Methoden vergleichen

	Bayes' Exakter Test nach Fisher	Bayesianer Chi-Quadrat-Test
Fachgebiet	Statistik	Statistik
Familie	Hypothesis test	Hypothesis test
Entstehungsjahr	1974 (Bayesian form); 1935 (Fisher's exact test)	1967
Urheber	Gunel & Dickey (Bayesian form); R. A. Fisher (classical exact test)	I. J. Good; extended by Gunel, Dickey, and Wagenmakers et al.
Typ	Bayesian hypothesis test for independence	Bayesian nonparametric association test
Wegweisende Quelle	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.
Aliasnamen	Bayesian exact test for independence, Bayesian contingency table test, Bayes factor Fisher test, BFexact	Bayesian contingency table test, Bayes factor chi-square, Bayesian goodness-of-fit test, Bayesian association test
Verwandt	4	3
Zusammenfassung	The Bayesian Fisher's exact test evaluates independence between two categorical variables in a 2x2 table by computing a Bayes factor rather than a p-value. Using conjugate priors on cell probabilities — most commonly the Gunel-Dickey framework — it quantifies how much the observed data favor an association model over an independence model, providing a continuous scale of evidence in both directions.	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'.