مقایسهٔ روش‌ها

	تحلیل کوواریانس بیزی (Bayesian ANCOVA)	Bayesian MANOVA
حوزه	آمار	آمار
خانواده	Hypothesis test	Hypothesis test
سال پیدایش	2012 (formalized; Bayesian general linear models since 1960s)	1970s–2010s
پدیدآور	Building on Jeffreys (1961) and developed formally for regression/ANCOVA by Rouder & Morey (2012)	Bayesian framework applied to MANOVA; foundational multivariate Bayesian work by Dickey (1974) and Rouder et al. (2012)
نوع	Bayesian parametric covariate-adjusted group comparison	Bayesian multivariate group comparison
منبع بنیادین	Rouder, J. N., & Morey, R. D. (2012). Default Bayes factors for model selection in regression. Multivariate Behavioral Research, 47(6), 877–903.	Olkin, I., & Rubin, H. (1964). Multivariate beta distributions and independence properties of the Wishart distribution. The Annals of Mathematical Statistics, 35(1), 261–269.
نام‌های دیگر	Bayesian ANCOVA, Bayesian analysis of covariance, B-ANCOVA, Bayesian covariate-adjusted group comparison	Bayesian MANOVA, Bayesian multivariate ANOVA, BF-MANOVA, Bayesian multivariate group comparison
مرتبط	5	5
خلاصه	Bayesian Analysis of Covariance (Bayesian ANCOVA) extends classical ANCOVA by placing prior distributions on group effects and covariate slopes, then updating them with observed data to obtain posterior distributions and Bayes factors. It quantifies evidence for group differences on a continuous outcome after statistically adjusting for one or more continuous covariates, without relying on p-value thresholds.	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.