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| 独立標本t検定× | 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≠ | 1908 | 1947 |
| 提唱者≠ | Student (W. S. Gosset) | B. L. Welch |
| 種類≠ | Parametric mean comparison | Parametric mean comparison (unequal variances) |
| 原典≠ | Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗ | 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≠ | student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi | unequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans) |
| 関連 | 4 | 4 |
| 概要≠ | The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances. | 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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