Method Coverage¶

Auto-generated from samplesize/registry/methods.json and the worked-example fixtures. Run python scripts/gen_method_coverage.py to refresh; CI fails if it is out of date.

Summary¶

234 methods in the registry
234 validated against reference worked examples (all 🟢)
819 worked-example fixtures across 234 fixture files

Legend¶

⚪ Not implemented
🟡 Implemented, not validated against reference examples
🟢 Implemented and validated to documented tolerance

Methods by category¶

ANOVA¶

id	name	status	fixtures
`randomized_block_anova`	Randomized Block Analysis of Variance	🟢	2

ANOVA & Linear Models¶

id	name	status	fixtures
`multiple_comparisons`	Multiple Comparisons	🟢	5
`multiple_comparisons_vs_control_sim`	Multiple Comparisons of Treatments vs a Control (Simulation)	🟢	4
`multiple_contrasts_sim`	Multiple Contrasts (Simulation)	🟢	4
`one_way_anova_contrasts`	One-Way Analysis of Variance Contrasts	🟢	4
`one_way_anova_f`	One-Way Analysis of Variance F-Tests	🟢	3
`one_way_anova_f_simulation`	One-Way Analysis of Variance F-Tests (Simulation)	🟢	4
`pair_wise_multiple_comparisons_sim`	Pair-Wise Multiple Comparisons (Simulation)	🟢	4
`power_comparison_means_one_way_sim`	Power Comparison of Tests of Means in One-Way Designs (Simulation)	🟢	4
`tests_difference_two_regression_intercepts`	Tests for the Difference Between Two Linear Regression Intercepts	🟢	3
`tests_difference_two_regression_slopes`	Tests for the Difference Between Two Linear Regression Slopes	🟢	3

ANOVA - ANCOVA¶

id	name	status	fixtures
`ancova_one_way`	One-Way Analysis of Covariance (ANCOVA)	🟢	2

ANOVA - Factorial¶

id	name	status	fixtures
`factorial_anova_two_way`	Two-Way Analysis of Variance	🟢	4

ANOVA - Repeated Measures¶

id	name	status	fixtures
`anova_mixed_between_within`	Repeated Measures Analysis - Mixed Between/Within	🟢	2
`anova_repeated_measures_within`	Repeated Measures Analysis - Within-Subject	🟢	2

Cluster-Randomized - Means¶

id	name	status	fixtures
`equivalence_cluster_two_means`	Equivalence Tests for Two Means in a Cluster-Randomized Design	🟢	3
`non_inferiority_cluster_two_means`	Non-Inferiority Tests for Two Means in a Cluster-Randomized Design	🟢	3
`superiority_by_margin_cluster_two_means`	Superiority by a Margin Tests for Two Means in a Cluster-Randomized Design	🟢	3

Cluster-Randomized - Proportions¶

id	name	status	fixtures
`equivalence_cluster_two_proportions`	Equivalence Tests for the Difference of Two Proportions in a Cluster-Randomized Design	🟢	2
`non_inferiority_cluster_ratio_two_proportions`	Non-Inferiority Tests for the Ratio of Two Proportions in a Cluster-Randomized Design	🟢	2
`non_inferiority_cluster_two_proportions`	Non-Inferiority Tests for the Difference of Two Proportions in a Cluster-Randomized Design	🟢	2

Cluster-Randomized - Rates¶

id	name	status	fixtures
`cluster_two_poisson_rates`	Tests for the Difference Between Two Poisson Rates in a Cluster-Randomized Design	🟢	2

Cluster-Randomized - Survival¶

id	name	status	fixtures
`cluster_logrank`	Logrank Tests in a Cluster-Randomized Design	🟢	3

Cluster-Randomized Designs¶

id	name	status	fixtures
`cluster_randomized_two_means`	Tests for Two Means in a Cluster-Randomized Design	🟢	7
`cluster_randomized_two_proportions`	Tests for Two Proportions in a Cluster-Randomized Design	🟢	6

Conditional Power¶

id	name	status	fixtures
`conditional_power_logrank`	Conditional Power of Logrank Tests	🟢	2
`conditional_power_one_proportion`	Conditional Power of One Proportion Tests	🟢	2
`conditional_power_two_proportions`	Conditional Power of Two Proportions Tests	🟢	2

Correlation¶

id	name	status	fixtures
`ci_intraclass_correlation`	Confidence Intervals for Intraclass Correlation	🟢	5
`ci_kappa`	Confidence Intervals for Kappa	🟢	2
`ci_kendall_tau_b`	Confidence Intervals for Kendall's Tau-b Correlation	🟢	5
`ci_linear_regression_slope`	Confidence Intervals for Linear Regression Slope	🟢	2
`ci_michaelis_menten`	Confidence Intervals for Michaelis-Menten Parameters	🟢	2
`ci_pearson_correlation`	Confidence Interval for Pearson's Correlation	🟢	5
`ci_point_biserial_correlation`	Confidence Intervals for Point Biserial Correlation	🟢	5
`ci_spearman_correlation`	Confidence Intervals for Spearman's Rank Correlation	🟢	5
`kendall_tau_b_simulation`	Kendall's Tau-b Correlation Tests (Simulation)	🟢	4
`lin_concordance_correlation`	Lin's Concordance Correlation Coefficient	🟢	4
`pearson_correlation`	Pearson's Correlation Tests	🟢	3
`pearson_correlation_simulation`	Pearson's Correlation Tests (Simulation)	🟢	4
`point_biserial_correlation`	Point Biserial Correlation Tests	🟢	5
`power_comparison_correlation_simulation`	Power Comparison of Correlation Tests (Simulation)	🟢	3
`spearman_correlation_simulation`	Spearman's Rank Correlation Tests (Simulation)	🟢	4
`tests_intraclass_correlation`	Tests for Intraclass Correlation	🟢	4
`tests_two_correlations`	Tests for Two Correlations	🟢	5

Counts¶

id	name	status	fixtures
`tests_two_poisson_means`	Tests for Two Poisson Means	🟢	2

Counts/Rates - Negative Binomial¶

id	name	status	fixtures
`negative_binomial_two_rates`	Tests for the Ratio of Two Negative Binomial Rates	🟢	3

Counts/Rates - Poisson¶

id	name	status	fixtures
`incidence_rate_ratio_with_followup`	Tests for the Ratio of Two Poisson Rates (Variable Follow-Up)	🟢	2
`one_sample_poisson_rate`	Tests for One Poisson Rate	🟢	4
`two_sample_poisson_rates`	Tests for the Ratio of Two Poisson Rates	🟢	3

Cross-Over¶

id	name	status	fixtures
`higher_order_crossover_eq_ratio`	Equivalence Tests for the Ratio of Two Means in a Higher-Order Cross-Over Design	🟢	2
`higher_order_crossover_ni_ratio`	Non-Inferiority Tests for the Ratio of Two Means in a Higher-Order Cross-Over Design	🟢	2
`superiority_by_margin_higher_order_cross_over_ratio`	Superiority by a Margin Tests for the Ratio of Two Means in a Higher-Order Cross-Over Design	🟢	2

Cross-Over Designs¶

id	name	status	fixtures
`bioequivalence_two_means_ratios`	Equivalence Tests for Two Means in a 2x2 Cross-Over Design using Ratios	🟢	9
`conditional_power_2x2_crossover`	Conditional Power of 2x2 Cross-Over Designs	🟢	3
`cross_over_two_means`	Tests for Two Means in a 2x2 Cross-Over Design using Differences	🟢	6
`equivalence_cross_over_diff`	Equivalence Tests for Two Means in a 2x2 Cross-Over Design using Differences	🟢	9
`equivalence_higher_order_cross_over_diff`	Equivalence Tests for the Difference of Two Means in a Higher-Order Cross-Over Design	🟢	7
`m_period_cross_over_contrasts`	M-Period Cross-Over Designs using Contrasts	🟢	6
`mxm_crossover`	MxM Cross-Over Designs	🟢	4
`non_inferiority_cross_over_diff`	Non-Inferiority Tests for Two Means in a 2x2 Cross-Over Design using Differences	🟢	7
`non_inferiority_cross_over_ratios`	Non-Inferiority Tests for Two Means in a 2x2 Cross-Over Design using Ratios	🟢	7
`non_inferiority_higher_order_cross_over_diff`	Non-Inferiority Tests for the Difference of Two Means in a Higher-Order Cross-Over Design	🟢	6
`superiority_by_margin_cross_over_diff`	Superiority by a Margin Tests for Two Means in a 2x2 Cross-Over Design using Differences	🟢	6
`superiority_by_margin_cross_over_ratios`	Superiority by a Margin Tests for Two Means in a 2x2 Cross-Over Design using Ratios	🟢	7
`superiority_by_margin_higher_order_cross_over_diff`	Superiority by a Margin Tests for the Difference of Two Means in a Higher-Order Cross-Over Design	🟢	6
`tests_higher_order_cross_over_diff`	Tests for the Difference of Two Means in a Higher-Order Cross-Over Design	🟢	6
`tests_ratio_two_means_higher_order_crossover`	Tests for the Ratio of Two Means in a Higher-Order Cross-Over Design	🟢	4
`tests_two_means_cross_over_ratios`	Tests for Two Means in a 2x2 Cross-Over Design using Ratios	🟢	8

Diagnostic - ROC/Sensitivity/Kappa¶

id	name	status	fixtures
`kappa_two_raters_binary`	Kappa Test for Agreement Between Two Raters	🟢	4
`roc_auc_one_sample`	Tests for One ROC Curve	🟢	5
`roc_auc_two_correlated_samples`	Tests for Two ROC Curves (Correlated)	🟢	4
`roc_auc_two_independent_samples`	Tests for Two ROC Curves (Independent)	🟢	3
`sensitivity_specificity_one_sample`	Tests for One-Sample Sensitivity and Specificity	🟢	4
`sensitivity_specificity_two_samples`	Tests for Two Independent Sensitivities	🟢	5

Estimators & Calculators¶

id	name	status	fixtures
`chi_square_effect_size_estimator`	Chi-Square Effect Size Estimator	🟢	3
`kappa_estimator`	Kappa Estimator	🟢	3
`standard_deviation_estimator`	Standard Deviation Estimator	🟢	6
`standard_deviation_of_means_calculator`	Standard Deviation of Means Calculator	🟢	4

Goodness-of-Fit¶

id	name	status	fixtures
`normality_tests_simulation`	Normality Tests (Simulation)	🟢	2

Group-Sequential¶

id	name	status	fixtures
`group_sequential_logrank_simulation`	Group-Sequential Logrank Tests (Simulation)	🟢	2
`group_sequential_ni_two_means_simulation`	Group-Sequential Non-Inferiority Tests for Two Means (Simulation)	🟢	2
`group_sequential_ni_two_proportions_difference_simulation`	Group-Sequential Non-Inferiority Tests for the Difference of Two Proportions (Simulation)	🟢	2
`group_sequential_ni_two_proportions_odds_ratio_simulation`	Group-Sequential Non-Inferiority Tests for the Odds Ratio of Two Proportions (Simulation)	🟢	2
`group_sequential_ni_two_proportions_ratio_simulation`	Group-Sequential Non-Inferiority Tests for the Ratio of Two Proportions (Simulation)	🟢	2
`group_sequential_sup_two_proportions_difference_simulation`	Group-Sequential Superiority by a Margin Tests for the Difference of Two Proportions (Simulation)	🟢	2
`group_sequential_sup_two_proportions_odds_ratio_simulation`	Group-Sequential Superiority by a Margin Tests for the Odds Ratio of Two Proportions (Simulation)	🟢	2
`group_sequential_sup_two_proportions_ratio_simulation`	Group-Sequential Superiority by a Margin Tests for the Ratio of Two Proportions (Simulation)	🟢	2
`group_sequential_two_means_normality_simulation`	Group-Sequential Tests for Two Means Assuming Normality (Simulation)	🟢	2
`group_sequential_two_means_simulation`	Group-Sequential Tests for Two Means (Simulation)	🟢	2
`group_sequential_two_proportions`	Group-Sequential Tests for Two Proportions	🟢	2
`group_sequential_two_proportions_simulation`	Group-Sequential Tests for Two Proportions (Simulation)	🟢	2

Group-Sequential Tests¶

id	name	status	fixtures
`group_sequential_two_means`	Group-Sequential Tests for Two Means	🟢	2

MANOVA¶

id	name	status	fixtures
`manova_pillai`	Multivariate Analysis of Variance (MANOVA) - Pillai	🟢	2

Means - Confidence Intervals¶

id	name	status	fixtures
`ci_difference_two_means`	Confidence Intervals for the Difference Between Two Means	🟢	2
`ci_difference_two_means_tolerance`	Confidence Intervals for the Difference Between Two Means with Tolerance Probability	🟢	2
`ci_one_mean`	Confidence Intervals for One Mean	🟢	2
`ci_one_mean_tolerance`	Confidence Intervals for One Mean with Tolerance Probability	🟢	3
`ci_paired_means`	Confidence Intervals for Paired Means	🟢	2
`ci_paired_means_tolerance`	Confidence Intervals for Paired Means with Tolerance Probability	🟢	2

Means - Exponential¶

id	name	status	fixtures
`tests_one_exponential_mean`	Tests for One Exponential Mean	🟢	3
`tests_two_exponential_means`	Tests for Two Exponential Means	🟢	3

Means - Simulation¶

id	name	status	fixtures
`equivalence_paired_means_simulation`	Equivalence Tests for Paired Means (Simulation)	🟢	2
`equivalence_two_means_simulation`	Equivalence Tests for Two Means (Simulation)	🟢	2
`tests_one_mean_simulation`	Tests for One Mean (Simulation)	🟢	2
`tests_paired_means_simulation`	Tests for Paired Means (Simulation)	🟢	2
`tests_two_means_simulation`	Tests for Two Means (Simulation)	🟢	2

Means - T/Z Tests¶

id	name	status	fixtures
`conditional_power_one_sample_t`	Conditional Power of One-Sample T-Tests	🟢	3
`conditional_power_paired_t`	Conditional Power of Paired T-Tests	🟢	3
`conditional_power_two_sample_t`	Conditional Power of Two-Sample T-Tests	🟢	3
`equivalence_one_mean`	Equivalence Tests for One Mean	🟢	4
`equivalence_paired_means_difference`	Equivalence Tests for the Difference Between Two Paired Means	🟢	2
`equivalence_two_means`	Equivalence Tests for Two Means using Differences	🟢	3
`equivalence_two_means_ratios`	Equivalence Tests for Two Means using Ratios	🟢	6
`hotelling_one_sample_t2`	Hotelling's One-Sample T2	🟢	3
`hotelling_two_sample_t2`	Hotelling's Two-Sample T2	🟢	3
`multiple_one_sample_or_paired_t`	Multiple One-Sample or Paired T-Tests	🟢	6
`multiple_two_sample_t`	Multiple Two-Sample T-Tests	🟢	6
`non_inferiority_one_mean`	Non-Inferiority Tests for One Mean	🟢	5
`non_inferiority_two_means`	Non-Inferiority Tests for Two Means using Differences	🟢	2
`non_inferiority_two_means_ratios`	Non-Inferiority Tests for Two Means using Ratios	🟢	6
`one_sample_t`	Tests for One Mean	🟢	6
`paired_t`	Tests for Paired Means	🟢	4
`superiority_by_margin_one_mean`	Superiority by a Margin Tests for One Mean	🟢	4
`superiority_by_margin_two_means`	Superiority by a Margin Tests for Two Means using Differences	🟢	4
`superiority_by_margin_two_means_ratios`	Superiority by a Margin Tests for Two Means using Ratios	🟢	5
`tests_fold_change_two_means`	Tests for Fold Change of Two Means	🟢	6
`tests_two_groups_pre_post`	Tests for Two Groups of Pre-Post Scores	🟢	5
`tests_two_means_ratios`	Tests for Two Means using Ratios	🟢	6
`two_sample_t_equal_var`	Two-Sample T-Tests Assuming Equal Variance (Enter Means)	🟢	3
`two_sample_t_equal_var_diff`	Two-Sample T-Tests Assuming Equal Variance (Enter Difference)	🟢	4
`two_sample_t_welch_diff`	Two-Sample T-Tests Allowing Unequal Variance (Enter Difference)	🟢	4
`two_sample_t_welch_means`	Two-Sample T-Tests Allowing Unequal Variance (Enter Means)	🟢	4
`two_sample_z_equal_var_diff`	Two-Sample Z-Tests Assuming Equal Variance (Enter Difference)	🟢	5
`two_sample_z_equal_var_means`	Two-Sample Z-Tests Assuming Equal Variance (Enter Means)	🟢	5
`two_sample_z_unequal_var_diff`	Two-Sample Z-Tests Allowing Unequal Variance (Enter Difference)	🟢	5
`two_sample_z_unequal_var_means`	Two-Sample Z-Tests Allowing Unequal Variance (Enter Means)	🟢	5
`williams_minimum_effective_dose`	Williams' Test for the Minimum Effective Dose	🟢	3

Mendelian Randomization¶

id	name	status	fixtures
`mendelian_randomization_continuous`	Mendelian Randomization with a Continuous Outcome	🟢	2

Multicenter / Stratified¶

id	name	status	fixtures
`tests_two_means_multicenter`	Tests for Two Means in a Multicenter Randomized Design	🟢	4

Nonparametric¶

id	name	status	fixtures
`kruskal_wallis_simulation`	Kruskal-Wallis Tests (Simulation)	🟢	2
`mann_whitney_wilcoxon_simulation`	Mann-Whitney-Wilcoxon Tests (Simulation)	🟢	2
`terry_hoeffding_simulation`	Terry-Hoeffding Normal-Scores Tests of Means (Simulation)	🟢	2
`van_der_waerden_simulation`	Van der Waerden Normal Quantiles Tests of Means (Simulation)	🟢	2

Phase II Clinical Trials¶

id	name	status	fixtures
`simon_minimax_two_stage`	Two-Stage Phase II Clinical Trials (Simon Minimax)	🟢	2
`simon_optimal_two_stage`	Two-Stage Phase II Clinical Trials (Simon Optimal)	🟢	2
`simon_two_stage`	Two-Stage Phase II Clinical Trials	🟢	2
`single_stage_phase_ii`	Single-Stage Phase II Clinical Trials	🟢	3
`three_stage_phase_ii`	Three-Stage Phase II Clinical Trials	🟢	2

Proportions¶

id	name	status	fixtures
`chi_square`	Chi-Square Tests	🟢	5
`ci_difference_two_proportions`	Confidence Intervals for the Difference Between Two Proportions	🟢	4
`ci_odds_ratio_two_proportions`	Confidence Intervals for the Odds Ratio of Two Proportions	🟢	3
`ci_one_proportion`	Confidence Intervals for One Proportion	🟢	3
`ci_one_proportion_finite`	Confidence Intervals for One Proportion from a Finite Population	🟢	3
`ci_ratio_two_proportions`	Confidence Intervals for the Ratio of Two Proportions	🟢	3
`cochran_armitage_trend`	Cochran-Armitage Test for Trend in Proportions	🟢	7
`equivalence_odds_ratio_two_proportions`	Equivalence Tests for the Odds Ratio of Two Proportions	🟢	5
`equivalence_one_proportion`	Equivalence Tests for One Proportion	🟢	4
`equivalence_ratio_two_proportions`	Equivalence Tests for the Ratio of Two Proportions	🟢	6
`equivalence_two_proportions`	Equivalence Tests for the Difference Between Two Proportions	🟢	3
`mcnemar`	Tests for Two Correlated Proportions (McNemar Test)	🟢	4
`non_inferiority_odds_ratio_two_proportions`	Non-Inferiority Tests for the Odds Ratio of Two Proportions	🟢	5
`non_inferiority_one_proportion`	Non-Inferiority Tests for One Proportion	🟢	4
`non_inferiority_ratio_two_proportions`	Non-Inferiority Tests for the Ratio of Two Proportions	🟢	6
`non_inferiority_two_proportions`	Non-Inferiority Tests for the Difference Between Two Proportions	🟢	4
`one_proportion`	Tests for One Proportion	🟢	3
`post_marketing_surveillance`	Post-Marketing Surveillance	🟢	3
`superiority_by_margin_odds_ratio_two_proportions`	Superiority by a Margin Tests for the Odds Ratio of Two Proportions	🟢	6
`superiority_by_margin_one_proportion`	Superiority by a Margin Tests for One Proportion	🟢	4
`superiority_by_margin_ratio_two_proportions`	Superiority by a Margin Tests for the Ratio of Two Proportions	🟢	7
`superiority_by_margin_two_proportions`	Superiority by a Margin Tests for the Difference Between Two Proportions	🟢	4
`tests_two_correlated_proportions_matched`	Tests for Two Correlated Proportions in a Matched Case-Control Design	🟢	5
`tests_two_ordered_categorical`	Tests for Two Ordered Categorical Variables	🟢	4
`tests_two_proportions_repeated_measures`	Tests for Two Proportions in a Repeated Measures Design	🟢	5
`tests_two_proportions_stratified`	Tests for Two Proportions in a Stratified Design (Cochran-Mantel-Haenszel Test)	🟢	5
`two_proportions`	Tests for Two Proportions	🟢	5

Proportions - Correlated¶

id	name	status	fixtures
`equivalence_paired_proportions`	Equivalence Tests for the Difference Between Two Correlated Proportions	🟢	2
`equivalence_paired_proportions_ratio`	Equivalence Tests for the Ratio of Two Correlated Proportions	🟢	2
`non_inferiority_paired_proportions`	Non-Inferiority Tests for the Difference Between Two Correlated Proportions	🟢	2
`non_inferiority_paired_proportions_ratio`	Non-Inferiority Tests for the Ratio of Two Correlated Proportions	🟢	2

Quality Control¶

id	name	status	fixtures
`acceptance_sampling_attributes`	Acceptance Sampling for Attributes	🟢	3
`control_chart_means_simulation`	Control Charts for Means (Simulation)	🟢	2
`control_chart_variability_simulation`	Control Charts for Variability (Simulation)	🟢	2

ROC Curves¶

id	name	status	fixtures
`ci_auc_roc`	Confidence Intervals for the Area Under an ROC Curve	🟢	4

Reference Intervals¶

id	name	status	fixtures
`reference_intervals_clinical_lab`	Reference Intervals for Clinical and Lab Medicine	🟢	2

Regression¶

id	name	status	fixtures
`linear_regression_test_slope`	Linear Regression	🟢	3
`logistic_regression_simple`	Logistic Regression	🟢	4
`multiple_regression_omnibus`	Multiple Regression - Omnibus F Test	🟢	2
`multiple_regression_partial`	Multiple Regression - Partial Correlation t Test	🟢	2
`multivariate_regression_wilks`	Multiple Regression - Multivariate Wilks Lambda	🟢	2

Regression – Binary Response¶

id	name	status	fixtures
`probit_analysis`	Probit Analysis	🟢	2

Regression – Count / Rate¶

id	name	status	fixtures
`poisson_regression`	Poisson Regression	🟢	3

Repeated Measures¶

id	name	status	fixtures
`ci_one_way_repeated_measures_contrasts`	Confidence Intervals for One-Way Repeated Measures Contrasts	🟢	2
`one_way_repeated_measures`	One-Way Repeated Measures	🟢	5
`two_means_repeated_measures`	Tests for Two Means in a Repeated Measures Design	🟢	2
`two_proportions_repeated_measures`	Tests for Two Proportions in a Repeated Measures Design	🟢	2

Survival¶

id	name	status	fixtures
`competing_risks_subdistribution_hazard`	Logrank Tests Accounting for Competing Risks	🟢	2
`equivalence_cox_regression`	Equivalence Tests for Two Survival Curves Using Cox PH	🟢	2
`equivalence_two_hazard_rates`	Equivalence Tests for the Difference of Two Hazard Rates	🟢	2
`group_sequential_logrank`	Group-Sequential Logrank Tests	🟢	2
`non_inferiority_cox_regression`	Non-Inferiority Tests for Two Survival Curves Using Cox PH	🟢	2
`non_inferiority_logrank`	Non-Inferiority Logrank Tests	🟢	2
`non_inferiority_two_hazard_rates`	Non-Inferiority Tests for the Difference of Two Hazard Rates	🟢	2
`one_sample_cure_model_logrank`	One-Sample Cure Model Tests	🟢	2
`one_sample_logrank`	One-Sample Logrank Tests	🟢	2
`superiority_by_margin_cox_regression`	Superiority by a Margin Tests for Two Survival Curves Using Cox PH	🟢	2
`superiority_by_margin_two_hazard_rates`	Superiority by a Margin Tests for the Difference of Two Hazard Rates Assuming an Exponential Model	🟢	2
`tests_difference_two_hazard_rates`	Tests for the Difference of Two Hazard Rates Assuming an Exponential Model	🟢	2

Survival - Confidence Intervals¶

id	name	status	fixtures
`ci_exponential_hazard_rate`	Confidence Intervals for the Exponential Hazard Rate	🟢	2
`ci_exponential_lifetime_mean`	Confidence Intervals for the Exponential Lifetime Mean	🟢	2
`ci_exponential_lifetime_percentile`	Confidence Intervals for an Exponential Lifetime Percentile	🟢	2
`ci_exponential_reliability`	Confidence Intervals for Exponential Reliability	🟢	2

Survival / Logrank / Cox¶

id	name	status	fixtures
`cox_regression`	Cox Regression	🟢	4
`logrank_freedman`	Logrank Tests (Freedman)	🟢	1
`logrank_lachin_foulkes`	Logrank Tests (Lachin and Foulkes)	🟢	5

Variances / Standard Deviations¶

id	name	status	fixtures
`bartlett_variances_simulation`	Bartlett Test of Variances (Simulation)	🟢	4
`brown_forsythe_variances_simulation`	Brown-Forsythe Test of Variances (Simulation)	🟢	4
`ci_coefficient_alpha`	Confidence Intervals for Coefficient Alpha	🟢	3
`ci_cp`	Confidence Intervals for Cp	🟢	5
`ci_cpk`	Confidence Intervals for Cpk	🟢	5
`ci_one_sd_relative_error`	Confidence Intervals for One Standard Deviation using Relative Error	🟢	3
`ci_one_sd_tolerance`	Confidence Intervals for One Standard Deviation with Tolerance Probability	🟢	3
`ci_one_sd_using_sd`	Confidence Intervals for One Standard Deviation using Standard Deviation	🟢	3
`ci_one_variance_relative_error`	Confidence Intervals for One Variance using Relative Error	🟢	3
`ci_one_variance_tolerance`	Confidence Intervals for One Variance with Tolerance Probability	🟢	3
`ci_one_variance_using_variance`	Confidence Intervals for One Variance using Variance	🟢	3
`ci_ratio_two_variances_relative_error`	Confidence Intervals for the Ratio of Two Variances using Relative Error	🟢	3
`ci_ratio_two_variances_using_variances`	Confidence Intervals for the Ratio of Two Variances using Variances	🟢	3
`conover_variances_simulation`	Conover Test of Variances (Simulation)	🟢	4
`levene_variances_simulation`	Levene Test of Variances (Simulation)	🟢	4
`tests_one_coefficient_alpha`	Tests for One Coefficient Alpha	🟢	5
`tests_one_variance`	Tests for One Variance	🟢	5
`tests_two_coefficient_alphas`	Tests for Two Coefficient Alphas	🟢	5
`tests_two_variances`	Tests for Two Variances	🟢	4

Notes¶

Pearson correlation uses the exact Guenther/Hotelling density (₂F₁ + numerical integration); a fisher-z backend is retained for the textbook approximation.
Equivalence/TOST means tests use a central-t formulation that matches the exact bivariate-noncentral-t method at moderate-to-large N but is conservative at very small N (documented per fixture).
kappa_two_raters_binary uses the Fleiss-Cohen-Everitt variance maximised over tables (Flack et al. 1988 conservative approach).