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ANOVA Satu Hala Bayesian×ANOVA Dua Hala Bayesian×
BidangStatistikStatistik
KeluargaHypothesis testHypothesis test
Tahun asal1961 (foundations); 2012 (ANOVA Bayes factors)1961 (foundations); 2012 (default Bayes factor formulation)
PengasasHarold Jeffreys (foundations); Jeffrey Rouder et al. (default priors for ANOVA)Harold Jeffreys (foundational); modern default-prior form by Jeffrey N. Rouder et al.
JenisBayesian hypothesis testBayesian hypothesis test
Sumber perintisRouder, 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 ↗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. DOI ↗
AliasBayesian ANOVA, BF ANOVA, Bayes factor one-way ANOVA, Bayesian F-testBayesian factorial ANOVA, Bayes factor two-way ANOVA, Bayesian 2×k ANOVA, Bayesian two-factor ANOVA
Berkaitan34
RingkasanBayesian 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.
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ScholarGateBandingkan kaedah: Bayesian one-way ANOVA · Bayesian two-way ANOVA. Dicapai 2026-06-17 daripada https://scholargate.app/ms/compare