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Analýza kovariance (ANCOVA)×Hotellingův T² test×Multivariační analýza rozptylu (MANOVA)×
OborStatistikaStatistikaStatistika
RodinaHypothesis testHypothesis testHypothesis test
Rok vzniku193219311932
TvůrceRonald A. FisherHarold HotellingSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)
TypParametric group comparison with covariate controlMultivariate parametric mean comparisonParametric multivariate mean comparison
Původní zdrojTabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574
Další názvyanalysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)
Příbuzné465
ShrnutíANCOVA is a parametric hypothesis test that compares the adjusted means of two or more independent groups while statistically controlling for one or more continuous covariates. By removing the portion of outcome variance explained by the covariate, ANCOVA increases statistical precision and produces fairer group comparisons. The method builds on the general linear model framework consolidated by Fisher in the early 1930s and is described comprehensively by Tabachnick and Fidell (2013).Hotelling's T² test is a multivariate parametric hypothesis test that simultaneously compares the mean vectors of two independent groups across multiple continuous outcome variables. It was introduced by Harold Hotelling in 1931 as the direct multivariate generalization of Student's t-test, replacing the scalar mean difference with a vector difference scaled by the pooled variance-covariance matrix.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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ScholarGatePorovnat metody: ANCOVA · Hotelling's T² Test · MANOVA. Získáno 2026-06-19 z https://scholargate.app/cs/compare