قارن الطرق

	تحليل التباين الأحادي البايزي	تحليل التباين ثنائي الاتجاه البيزي
المجال	الإحصاء	الإحصاء
العائلة	Hypothesis test	Hypothesis test
سنة النشأة	1961 (foundations); 2012 (ANOVA Bayes factors)	1961 (foundations); 2012 (default Bayes factor formulation)
صاحب الطريقة	Harold Jeffreys (foundations); Jeffrey Rouder et al. (default priors for ANOVA)	Harold Jeffreys (foundational); modern default-prior form by Jeffrey N. Rouder et al.
النوع	Bayesian hypothesis test	Bayesian hypothesis test
المصدر التأسيسي	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.	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.
الأسماء البديلة	Bayesian ANOVA, BF ANOVA, Bayes factor one-way ANOVA, Bayesian F-test	Bayesian factorial ANOVA, Bayes factor two-way ANOVA, Bayesian 2×k ANOVA, Bayesian two-factor ANOVA
ذات صلة	3	4
الملخص	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.	Bayesian two-way ANOVA extends the classical two-way analysis of variance by replacing p-values with Bayes factors and posterior distributions. It quantifies evidence for or against main effects and their interaction using prior-weighted model comparison, yielding conclusions that are directly interpretable in probabilistic terms rather than relying on a fixed significance threshold.