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베이즈 요인 검정×독립 표본 t-검정×마르코프 연쇄 몬테카를로 (MCMC)×
분야베이지안통계학베이지안
계열Bayesian methodsHypothesis testBayesian methods
기원 연도19611908
창시자Harold JeffreysStudent (W. S. Gosset)
유형Bayesian hypothesis comparisonParametric mean comparisonPosterior sampling algorithm
원전Jeffreys, H. (1961). Theory of Probability (3rd ed.). Clarendon Press / Oxford University Press. ISBN: 978-0198503682Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. 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: 978-1439840955
별칭bayes factor, BF10, Bayesian hypothesis test, Bayes Faktörü — Hipotez Testistudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testimarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
관련343
요약The Bayes factor test, formalised by Harold Jeffreys in 1961, is a Bayesian method for comparing two competing hypotheses. Rather than returning a binary reject/retain verdict, it produces a continuous ratio BF₁₀ that quantifies how much more (or less) probable the data are under the alternative hypothesis H₁ than under the null hypothesis H₀.The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances.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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