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| Games-Howell Post-Hoc Test× | Welchs variansanalyse× | |
|---|---|---|
| Fagområde | Statistik | Statistik |
| Familie | Hypothesis test | Hypothesis test |
| Oprindelsesår≠ | 1976 | 1951 |
| Ophavsperson≠ | Paul A. Games & John F. Howell | B. L. Welch |
| Type≠ | Parametric pairwise comparison | Parametric mean comparison (heteroscedastic) |
| Oprindelig kilde≠ | Games, P. A. & Howell, J. F. (1976). Pairwise multiple comparison procedures with unequal N's and/or variances: A Monte Carlo study. Journal of Educational Statistics, 1(2), 113–125. DOI ↗ | Welch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336. link ↗ |
| Aliasser | Games-Howell post-hoc, Games-Howell procedure, Games-Howell Post-Hoc Testi | Welch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVA |
| Relaterede≠ | 4 | 3 |
| Resumé≠ | The Games-Howell test is a parametric post-hoc multiple comparison procedure that identifies which pairs of group means differ significantly after an omnibus ANOVA reveals a significant overall effect. Proposed by Games and Howell in 1976, it is specifically designed for situations where group variances and/or sample sizes are unequal, making it the recommended alternative to Tukey HSD whenever Levene's test signals heteroscedasticity. | 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. |
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