares the library's output with Tom Bishop's VAS (Minitab) analyses, value by value, for every +run in RUNS: PM SDS 1-6 and PM INERT SDS 1-6 (PBTESTDATABASE_T100.csv), the known-effects data +(PBTESTKNOWNEFFECTS_T100.csv) and the Medicare ACO data (aco_per_capita_expenditure.csv). +Each run's reference values, spec limits and target live in +tests/fixtures/bishop_analyses/.json; a reference that is not yet available is "pending" and +never fails the gate. Writes an HTML report and docs/reference/validation.md; exits 1 on any +disagreement. Usage: python validation/e2e_bishop_report.py """ import json -import sys import math +import string +import sys +from dataclasses import dataclass from pathlib import Path import pandas as pd @@ -18,50 +25,45 @@ # --- Configuration --- -VALIDATION_CSV = Path(__file__).parent / 'PBTESTDATABASE_T100.csv' +DATA = { + 'T100': Path(__file__).parent / 'PBTESTDATABASE_T100.csv', + 'KNOWN': Path(__file__).parent / 'PBTESTKNOWNEFFECTS_T100.csv', + 'ACO': Path(__file__).parent / 'aco_per_capita_expenditure.csv', +} FIXTURES_DIR = Path(__file__).parent.parent / 'tests' / 'fixtures' / 'bishop_analyses' OUTPUT_HTML = Path(__file__).parent / 'e2e_bishop_report.html' TOLERANCE = 0.01 # half-unit of last decimal place -SPEC_LSL = 232 -SPEC_USL = 242 -SPEC_TARGET = 237 +# Sampling design state -> analytic design state: incomplete grids (SDS 4-6) are analysed as the +# complete design that survives tidying. +ADS_OF_SDS = {1: 1, 2: 2, 3: 3, 4: 1, 5: 2, 6: 3} -SDS_CONFIGS = { - 1: {'response_attr': 'PM_SDS_1', 'json': 'vassds1analysis.json', 'chart': 'Xbar'}, - 2: {'response_attr': 'PM_SDS_2', 'json': 'vassds2analysis.json', 'chart': 'X'}, - 3: {'response_attr': 'PM_SDS_3', 'json': 'vassds3analysis.json', 'chart': 'X'}, -} -# Tom's process-capability reference indices (LSL=232, USL=242, Target=237). -# Tom reports to 2 decimals; tolerance is half-unit of last decimal place. +@dataclass(frozen=True) +class Run: + """One VAS analysis to reproduce: a response column of a data source, at its ADS.""" + + id: str # also the reference file: tests/fixtures/bishop_analyses/.json + label: str + data: str # key of DATA + response: str + ads: int + factors: tuple[str, ...] = ('FACTOR 1', 'FACTOR 2') + time: str = 'PRODUCTION TIME' + + +RUNS = [ + *[Run(f'pm_sds_{k}', f'PM SDS {k}', 'T100', f'PM SDS {k}', ADS_OF_SDS[k]) for k in range(1, 7)], + Run('pm_inert_sds_1', 'PM INERT', 'T100', 'PM INERT', 1), + # PM INERT SDS k: the PM INERT column with PM SDS k's missing pattern (see load_frames) + *[Run(f'pm_inert_sds_{k}', f'PM INERT SDS {k}', 'T100', f'PM INERT SDS {k}', ADS_OF_SDS[k]) for k in range(2, 7)], + Run('known_effects_sds_1', 'PM SDS 1 KNOWN', 'KNOWN', 'PM SDS 1 KNOWN', 1), + # Medicare per-capita expenditure: 24 organisations x 4 years, one reading each (issue #114) + Run('aco_medicare', 'Medicare ACO (PCE)', 'ACO', 'PER CAPITA EXPENDITURE', 2, factors=('ACO',), time='YEAR'), +] + +# Tom reports capability to 2 decimals and loss shares to 1; tolerance is half a unit of the last place. CAPABILITY_TOLERANCE = 0.01 -EXPECTED_CAPABILITY = { - 1: { - # Current (overall sigma) - 'pp': 0.96, 'ppk_upper': 0.80, 'ppk_lower': 1.11, - 'pct_below_lsl': 0.53, 'pct_above_usl': 0.45, - # Potential (R2 sigma) - 'cp': 2.08, 'cpk_upper': 1.74, 'cpk_lower': 2.42, - 'potential_pct_below_lsl': 0.0, 'potential_pct_above_usl': 0.0, - }, - 2: { - # Current - 'pp': 1.1, 'ppk_upper': 0.93, 'ppk_lower': 1.27, - 'pct_below_lsl': 0.5, 'pct_above_usl': 0.0, - # Potential (R2 sigma) - 'cp': 2.51, 'cpk_upper': 2.12, 'cpk_lower': 2.91, - 'potential_pct_below_lsl': 0.0, 'potential_pct_above_usl': 0.0, - }, - 3: { - # Current - 'pp': 0.96, 'ppk_upper': 0.8, 'ppk_lower': 1.12, - 'pct_below_lsl': 0.53, 'pct_above_usl': 0.46, - # Potential (R2 sigma) - 'cp': 2.34, 'cpk_upper': 1.95, 'cpk_lower': 2.72, - 'potential_pct_below_lsl': 0.0, 'potential_pct_above_usl': 0.0, - }, -} # (Tom's label) -> (CapabilityResult.as_dict key). Order shown is the order # they appear in the report table; "Current" block then "Potential" block. CAPABILITY_METRICS = [ @@ -77,46 +79,8 @@ ('Potential % above USL', 'potential_pct_above_usl'), ] -# Tom's Taguchi loss-function decomposition (percentages). 1 decimal place; -# tolerance is half-unit of last decimal place. +# Loss shares are compared in percent, to 1 decimal. LOSS_TOLERANCE = 0.05 -EXPECTED_LOSS = { - 1: { - 'pct_centering': 16.8, # Tom: "mean" - 'pct_unexplained': 23.0, - 'pct_pdc': 14.2, - 'pct_time': 2.7, # Tom: "pt" - 'pct_interaction': 43.3, # Tom: "pdcxpt" - }, - 2: { - # 5-component decomposition - 'pct_centering': 16.1, - 'pct_unexplained': 23.6, - 'pct_pdc': 15.6, - 'pct_time': 2.2, - 'pct_interaction': 42.5, - # Factor-level decomposition of pct_pdc (synthetic fields; computed - # from LossResult.pdc_by_factor / total in _build_loss_results) - 'pct_pdc_f1': 10.6, - 'pct_pdc_f2': 4.1, - 'pct_pdc_factor_interaction': 0.9, # Tom: "PDF Int" - }, - 3: { - # 5-component decomposition - 'pct_centering': 16.4, - 'pct_unexplained': 25.0, - 'pct_pdc': 13.7, - 'pct_time': 2.5, - 'pct_interaction': 42.4, - # Factor-level decomposition of pct_pdc - 'pct_pdc_f1': 8.3, - 'pct_pdc_f2': 3.8, - # Tom's initial note said 0.6 but it didn't reconcile with his own - # pdc=13.7 (8.3+3.8+0.6=12.7); 1.6 makes the row internally - # consistent and matches our 1.59. Confirmed by Tom as 1.6. - 'pct_pdc_factor_interaction': 1.6, - }, -} # (Tom's label) -> (LossResult.as_dict key, or synthetic key). Synthetic # keys (pct_pdc_f1, pct_pdc_f2, pct_pdc_factor_interaction) are computed # inside _build_loss_results since LossResult only exposes the absolute @@ -133,10 +97,11 @@ ] -def context_to_stratum(context_subtitle: str, sds: int) -> str: - """Convert JSON context_subtitle 'PDC RSG - 1-1' to our stratum key.""" - # Extract '1-1' from 'PDC RSG - 1-1' - level = context_subtitle.split(' - ')[1] # '1-1' +def context_to_stratum(context_subtitle: str, n_factors: int = 2) -> str: + """Convert a slide's context 'PDC RSG - 1-1' (two factors) or 'PDC RSG - ACO-001' (one) to our stratum key.""" + level = context_subtitle.split(' - ', 1)[1] # '1-1' or 'ACO-001' + if n_factors == 1: + return level f1, f2 = level.split('-') return f'{f1}_{f2}' # Strata normalized to strings per #73 @@ -150,6 +115,37 @@ def close(actual, expected, tol=TOLERANCE): return abs(actual - expected) <= tol +DRAWN_CODES = string.digits + string.ascii_letters +DRAWN_UNITS = 1.5 # drawing units a drawn limit may sit from PB's: one for the drawing, half for the axis ticks + + +def compare_drawn(drawn, table, tol=TOLERANCE): + """Check PB's limits, subgroup by subgroup, against the limits VAS draws where it prints "UNEQUAL". + + ``drawn`` is an item's ``drawn_limits``: the red limit lines of the VAS chart, read per subgroup and scaled by + the y-axis ticks, so each value is good to about one drawing unit (``unit``). Each subgroup's limit is a + character indexing ``levels``. Returns the row fields to override: expected (VAS's last subgroup, the one + Minitab would label), match and note. + """ + lbl = [drawn['levels'][DRAWN_CODES.index(c)] for c in drawn['LBL']] + ubl = [drawn['levels'][DRAWN_CODES.index(c)] for c in drawn['UBL']] + tol = max(tol, DRAWN_UNITS * drawn['unit']) + pending = drawn.get('pending') + out = {'expected_lbl': lbl[-1], 'expected_ubl': ubl[-1]} + if table is None or len(table) != len(lbl): + charted = 0 if table is None else len(table) + match = None if pending else False + return {**out, 'match_lpl': match, 'match_upl': match, + 'note': f'Drawn limits: VAS charts {len(lbl)} subgroups, PB {charted}.'} + d_lo = max(abs(float(a) - e) for a, e in zip(table['lpl'], lbl, strict=True)) + d_hi = max(abs(float(a) - e) for a, e in zip(table['upl'], ubl, strict=True)) + note = (f'Limits read from the VAS drawing for all {len(lbl)} subgroups: largest difference LBL {d_lo:.4f}, ' + f'UBL {d_hi:.4f} (tolerance {tol:.4f}).') + if pending: + return {**out, 'match_lpl': None, 'match_upl': None, 'note': f'{note} Pending: {pending}'} + return {**out, 'match_lpl': d_lo <= tol, 'match_upl': d_hi <= tol, 'note': note} + + def classify_page(item): """Classify a JSON page item into a test category.""" title = item.get('analysis_title', '') @@ -198,9 +194,8 @@ def _coerce_float(v): return float(v) -def _build_capability_results(sds_num, cap_dict): - """Validate process-capability indices against EXPECTED_CAPABILITY.""" - expected = EXPECTED_CAPABILITY.get(sds_num, {}) +def _build_capability_results(expected, cap_dict): + """Validate process-capability indices against the run's reference values.""" rows = [] for label, field in CAPABILITY_METRICS: actual = _coerce_float(cap_dict.get(field)) @@ -230,17 +225,16 @@ def _augment_loss_with_factor_percentages(loss_dict): # positionally so this stays robust if factor names ever change. factor_keys = list(pdc_by_factor.keys()) if len(factor_keys) >= 1: - derived['pct_pdc_f1'] = round(100 * pdc_by_factor[factor_keys[0]] / total, 3) + derived['pct_pdc_f1'] = 100 * pdc_by_factor[factor_keys[0]] / total if len(factor_keys) >= 2: - derived['pct_pdc_f2'] = round(100 * pdc_by_factor[factor_keys[1]] / total, 3) + derived['pct_pdc_f2'] = 100 * pdc_by_factor[factor_keys[1]] / total if pdc_fi is not None: - derived['pct_pdc_factor_interaction'] = round(100 * pdc_fi / total, 3) + derived['pct_pdc_factor_interaction'] = 100 * pdc_fi / total return derived -def _build_loss_results(sds_num, loss_dict): - """Validate loss-function decomposition (percentages) against EXPECTED_LOSS.""" - expected = EXPECTED_LOSS.get(sds_num, {}) +def _build_loss_results(expected, loss_dict): + """Validate loss-function decomposition (percentages) against the run's reference values.""" derived = _augment_loss_with_factor_percentages(loss_dict) rows = [] for label, field in LOSS_METRICS: @@ -254,8 +248,8 @@ def _build_loss_results(sds_num, loss_dict): return rows -def run_sds_validation(sds_num, pb, study, json_data): # noqa: C901 - """Run all validations for one SDS type. +def run_validation(run, pb, study, ref): # noqa: C901 + """Run all validations for one run (a response column at its ADS) against its reference file. Returns ------- @@ -264,68 +258,68 @@ def run_sds_validation(sds_num, pb, study, json_data): # noqa: C901 list contains per-row dicts ready for HTML rendering. """ results = [] - items = json_data['items'] + items = ref['items'] + specs = ref['specs'] + tol = ref.get('chart_tolerance', TOLERANCE) + factors, time = list(run.factors), run.time + f_str, t_str = '[' + ', '.join(factors) + ']', f'[{time}]' # Pre-compute results we'll need computed = {} + # Xbar/S wherever some subgroups are replicated: ADS 1, and ADS 3, where the 10-1 manual makes + # Xbar/S VAS's default (Tom's 10/3/2026 run draws PM SDS 3 that way). ADS 2 uses X/mR. + xbar_s = run.ads in (1, 3) + # Overall charts - if sds_num == 1: + if xbar_s: computed['overall'] = study.execute(chart='Xbar', by=[], companion=True) - computed['stratified'] = study.execute(chart='Xbar', by=[pb.cols.PRODUCTION_TIME], companion=True) + computed['stratified'] = study.execute(chart='Xbar', by=[time], companion=True) else: computed['overall'] = study.execute(chart='X', by=[], companion=True) - computed['stratified'] = study.execute(chart='X', by=[pb.cols.FACTOR_1, pb.cols.FACTOR_2], companion=True) + computed['stratified'] = study.execute(chart='X', by=factors, companion=True) # Effects charts — all SDS types # PDC effects (pages 20-21) computed['pdc_effects_xbar'] = study.execute( - chart='Xbar', by=[pb.cols.FACTOR_1, pb.cols.FACTOR_2], + chart='Xbar', by=factors, value='R6', recentered=True ) computed['pdc_effects_s'] = study.execute( - chart='S', by=[pb.cols.FACTOR_1, pb.cols.FACTOR_2], value='R6' + chart='S', by=factors, value='R6' ) - # PT effects (pages 22-23) — Xbar/S by time for all SDS - # When charted by=[time], each time subgroup has multiple factor levels, - # giving n>1 subgroups even in SDS 2, so Xbar/S is correct. + # PT effects (pages 22-23) — Xbar/S of R4 by time for all SDS (R4 carries the period effect, + # 10-1 manual Eq 14-16). When charted by=[time], each time subgroup has multiple factor + # levels, giving n>1 subgroups even in SDS 2, so Xbar/S is correct. computed['pt_effects_xbar'] = study.execute( - chart='Xbar', by=[pb.cols.PRODUCTION_TIME], value='R3', recentered=True + chart='Xbar', by=[time], value='R4', recentered=True ) computed['pt_effects_s'] = study.execute( - chart='S', by=[pb.cols.PRODUCTION_TIME], value='R3', recentered=True + chart='S', by=[time], value='R4', recentered=True ) # Interaction (pages 28-29) - if sds_num == 1: + if xbar_s: computed['interaction_xbar'] = study.execute( - chart='Xbar', by=[pb.cols.FACTOR_1, pb.cols.FACTOR_2, pb.cols.PRODUCTION_TIME], + chart='Xbar', by=[*factors, time], value='R3', recentered=True ) computed['interaction_s'] = study.execute( - chart='S', by=[pb.cols.FACTOR_1, pb.cols.FACTOR_2, pb.cols.PRODUCTION_TIME], + chart='S', by=[*factors, time], value='R3', recentered=True ) else: computed['r3_xmr'] = study.execute( chart='X', by=[], value='R3', recentered=True, companion=True ) - # Individual factor effects (pages 24-27) - computed['f1_effects_xbar'] = study.execute( - chart='Xbar', by=[pb.cols.FACTOR_1], value='R6', recentered=True - ) - computed['f1_effects_s'] = study.execute( - chart='S', by=[pb.cols.FACTOR_1], value='R6' - ) - computed['f2_effects_xbar'] = study.execute( - chart='Xbar', by=[pb.cols.FACTOR_2], value='R6', recentered=True - ) - computed['f2_effects_s'] = study.execute( - chart='S', by=[pb.cols.FACTOR_2], value='R6' - ) + # Individual factor effects (pages 24-27), when the conditions are built from two factors + if len(factors) >= 2: + for tag, factor in (('f1', factors[0]), ('f2', factors[1])): + computed[f'{tag}_effects_xbar'] = study.execute(chart='Xbar', by=[factor], value='R6', recentered=True) + computed[f'{tag}_effects_s'] = study.execute(chart='S', by=[factor], value='R6') computed['max_info_xmr'] = study.execute(chart='X', by=[], value='R2') - computed['loss'] = study.loss_function(target=SPEC_TARGET) - computed['capability'] = study.capability(lsl=SPEC_LSL, usl=SPEC_USL, target=SPEC_TARGET) + computed['loss'] = study.loss_function(target=specs['target']) + computed['capability'] = study.capability(lsl=specs['lsl'], usl=specs['usl'], target=specs['target']) for item in items: page = item['page_number'] @@ -336,10 +330,11 @@ def run_sds_validation(sds_num, pb, study, json_data): # noqa: C901 expected_cl = item.get('CL') expected_lbl = item.get('LBL') expected_ubl = item.get('UBL') + drawn_limits = item.get('drawn_limits') is_location = is_location_chart(item) base = { - 'sds': sds_num, + 'run': run.id, 'page': page, 'chart_title': chart_title, 'chart_subtitle': chart_subtitle, @@ -349,8 +344,11 @@ def run_sds_validation(sds_num, pb, study, json_data): # noqa: C901 def append_result( chart_type, by_str, value, recentered, actual_cl, actual_lpl, actual_upl, table, - _base=base, _ecl=expected_cl, _elbl=expected_lbl, _eubl=expected_ubl, **extra + _base=base, _ecl=expected_cl, _elbl=expected_lbl, _eubl=expected_ubl, + _drawn=drawn_limits, **extra ): + if _drawn is not None and _elbl is None and _eubl is None: + extra = {**extra, **compare_drawn(_drawn, table, tol)} results.append({ **_base, 'chart_type': chart_type, @@ -363,9 +361,9 @@ def append_result( 'actual_cl': actual_cl, 'actual_lpl': actual_lpl, 'actual_upl': actual_upl, - 'match_cl': close(actual_cl, _ecl) if _ecl is not None else None, - 'match_lpl': close(actual_lpl, _elbl) if _elbl is not None else None, - 'match_upl': close(actual_upl, _eubl) if _eubl is not None else None, + 'match_cl': close(actual_cl, _ecl, tol) if _ecl is not None else None, + 'match_lpl': close(actual_lpl, _elbl, tol) if _elbl is not None else None, + 'match_upl': close(actual_upl, _eubl, tol) if _eubl is not None else None, 'chart_table': table, **extra, }) @@ -375,13 +373,19 @@ def stats_from(result_obj, chart_type): center = stats['center'] lpl_val = stats.get('lpl') upl_val = stats.get('upl') + if stats.get('limits_vary') and lpl_val is None and upl_val is None: + # Limits step with subgroup size (10-1 manual Eqs 11-16/17). VAS/Minitab labels the + # limits of the last subgroup, so that is the value its slide carries. + table = safe_chart_table(result_obj, chart_type) + if table is not None and len(table): + lpl_val, upl_val = table['lpl'].iloc[-1], table['upl'].iloc[-1] cl = float(center) if center is not None else None lpl = float(lpl_val) if lpl_val is not None else None upl = float(upl_val) if upl_val is not None else None return cl, lpl, upl def primary_chart_type(_loc=is_location): - if sds_num == 1: + if xbar_s: return 'Xbar' if _loc else 'S' return 'X' if _loc else 'mR' @@ -392,11 +396,11 @@ def primary_chart_type(_loc=is_location): append_result(chart_type, '[]', 'response', False, cl, lpl, upl, safe_chart_table(overall, chart_type)) elif category == 'stratified': - stratum = context_to_stratum(context, sds_num) + stratum = context_to_stratum(context, len(run.factors)) focused = computed['stratified'].focus(stratum) chart_type = primary_chart_type() cl, lpl, upl = stats_from(focused, chart_type) - by_str = '[PRODUCTION_TIME]' if sds_num == 1 else '[FACTOR_1, FACTOR_2]' + by_str = t_str if xbar_s else f_str append_result(chart_type, by_str, 'response', False, cl, lpl, upl, safe_chart_table(focused, chart_type), stratum=str(stratum)) @@ -405,25 +409,25 @@ def primary_chart_type(_loc=is_location): chart_type = 'Xbar' if is_location else 'S' cl, lpl, upl = stats_from(result_obj, chart_type) recentered = is_location - append_result(chart_type, '[FACTOR_1, FACTOR_2]', 'R6', recentered, cl, lpl, upl, + append_result(chart_type, f_str, 'R6', recentered, cl, lpl, upl, safe_chart_table(result_obj, chart_type)) elif category == 'pt_effects': result_obj = computed['pt_effects_xbar'] if is_location else computed['pt_effects_s'] chart_type = 'Xbar' if is_location else 'S' cl, lpl, upl = stats_from(result_obj, chart_type) - append_result(chart_type, '[PRODUCTION_TIME]', 'R3', True, cl, lpl, upl, + append_result(chart_type, t_str, 'R4', True, cl, lpl, upl, safe_chart_table(result_obj, chart_type)) elif category == 'factor_effects': if context and 'F1' in context: xbar_r = computed['f1_effects_xbar'] s_r = computed['f1_effects_s'] - by_str = '[FACTOR_1]' + by_str = f'[{factors[0]}]' elif context and 'F2' in context: xbar_r = computed['f2_effects_xbar'] s_r = computed['f2_effects_s'] - by_str = '[FACTOR_2]' + by_str = f'[{factors[1]}]' else: append_result('?', '?', 'R6', True, None, None, None, None) continue @@ -436,11 +440,11 @@ def primary_chart_type(_loc=is_location): safe_chart_table(result_obj, chart_type)) elif category == 'interaction': - if sds_num == 1: + if xbar_s: result_obj = computed['interaction_xbar'] if is_location else computed['interaction_s'] chart_type = 'Xbar' if is_location else 'S' cl, lpl, upl = stats_from(result_obj, chart_type) - append_result(chart_type, '[FACTOR_1, FACTOR_2, PRODUCTION_TIME]', 'R3', True, + append_result(chart_type, '[' + ', '.join([*factors, time]) + ']', 'R3', True, cl, lpl, upl, safe_chart_table(result_obj, chart_type)) else: r3 = computed['r3_xmr'] @@ -466,8 +470,12 @@ def primary_chart_type(_loc=is_location): # No other category produces a meaningful chart-row; drop it. continue - capability_results = _build_capability_results(sds_num, computed['capability'].as_dict()) - loss_results = _build_loss_results(sds_num, computed['loss'].as_dict()) + # Compare at full precision: Tom's figures are displayed to 1-2 decimals and the tolerance + # absorbs that; rounding our side first would double-count the rounding. + capability_results = _build_capability_results( + ref.get('capability', {}), computed['capability'].as_dict(round_to=12) + ) + loss_results = _build_loss_results(ref.get('loss', {}), computed['loss'].as_dict(round_to=12)) return { 'charts': results, @@ -551,18 +559,18 @@ def _render_metric_table(title: str, rows, value_decimals: int, tolerance: float return html -def generate_html(all_results, aux_by_sds=None): # noqa: C901 +def generate_html(all_results, aux_by_run, runs): # noqa: C901 """Generate the full HTML report. Parameters ---------- all_results : list[dict] - Per-chart-row result dicts (existing schema). - aux_by_sds : dict[int, dict] | None - Optional auxiliary results keyed by SDS number, with - ``{'capability': [...], 'loss': [...]}`` per SDS. + Per-chart-row result dicts, each tagged with its run id. + aux_by_run : dict[str, dict] + Per run id: ``{'capability': [...], 'loss': [...], 'specs': {...}, 'loss_note': str | None}``. + runs : list[Run] + The runs, in report order. """ - aux_by_sds = aux_by_sds or {} html = """ @@ -595,7 +603,7 @@ def generate_html(all_results, aux_by_sds=None): # noqa: C901

E2E Bishop Validation Report

-

Comparison of processbehavior library output against Tom Bishop's VAS Minitab analyses (SDS 1-3).

+

Comparison of processbehavior library output against Tom Bishop's VAS Minitab analyses, run by run.

Tolerance: ±0.01 (half-unit of last decimal place in reference data)

""" # Global summary @@ -617,7 +625,7 @@ def generate_html(all_results, aux_by_sds=None): # noqa: C901 total_skip += 1 # Also fold in capability + loss matches from auxiliary results - for aux in aux_by_sds.values(): + for aux in aux_by_run.values(): for row in aux.get('capability', []) + aux.get('loss', []): if row['match'] is True: total_checks += 1 @@ -638,22 +646,22 @@ def generate_html(all_results, aux_by_sds=None): # noqa: C901 """ - # Group by SDS - for sds_num in [1, 2, 3]: - sds_results = [r for r in all_results if r['sds'] == sds_num] - if not sds_results: + # One section per run + for run in runs: + run_results = [r for r in all_results if r['run'] == run.id] + if not run_results: continue - sds_pass = sum(1 for r in sds_results for k in ('match_cl', 'match_lpl', 'match_upl') if r.get(k) is True) - sds_fail = sum(1 for r in sds_results for k in ('match_cl', 'match_lpl', 'match_upl') if r.get(k) is False) - sds_skip = sum(1 for r in sds_results for k in ('match_cl', 'match_lpl', 'match_upl') if r.get(k) is None) + run_pass = sum(1 for r in run_results for k in ('match_cl', 'match_lpl', 'match_upl') if r.get(k) is True) + run_fail = sum(1 for r in run_results for k in ('match_cl', 'match_lpl', 'match_upl') if r.get(k) is False) + run_skip = sum(1 for r in run_results for k in ('match_cl', 'match_lpl', 'match_upl') if r.get(k) is None) html += f""" -

SDS {sds_num} — Analytic Design State {sds_num}

+

{run.label} — Analytic Design State {run.ads}

-{sds_pass} passed / -{sds_fail} failed / -{sds_skip} skipped +{run_pass} passed / +{run_fail} failed / +{run_skip} skipped
@@ -671,7 +679,7 @@ def generate_html(all_results, aux_by_sds=None): # noqa: C901 """ - for r in sds_results: + for r in run_results: # Determine overall row status matches = [r.get(k) for k in ('match_cl', 'match_lpl', 'match_upl')] if any(m is False for m in matches): @@ -741,12 +749,13 @@ def generate_html(all_results, aux_by_sds=None): # noqa: C901 html += '
Details
' # Capability + loss-function sections under each SDS - aux = aux_by_sds.get(sds_num, {}) + aux = aux_by_run.get(run.id, {}) + specs = aux.get('specs', {}) cap_rows = aux.get('capability', []) loss_rows = aux.get('loss', []) if cap_rows: html += _render_metric_table( - f'Process Capability (LSL={SPEC_LSL}, USL={SPEC_USL}, Target={SPEC_TARGET})', + f"Process Capability (LSL={specs.get('lsl')}, USL={specs.get('usl')}, Target={specs.get('target')})", cap_rows, value_decimals=2, tolerance=CAPABILITY_TOLERANCE, ) if loss_rows: @@ -754,6 +763,8 @@ def generate_html(all_results, aux_by_sds=None): # noqa: C901 'Taguchi Loss Function (% of total)', loss_rows, value_decimals=1, tolerance=LOSS_TOLERANCE, ) + if aux.get('loss_note'): + html += f'

Pending: {aux["loss_note"]}

' from datetime import datetime html += f'

Generated: {datetime.now().strftime("%Y-%m-%d %H:%M:%S")}

' @@ -768,23 +779,23 @@ def generate_html(all_results, aux_by_sds=None): # noqa: C901 MYST_OUTPUT = Path(__file__).parent.parent / 'docs' / 'reference' / 'validation.md' -def _tally(all_results, aux_by_sds): - """(passed, failed, skipped) per ADS, over charts + capability + loss.""" - per_sds: dict[int, list[int]] = {} +def _tally(all_results, aux_by_run): + """(passed, failed, pending) per run id, over charts + capability + loss.""" + per_run: dict[str, list[int]] = {} for row in all_results: - counts = per_sds.setdefault(row['sds'], [0, 0, 0]) + counts = per_run.setdefault(row['run'], [0, 0, 0]) for key in ('match_cl', 'match_lpl', 'match_upl'): match = row.get(key) counts[0 if match is True else 1 if match is False else 2] += 1 - for sds_num, aux in (aux_by_sds or {}).items(): - counts = per_sds.setdefault(sds_num, [0, 0, 0]) + for run_id, aux in aux_by_run.items(): + counts = per_run.setdefault(run_id, [0, 0, 0]) for row in aux['capability'] + aux['loss']: match = row['match'] counts[0 if match is True else 1 if match is False else 2] += 1 - return per_sds + return per_run -def generate_myst_summary(all_results, aux_by_sds=None): +def generate_myst_summary(all_results, aux_by_run, runs): """A short, committable summary of the validation run. Deliberately not the full HTML report: this is the page a reader lands on, @@ -794,64 +805,68 @@ def generate_myst_summary(all_results, aux_by_sds=None): """ import processbehavior - per_sds = _tally(all_results, aux_by_sds) - total_pass = sum(v[0] for v in per_sds.values()) - total_fail = sum(v[1] for v in per_sds.values()) - total_skip = sum(v[2] for v in per_sds.values()) - - names = { - 1: 'ADS 1 — full replication', - 2: 'ADS 2 — no replication', - 3: 'ADS 3 — partial replication', - } - sources = {1: '`PM SDS 1`', 2: '`PM SDS 2`', 3: '`PM SDS 3`'} + per_run = _tally(all_results, aux_by_run) + total_pass = sum(v[0] for v in per_run.values()) + total_fail = sum(v[1] for v in per_run.values()) + total_skip = sum(v[2] for v in per_run.values()) + data_files = {'T100': '`PBTESTDATABASE_T100.csv`', 'KNOWN': '`PBTESTKNOWNEFFECTS_T100.csv`', + 'ACO': '`aco_per_capita_expenditure.csv`'} lines = [ '# Validation against Bishop\'s reference results', '', 'Every analytical output this library produces is checked, number by number,', - "against Dr. Thomas A. Bishop's published Minitab results for the same data.", + "against Dr. Thomas A. Bishop's VAS results (Minitab) for the same data.", 'Not "inspired by" and not spot-checked — the chart centers, control limits,', - 'signal classifications, capability indices and loss-function components are', - 'compared to the reference and the run fails if any of them disagree.', + 'capability indices and loss-function components are compared to the reference', + 'and the run fails if any of them disagree.', '', f'**{total_pass} assertions pass**' + (f', {total_fail} fail' if total_fail else ', 0 fail') - + (f', {total_skip} have no reference value.' if total_skip else '.'), + + (f', {total_skip} have no reference value yet.' if total_skip else '.'), '', f'Generated by `validation/e2e_bishop_report.py` from processbehavior ' - f'{processbehavior.__version__}, against `validation/PBTESTDATABASE_T100.csv`.', + f'{processbehavior.__version__}.', '', '## Coverage', '', - '| Analytical Design State | Source column | Assertions | Result |', - '|---|---|---|---|', + '| Run | Data | Analytic design state | Assertions | No reference yet | Result |', + '|---|---|---|---|---|---|', ] - for sds_num in sorted(per_sds): - passed, failed, skipped = per_sds[sds_num] + for run in runs: + passed, failed, skipped = per_run.get(run.id, [0, 0, 0]) verdict = '✅ all pass' if failed == 0 else f'❌ {failed} failing' lines.append( - f'| {names.get(sds_num, f"ADS {sds_num}")} | {sources.get(sds_num, "—")} ' - f'| {passed + failed} | {verdict} |' + f'| `{run.label}` | {data_files[run.data]} | ADS {run.ads} ' + f'| {passed + failed} | {skipped} | {verdict} |' ) lines += [ + '', + 'PM SDS 1-6 are one fill-weight dataset with deletions; SDS 4-6 are incomplete grids, analysed', + 'as the complete design that survives tidying (ADS 1-3). PM INERT is pure noise with the same', + 'six missing-data patterns. The known-effects data are built from known condition, time and', + 'interaction effects plus noise. The Medicare data are per-capita expenditure for 24', + 'organisations over 4 years, one reading each (issue #114).', '', '## What is covered', '', '- **Charts** — center line and both natural process limits, for the primary', - ' chart and for each valid chart x residual pair at that design state.', + ' chart and for each valid chart x residual pair at that design state. Where subgroup', + ' sizes differ, VAS prints "UNEQUAL" instead of a limit; there the limits of every', + ' subgroup are read from the limit lines VAS draws, to within 1.5 drawing units', + ' (about 0.01-0.1, by chart), and each line counts as one assertion.', '- **Capability** — Pp, Ppk (upper and lower), Cp, Cpk, and the percentage of', ' the distribution beyond each specification limit.', '- **Loss function** — the Taguchi loss decomposition and its components.', '', - '## What is not yet covered', + '## Values with no reference yet', '', - 'ODS 4-6 (incomplete grids) are detected and routed correctly, and their', - 'collapse to ADS 1-3 is pinned by tests — an incomplete design is analysed as', - 'the complete design that survives tidying, so the numbers above are the ones', - 'that apply. What is still outstanding is an end-to-end comparison against', - "Bishop's Minitab output for the incomplete-grid datasets themselves.", + '- The limits of the R6 S charts (pages 21, 25 and 27) whose subgroups have 343 or more', + ' values. The VAS runs of 3 October 2026 held αN (10-1 manual Eq 10-12) at 0.9995 from N = 343 up,', + " where Minitab's GAMMA function overflows, so their limits follow N = 500 instead of the", + " subgroup's own N. Dr. Bishop is replacing it with a table of αN; these wait for his", + ' rerun. Below N = 343 the same charts are checked, and match.', '', '## Reproducing this', '', @@ -861,51 +876,61 @@ def generate_myst_summary(all_results, aux_by_sds=None): '', 'That writes this page and a detailed HTML report', '(`validation/e2e_bishop_report.html`) with every compared value, expected', - 'beside actual, grouped by design state.', + 'beside actual, grouped by run.', '', ] return '\n'.join(lines) +def load_frames(): + """Read every data source. PM INERT SDS k (k = 2..6) is the PM INERT column with PM SDS k's + missing pattern, which is how the PM INERT SDS 2-6 columns of Dr. Bishop's VAS runs are built.""" + frames = {name: pd.read_csv(path) for name, path in DATA.items()} + t100 = frames['T100'] + inert = pd.to_numeric(t100['PM INERT'], errors='coerce') + for k in range(2, 7): + present = pd.to_numeric(t100[f'PM SDS {k}'], errors='coerce').notna() + t100[f'PM INERT SDS {k}'] = inert.where(present) + return frames + + def main(): print('Loading validation data...') - df = pd.read_csv(VALIDATION_CSV) - pb = ProcessBehavior(df) + frames = load_frames() + pbs = {name: ProcessBehavior(df) for name, df in frames.items()} all_results = [] - aux_by_sds = {} # {sds_num: {'capability': [...], 'loss': [...]}} + aux_by_run = {} # {run id: {'capability': [...], 'loss': [...], 'specs': {...}, 'loss_note': ...}} total_fails = 0 - for sds_num, config in SDS_CONFIGS.items(): - print(f'\nProcessing SDS {sds_num}...') - response = getattr(pb.cols, config['response_attr']) - study = pb.formulate( - response=response, - factors=[pb.cols.FACTOR_1, pb.cols.FACTOR_2], - time=pb.cols.PRODUCTION_TIME - ) - print(f' Analytical SDS: {study.analytical_design_state}') - - json_path = FIXTURES_DIR / config['json'] - with open(json_path) as f: - json_data = json.load(f) - - sds_payload = run_sds_validation(sds_num, pb, study, json_data) - chart_results = sds_payload['charts'] + for run in RUNS: + print(f'\nProcessing {run.label}...') + pb = pbs[run.data] + study = pb.formulate(response=run.response, factors=list(run.factors), time=run.time) + ads = study.analytical_design_state + print(f' Analytical SDS: {ads}') + if ads.sds != run.ads: + print(f' ADS MISMATCH: expected {run.ads}') + total_fails += 1 + + ref = json.loads((FIXTURES_DIR / f'{run.id}.json').read_text()) + payload = run_validation(run, pb, study, ref) + chart_results = payload['charts'] all_results.extend(chart_results) - aux_by_sds[sds_num] = { - 'capability': sds_payload['capability'], - 'loss': sds_payload['loss'], + aux_by_run[run.id] = { + 'capability': payload['capability'], + 'loss': payload['loss'], + 'specs': ref['specs'], + 'loss_note': ref.get('loss_note'), } - # Print summary across charts + capability/loss passes = sum( 1 for r in chart_results for k in ('match_cl', 'match_lpl', 'match_upl') if r.get(k) is True ) fails = sum( 1 for r in chart_results for k in ('match_cl', 'match_lpl', 'match_upl') if r.get(k) is False ) - for row in sds_payload['capability'] + sds_payload['loss']: + for row in payload['capability'] + payload['loss']: if row['match'] is True: passes += 1 elif row['match'] is False: @@ -914,18 +939,17 @@ def main(): total_fails += fails print('\nGenerating HTML report...') - html = generate_html(all_results, aux_by_sds) - OUTPUT_HTML.write_text(html) + OUTPUT_HTML.write_text(generate_html(all_results, aux_by_run, RUNS)) print(f'Report written to: {OUTPUT_HTML}') MYST_OUTPUT.parent.mkdir(parents=True, exist_ok=True) - MYST_OUTPUT.write_text(generate_myst_summary(all_results, aux_by_sds)) + MYST_OUTPUT.write_text(generate_myst_summary(all_results, aux_by_run, RUNS)) print(f'Docs summary written to: {MYST_OUTPUT}') # The reports above are evidence; this exit code is the gate. Reference # disagreement must fail the build itself, not just drift the docs page — # otherwise committing the drifted page makes CI green with wrong numbers. - # 'pending' rows (match is None, the ODS 4-6 backlog) are never fatal. + # 'pending' rows (match is None: no reference value yet) are never fatal. if total_fails: print(f'\nVALIDATION FAILED: {total_fails} assertion(s) diverge from Bishop reference values.') sys.exit(1)