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| Робастна АНСОВА× | Робастний однофакторний дисперсійний аналіз× | |
|---|---|---|
| Галузь | Статистика | Статистика |
| Родина | Hypothesis test | Hypothesis test |
| Рік появи≠ | 1990s–2000s | 1951 (Welch); 1990s–2000s (trimmed-mean variants) |
| Автор методу≠ | Rand R. Wilcox and colleagues | B. L. Welch; R. R. Wilcox (trimmed-mean extension) |
| Тип≠ | Robust parametric covariate-adjusted comparison | Robust parametric group comparison |
| Основоположне джерело | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 | Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838 |
| Інші назви | robust ANCOVA, heteroscedastic ANCOVA, trimmed-mean ANCOVA, resistant ANCOVA | trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA |
| Пов'язані≠ | 4 | 2 |
| Підсумок≠ | Robust ANCOVA is a covariate-adjusted group comparison that replaces classical ANCOVA's ordinary least squares estimation with resistant methods — typically trimmed means or M-estimators — so that the test retains valid Type I error control and reasonable power when data contain outliers, heavy-tailed distributions, or heteroscedastic errors. | 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. |
| ScholarGateНабір даних ↗ |
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