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Bayesian MANOVA×Bayes'i sõltumatute valimite t-test×
ValdkondStatistikaStatistika
PerekondHypothesis testHypothesis test
Tekkeaasta1970s–2010s2009 (modern form); 1961 (Jeffreys prior framework)
LoojaBayesian framework applied to MANOVA; foundational multivariate Bayesian work by Dickey (1974) and Rouder et al. (2012)Harold Jeffreys (foundational); operationalized by Rouder et al.
TüüpBayesian multivariate group comparisonBayesian hypothesis test
AlgallikasOlkin, I., & Rubin, H. (1964). Multivariate beta distributions and independence properties of the Wishart distribution. The Annals of Mathematical Statistics, 35(1), 261–269. DOI ↗Rouder, J. N., Speckman, P. L., Sun, D., Morey, R. D., & Iverson, G. (2009). Bayesian t tests for accepting and rejecting the null hypothesis. Psychonomic Bulletin & Review, 16(2), 225–237. DOI ↗
RööpnimetusedBayesian MANOVA, Bayesian multivariate ANOVA, BF-MANOVA, Bayesian multivariate group comparisonBayesian two-sample t-test, Bayes factor t-test, JZS t-test, Bayesian unpaired t-test
Seotud53
KokkuvõteBayesian 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.The Bayesian independent samples t-test quantifies evidence for or against a mean difference between two independent groups using a Bayes factor rather than a p-value. Rooted in Jeffreys's probability framework and popularized by Rouder et al. (2009), it places a Cauchy prior on the standardized effect size and returns continuous evidence for both the null and alternative hypotheses.
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ScholarGateVõrdle meetodeid: Bayesian MANOVA · Bayesian Independent Samples t-test. Loetud 2026-06-18 aadressilt https://scholargate.app/et/compare