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베이즈 기술 통계×베이지안 카이제곱 검정×
분야통계학통계학
계열Hypothesis testHypothesis test
기원 연도1763/18121967
창시자Thomas Bayes / Pierre-Simon LaplaceI. J. Good; extended by Gunel, Dickey, and Wagenmakers et al.
유형Bayesian parameter estimationBayesian nonparametric association test
원전Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955Good, I. J. (1967). A Bayesian significance test for multinomial distributions. Journal of the Royal Statistical Society: Series B (Methodological), 29(3), 399–418. DOI ↗
별칭Bayesian summaries, posterior descriptives, Bayesian parameter estimation, credible-interval summariesBayesian contingency table test, Bayes factor chi-square, Bayesian goodness-of-fit test, Bayesian association test
관련53
요약Bayesian descriptive statistics summarizes data by combining observed information with prior knowledge through Bayes' theorem, yielding posterior distributions over parameters such as the mean and variance. Instead of point estimates and p-values, results are expressed as posterior means, medians, and credible intervals that carry a direct probability interpretation.The Bayesian chi-square test evaluates independence or goodness-of-fit in frequency tables using Bayes factors rather than classical p-values. It quantifies evidence for or against an association between categorical variables, updating prior beliefs with observed counts and delivering an odds-like ratio that distinguishes 'no evidence' from 'evidence of no effect'.
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