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Dvojsmerna analiza varijanse (Two-Way ANOVA)×Analiza kovarijacije (ANCOVA)×H-test po Kruskal-Valisu×Višestruka analiza kovarijanse (MANOVA)×
OblastStatistikaStatistikaStatistikaStatistika
PorodicaHypothesis testHypothesis testHypothesis testHypothesis test
Godina nastanka1925193219521932
TvoracRonald A. FisherRonald A. FisherWilliam Kruskal & W. Allen WallisSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)
TipParametric factorial mean comparisonParametric group comparison with covariate controlNonparametric group comparisonParametric multivariate mean comparison
Temeljni izvorMontgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Kruskal, W. H. & Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 47(260), 583–621. DOI ↗Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574
Drugi nazivifactorial ANOVA, two-factor ANOVA, İki Yönlü ANOVAanalysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)Kruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis TestiMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)
Srodne6455
SažetakTwo-Way ANOVA is a parametric hypothesis test that simultaneously examines the main effects of two independent categorical factors and their interaction effect on a single continuous dependent variable. The technique was developed within the broader framework of the analysis of variance established by Ronald A. Fisher in 1925 and remains the standard approach whenever an experiment or survey includes exactly two between-subjects factors.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).The Kruskal-Wallis H test is a nonparametric hypothesis test that compares three or more independent groups to decide whether their distributions (typically their medians) differ. Introduced by William Kruskal and W. Allen Wallis in 1952, it works on ranks rather than raw values and is the distribution-free counterpart to one-way ANOVA.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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ScholarGateUporedite metode: Two-Way ANOVA · ANCOVA · Kruskal-Wallis test · MANOVA. Preuzeto 2026-06-20 sa https://scholargate.app/sr/compare