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Бајесовска ANOVA×Bejzijevska regresija×Markov Chain Monte Carlo (MCMC)×
OblastBajesovska statistikaBajesovska statistikaBajesovska statistika
PorodicaBayesian methodsBayesian methodsBayesian methods
Godina nastanka2012
TvoracRouder, Morey, Speckman & Province
TipBayesian hypothesis test / group comparisonBayesian linear modelPosterior sampling algorithm
Temeljni izvorRouder, 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 ↗Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
Drugi nazivibayesian analysis of variance, bayes factor ANOVA, JZS ANOVA, Bayesçi ANOVA — Bayes Faktörü ile Grup Karşılaştırmasıbayesian linear regression, probabilistic regression, bayesian regresyonmarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
Srodne423
SažetakBayesian ANOVA, formalised by Rouder, Morey, Speckman and Province (2012), tests whether group means differ by quantifying the evidence for the alternative hypothesis relative to the null using the Bayes Factor (BF₁₀). Unlike classical ANOVA, it can also measure evidence in favour of the null hypothesis, making it equally informative when groups do not differ.Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off.Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model.
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ScholarGateUporedite metode: Bayesian ANOVA · Bayesian Regression · MCMC. Preuzeto 2026-06-17 sa https://scholargate.app/sr/compare