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Višestruka analiza kovarijanse (MANOVA)×Analiza kovarijacije (ANCOVA)×Diskriminativna analiza×Nezavisni t-test za uzorke×
OblastStatistikaStatistikaStatistikaStatistika
PorodicaHypothesis testHypothesis testLatent structureHypothesis test
Godina nastanka1932193219361908
TvoracSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)Ronald A. FisherRonald A. FisherStudent (W. S. Gosset)
TipParametric multivariate mean comparisonParametric group comparison with covariate controlSupervised classification and dimension reductionParametric mean comparison
Temeljni izvorTabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Tabachnick, 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 ↗Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗
Drugi naziviMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysisstudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi
Srodne5444
SažetakMANOVA 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.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.The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances.
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ScholarGateUporedite metode: MANOVA · ANCOVA · Discriminant Analysis · Independent t-test. Preuzeto 2026-06-20 sa https://scholargate.app/sr/compare