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| 范德瓦尔登正态分数检验× | Jonckheere-Terpstra检验有序备择假设× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份 | 1952 | 1952 |
| 提出者≠ | Bartel Leendert van der Waerden | A. R. Jonckheere and T. J. Terpstra |
| 类型≠ | Nonparametric k-sample comparison via normal scores | Nonparametric trend test |
| 开创性文献≠ | van der Waerden, B.L. (1952). Order Tests for the Two-Sample Problem and Their Power. Indagationes Mathematicae, 14, 453–458. link ↗ | Jonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives. Biometrika, 41(1-2), 133–145. DOI ↗ |
| 别名≠ | normal scores test, Van der Waerden k-sample test, Van der Waerden Testi — Normal Skor | Jonckheere-Terpstra Testi, JT test, ordered k-sample test, trend test for ordered groups |
| 相关≠ | 6 | 5 |
| 摘要≠ | The Van der Waerden test is a nonparametric k-sample hypothesis test that converts observations into normal scores — the quantiles of a standard normal distribution — before comparing groups. Introduced by Bartel Leendert van der Waerden in 1952, it can achieve higher statistical power than the Kruskal-Wallis test when the underlying distributions are symmetric, making it a compelling bridge between rank-based and parametric methods. | 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. |
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