From cd07561c5bf5d7910fb6515808df1709d76c1233 Mon Sep 17 00:00:00 2001 From: ***** <721466+soodoku@users.noreply.github.com> Date: Sun, 1 Nov 2026 18:18:00 -0800 Subject: [PATCH 1/5] ENH: Add conservative 95 percent tF intervals for single-instrument IV2SLS --- doc/source/iv/index.rst | 1 + doc/source/iv/weak-instruments.rst | 48 +++++ linearmodels/iv/_tf.py | 119 ++++++++++++ linearmodels/iv/results.py | 103 +++++++++++ linearmodels/tests/iv/test_jive.py | 6 +- linearmodels/tests/iv/test_results.py | 6 +- linearmodels/tests/iv/test_tf.py | 255 ++++++++++++++++++++++++++ 7 files changed, 536 insertions(+), 2 deletions(-) create mode 100644 doc/source/iv/weak-instruments.rst create mode 100644 linearmodels/iv/_tf.py create mode 100644 linearmodels/tests/iv/test_tf.py diff --git a/doc/source/iv/index.rst b/doc/source/iv/index.rst index 6ef173cdac..4799d67331 100644 --- a/doc/source/iv/index.rst +++ b/doc/source/iv/index.rst @@ -26,6 +26,7 @@ tests. examples/advanced-examples.ipynb examples/using-formulas.ipynb examples/absorbing-regression.ipynb + weak-instruments reference mathematical-formula diff --git a/doc/source/iv/weak-instruments.rst b/doc/source/iv/weak-instruments.rst new file mode 100644 index 0000000000..35fdbafd40 --- /dev/null +++ b/doc/source/iv/weak-instruments.rst @@ -0,0 +1,48 @@ +Confidence intervals with a weak instrument +========================================== + +:meth:`~linearmodels.iv.results.IVResults.tf_conf_int` constructs a conservative +95% tF interval for one endogenous regressor and one excluded instrument. It is +an explicit alternative to the conventional :meth:`~linearmodels.iv.results.IVResults.conf_int`. +It supports IV2SLS with unadjusted or heteroskedasticity-robust covariance, +``debiased=False``, and constant observation weights. Other configurations raise +``ValueError``. Included exogenous controls are allowed. + +For example, use proximity to a four-year college as an instrument for education: + +.. doctest:: + + >>> from linearmodels.datasets import card + >>> from linearmodels.iv import IV2SLS + >>> data = card.load() + >>> columns = ["lwage", "educ", "exper", "expersq", "black", "south", "smsa", "nearc4"] + >>> data = data[columns].dropna() + >>> formula = "lwage ~ 1 + exper + expersq + black + south + smsa + [educ ~ nearc4]" + >>> result = IV2SLS.from_formula(formula, data).fit(cov_type="robust") + >>> interval = result.tf_conf_int() + >>> list(interval.index), list(interval.columns) + (['educ'], ['lower', 'upper']) + >>> conventional = result.conf_int().loc["educ"] + >>> bool(interval.loc["educ", "lower"] <= conventional["lower"]) + True + >>> bool(interval.loc["educ", "upper"] >= conventional["upper"]) + True + +The first-stage statistic is the squared t statistic for the excluded instrument, +using the fitted model's covariance convention. The coefficient and SE are reused. +Neither the original SE nor the conventional p-values and intervals are changed. + +The implementation interpolates in F using the upward-rounded values in Table 3a +of the `February 16, 2022 author version +`_ of Lee, McCrary, Moreira and +Porter's `Valid t-Ratio Inference for IV `_. +Section 3.2 justifies this conservative interpolation by convexity. It uses an +unbounded interval below F=4, including the small range where the smooth tF +interval is bounded, and a critical value of 1.96 at and above F=104.67. + +This adjustment is calibrated only for 95% confidence. It is not a p-value +calculation or a guarantee of finite-sample coverage. Instrument validity and the +model's other identifying and sampling assumptions still matter. The newer VtF +procedure uses additional information and can yield shorter intervals; this +method implements tF, not VtF. The existing ``anderson_rubin`` property is a test +of overidentification, not a weak-instrument confidence set for this coefficient. diff --git a/linearmodels/iv/_tf.py b/linearmodels/iv/_tf.py new file mode 100644 index 0000000000..ce6989f9b0 --- /dev/null +++ b/linearmodels/iv/_tf.py @@ -0,0 +1,119 @@ +"""Conservative tabulated tF critical values for single-instrument IV.""" + +from numpy import array, inf, interp, isfinite + +# Table 3a, Lee, McCrary, Moreira and Porter, February 16, 2022 author version: +# https://eml.berkeley.edu/~jmccrary/LMMP_2_15_22.pdf (page 16). +# Both columns are rounded upward in the paper. Section 3.2 justifies linear +# interpolation in F by convexity of the critical-value function. +_TF_TABLE = array( + [ + (4.000, 18.656), + (4.008, 18.236), + (4.015, 17.826), + (4.023, 17.425), + (4.031, 17.033), + (4.040, 16.649), + (4.049, 16.275), + (4.059, 15.909), + (4.068, 15.551), + (4.079, 15.201), + (4.090, 14.859), + (4.101, 14.524), + (4.113, 14.197), + (4.125, 13.878), + (4.138, 13.566), + (4.151, 13.260), + (4.166, 12.962), + (4.180, 12.670), + (4.196, 12.385), + (4.212, 12.107), + (4.229, 11.834), + (4.247, 11.568), + (4.265, 11.308), + (4.285, 11.053), + (4.305, 10.804), + (4.326, 10.561), + (4.349, 10.324), + (4.372, 10.091), + (4.396, 9.864), + (4.422, 9.642), + (4.449, 9.425), + (4.477, 9.213), + (4.507, 9.006), + (4.538, 8.803), + (4.570, 8.605), + (4.604, 8.412), + (4.640, 8.222), + (4.678, 8.037), + (4.717, 7.856), + (4.759, 7.680), + (4.803, 7.507), + (4.849, 7.338), + (4.897, 7.173), + (4.948, 7.011), + (5.002, 6.854), + (5.059, 6.699), + (5.119, 6.549), + (5.182, 6.401), + (5.248, 6.257), + (5.319, 6.117), + (5.393, 5.979), + (5.472, 5.844), + (5.556, 5.713), + (5.644, 5.584), + (5.738, 5.459), + (5.838, 5.336), + (5.944, 5.216), + (6.056, 5.098), + (6.176, 4.984), + (6.304, 4.872), + (6.440, 4.762), + (6.585, 4.655), + (6.741, 4.550), + (6.907, 4.448), + (7.085, 4.348), + (7.276, 4.250), + (7.482, 4.154), + (7.702, 4.061), + (7.940, 3.969), + (8.196, 3.880), + (8.473, 3.793), + (8.773, 3.707), + (9.098, 3.624), + (9.451, 3.542), + (9.835, 3.463), + (10.253, 3.385), + (10.711, 3.309), + (11.214, 3.234), + (11.766, 3.161), + (12.374, 3.090), + (13.048, 3.021), + (13.796, 2.953), + (14.631, 2.886), + (15.566, 2.821), + (16.618, 2.758), + (17.810, 2.696), + (19.167, 2.635), + (20.721, 2.576), + (22.516, 2.518), + (24.605, 2.461), + (27.058, 2.406), + (29.967, 2.352), + (33.457, 2.299), + (37.699, 2.247), + (42.930, 2.197), + (49.495, 2.147), + (57.902, 2.099), + (68.930, 2.052), + (83.823, 2.006), + (104.67, 1.960), + ] +) + + +def _tf_critical_value(f_stat: float) -> float: + """Return the conservative 95% tF critical value from Table 3a.""" + if not isfinite(f_stat) or f_stat < 0: + raise ValueError("The first-stage F statistic must be finite and nonnegative.") + return float(interp(f_stat, _TF_TABLE[:, 0], _TF_TABLE[:, 1], left=inf)) diff --git a/linearmodels/iv/results.py b/linearmodels/iv/results.py index 05ef6b9ded..67c8d621a1 100644 --- a/linearmodels/iv/results.py +++ b/linearmodels/iv/results.py @@ -17,6 +17,7 @@ c_, diag, empty, + isfinite, isnan, log, ndarray, @@ -31,8 +32,13 @@ from statsmodels.iolib.table import default_txt_fmt import linearmodels +from linearmodels.iv._tf import _tf_critical_value from linearmodels.iv._utility import annihilate, proj from linearmodels.iv.common import _kleibergen_paap, cragg_donald, cragg_donald_f +from linearmodels.iv.covariance import ( + HeteroskedasticCovariance, + HomoskedasticCovariance, +) from linearmodels.iv.data import IVData, IVDataLike from linearmodels.shared.base import _ModelComparison, _SummaryStr from linearmodels.shared.hypotheses import ( @@ -1312,6 +1318,103 @@ def __init__( super().__init__(results, model) self._kappa = results.get("kappa", 1) + def tf_conf_int(self) -> DataFrame: + """ + Construct a conservative 95% tF confidence interval. + + Returns + ------- + DataFrame + Lower and upper bounds for the endogenous regressor's coefficient. + The columns are ``lower`` and ``upper``. When the first-stage + statistic is below 4, the bounds are negative and positive infinity. + + Raises + ------ + ValueError + If the result is not from unweighted IV2SLS with one endogenous + regressor, one excluded instrument, unadjusted or robust covariance, + and ``debiased=False``, or the required estimates are not finite + with strictly positive variances. + + See Also + -------- + conf_int + Construct conventional confidence intervals for all coefficients. + first_stage + Access first-stage regressions and diagnostics. + + Notes + ----- + The tF procedure of Lee et al. [1]_ adjusts the critical value using + the squared first-stage t statistic. It provides asymptotic inference + robust to weak identification under the single-instrument IV model's + assumptions. It does not address invalid instruments or guarantee + finite-sample coverage. + + This implementation linearly interpolates the upward-rounded critical + values in Table 3a of the February 16, 2022 author version. Section 3.2 + establishes that interpolation in F is conservative. Below the first + tabulated F of 4, the interval is the entire real line; above 104.67, + the critical value is 1.96. The extra conservatism below 4 includes + some cases where the underlying smooth tF procedure is bounded. + + Only 95% confidence is supported. The adjustment does not define + p-values or other confidence levels. The coefficient estimate, reported + standard error and conventional inference are not changed. + + References + ---------- + .. [1] Lee, D. S., J. McCrary, M. J. Moreira, and J. Porter (2022). + "Valid t-Ratio Inference for IV." American Economic Review, + 112(10), 3260-3290. https://doi.org/10.1257/aer.20211063. + Author version: https://eml.berkeley.edu/~jmccrary/LMMP_2_15_22.pdf. + """ + from linearmodels.iv.model import IV2SLS + + if ( + not isinstance(self.model, IV2SLS) + or self.model.endog.shape[1] != 1 + or self.model.instruments.shape[1] != 1 + ): + raise ValueError( + "tF inference requires IV2SLS with one endogenous regressor " + "and one excluded instrument." + ) + if self.debiased or type(self._cov_estimator) not in ( + HomoskedasticCovariance, + HeteroskedasticCovariance, + ): + raise ValueError( + "tF inference requires unadjusted or robust covariance " + "with debiased=False." + ) + if (self.model.weights.ndarray != 1).any(): + raise ValueError("tF inference does not support nonconstant weights.") + + name = self.model.endog.cols[0] + first_stage = self.first_stage.individual[name] + estimate = float(self.params.loc[name]) + variance = float(self.cov.loc[name, name]) + first_estimate = float(first_stage.params.iloc[-1]) + first_variance = float(first_stage.cov.to_numpy()[-1, -1]) + if ( + not isfinite([estimate, variance, first_estimate, first_variance]).all() + or variance <= 0 + or first_variance <= 0 + ): + raise ValueError( + "tF inference requires finite estimates and positive variances." + ) + first_t = float(first_stage.tstats.iloc[-1]) + critical = _tf_critical_value(first_t * first_t) + half_width = critical * float(self.std_errors.loc[name]) + return DataFrame( + [[estimate - half_width, estimate + half_width]], + index=self.params.loc[[name]].index, + columns=["lower", "upper"], + ) + @cached_property def sargan(self) -> InvalidTestStatistic | WaldTestStatistic: r""" diff --git a/linearmodels/tests/iv/test_jive.py b/linearmodels/tests/iv/test_jive.py index 5e99a87a70..4497db9010 100644 --- a/linearmodels/tests/iv/test_jive.py +++ b/linearmodels/tests/iv/test_jive.py @@ -829,7 +829,11 @@ def test_results(): # JIVE is not a k-class estimator assert res.kappa is None for attr in dir(res): - if attr.startswith("_") or attr in ("test_linear_constraint", "wald_test"): + if attr.startswith("_") or attr in ( + "test_linear_constraint", + "wald_test", + "tf_conf_int", + ): continue value = getattr(res, attr) if callable(value): diff --git a/linearmodels/tests/iv/test_results.py b/linearmodels/tests/iv/test_results.py index 69dd6cce06..927976c597 100644 --- a/linearmodels/tests/iv/test_results.py +++ b/linearmodels/tests/iv/test_results.py @@ -22,7 +22,11 @@ def model(request): def result_checker(res): for attr in dir(res): - if attr.startswith("_") or attr in ("test_linear_constraint", "wald_test"): + if attr.startswith("_") or attr in ( + "test_linear_constraint", + "wald_test", + "tf_conf_int", + ): continue print(attr) if attr == "summary": diff --git a/linearmodels/tests/iv/test_tf.py b/linearmodels/tests/iv/test_tf.py new file mode 100644 index 0000000000..5ef591a078 --- /dev/null +++ b/linearmodels/tests/iv/test_tf.py @@ -0,0 +1,255 @@ +import numpy as np +from numpy.testing import assert_allclose, assert_array_equal +from pandas import DataFrame +from pandas.testing import assert_frame_equal, assert_series_equal +import pytest + +from linearmodels.iv import IV2SLS, IVJIVE, IVLIML +from linearmodels.iv._tf import _tf_critical_value +from linearmodels.iv.results import FirstStageResults +from linearmodels.shared.exceptions import MissingValueWarning + + +@pytest.fixture +def data(): + rng = np.random.default_rng(98765) + n = 200 + raw = np.column_stack([np.ones(n), rng.standard_normal((n, 4))]) + q, _ = np.linalg.qr(raw) + w, z, v, e = q[:, :2], q[:, 2], q[:, 3], q[:, 4] + z, v, e = (a * np.sqrt(n) for a in (z, v, e)) + x = np.sqrt(10 / n) * z + v + u = 0.4 * np.sqrt(10) * (0.8 * v + 0.6 * e) + y = x + w @ np.array([0.5, 2.0]) + u + return y, w, x, z + + +@pytest.mark.parametrize( + ("f_stat", "expected"), + [ + (4, 18.656), + (4.008, 18.236), + (9.835, 3.463), + (10.253, 3.385), + (24.605, 2.461), + (104.67, 1.96), + (1e12, 1.96), + ], +) +def test_published_values(f_stat, expected): + # Table 3a, February 16, 2022 author version, page 16. + assert _tf_critical_value(f_stat) == expected + + +def test_interpolation_in_f(): + # Section 3.2's worked F=10 example, using the critical-value row rather + # than its separately rounded standard-error-adjustment row. + expected = 3.463 + (10 - 9.835) / (10.253 - 9.835) * (3.385 - 3.463) + assert_allclose(_tf_critical_value(10), expected, rtol=1e-14) + assert _tf_critical_value(10) != 3.463 + + +@pytest.mark.parametrize("f_stat", [0, 1e-15, 1.96**2, np.nextafter(4.0, 0)]) +def test_below_table_is_unbounded(f_stat): + assert _tf_critical_value(f_stat) == np.inf + + +@pytest.mark.parametrize("f_stat", [-1, -np.inf, np.inf, np.nan]) +def test_invalid_f(f_stat): + with pytest.raises(ValueError, match="finite and nonnegative"): + _tf_critical_value(f_stat) + + +def test_monotonicity_and_table_boundaries(): + f = np.concatenate([np.linspace(4, 104.67, 10001), [104.67, 1e6]]) + critical = np.array([_tf_critical_value(x) for x in f]) + assert np.all(np.diff(critical) <= 0) + assert np.all(critical >= 1.96) + for knot, expected in [(4, 18.656), (9.835, 3.463), (104.67, 1.96)]: + assert_allclose(_tf_critical_value(np.nextafter(knot, np.inf)), expected) + if knot > 4: + assert_allclose(_tf_critical_value(np.nextafter(knot, 0)), expected) + + +def test_hand_calculated_interval(data): + y, w, x, z = data + res = IV2SLS(y, w, x, z).fit(cov_type="unadjusted") + # Orthogonal construction: first-stage F=10, beta=1, and IV SE=0.4. + assert_allclose(res.params.iloc[-1], 1, atol=1e-13) + assert_allclose(res.std_errors.iloc[-1], 0.4, rtol=1e-13) + critical = 3.4322105263157896 + assert_allclose(res.tf_conf_int().iloc[0], [1 - 0.4 * critical, 1 + 0.4 * critical]) + assert res.conf_int().iloc[-1, 0] > 0 + assert res.tf_conf_int().iloc[0, 0] < 0 + + +@pytest.mark.parametrize( + "cov_type", + [ + "unadjusted", + "robust", + "homoskedastic", + "heteroskedastic", + "homo", + "hccm", + "HomoskedasticCovariance", + "HeteroskedasticCovariance", + ], +) +@pytest.mark.parametrize("controls", [True, False]) +def test_independent_covariance_calculation(data, cov_type, controls): + y, w, x, z = data + if not controls: + w = np.empty((len(y), 0)) + res = IV2SLS(y, w, x, z).fit(cov_type=cov_type) + design = np.column_stack([w, z]) + inverse = np.linalg.inv(design.T @ design) + first = inverse @ design.T @ x + v = x - design @ first + z_resid = z - w @ np.linalg.lstsq(w, z, rcond=None)[0] + beta = z_resid @ y / (z_resid @ x) + u0 = y - beta * x + u = u0 - w @ np.linalg.lstsq(w, u0, rcond=None)[0] + if cov_type.lower() in ( + "unadjusted", + "homoskedastic", + "homo", + "homoskedasticcovariance", + ): + first_var = (v @ v / len(v)) * inverse[-1, -1] + variance = (u @ u / len(u)) * (z_resid @ z_resid) / (z_resid @ x) ** 2 + else: + scores = design * v[:, None] + first_var = (inverse @ scores.T @ scores @ inverse)[-1, -1] + variance = ((z_resid * u) @ (z_resid * u)) / (z_resid @ x) ** 2 + f_stat = first[-1] ** 2 / first_var + expected = beta + np.array([-1, 1]) * np.sqrt(variance) * _tf_critical_value(f_stat) + assert_allclose(res.tf_conf_int().iloc[0], expected, rtol=1e-12, atol=1e-12) + + +def test_formula_labels_and_retained_sample(data): + y, w, x, z = data + frame = DataFrame({"y": y, "w": w[:, 1], "x": x, "z": z}) + frame.index = np.arange(len(frame)) * 3 + frame = frame.iloc[::2] + res = IV2SLS.from_formula("y ~ 1 + w + [x ~ z]", frame).fit() + array_res = IV2SLS( + frame.y, np.column_stack([np.ones(len(frame)), frame.w]), frame.x, frame.z + ).fit() + assert_frame_equal(res.tf_conf_int(), array_res.tf_conf_int()) + assert list(res.tf_conf_int().index) == ["x"] + assert list(res.tf_conf_int().columns) == ["lower", "upper"] + + +@pytest.mark.parametrize("instrument_scale", [-1000, -1, 1e-6, 1e6]) +def test_instrument_scale_and_sign(data, instrument_scale): + y, w, x, z = data + expected = IV2SLS(y, w, x, z).fit().tf_conf_int() + actual = IV2SLS(y, w, x, z * instrument_scale).fit().tf_conf_int() + assert_allclose(actual, expected, rtol=1e-9, atol=1e-9) + + +@pytest.mark.parametrize( + ("outcome_scale", "endog_scale"), [(2, 1), (-2, 1), (1, -3), (1e-4, 1e4)] +) +def test_coefficient_scale(data, outcome_scale, endog_scale): + y, w, x, z = data + expected = IV2SLS(y, w, x, z).fit().tf_conf_int().to_numpy() + expected = np.sort(expected * outcome_scale / endog_scale, axis=1) + actual = IV2SLS(y * outcome_scale, w, x * endog_scale, z).fit().tf_conf_int() + assert_allclose(actual, expected, rtol=1e-8, atol=1e-12) + + +def test_row_permutation_and_no_mutation(data): + y, w, x, z = data + res = IV2SLS(y, w, x, z).fit() + params, se, pvalues, conventional = ( + res.params.copy(), + res.std_errors.copy(), + res.pvalues.copy(), + res.conf_int().copy(), + ) + expected = res.tf_conf_int() + actual = IV2SLS(y[::-1], w[::-1], x[::-1], z[::-1]).fit().tf_conf_int() + assert_allclose(actual, expected, rtol=1e-12, atol=1e-12) + assert_series_equal(res.params, params) + assert_series_equal(res.std_errors, se) + assert_series_equal(res.pvalues, pvalues) + assert_frame_equal(res.conf_int(), conventional) + + +def test_weak_first_stage(data): + y, w, x, z = data + weak_x = x - (np.sqrt(10 / len(y)) - 0.01) * z + res = IV2SLS(y, w, weak_x, z).fit(cov_type="unadjusted") + assert_array_equal(res.tf_conf_int(), [[-np.inf, np.inf]]) + + +@pytest.mark.parametrize("model", [IVLIML, IVJIVE]) +def test_unsupported_estimator(data, model): + y, w, x, z = data + with pytest.raises(ValueError, match="requires IV2SLS"): + model(y, w, x, z).fit().tf_conf_int() + + +@pytest.mark.parametrize("two_endog", [True, False]) +def test_unsupported_dimensions(data, two_endog): + y, w, x, z = data + instruments = np.column_stack([z, z**2]) + endog = np.column_stack([x, x**2]) if two_endog else x + with pytest.raises(ValueError, match="one endogenous regressor"): + IV2SLS(y, w, endog, instruments).fit().tf_conf_int() + + +@pytest.mark.parametrize( + ("cov_type", "config"), + [ + ("robust", {"debiased": True}), + ("unadjusted", {"debiased": True}), + ("clustered", {"clusters": np.repeat(np.arange(20), 10)}), + ("kernel", {"bandwidth": 2}), + ], +) +def test_unsupported_covariance(data, cov_type, config): + y, w, x, z = data + with pytest.raises(ValueError, match="unadjusted or robust covariance"): + IV2SLS(y, w, x, z).fit(cov_type=cov_type, **config).tf_conf_int() + + +def test_weights(data): + y, w, x, z = data + expected = IV2SLS(y, w, x, z).fit().tf_conf_int() + actual = IV2SLS(y, w, x, z, weights=np.full(len(y), 7)).fit().tf_conf_int() + assert_frame_equal(actual, expected) + with pytest.raises(ValueError, match="nonconstant weights"): + IV2SLS(y, w, x, z, weights=np.linspace(1, 2, len(y))).fit().tf_conf_int() + + +@pytest.mark.parametrize("variance", [0, -1, np.nan, np.inf]) +def test_invalid_structural_variance(data, variance): + y, w, x, z = data + res = IV2SLS(y, w, x, z).fit() + res.cov.iloc[-1, -1] = variance + with pytest.raises(ValueError, match="finite estimates and positive variances"): + res.tf_conf_int() + + +@pytest.mark.parametrize("variance", [0, -1, np.nan, np.inf]) +def test_invalid_first_stage_variance(data, variance, monkeypatch): + y, w, x, z = data + res = IV2SLS(y, w, x, z).fit() + first = res.first_stage.individual + first[res.model.endog.cols[0]].cov.iloc[-1, -1] = variance + monkeypatch.setattr(FirstStageResults, "individual", property(lambda self: first)) + with pytest.raises(ValueError, match="finite estimates and positive variances"): + res.tf_conf_int() + + +def test_missing_observations(data): + y, w, x, z = data + y, x = y.copy(), x.copy() + y[0], x[1] = np.nan, np.nan + with pytest.warns(MissingValueWarning): + res = IV2SLS(y, w, x, z).fit() + complete = IV2SLS(y[2:], w[2:], x[2:], z[2:]).fit() + assert_frame_equal(res.tf_conf_int(), complete.tf_conf_int()) From 34d00df48ffb070d8c0680cf15db9c0e7e2dcf53 Mon Sep 17 00:00:00 2001 From: ***** <721466+soodoku@users.noreply.github.com> Date: Sun, 1 Nov 2026 18:28:51 -0800 Subject: [PATCH 2/5] DOC: Correct weak-instrument guide heading underline --- doc/source/iv/weak-instruments.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/source/iv/weak-instruments.rst b/doc/source/iv/weak-instruments.rst index 35fdbafd40..4794ff4107 100644 --- a/doc/source/iv/weak-instruments.rst +++ b/doc/source/iv/weak-instruments.rst @@ -1,5 +1,5 @@ Confidence intervals with a weak instrument -========================================== +=========================================== :meth:`~linearmodels.iv.results.IVResults.tf_conf_int` constructs a conservative 95% tF interval for one endogenous regressor and one excluded instrument. It is From 39ba5850000db22483a4c1e5d444fc8c3ca447d8 Mon Sep 17 00:00:00 2001 From: ***** <721466+soodoku@users.noreply.github.com> Date: Sun, 1 Nov 2026 19:37:51 -0800 Subject: [PATCH 3/5] BUG: Preserve supported labels in tF confidence intervals --- linearmodels/iv/results.py | 10 +++++----- linearmodels/tests/iv/test_tf.py | 19 ++++++++++++++++++- 2 files changed, 23 insertions(+), 6 deletions(-) diff --git a/linearmodels/iv/results.py b/linearmodels/iv/results.py index 67c8d621a1..8e835e98e2 100644 --- a/linearmodels/iv/results.py +++ b/linearmodels/iv/results.py @@ -1393,9 +1393,9 @@ def tf_conf_int(self) -> DataFrame: raise ValueError("tF inference does not support nonconstant weights.") name = self.model.endog.cols[0] - first_stage = self.first_stage.individual[name] - estimate = float(self.params.loc[name]) - variance = float(self.cov.loc[name, name]) + first_stage = self.first_stage.individual[str(name)] + estimate = float(self.params.iloc[-1]) + variance = float(self.cov.to_numpy()[-1, -1]) first_estimate = float(first_stage.params.iloc[-1]) first_variance = float(first_stage.cov.to_numpy()[-1, -1]) if ( @@ -1408,10 +1408,10 @@ def tf_conf_int(self) -> DataFrame: ) first_t = float(first_stage.tstats.iloc[-1]) critical = _tf_critical_value(first_t * first_t) - half_width = critical * float(self.std_errors.loc[name]) + half_width = critical * float(self.std_errors.iloc[-1]) return DataFrame( [[estimate - half_width, estimate + half_width]], - index=self.params.loc[[name]].index, + index=self.params.index[-1:], columns=["lower", "upper"], ) diff --git a/linearmodels/tests/iv/test_tf.py b/linearmodels/tests/iv/test_tf.py index 5ef591a078..df00af1d68 100644 --- a/linearmodels/tests/iv/test_tf.py +++ b/linearmodels/tests/iv/test_tf.py @@ -1,6 +1,6 @@ import numpy as np from numpy.testing import assert_allclose, assert_array_equal -from pandas import DataFrame +from pandas import DataFrame, Series from pandas.testing import assert_frame_equal, assert_series_equal import pytest @@ -141,6 +141,23 @@ def test_formula_labels_and_retained_sample(data): assert list(res.tf_conf_int().columns) == ["lower", "upper"] +def test_duplicate_control_and_endogenous_labels(data): + y, w, x, z = data + expected = IV2SLS(y, w, DataFrame({"x": x}), z).fit().tf_conf_int() + controls = DataFrame(w, columns=["x", "w"]) + res = IV2SLS(y, controls, DataFrame({"x": x}), z).fit() + assert_frame_equal(res.tf_conf_int(), expected) + + +@pytest.mark.parametrize("label", [7, ("endogenous", "x")]) +def test_nonstring_endogenous_label(data, label): + y, w, x, z = data + expected = IV2SLS(y, w, x, z).fit().tf_conf_int() + actual = IV2SLS(y, w, Series(x, name=label), z).fit().tf_conf_int() + assert_allclose(actual, expected) + assert list(actual.index) == [label] + + @pytest.mark.parametrize("instrument_scale", [-1000, -1, 1e-6, 1e6]) def test_instrument_scale_and_sign(data, instrument_scale): y, w, x, z = data From e9d8a71d583c6cfa0184aaae1c4bf77b675d137b Mon Sep 17 00:00:00 2001 From: ***** <721466+soodoku@users.noreply.github.com> Date: Sun, 1 Nov 2026 21:59:07 -0800 Subject: [PATCH 4/5] BUG: Avoid model import in tF estimator validation --- linearmodels/iv/results.py | 4 +--- linearmodels/tests/iv/test_tf.py | 19 ++++++++++++++++--- 2 files changed, 17 insertions(+), 6 deletions(-) diff --git a/linearmodels/iv/results.py b/linearmodels/iv/results.py index 8e835e98e2..45a2d75472 100644 --- a/linearmodels/iv/results.py +++ b/linearmodels/iv/results.py @@ -1370,10 +1370,8 @@ def tf_conf_int(self) -> DataFrame: 112(10), 3260-3290. https://doi.org/10.1257/aer.20211063. Author version: https://eml.berkeley.edu/~jmccrary/LMMP_2_15_22.pdf. """ - from linearmodels.iv.model import IV2SLS - if ( - not isinstance(self.model, IV2SLS) + self.method != "IV-2SLS" or self.model.endog.shape[1] != 1 or self.model.instruments.shape[1] != 1 ): diff --git a/linearmodels/tests/iv/test_tf.py b/linearmodels/tests/iv/test_tf.py index df00af1d68..cf14f4bf05 100644 --- a/linearmodels/tests/iv/test_tf.py +++ b/linearmodels/tests/iv/test_tf.py @@ -202,11 +202,24 @@ def test_weak_first_stage(data): assert_array_equal(res.tf_conf_int(), [[-np.inf, np.inf]]) -@pytest.mark.parametrize("model", [IVLIML, IVJIVE]) -def test_unsupported_estimator(data, model): +@pytest.mark.parametrize( + ("model", "config"), + [(IVLIML, {}), (IVLIML, {"kappa": 1}), (IVLIML, {"fuller": 1}), (IVJIVE, {})], +) +def test_unsupported_estimator(data, model, config): y, w, x, z = data with pytest.raises(ValueError, match="requires IV2SLS"): - model(y, w, x, z).fit().tf_conf_int() + model(y, w, x, z, **config).fit().tf_conf_int() + + +def test_iv2sls_subclass(data): + class CustomIV2SLS(IV2SLS): + pass + + y, w, x, z = data + expected = IV2SLS(y, w, x, z).fit().tf_conf_int() + actual = CustomIV2SLS(y, w, x, z).fit().tf_conf_int() + assert_frame_equal(actual, expected) @pytest.mark.parametrize("two_endog", [True, False]) From 53cc6a0ca5d8653897f432ad9bd38a348e1aab4a Mon Sep 17 00:00:00 2001 From: ***** <721466+soodoku@users.noreply.github.com> Date: Sun, 1 Nov 2026 23:38:12 -0800 Subject: [PATCH 5/5] ENH: Generalize tF inference with generated calibrations --- MANIFEST.in | 1 + doc/source/iv/weak-instruments.rst | 67 +++++- linearmodels/iv/_tf.py | 197 ++++++++--------- linearmodels/iv/_tf_data/LICENSE | 21 ++ linearmodels/iv/_tf_data/README.rst | 32 +++ linearmodels/iv/_tf_data/alpha-0.0001.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.0001.npz | Bin 0 -> 169997 bytes linearmodels/iv/_tf_data/alpha-0.0005.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.0005.npz | Bin 0 -> 169610 bytes linearmodels/iv/_tf_data/alpha-0.001.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.001.npz | Bin 0 -> 168189 bytes linearmodels/iv/_tf_data/alpha-0.002.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.002.npz | Bin 0 -> 168435 bytes linearmodels/iv/_tf_data/alpha-0.005.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.005.npz | Bin 0 -> 169145 bytes linearmodels/iv/_tf_data/alpha-0.01.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.01.npz | Bin 0 -> 167204 bytes linearmodels/iv/_tf_data/alpha-0.02.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.02.npz | Bin 0 -> 167337 bytes linearmodels/iv/_tf_data/alpha-0.025.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.025.npz | Bin 0 -> 168551 bytes linearmodels/iv/_tf_data/alpha-0.03.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.03.npz | Bin 0 -> 167840 bytes linearmodels/iv/_tf_data/alpha-0.04.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.04.npz | Bin 0 -> 167073 bytes linearmodels/iv/_tf_data/alpha-0.05.json | 82 +++++++ linearmodels/iv/_tf_data/alpha-0.05.npz | Bin 0 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create mode 100644 linearmodels/iv/_tf_data/LICENSE create mode 100644 linearmodels/iv/_tf_data/README.rst create mode 100644 linearmodels/iv/_tf_data/alpha-0.0001.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.0001.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.0005.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.0005.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.001.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.001.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.002.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.002.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.005.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.005.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.01.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.01.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.02.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.02.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.025.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.025.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.03.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.03.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.04.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.04.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.05.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.05.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.06.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.06.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.075.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.075.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.1.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.1.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.125.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.125.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.15.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.15.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.2.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.2.npz create mode 100644 linearmodels/iv/_tf_data/alpha-0.25.json create mode 100644 linearmodels/iv/_tf_data/alpha-0.25.npz diff --git a/MANIFEST.in b/MANIFEST.in index 6a2cbbfe94..ba1f7c16e8 100644 --- a/MANIFEST.in +++ b/MANIFEST.in @@ -4,6 +4,7 @@ recursive-include doc/source * recursive-include linearmodels *.pyx recursive-include linearmodels/tests *.txt *.csv *.dta recursive-include linearmodels/datasets * +recursive-include linearmodels/iv/_tf_data *.npz *.json *.rst LICENSE recursive-include examples * include linearmodels/_version.py include LICENSE.md diff --git a/doc/source/iv/weak-instruments.rst b/doc/source/iv/weak-instruments.rst index 4794ff4107..2a61641140 100644 --- a/doc/source/iv/weak-instruments.rst +++ b/doc/source/iv/weak-instruments.rst @@ -1,8 +1,8 @@ Confidence intervals with a weak instrument =========================================== -:meth:`~linearmodels.iv.results.IVResults.tf_conf_int` constructs a conservative -95% tF interval for one endogenous regressor and one excluded instrument. It is +:meth:`~linearmodels.iv.results.IVResults.tf_conf_int` constructs a tF interval +for one endogenous regressor and one excluded instrument. It is an explicit alternative to the conventional :meth:`~linearmodels.iv.results.IVResults.conf_int`. It supports IV2SLS with unadjusted or heteroskedasticity-robust covariance, ``debiased=False``, and constant observation weights. Other configurations raise @@ -27,21 +27,66 @@ For example, use proximity to a four-year college as an instrument for education True >>> bool(interval.loc["educ", "upper"] >= conventional["upper"]) True + >>> interval_99 = result.tf_conf_int(level=0.99) + >>> bool(interval_99.loc["educ", "lower"] < interval.loc["educ", "lower"]) + True + >>> bool(interval_99.loc["educ", "upper"] > interval.loc["educ", "upper"]) + True The first-stage statistic is the squared t statistic for the excluded instrument, using the fitted model's covariance convention. The coefficient and SE are reused. Neither the original SE nor the conventional p-values and intervals are changed. -The implementation interpolates in F using the upward-rounded values in Table 3a -of the `February 16, 2022 author version -`_ of Lee, McCrary, Moreira and -Porter's `Valid t-Ratio Inference for IV `_. -Section 3.2 justifies this conservative interpolation by convexity. It uses an -unbounded interval below F=4, including the small range where the smooth tF -interval is bounded, and a critical value of 1.96 at and above F=104.67. +The default ``method="table"`` uses bundled tables generated by +`tf-inference `_ from Appendix B.3 +of Lee, McCrary, Moreira and Porter's +`Valid t-Ratio Inference for IV `_. +The `author manuscript `_ +contains the construction. The generated tables contain at least 16,385 rows +per level and are cached after the first load. They require no additional +dependency, network access or numerical calibration at runtime. + +``level`` is a confidence level, matching ``conf_int(level=...)``; the default +is 0.95. Bundled levels are 0.75, 0.8, 0.85, 0.875, 0.9, 0.925, 0.94, 0.95, +0.96, 0.97, 0.975, 0.98, 0.99, 0.995, 0.998, 0.999, 0.9995 and 0.9999. +No interpolation across confidence levels or automatic numerical computation +is performed. An unavailable level raises an error. + +For an unconventional level, explicitly request numerical calibration:: + + interval = result.tf_conf_int(level=0.963, method="compute") + +This requires Python 3.11 or later and the optional tf-inference package. +The validated source revision can be installed with:: + + python -m pip install git+https://github.com/finite-sample/tf-inference.git@ebaa0f8ff0286203b0a1488abdf3330ace84c4fe + +The first computation can take several seconds; the calibration is cached by +level for later calls. The numerical implementation accepts levels between +0.75 and 0.9999. For custom numerical settings, inspection of calibration +diagnostics, or export of reusable constants, use tf-inference directly with +``alpha=1-level``. The finite calibration search should be checked beyond its +search settings before relying on an unconventional level for research. + +The unbounded-interval threshold is the squared normal critical value for the +requested level. At 95% it is about 3.84145882. F strictly above this boundary +gives finite bounds, including the interval between this boundary and 4. +For F=10 the 95% critical value is about 3.4303537; an estimate of 1 with SE=0.4 +therefore gives bounds of approximately [-0.37214, 2.37214]. Each confidence +level has its own calibrated plateau. At 99%, for example, its critical value +is about 2.72549, above the normal 99% critical value of 2.57583. + +The code interpolates the regularized squared critical value +``(F - boundary) * critical(F)**2``, which has a finite limit at the boundary. +The tables' source revision, license, checksums, construction settings and +validation provenance are included in ``linearmodels/iv/_tf_data``. -This adjustment is calibrated only for 95% confidence. It is not a p-value -calculation or a guarantee of finite-sample coverage. Instrument validity and the +Calibration uses deterministic integration, a finite nuisance-parameter grid +and local searches. Held-out checks and grid refinement assess the numerical +approximation; they do not prove a uniform size bound. This implementation does +not claim the conservative rounding guarantee of the paper's printed-table +interpolation. It is not a p-value calculation or a guarantee of finite-sample +coverage. Instrument validity and the model's other identifying and sampling assumptions still matter. The newer VtF procedure uses additional information and can yield shorter intervals; this method implements tF, not VtF. The existing ``anderson_rubin`` property is a test diff --git a/linearmodels/iv/_tf.py b/linearmodels/iv/_tf.py index ce6989f9b0..5a066c5cf3 100644 --- a/linearmodels/iv/_tf.py +++ b/linearmodels/iv/_tf.py @@ -1,119 +1,92 @@ -"""Conservative tabulated tF critical values for single-instrument IV.""" +"""Generated tF critical values for single-instrument IV inference.""" -from numpy import array, inf, interp, isfinite +from functools import lru_cache +import hashlib +from importlib import import_module +from importlib.resources import files +import io +import json +from math import inf, isfinite, sqrt +from typing import Any -# Table 3a, Lee, McCrary, Moreira and Porter, February 16, 2022 author version: -# https://eml.berkeley.edu/~jmccrary/LMMP_2_15_22.pdf (page 16). -# Both columns are rounded upward in the paper. Section 3.2 justifies linear -# interpolation in F by convexity of the critical-value function. -_TF_TABLE = array( - [ - (4.000, 18.656), - (4.008, 18.236), - (4.015, 17.826), - (4.023, 17.425), - (4.031, 17.033), - (4.040, 16.649), - (4.049, 16.275), - (4.059, 15.909), - (4.068, 15.551), - (4.079, 15.201), - (4.090, 14.859), - (4.101, 14.524), - (4.113, 14.197), - (4.125, 13.878), - (4.138, 13.566), - (4.151, 13.260), - (4.166, 12.962), - (4.180, 12.670), - (4.196, 12.385), - (4.212, 12.107), - (4.229, 11.834), - (4.247, 11.568), - (4.265, 11.308), - (4.285, 11.053), - (4.305, 10.804), - (4.326, 10.561), - (4.349, 10.324), - (4.372, 10.091), - (4.396, 9.864), - (4.422, 9.642), - (4.449, 9.425), - (4.477, 9.213), - (4.507, 9.006), - (4.538, 8.803), - (4.570, 8.605), - (4.604, 8.412), - (4.640, 8.222), - (4.678, 8.037), - (4.717, 7.856), - (4.759, 7.680), - (4.803, 7.507), - (4.849, 7.338), - (4.897, 7.173), - (4.948, 7.011), - (5.002, 6.854), - (5.059, 6.699), - (5.119, 6.549), - (5.182, 6.401), - (5.248, 6.257), - (5.319, 6.117), - (5.393, 5.979), - (5.472, 5.844), - (5.556, 5.713), - (5.644, 5.584), - (5.738, 5.459), - (5.838, 5.336), - (5.944, 5.216), - (6.056, 5.098), - (6.176, 4.984), - (6.304, 4.872), - (6.440, 4.762), - (6.585, 4.655), - (6.741, 4.550), - (6.907, 4.448), - (7.085, 4.348), - (7.276, 4.250), - (7.482, 4.154), - (7.702, 4.061), - (7.940, 3.969), - (8.196, 3.880), - (8.473, 3.793), - (8.773, 3.707), - (9.098, 3.624), - (9.451, 3.542), - (9.835, 3.463), - (10.253, 3.385), - (10.711, 3.309), - (11.214, 3.234), - (11.766, 3.161), - (12.374, 3.090), - (13.048, 3.021), - (13.796, 2.953), - (14.631, 2.886), - (15.566, 2.821), - (16.618, 2.758), - (17.810, 2.696), - (19.167, 2.635), - (20.721, 2.576), - (22.516, 2.518), - (24.605, 2.461), - (27.058, 2.406), - (29.967, 2.352), - (33.457, 2.299), - (37.699, 2.247), - (42.930, 2.197), - (49.495, 2.147), - (57.902, 2.099), - (68.930, 2.052), - (83.823, 2.006), - (104.67, 1.960), - ] +from numpy import load +from scipy.interpolate import PchipInterpolator + +_TF_ALPHAS = ( + 0.0001, + 0.0005, + 0.001, + 0.002, + 0.005, + 0.01, + 0.02, + 0.025, + 0.03, + 0.04, + 0.05, + 0.06, + 0.075, + 0.1, + 0.125, + 0.15, + 0.2, + 0.25, ) +_TF_LEVELS = {1 - alpha: alpha for alpha in _TF_ALPHAS} + + +@lru_cache(maxsize=32) +def _tf_table(alpha: float) -> tuple[float, float, PchipInterpolator]: + root = files("linearmodels.iv").joinpath("_tf_data") + prefix = f"alpha-{alpha!r}" + metadata = json.loads(root.joinpath(prefix + ".json").read_text()) + if metadata["schema_version"] != 1 or metadata["alpha"] != alpha: + raise ValueError("Unsupported or inconsistent tF table metadata.") + contents = root.joinpath(prefix + ".npz").read_bytes() + if hashlib.sha256(contents).hexdigest() != metadata["npz_sha256"]: + raise ValueError("tF table checksum does not match its metadata.") + with load(io.BytesIO(contents), allow_pickle=False) as data: + spline = PchipInterpolator(data["f"], data["regularized"], extrapolate=False) + return metadata["boundary"], metadata["plateau_f"], spline + + +@lru_cache(maxsize=32) +def _tf_calibration(alpha: float) -> Any: + try: + package = import_module("tf_inference") + except ImportError as exc: + raise ImportError( + "method='compute' requires the optional tf-inference package. " + "Install it from https://github.com/finite-sample/tf-inference." + ) from exc + return package.calibrate(alpha) -def _tf_critical_value(f_stat: float) -> float: - """Return the conservative 95% tF critical value from Table 3a.""" +def _tf_critical_value( + f_stat: float, level: float = 0.95, *, method: str = "table" +) -> float: + """Evaluate a generated tF table or explicitly request numerical calibration.""" if not isfinite(f_stat) or f_stat < 0: raise ValueError("The first-stage F statistic must be finite and nonnegative.") - return float(interp(f_stat, _TF_TABLE[:, 0], _TF_TABLE[:, 1], left=inf)) + if not isfinite(level) or not 0.75 <= level <= 0.9999: + raise ValueError("level must be finite and between 0.75 and 0.9999.") + # Match confidence levels before subtraction to retain the exact bundled alpha. + alpha = _TF_LEVELS.get(level) + if method == "compute": + return float( + _tf_calibration(alpha if alpha is not None else 1 - level).critical_value( + f_stat + ) + ) + if method != "table": + raise ValueError("method must be 'table' or 'compute'.") + if alpha is None: + raise ValueError( + f"No bundled tF table for level={level}. " + "Use method='compute' with the optional tf-inference package." + ) + boundary, plateau_f, spline = _tf_table(alpha) + if f_stat <= boundary: + return inf + value = min(f_stat, plateau_f) + return sqrt(float(spline(value)) / (value - boundary)) diff --git a/linearmodels/iv/_tf_data/LICENSE b/linearmodels/iv/_tf_data/LICENSE new file mode 100644 index 0000000000..4b39e57eaa --- /dev/null +++ b/linearmodels/iv/_tf_data/LICENSE @@ -0,0 +1,21 @@ +MIT License + +Copyright (c) 2026 Gaurav Sood + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/linearmodels/iv/_tf_data/README.rst b/linearmodels/iv/_tf_data/README.rst new file mode 100644 index 0000000000..0f94ff94c4 --- /dev/null +++ b/linearmodels/iv/_tf_data/README.rst @@ -0,0 +1,32 @@ +Generated tF calibration tables +=============================== + +The NPZ and JSON files are copied without modification from +https://github.com/finite-sample/tf-inference at commit +``ebaa0f8ff0286203b0a1488abdf3330ace84c4fe`` (version 0.1.0). +The accompanying LICENSE is that project's MIT license. + +Each NPZ stores the F grid and the regularized squared critical value +``Z(F) = (F - boundary) * critical(F)**2``. The matching JSON records the +boundary, calibrated plateau, construction settings, numerical size-search +diagnostics, midpoint interpolation error and SHA-256 checksum. Runtime lookup +verifies the checksum once, constructs a PCHIP interpolator for Z, and caches it. +F at or below the boundary returns infinity. Above it, cap F at ``plateau_f`` +and evaluate ``sqrt(Z(F) / (F - boundary))``. + +These are generated numerical approximations to Appendix B.3 of Lee, McCrary, +Moreira and Porter (2022), https://doi.org/10.1257/aer.20211063. They do not use +the rounded printed tables. Calibration uses a finite nuisance-parameter grid +and local optimization, not a certified supremum over the unbounded domain. +Interpolation is not claimed to preserve the printed table's conservative bound. + +The source package's ``validation/results.json`` records 4,032 held-out +rejection-probability checks and comparisons against refined curves. The largest +observed relative critical-value difference across the 18 levels was 1.76e-7. +These are numerical checks, not uniform error or coverage guarantees. + +To regenerate, check out that source commit, install it, run ``make tables`` +and ``make validate``, then copy its ``src/tf_inference/data/*.npz`` and +``src/tf_inference/data/*.json`` into this directory. Retain its license and +update this provenance record. The source package also exports CSV files for +other software; linearmodels needs only NPZ and JSON. diff --git a/linearmodels/iv/_tf_data/alpha-0.0001.json b/linearmodels/iv/_tf_data/alpha-0.0001.json new file mode 100644 index 0000000000..a48087c51a --- /dev/null +++ b/linearmodels/iv/_tf_data/alpha-0.0001.json @@ -0,0 +1,82 @@ +{ + "schema_version": 1, + "alpha": 0.0001, + "boundary": 15.136705226623398, + "epsilon": 0.0001, + "seeds": 256, + "points": 16385, + "plateau_f": 644.9077041789053, + "minimum_plateau_f": 644.9077041789053, + "property_c_endpoint": 644.9077041789053, + "table_relative_error_on_midpoints": 3.709627693915252e-08, + "npz_sha256": "8b4bcc9025761afc38e28a8ccccdb90f1a46cf783aab4fff0b610d25dce5b46b", + "csv_sha256": "647a218049bc7173324bf7b6f30e5044b718a5b3c2ded8edb928eef77fc0b528", + "diagnostics": { + "alpha": 0.0001, + "plateau_f": 644.9077041789053, + "plateau_critical": 4.357098832839683, + "property_c_endpoint": 644.9077041789053, + "maximum_rejection": 0.00010000000363025216, + "worst_strength": 2.0274492775642177, + "worst_rho": 1.0, + "integration_error": 2.328172135753514e-10, + "size_tolerance": 2e-07, + "strength_limit": 80, + "evaluations": 583, + "adjustments": 0, + "correlations": [ + 0.0, + 0.25, + 0.5, + 0.75, + 0.9, + 0.95, + 0.99, + 0.995, + 0.999, + 0.9999, + 1.0 + ], + "strengths": [ + 0.0, + 0.05, + 0.1, + 0.25, + 0.5, + 1.0, + 1.1518342801539727, + 1.3267222089378203, + 1.5281641204961829, + 1.7601918196888497, + 2.0274492775642177, + 2.3352855791718725, + 2.689861984039387, + 3.0982752420995436, + 3.5686996332026037, + 4.110550573095668, + 4.734673060398148, + 5.453558736288107, + 6.281595901289821, + 7.235357493180306, + 8.333932789813991, + 9.599309475806987, + 11.056813720041351, + 12.7356170720204, + 14.66932032246726, + 16.89662601397712, + 19.462113061840224, + 22.417128988859965, + 25.82081763200227, + 29.74130289014434, + 34.25705220531067, + 39.45844706710108, + 45.44959197352801, + 52.350398054120404, + 60.298983058441706, + 69.45443574513679, + 80.0 + ] + }, + "reference": "https://doi.org/10.1257/aer.20211063", + "algorithm": "Appendix B.3; regularized inverse map; Property C; finite size search" +} diff --git a/linearmodels/iv/_tf_data/alpha-0.0001.npz b/linearmodels/iv/_tf_data/alpha-0.0001.npz new file mode 100644 index 0000000000000000000000000000000000000000..4786ae827e75df598dd14f5535a30a312bbbce23 GIT binary patch literal 169997 zcmXV%cQhOB`~Iobnjckrb)mM_Y^>U~H?^rEs8z8->`@d|wP&mtHCmy>rmfb@uxf=W z5?h5J!uNfC=l7iRoadkW-{-ns=eqCP%#ey&l7fQb=70AdMHYHr^ZNfE8j3pKmS z5tJ1Fqj*bkAvg3D zXSUq)=am{lRn@ONYCb*r!tlGg@-{^MfJDBe!A5sEwQLIZBMTJtvQ30Gdj~yYD(p}*bM~vsJjT*Sjj$5fUV&d>ZV&G(zL9P0}xs(q^U&%)||J^{&7?J5lVjOKyylpkcu=Z zbmrgzv6JXYVO6&@llDP5hgpGz^yIq)vzn|V%V}H))Q+V{gl{FM_7>@+l9c2$gExU1 z1t2ue^g1h9$oCx4`F)&|mgEX@2BS&7_vfowOx>9zUyarj{Rj>n1wE2s%|gCb>U~(Eq&ckttkOHU3Cp|# zkuHInmNTg8qQZv0SLwvuvV8}Y9Fn0zWhGZe5BclLna^VjY8g(9v;~sZjq#FegwKS+ 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