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| Page's L 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≠ | 1963 | 1937 |
| 提出者≠ | Ellis Batten Page | Milton Friedman |
| 类型≠ | Nonparametric trend test | Nonparametric repeated-measures comparison (by ranks) |
| 开创性文献≠ | Page, E. B. (1963). Ordered hypotheses for multiple treatments: a significance test for linear ranks. Journal of the American Statistical Association, 58(301), 216–230. 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 | page trend test, page ordered alternatives test, Page L Testi — Sıralı Alternatifler | Friedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi |
| 相关≠ | 1 | 2 |
| 摘要≠ | Page's L test is a nonparametric hypothesis test designed for repeated-measures (randomized complete block) designs in which the researcher has a specific, pre-stated ordering hypothesis across k ≥ 3 conditions. Introduced by Ellis Batten Page in 1963, it is more powerful than the Friedman test when the alternative hypothesis specifies a monotone trend rather than a general difference among conditions. | 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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