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Divu faktoru dispersijas analīze (Divu faktoru ANOVA)×Kovariācijas analīze (ANCOVA)×Kruskal-Wallis H tests×Daudzvarianto dispersijas analīze (MANOVA)×
NozareStatistikaStatistikaStatistikaStatistika
SaimeHypothesis testHypothesis testHypothesis testHypothesis test
Izcelsmes gads1925193219521932
AutorsRonald A. FisherRonald A. FisherWilliam Kruskal & W. Allen WallisSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)
TipsParametric factorial mean comparisonParametric group comparison with covariate controlNonparametric group comparisonParametric multivariate mean comparison
PirmavotsMontgomery, 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
Citi nosaukumifactorial 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)
Saistītās6455
KopsavilkumsTwo-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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ScholarGateSalīdzināt metodes: Two-Way ANOVA · ANCOVA · Kruskal-Wallis test · MANOVA. Izgūts 2026-06-20 no https://scholargate.app/lv/compare