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| ANOVA unidirezionale robusta× | Analisi della Varianza a una Via× | |
|---|---|---|
| Campo | Statistica | Statistica |
| Famiglia | Hypothesis test | Hypothesis test |
| Anno di origine≠ | 1951 (Welch); 1990s–2000s (trimmed-mean variants) | 1925 |
| Ideatore≠ | B. L. Welch; R. R. Wilcox (trimmed-mean extension) | Ronald A. Fisher |
| Tipo≠ | Robust parametric group comparison | Parametric mean comparison |
| Fonte seminale≠ | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| Alias | trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| Correlati≠ | 2 | 4 |
| Sintesi≠ | Robust one-way ANOVA compares the central tendency of three or more independent groups while resisting the distorting effects of outliers and heterogeneous variances. By replacing ordinary means with trimmed means and ordinary variances with Winsorized variances, it maintains accurate Type I error control and strong power when classical ANOVA assumptions are violated. | 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. |
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