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Wielowymiarowa analiza kowariancji (MANCOVA)×Analiza kowariancji (ANCOVA)×Analiza dyskryminacyjna×Wielowymiarowa analiza wariancji (MANOVA)×
DziedzinaStatystykaStatystykaStatystykaStatystyka
RodzinaHypothesis testHypothesis testLatent structureHypothesis test
Rok powstania1970193219361932
TwórcaExtension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sRonald A. FisherRonald A. FisherSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)
TypParametric multivariate mean comparison with covariate controlParametric group comparison with covariate controlSupervised classification and dimension reductionParametric multivariate mean comparison
Źródło pierwotneTabachnick, B. G. & Fidell, L. S. (2019). Using Multivariate Statistics (7th ed.). Pearson. ISBN: 978-0134790541Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7(2), 179–188. DOI ↗Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574
Inne nazwyMANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analizianalysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysisMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)
Pokrewne5445
PodsumowanieMANCOVA (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).ANCOVA 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).Discriminant analysis finds linear combinations of predictor variables that best separate two or more known groups. It is used both to understand which predictors distinguish the groups and to classify new observations into those groups with minimum error.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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ScholarGatePorównaj metody: MANCOVA · ANCOVA · Discriminant Analysis · MANOVA. Pobrano 2026-06-19 z https://scholargate.app/pl/compare