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Testul Factorului Bayes×Testul t pentru eșantioane independente×Metoda Monte Carlo cu Lanțuri Markov (MCMC)×
DomeniuBayesianStatisticăBayesian
FamilieBayesian methodsHypothesis testBayesian methods
Anul apariției19611908
Autorul originalHarold JeffreysStudent (W. S. Gosset)
TipBayesian hypothesis comparisonParametric mean comparisonPosterior sampling algorithm
Sursa seminalăJeffreys, 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
Denumiri alternativebayes 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)
Înrudite343
RezumatThe 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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ScholarGateCompară metode: Bayes Factor Test · Independent t-test · MCMC. Preluat la 2026-06-19 de pe https://scholargate.app/ro/compare