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| 一元配置分散分析× | Welchのt検定（等分散を仮定しない）× | |
|---|---|---|
| 分野 | 統計学 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1925 | 1947 |
| 提唱者≠ | Ronald A. Fisher | B. L. Welch |
| 種類≠ | Parametric mean comparison | Parametric mean comparison (unequal variances) |
| 原典≠ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ | Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗ |
| 別名≠ | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA | unequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans) |
| 関連 | 4 | 4 |
| 概要≠ | 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. | Welch's t-test is a parametric hypothesis test that compares the means of two independent groups without assuming their variances are equal. It was introduced by B. L. Welch in 1947 as a more robust generalization of Student's two-sample test for situations where the two groups have different spread. |
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