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베이즈 기술 통계×베이즈 독립표본 t-검정×
분야통계학통계학
계열Hypothesis testHypothesis test
기원 연도1763/18122009 (modern form); 1961 (Jeffreys prior framework)
창시자Thomas Bayes / Pierre-Simon LaplaceHarold Jeffreys (foundational); operationalized by Rouder et al.
유형Bayesian parameter estimationBayesian hypothesis 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: 978-1439840955Rouder, J. N., Speckman, P. L., Sun, D., Morey, R. D., & Iverson, G. (2009). Bayesian t tests for accepting and rejecting the null hypothesis. Psychonomic Bulletin & Review, 16(2), 225–237. DOI ↗
별칭Bayesian summaries, posterior descriptives, Bayesian parameter estimation, credible-interval summariesBayesian two-sample t-test, Bayes factor t-test, JZS t-test, Bayesian unpaired t-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 independent samples t-test quantifies evidence for or against a mean difference between two independent groups using a Bayes factor rather than a p-value. Rooted in Jeffreys's probability framework and popularized by Rouder et al. (2009), it places a Cauchy prior on the standardized effect size and returns continuous evidence for both the null and alternative hypotheses.
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