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	Bayesowska MANOVA	Bayesowska jednoczynnikowa ANOVA
Dziedzina	Statystyka	Statystyka
Rodzina	Hypothesis test	Hypothesis test
Rok powstania	1970s–2010s	1961 (foundations); 2012 (ANOVA Bayes factors)
Twórca	Bayesian framework applied to MANOVA; foundational multivariate Bayesian work by Dickey (1974) and Rouder et al. (2012)	Harold Jeffreys (foundations); Jeffrey Rouder et al. (default priors for ANOVA)
Typ	Bayesian multivariate group comparison	Bayesian hypothesis test
Źródło pierwotne	Olkin, I., & Rubin, H. (1964). Multivariate beta distributions and independence properties of the Wishart distribution. The Annals of Mathematical Statistics, 35(1), 261–269.	Rouder, J. N., Morey, R. D., Speckman, P. L., & Province, J. M. (2012). Default Bayes factors for ANOVA designs. Journal of Mathematical Psychology, 56(5), 356–374.
Inne nazwy	Bayesian MANOVA, Bayesian multivariate ANOVA, BF-MANOVA, Bayesian multivariate group comparison	Bayesian ANOVA, BF ANOVA, Bayes factor one-way ANOVA, Bayesian F-test
Pokrewne	5	3
Podsumowanie	Bayesian Multivariate Analysis of Variance (Bayesian MANOVA) extends the classical MANOVA framework by replacing null-hypothesis significance testing with Bayesian inference. It uses prior distributions on multivariate group means and covariance structures, updates them with data to yield posterior distributions, and quantifies evidence through Bayes factors rather than p-values.	Bayesian one-way ANOVA tests whether the means of three or more independent groups differ by computing a Bayes factor — a ratio that quantifies how much more likely the data are under a model that allows group differences than under the null model that assumes equal means. Unlike the classical F-test, it provides direct evidence for or against the null hypothesis rather than merely rejecting or retaining it.