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稳健多元方差分析 (Robust MANOVA)

稳健多元方差分析 (Robust MANOVA) 是一种多元方差分析程序,旨在当经典假设——多元正态性和协方差矩阵同质性——被违反时仍保持有效。它用稳健的估计量(如截尾均值和温莎化协方差)替代原始均值和标准协方差矩阵,从而在存在异常值和偏态分布的情况下,同时处理多个因变量,实现可靠的I类错误控制和统计功效。

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来源

  1. Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838
  2. Lix, L. M., & Keselman, H. J. (2004). Multivariate tests of means in independent groups designs: Effects of covariance heterogeneity and nonnormality. Evaluation and the Health Professions, 27(1), 45–69. DOI: 10.1177/0163278703261213

如何引用本页

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

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被引用于

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