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| Envejs variansanalyse× | Welchs variansanalyse× | |
|---|---|---|
| Fagområde | Statistik | Statistik |
| Familie | Hypothesis test | Hypothesis test |
| Oprindelsesår≠ | 1925 | 1951 |
| Ophavsperson≠ | Ronald A. Fisher | B. L. Welch |
| Type≠ | Parametric mean comparison | Parametric mean comparison (heteroscedastic) |
| Oprindelig kilde≠ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ | Welch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336. link ↗ |
| Aliasser≠ | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA | Welch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVA |
| Relaterede≠ | 4 | 3 |
| Resumé≠ | 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 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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