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تحليل التباين لويلش (Welch's Analysis of Variance)×اختبار كروسكال-واليس H×
المجالالإحصاءالإحصاء
العائلةHypothesis testHypothesis test
سنة النشأة19511952
صاحب الطريقةB. L. WelchWilliam Kruskal & W. Allen Wallis
النوعParametric mean comparison (heteroscedastic)Nonparametric group comparison
المصدر التأسيسيWelch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336. link ↗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 ↗
الأسماء البديلةWelch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVAKruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis Testi
ذات صلة35
الملخصWelch ANOVA is a parametric hypothesis test that compares the means of three or more independent groups when their variances are not equal. Introduced by B. L. Welch in 1951, it replaces classic one-way ANOVA whenever the homogeneity-of-variance assumption fails, while still requiring approximately normal data.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.
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ScholarGateقارن الطرق: Welch ANOVA · Kruskal-Wallis test. استُرجع بتاريخ 2026-06-19 من https://scholargate.app/ar/compare