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Hypothesis test

多元方差分析 (MANOVA)

MANOVA是一种参数假设检验,可同时比较多个连续因变量的组均值,并控制因进行单独方差分析而可能导致的I类错误膨胀。关键的多元检验统计量——Wilks' Lambda(威尔克斯Λ)、Pillai's Trace(皮莱迹)、Hotelling-Lawley Trace(霍特林-劳利迹)和Roy's Greatest Root(罗伊最大根)——开发于20世纪30年代至50年代,其中Wilks' Lambda由Samuel Stanley Wilks于1932年正式提出。

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来源

  1. Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574
  2. Field, A. (2013). Discovering Statistics Using IBM SPSS Statistics (4th ed.). SAGE. ISBN: 978-1446249185

如何引用本页

ScholarGate. (2026, June 1). Multivariate Analysis of Variance. ScholarGate. https://scholargate.app/zh/statistics/manova

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被引用于

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