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| ケンドール順位相関係数× | マン・ホイットニーのU検定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1938 | 1947 |
| 提唱者≠ | Maurice G. Kendall | H. B. Mann & D. R. Whitney |
| 種類≠ | Rank-based association measure | Nonparametric two-group comparison |
| 原典≠ | Kendall, M. G. (1938). A new measure of rank correlation. Biometrika, 30(1–2), 81–93. 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 ↗ |
| 別名≠ | Kendall's tau, Kendall tau-b, tau correlation, Kendall Tau Korelasyonu | Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi |
| 関連 | 4 | 4 |
| 概要≠ | Kendall Tau is a nonparametric rank correlation coefficient introduced by Maurice G. Kendall in 1938 to measure the strength and direction of a monotone association between two ordinal or continuous variables. It is particularly suited to small samples and datasets containing many tied ranks, where the Spearman coefficient can be less stable. | 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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