مقایسهٔ روش‌ها

	آزمون خی‌دو بیزی	آزمون استقلال کی-دو
حوزه	آمار	آمار
خانواده	Hypothesis test	Hypothesis test
سال پیدایش	1967	1900
پدیدآور	I. J. Good; extended by Gunel, Dickey, and Wagenmakers et al.	Karl Pearson
نوع	Bayesian nonparametric association test	Nonparametric test of association
منبع بنیادین	Good, I. J. (1967). A Bayesian significance test for multinomial distributions. Journal of the Royal Statistical Society: Series B (Methodological), 29(3), 399–418.	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.
نام‌های دیگر	Bayesian contingency table test, Bayes factor chi-square, Bayesian goodness-of-fit test, Bayesian association test	chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi
مرتبط	3	2
خلاصه	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'.	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.