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贝叶斯多元方差分析 (Bayesian MANOVA)

贝叶斯多元方差分析 (Bayesian MANOVA) 通过用贝叶斯推断取代零假设显著性检验,扩展了经典的 MANOVA 框架。它使用多元组均值和协方差结构的先验分布,用数据更新它们以产生后验分布,并通过贝叶斯因子(Bayes factors)而非 p 值来量化证据。

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来源

  1. Olkin, I., & Rubin, H. (1964). Multivariate beta distributions and independence properties of the Wishart distribution. The Annals of Mathematical Statistics, 35(1), 261–269. DOI: 10.1214/aoms/1177703748
  2. Rouder, J. N., Morey, R. D., Speckman, P. L., & Province, J. M. (2012). Default Bayes factors for ANOVA designs. Journal of Mathematical Psychology, 56(5), 356–374. DOI: 10.1016/j.jmp.2012.08.001

如何引用本页

ScholarGate. (2026, June 3). Bayesian Multivariate Analysis of Variance. ScholarGate. https://scholargate.app/zh/statistics/bayesian-manova

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被引用于

ScholarGateBayesian MANOVA (Bayesian Multivariate Analysis of Variance). 于 2026-06-15 检索自 https://scholargate.app/zh/statistics/bayesian-manova · 数据集: https://doi.org/10.5281/zenodo.20539026