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| Jonckheere-Terpstra检验有序备择假设× | Mann-Whitney U 检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1952 | 1947 |
| 提出者≠ | A. R. Jonckheere and T. J. Terpstra | H. B. Mann & D. R. Whitney |
| 类型≠ | Nonparametric trend test | Nonparametric two-group comparison |
| 开创性文献≠ | Jonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives. Biometrika, 41(1-2), 133–145. 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≠ | Jonckheere-Terpstra Testi, JT test, ordered k-sample test, trend test for ordered groups | Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi |
| 相关≠ | 5 | 4 |
| 摘要≠ | The Jonckheere-Terpstra test is a nonparametric hypothesis test that detects a monotone trend across k ordered groups — testing whether the outcome rises (or falls) systematically as the group order increases. Developed independently by T. J. Terpstra (1952) and A. R. Jonckheere (1954), it is the directional, ordered-alternative counterpart to the Kruskal-Wallis test. | 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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