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| Jonckheere-Terpstra检验有序备择假设× | Friedman 检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1952 | 1937 |
| 提出者≠ | A. R. Jonckheere and T. J. Terpstra | Milton Friedman |
| 类型≠ | Nonparametric trend test | Nonparametric repeated-measures comparison (by ranks) |
| 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 ↗ | Friedman, M. (1937). The use of ranks to avoid the assumption of normality implicit in the analysis of variance. Journal of the American Statistical Association, 32(200), 675–701. DOI ↗ |
| 别名≠ | Jonckheere-Terpstra Testi, JT test, ordered k-sample test, trend test for ordered groups | Friedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi |
| 相关≠ | 5 | 2 |
| 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 Friedman test is a nonparametric hypothesis test that compares three or more related conditions measured on the same blocks or subjects, serving as the rank-based alternative to repeated-measures ANOVA. It was introduced by Milton Friedman in 1937 and works on ordinal or continuous data without assuming normality. |
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