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H-критерий Крускала-Уоллиса×U-критерий Манна-Уитни×
ОбластьСтатистикаСтатистика
СемействоHypothesis testHypothesis test
Год появления19521947
Автор методаWilliam Kruskal & W. Allen WallisH. B. Mann & D. R. Whitney
ТипNonparametric group comparisonNonparametric two-group comparison
Основополагающий источникKruskal, 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 ↗Mann, H. B. & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18(1), 50–60. DOI ↗
Другие названияKruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis TestiMann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi
Связанные54
СводкаThe 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.The Mann-Whitney U test is the nonparametric alternative to the independent samples t-test, comparing two independent groups by ranking all observations together rather than relying on their means. It was introduced by H. B. Mann and D. R. Whitney in 1947 and does not require the data to be normally distributed.
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ScholarGateСравнение методов: Kruskal-Wallis test · Mann-Whitney U test. Получено 2026-06-18 из https://scholargate.app/ru/compare