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| Oberoende stickprovs t-test× | Welch's t-test (ojämlika varianser)× | |
|---|---|---|
| Ämnesområde | Statistik | Statistik |
| Familj | Hypothesis test | Hypothesis test |
| Ursprungsår≠ | 1908 | 1947 |
| Upphovsperson≠ | Student (W. S. Gosset) | B. L. Welch |
| Typ≠ | Parametric mean comparison | Parametric mean comparison (unequal variances) |
| Ursprungskälla≠ | 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 ↗ |
| Alias≠ | 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) |
| Närliggande | 4 | 4 |
| Sammanfattning≠ | 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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