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MANCOVA (Analyse Multivariée de la Covariance)×Analyse de variance à un facteur×Test t de Welch (variances inégales)×
DomaineStatistiqueStatistiqueStatistique
FamilleHypothesis testHypothesis testHypothesis test
Année d'origine197019251947
Auteur d'origineExtension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sRonald A. FisherB. L. Welch
TypeParametric multivariate mean comparison with covariate controlParametric mean comparisonParametric mean comparison (unequal variances)
Source fondatriceTabachnick, B. G. & Fidell, L. S. (2019). Using Multivariate Statistics (7th ed.). Pearson. ISBN: 978-0134790541Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗
AliasMANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analizione-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVAunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)
Apparentées544
RésuméMANCOVA (Multivariate Analysis of Covariance) is a parametric hypothesis test that simultaneously compares two or more groups on multiple continuous dependent variables while statistically controlling for one or more covariates. It extends MANOVA by incorporating covariate adjustment, a tradition consolidated in multivariate statistical methodology by the 1970s and authoritatively documented by Tabachnick and Fidell (2019).One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925.Welch's t-test is a parametric hypothesis test that compares the means of two independent groups without assuming their variances are equal. It was introduced by B. L. Welch in 1947 as a more robust generalization of Student's two-sample test for situations where the two groups have different spread.
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ScholarGateComparer des méthodes: MANCOVA · One-way ANOVA · Welch t-test. Consulté le 2026-06-20 sur https://scholargate.app/fr/compare