方法对比

	贝叶斯交叉制表分析	卡方独立性检验
领域	统计学	统计学
方法族	Hypothesis test	Hypothesis test
起源年份	1974	1900
提出者	Gunel & Dickey	Karl Pearson
类型	Bayesian association test	Nonparametric test of association
开创性文献	Gunel, E., & Dickey, J. (1974). Bayes factors for independence in contingency tables. Biometrika, 61(3), 545–557.	Pearson, K. (1900). On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophical Magazine, 50(302), 157–175.
别名	Bayesian chi-square test, Bayesian contingency table test, Bayes factor association test, Bayesian crosstab analysis	chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi
相关	4	2
摘要	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 chi-square test of independence is a nonparametric hypothesis test that examines whether two categorical variables are associated by comparing observed and expected frequencies in a cross-tabulation. It rests on the chi-square criterion introduced by Karl Pearson in 1900.