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| Тест на Крускал-Уолис H× | Еднофакторен дисперсионен анализ× | t-тест на Уелч (неравни дисперсии)× | |
|---|---|---|---|
| Област | Статистика | Статистика | Статистика |
| Семейство | Hypothesis test | Hypothesis test | Hypothesis test |
| Година на възникване≠ | 1952 | 1925 | 1947 |
| Създател≠ | William Kruskal & W. Allen Wallis | Ronald A. Fisher | B. L. Welch |
| Тип≠ | Nonparametric group comparison | Parametric mean comparison | Parametric mean comparison (unequal variances) |
| Основополагащ източник≠ | Kruskal, W. H. & Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 47(260), 583–621. DOI ↗ | 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 ↗ |
| Други названия≠ | Kruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis Testi | 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) |
| Свързани≠ | 5 | 4 | 4 |
| Резюме≠ | The Kruskal-Wallis H test is a nonparametric hypothesis test that compares three or more independent groups to decide whether their distributions (typically their medians) differ. Introduced by William Kruskal and W. Allen Wallis in 1952, it works on ranks rather than raw values and is the distribution-free counterpart to one-way ANOVA. | 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. |
| ScholarGateНабор от данни ↗ |
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