विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| वेल्च का विचरण विश्लेषण (Welch's Analysis of Variance)× | क्रुस्कल-वालिस H परीक्षण× | वेल्च की टी-परीक्षा (असमान प्रसरण)× | |
|---|---|---|---|
| क्षेत्र | सांख्यिकी | सांख्यिकी | सांख्यिकी |
| परिवार | Hypothesis test | Hypothesis test | Hypothesis test |
| उद्भव वर्ष≠ | 1951 | 1952 | 1947 |
| प्रवर्तक≠ | B. L. Welch | William Kruskal & W. Allen Wallis | B. L. Welch |
| प्रकार≠ | Parametric mean comparison (heteroscedastic) | Nonparametric group comparison | Parametric mean comparison (unequal variances) |
| मौलिक स्रोत≠ | Welch, 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 ↗ | Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗ |
| उपनाम≠ | Welch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVA | Kruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis Testi | unequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans) |
| संबंधित≠ | 3 | 5 | 4 |
| सारांश≠ | Welch 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. | 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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