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क्रुस्कल-वालिस H परीक्षण×बहुभिन्नरूपी प्रसरण विश्लेषण (MANOVA)×
क्षेत्रसांख्यिकीसांख्यिकी
परिवारHypothesis testHypothesis test
उद्भव वर्ष19521932
प्रवर्तकWilliam Kruskal & W. Allen WallisSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)
प्रकारNonparametric group comparisonParametric multivariate mean comparison
मौलिक स्रोतKruskal, 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
उपनामKruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis TestiMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)
संबंधित55
सारांशThe 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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