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| تحليل التباين لويلش (Welch's Analysis of Variance)× | تحليل التباين أحادي الاتجاه× | |
|---|---|---|
| المجال | الإحصاء | الإحصاء |
| العائلة | Hypothesis test | Hypothesis test |
| سنة النشأة≠ | 1951 | 1925 |
| صاحب الطريقة≠ | B. L. Welch | Ronald A. Fisher |
| النوع≠ | Parametric mean comparison (heteroscedastic) | Parametric mean comparison |
| المصدر التأسيسي≠ | Welch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336. link ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| الأسماء البديلة≠ | Welch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVA | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| ذات صلة≠ | 3 | 4 |
| الملخص≠ | 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. | 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. |
| ScholarGateمجموعة البيانات ↗ |
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