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ANOVA دوطرفه بیزی×Two-Way ANOVA×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش1961 (foundations); 2012 (default Bayes factor formulation)1925
پدیدآورHarold Jeffreys (foundational); modern default-prior form by Jeffrey N. Rouder et al.Ronald A. Fisher
نوعBayesian hypothesis testParametric factorial mean comparison
منبع بنیادینRouder, 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. DOI ↗Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478
نام‌های دیگرBayesian factorial ANOVA, Bayes factor two-way ANOVA, Bayesian 2×k ANOVA, Bayesian two-factor ANOVAfactorial ANOVA, two-factor ANOVA, İki Yönlü ANOVA
مرتبط46
خلاصهBayesian 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.Two-Way ANOVA is a parametric hypothesis test that simultaneously examines the main effects of two independent categorical factors and their interaction effect on a single continuous dependent variable. The technique was developed within the broader framework of the analysis of variance established by Ronald A. Fisher in 1925 and remains the standard approach whenever an experiment or survey includes exactly two between-subjects factors.
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ScholarGateمقایسهٔ روش‌ها: Bayesian two-way ANOVA · Two-Way ANOVA. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare