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	Test di Mann-Whitney U Bayesiano	Test t di Bayes per campioni indipendenti
Campo	Statistica	Statistica
Famiglia	Hypothesis test	Hypothesis test
Anno di origine	2020 (Bayesian formulation); 1947 (classical test)	2009 (modern form); 1961 (Jeffreys prior framework)
Ideatore	van Doorn, Ly, Marsman, Wagenmakers (building on Mann & Whitney 1947)	Harold Jeffreys (foundational); operationalized by Rouder et al.
Tipo	Bayesian nonparametric two-sample test	Bayesian hypothesis test
Fonte seminale	van Doorn, J., Ly, A., Marsman, M., & Wagenmakers, E.-J. (2020). Bayesian rank-based hypothesis testing for the rank sum test, the signed rank test, and Spearman's rho. Journal of Applied Statistics, 47(16), 2984–3006.	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.
Alias	Bayesian rank-sum test, Bayesian Wilcoxon rank-sum test, Bayesian nonparametric two-sample test	Bayesian two-sample t-test, Bayes factor t-test, JZS t-test, Bayesian unpaired t-test
Correlati	3	3
Sintesi	The Bayesian Mann-Whitney U test is a nonparametric Bayesian procedure for comparing two independent groups when data are ordinal or non-normal continuous. Instead of a binary reject/fail-to-reject decision, it quantifies the relative evidence for the null and alternative hypotheses through a Bayes factor, allowing researchers to conclude in favour of either hypothesis or express uncertainty.	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.