قارن الطرق

	تحليل التباين المتعدد البايزي	اختبار ت بايزي للعينات المستقلة
المجال	الإحصاء	الإحصاء
العائلة	Hypothesis test	Hypothesis test
سنة النشأة	1970s–2010s	2009 (modern form); 1961 (Jeffreys prior framework)
صاحب الطريقة	Bayesian framework applied to MANOVA; foundational multivariate Bayesian work by Dickey (1974) and Rouder et al. (2012)	Harold Jeffreys (foundational); operationalized by Rouder et al.
النوع	Bayesian multivariate group comparison	Bayesian hypothesis test
المصدر التأسيسي	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., 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.
الأسماء البديلة	Bayesian MANOVA, Bayesian multivariate ANOVA, BF-MANOVA, Bayesian multivariate group comparison	Bayesian two-sample t-test, Bayes factor t-test, JZS t-test, Bayesian unpaired t-test
ذات صلة	5	3
الملخص	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.	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.