方法对比
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| 独立样本t检验× | Mann-Whitney U 检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1908 | 1947 |
| 提出者≠ | Student (W. S. Gosset) | H. B. Mann & D. R. Whitney |
| 类型≠ | Parametric mean comparison | Nonparametric two-group comparison |
| 开创性文献≠ | Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. 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≠ | student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi | Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi |
| 相关 | 4 | 4 |
| 摘要≠ | The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances. | 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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