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| Holm補正(Holm-Bonferroni法)× | 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≠ | 1979 | 1925 |
| 提唱者≠ | Sture Holm | Ronald A. Fisher |
| 種類≠ | Family-wise error rate (FWER) correction | Parametric mean comparison |
| 原典≠ | Holm, S. (1979). A simple sequentially rejective multiple test procedure. Scandinavian Journal of Statistics, 6(2), 65–70. link ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| 別名 | Holm-Bonferroni method, Holm step-down procedure, Holm's sequentially rejective procedure, Holm düzeltmesi | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| 関連≠ | 3 | 4 |
| 概要≠ | The Holm correction, introduced by Sture Holm in 1979, is a step-down multiple-comparison procedure that controls the family-wise error rate (FWER) at level α while rejecting at least as many hypotheses as the classical Bonferroni correction. It orders the observed p-values from smallest to largest and compares each against a threshold that starts strict and relaxes as testing proceeds, making it uniformly more powerful than Bonferroni at the same level of error control. | 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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