手法を比較

	ベイズ的クロス集計分析	ベイズ的カイ二乗検定
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1974	1967
提唱者	Gunel & Dickey	I. J. Good; extended by Gunel, Dickey, and Wagenmakers et al.
種類	Bayesian association test	Bayesian nonparametric association test
原典	Gunel, E., & Dickey, J. (1974). Bayes factors for independence in contingency tables. Biometrika, 61(3), 545–557.	Good, I. J. (1967). A Bayesian significance test for multinomial distributions. Journal of the Royal Statistical Society: Series B (Methodological), 29(3), 399–418.
別名	Bayesian chi-square test, Bayesian contingency table test, Bayes factor association test, Bayesian crosstab analysis	Bayesian contingency table test, Bayes factor chi-square, Bayesian goodness-of-fit test, Bayesian association test
関連	4	3
概要	Bayesian cross-tabulation analysis tests whether two categorical variables are associated by computing a Bayes factor that quantifies the evidence for an association model against an independence model. Unlike classical chi-square testing, it provides a continuous measure of evidence, supports the null hypothesis directly, and updates naturally with prior knowledge about the cell probabilities.	The Bayesian chi-square test evaluates independence or goodness-of-fit in frequency tables using Bayes factors rather than classical p-values. It quantifies evidence for or against an association between categorical variables, updating prior beliefs with observed counts and delivering an odds-like ratio that distinguishes 'no evidence' from 'evidence of no effect'.