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Regresja bayesowska×Niezależny test t dla prób niezależnychףańcuchy Markowa i symulacje Monte Carlo (MCMC)×
DziedzinaStatystyka bayesowskaStatystykaStatystyka bayesowska
RodzinaBayesian methodsHypothesis testBayesian methods
Rok powstania1908
TwórcaStudent (W. S. Gosset)
TypBayesian linear modelParametric mean comparisonPosterior sampling algorithm
Źródło pierwotneGelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Student (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
Inne nazwybayesian linear regression, probabilistic regression, bayesian regresyonstudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testimarkov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo)
Pokrewne243
PodsumowanieBayesian 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.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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