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| Test Bayesovho faktora× | Nezávislý t-test pre dva výberové súbory× | Markov Chain Monte Carlo (MCMC)× | |
|---|---|---|---|
| Odbor≠ | Bayesovské metódy | Štatistika | Bayesovské metódy |
| Rodina≠ | Bayesian methods | Hypothesis test | Bayesian methods |
| Rok vzniku≠ | 1961 | 1908 | — |
| Tvorca≠ | Harold Jeffreys | Student (W. S. Gosset) | — |
| Typ≠ | Bayesian hypothesis comparison | Parametric mean comparison | Posterior sampling algorithm |
| Pôvodný zdroj≠ | Jeffreys, H. (1961). Theory of Probability (3rd ed.). Clarendon Press / Oxford University Press. ISBN: 978-0198503682 | Student (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 |
| Ďalšie názvy≠ | bayes factor, BF10, Bayesian hypothesis test, Bayes Faktörü — Hipotez Testi | student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi | markov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo) |
| Príbuzné≠ | 3 | 4 | 3 |
| Zhrnutie≠ | The 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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