مقایسهٔ روشها
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| آزمون H کروسکال-والیس× | آزمون یو مان-ویتنی× | |
|---|---|---|
| حوزه | آمار | آمار |
| خانواده | Hypothesis test | Hypothesis test |
| سال پیدایش≠ | 1952 | 1947 |
| پدیدآور≠ | William Kruskal & W. Allen Wallis | H. B. Mann & D. R. Whitney |
| نوع≠ | Nonparametric group comparison | Nonparametric two-group comparison |
| منبع بنیادین≠ | 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 ↗ | 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 ↗ |
| نامهای دیگر≠ | Kruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis Testi | Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi |
| مرتبط≠ | 5 | 4 |
| خلاصه≠ | 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. | 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. |
| ScholarGateمجموعهداده ↗ |
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