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| 順序代替仮説に対するJonckheere-Terpstra検定× | スペルマン順位相関係数× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1952 | 1904 |
| 提唱者≠ | A. R. Jonckheere and T. J. Terpstra | Charles Spearman |
| 種類≠ | Nonparametric trend test | Nonparametric rank-based correlation |
| 原典≠ | Jonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives. Biometrika, 41(1-2), 133–145. DOI ↗ | Spearman, C. (1904). The proof and measurement of association between two things. The American Journal of Psychology, 15, 72–101. DOI ↗ |
| 別名≠ | Jonckheere-Terpstra Testi, JT test, ordered k-sample test, trend test for ordered groups | Spearman's rho, Spearman rank-order correlation, Spearman Sıra Korelasyonu |
| 関連≠ | 5 | 4 |
| 概要≠ | 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 Spearman rank correlation coefficient (ρ) is a nonparametric measure of the monotonic association between two variables. Introduced by Charles Spearman in 1904, it converts raw observations to ranks and measures how consistently one variable increases as the other increases, without assuming a normal distribution or a linear relationship. |
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