方法对比
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| Siegel-Tukey 检验（用于尺度差异）× | Mann-Whitney U 检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1960 | 1947 |
| 提出者≠ | Sidney Siegel & John W. Tukey | H. B. Mann & D. R. Whitney |
| 类型≠ | Nonparametric scale comparison | Nonparametric two-group comparison |
| 开创性文献≠ | Siegel, S. & Tukey, J. W. (1960). A Nonparametric Sum of Ranks Procedure for Relative Spread in Unpaired Samples. Journal of the American Statistical Association, 55(291), 429–444. 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 ↗ |
| 别名 | Siegel-Tukey rank test, nonparametric scale test, Siegel-Tukey Testi — Ölçek Farklılığı | Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi |
| 相关≠ | 2 | 4 |
| 摘要≠ | The Siegel-Tukey test is a nonparametric hypothesis test that detects differences in variability (spread) between two independent groups whose central tendencies are equal or have been equalised. Introduced by Sidney Siegel and John W. Tukey in 1960, it is the nonparametric counterpart of Levene's test and requires no assumption of normality. | 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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