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| シェフェー検定× | 一元配置分散分析× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1953 | 1925 |
| 提唱者≠ | Henry Scheffé | Ronald A. Fisher |
| 種類≠ | Post-hoc multiple comparison test | Parametric mean comparison |
| 原典≠ | Scheffé, H. (1953). A method for judging all contrasts in the analysis of variance. Biometrika, 40(1–2), 87–110. DOI ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| 別名≠ | Scheffe test, Scheffe method, Scheffé post-hoc test, S-method | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| 関連≠ | 3 | 4 |
| 概要≠ | The Scheffé test is a post-hoc multiple comparison procedure that controls the family-wise error rate simultaneously for all possible linear contrasts among group means following a significant ANOVA. Introduced by Henry Scheffé in his landmark 1953 Biometrika paper, it is the most general and conservative standard post-hoc method, remaining valid regardless of how many or which contrasts are examined after seeing the data. | One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925. |
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