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| 2標本コルモゴロフ・スミルノフ検定× | マン・ホイットニーのU検定× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統≠ | Regression model | Hypothesis test |
| 提唱年≠ | 1948 | 1947 |
| 提唱者≠ | N. V. Smirnov | H. B. Mann & D. R. Whitney |
| 種類≠ | Nonparametric two-sample distribution test | Nonparametric two-group comparison |
| 原典≠ | Smirnov, N. V. (1948). Table for Estimating the Goodness of Fit of Empirical Distributions. Annals of Mathematical Statistics, 19(2), 279-281. 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 | KS two-sample test, two-sample KS test, İki Örneklem Kolmogorov-Smirnov Testi | Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi |
| 関連≠ | 3 | 4 |
| 概要≠ | The two-sample Kolmogorov-Smirnov test is a nonparametric procedure that asks whether two independent groups are drawn from the same continuous distribution. Building on Smirnov's 1948 tables, it compares the empirical cumulative distribution functions (CDFs) of the two samples and uses their maximum absolute distance as the test statistic. | 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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