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| Somers' D× | 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≠ | 1962 | 1947 |
| 提唱者≠ | Robert H. Somers | H. B. Mann & D. R. Whitney |
| 種類≠ | Asymmetric ordinal association coefficient | Nonparametric two-group comparison |
| 原典≠ | Somers, R. H. (1962). A new asymmetric measure of association for ordinal variables. American Sociological Review, 27(6), 799–811. 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≠ | Somers D, Somers' delta, d_YX, asymmetric Kendall tau | Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi |
| 関連≠ | 1 | 4 |
| 概要≠ | Somers' D is an asymmetric ordinal association coefficient, introduced by Robert H. Somers in 1962, that quantifies how well one ordinal variable predicts another by measuring the excess of concordant over discordant pairs relative to all pairs that are not tied on the designated independent variable. It is the standard companion to Kendall's tau in ordinal regression and is central to ROC curve analysis and the c-statistic in logistic regression. | 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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