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| Cochran's Q検定× | Friedman test× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1950 | 1937 |
| 提唱者≠ | William G. Cochran | Milton Friedman |
| 種類≠ | Nonparametric proportions comparison | Nonparametric repeated-measures comparison (by ranks) |
| 原典≠ | Cochran, W. G. (1950). The comparison of percentages in matched samples. Biometrika, 37(3–4), 256–266. 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 ↗ |
| 別名 | Cochran Q Testi, Cochran's Q, Q test for related proportions | Friedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi |
| 関連≠ | 4 | 2 |
| 概要≠ | Cochran's Q test is a nonparametric hypothesis test introduced by William G. Cochran in 1950 for comparing proportions across three or more related binary measurements. It extends McNemar's test to the multiple-condition case and is the method of choice when every participant is observed under each condition and the outcome is recorded as a simple success/failure (1/0). | 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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