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Тест Бруннера-Мюнцеля×H-критерий Крускала-Уоллиса×
ОбластьСтатистикаСтатистика
СемействоHypothesis testHypothesis test
Год появления20001952
Автор методаEdgar Brunner & Ullrich MunzelWilliam Kruskal & W. Allen Wallis
ТипNonparametric two-sample comparisonNonparametric group comparison
Основополагающий источникBrunner, E. & Munzel, U. (2000). The Nonparametric Behrens-Fisher Problem: Asymptotic Theory and a Small-Sample Approximation. Biometrical Journal, 42(1), 17–25. DOI ↗Kruskal, 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 ↗
Другие названияBrunner-Munzel Testi, generalized Wilcoxon test, nonparametric Behrens-Fisher test, probabilistic index testKruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis Testi
Связанные65
СводкаThe Brunner-Munzel test is a nonparametric two-sample hypothesis test that estimates the probabilistic superiority index P(X < Y) — the probability that a randomly selected observation from one group exceeds a randomly selected observation from the other. Introduced by Brunner and Munzel in 2000 as a solution to the nonparametric Behrens-Fisher problem, it remains valid even when the two groups have unequal variances or differently shaped distributions, making it a robust alternative to the Mann-Whitney U test in heteroscedastic settings.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.
ScholarGateНабор данных
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  2. 3 Источники
  3. PUBLISHED
  1. v1
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ScholarGateСравнение методов: Brunner-Munzel Test · Kruskal-Wallis test. Получено 2026-06-19 из https://scholargate.app/ru/compare