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MANOVA robuste×Analyse de la variance multivariée (MANOVA)×
DomaineStatistiqueStatistique
FamilleHypothesis testHypothesis test
Année d'origine1990s–2000s1932
Auteur d'origineRand Wilcox; Lisa Lix and H. J. KeselmanSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)
TypeRobust multivariate mean comparisonParametric multivariate mean comparison
Source fondatriceWilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574
Aliasrobust multivariate ANOVA, trimmed-mean MANOVA, outlier-resistant MANOVA, robust MANOVAMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)
Apparentées55
RésuméRobust MANOVA is a multivariate analysis of variance procedure designed to remain valid when classical assumptions — multivariate normality and homogeneity of covariance matrices — are violated. It replaces raw means and standard covariance matrices with resistant estimates such as trimmed means and Winsorized covariances, yielding reliable Type I error control and power in the presence of outliers and skewed distributions across multiple dependent variables simultaneously.MANOVA is a parametric hypothesis test that simultaneously compares group means across multiple continuous dependent variables, controlling the inflation of Type I error that would result from running separate ANOVAs. Key multivariate test statistics — Wilks' Lambda, Pillai's Trace, Hotelling-Lawley Trace, and Roy's Greatest Root — were developed between the 1930s and 1950s, with Wilks' Lambda formalised by Samuel Stanley Wilks in 1932.
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ScholarGateComparer des méthodes: Robust MANOVA · MANOVA. Consulté le 2026-06-18 sur https://scholargate.app/fr/compare