方法对比
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| Conover-Iman 事后检验× | Friedman 检验× | Friedman检验的Nemenyi事后检验× | |
|---|---|---|---|
| 领域 | 统计学 | 统计学 | 统计学 |
| 方法族≠ | Regression model | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1979 | 1937 | 1963 |
| 提出者≠ | Conover & Iman | Milton Friedman | Peter Nemenyi |
| 类型≠ | Nonparametric post-hoc multiple comparison | Nonparametric repeated-measures comparison (by ranks) | Nonparametric post-hoc multiple comparison |
| 开创性文献≠ | Conover, W. J. & Iman, R. L. (1979). On Multiple-Comparisons Procedures. Technical Report LA-7677-MS, Los Alamos Scientific Laboratory. link ↗ | 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 ↗ | Nemenyi, P. (1963). Distribution-Free Multiple Comparisons. PhD thesis, Princeton University. link ↗ |
| 别名 | Conover-Iman post-hoc test, Conover post-hoc test, Conover-Iman Post-Hoc Testi | Friedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi | Nemenyi Testi — Friedman Post-Hoc, Nemenyi multiple comparison test, Nemenyi procedure |
| 相关≠ | 3 | 2 | 5 |
| 摘要≠ | The Conover-Iman test is a rank-based post-hoc procedure, introduced by Conover and Iman in 1979, that identifies which pairs of groups differ after a significant Kruskal-Wallis or Friedman test. It builds a t-style statistic on the pooled ranks and is generally more powerful than the comparable Dunn 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. | The Nemenyi test is a nonparametric post-hoc multiple comparison procedure introduced by Peter Nemenyi in his 1963 Princeton doctoral thesis. It is applied after a significant Friedman test to identify which specific pairs of conditions differ from each other in a repeated-measures or blocked design. |
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