Hypothesis Tests

Statistical tests for comparing groups, measuring relationships, and validating assumptions directly in SQL.

Categories

Parametric Tests

Tests assuming normal distributions

t-TestANOVAShapiro-WilkTOST+9 more

Nonparametric Tests

Distribution-free tests

Mann-WhitneyKruskal-WallisWilcoxon+4 more

Correlation Tests

Relationship and reliability analysis

PearsonSpearmanKendallICC+1 more

Categorical Tests

Tests for categorical and count data

Chi-SquareFisherMcNemarKappa+5 more

Forecast Model Selection

Compare forecast accuracy

Diebold-MarianoClark-West

All Functions

All CategoryCategoricalCorrelationForecastNonparametricParametric

Function	Category	Description
anofox_stats_shapiro_wilk_agg	Parametric	Shapiro-Wilk normality test
anofox_stats_jarque_bera_agg	Parametric	Jarque-Bera normality test
anofox_stats_dagostino_k2_agg	Parametric	D'Agostino K² normality test
anofox_stats_t_test_agg	Parametric	Student's t-test (two groups)
anofox_stats_one_way_anova_agg	Parametric	One-way ANOVA (3+ groups)
anofox_stats_yuen_agg	Parametric	Yuen's trimmed mean test
anofox_stats_brown_forsythe_agg	Parametric	Brown-Forsythe variance equality test
anofox_stats_prop_test_one_agg	Parametric	One-sample proportion test
anofox_stats_prop_test_two_agg	Parametric	Two-sample proportion test
anofox_stats_binom_test_agg	Parametric	Exact binomial test
anofox_stats_tost_t_test_agg	Parametric	TOST equivalence t-test
anofox_stats_tost_paired_agg	Parametric	TOST paired equivalence
anofox_stats_tost_correlation_agg	Parametric	TOST correlation equivalence
anofox_stats_mann_whitney_u_agg	Nonparametric	Mann-Whitney U test (two groups)
anofox_stats_kruskal_wallis_agg	Nonparametric	Kruskal-Wallis test (3+ groups)
anofox_stats_wilcoxon_signed_rank_agg	Nonparametric	Wilcoxon signed-rank (paired)
anofox_stats_brunner_munzel_agg	Nonparametric	Brunner-Munzel robust test
anofox_stats_permutation_t_test_agg	Nonparametric	Permutation t-test
anofox_stats_energy_distance_agg	Nonparametric	Energy distance test
anofox_stats_mmd_agg	Nonparametric	Maximum mean discrepancy
anofox_stats_pearson_agg	Correlation	Pearson linear correlation
anofox_stats_spearman_agg	Correlation	Spearman rank correlation
anofox_stats_kendall_agg	Correlation	Kendall's tau correlation
anofox_stats_distance_cor_agg	Correlation	Distance correlation (nonlinear)
anofox_stats_icc_agg	Correlation	Intraclass correlation (reliability)
anofox_stats_chisq_test_agg	Categorical	Chi-square independence test
anofox_stats_chisq_gof_agg	Categorical	Chi-square goodness of fit
anofox_stats_g_test_agg	Categorical	G-test (log-likelihood ratio)
anofox_stats_fisher_exact_agg	Categorical	Fisher's exact test (2x2)
anofox_stats_mcnemar_agg	Categorical	McNemar's test (paired categorical)
anofox_stats_cramers_v_agg	Categorical	Cramér's V effect size
anofox_stats_phi_coefficient_agg	Categorical	Phi coefficient (2x2)
anofox_stats_contingency_coef_agg	Categorical	Contingency coefficient
anofox_stats_cohen_kappa_agg	Categorical	Cohen's kappa (inter-rater)
anofox_stats_diebold_mariano_agg	Forecast	Diebold-Mariano forecast comparison
anofox_stats_clark_west_agg	Forecast	Clark-West nested model test

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