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| Robust MANOVA× | RobustowaANOVA dla pomiarów powtarzanych× | |
|---|---|---|
| Dziedzina | Statystyka | Statystyka |
| Rodzina | Hypothesis test | Hypothesis test |
| Rok powstania | 1990s–2000s | 1990s–2000s |
| Twórca≠ | Rand Wilcox; Lisa Lix and H. J. Keselman | Rand R. Wilcox |
| Typ≠ | Robust multivariate mean comparison | Robust parametric mean comparison |
| Źródło pierwotne | 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 |
| Inne nazwy | robust multivariate ANOVA, trimmed-mean MANOVA, outlier-resistant MANOVA, robust MANOVA | robust within-subjects ANOVA, trimmed-mean repeated measures ANOVA, robust RM-ANOVA, heteroscedastic repeated measures ANOVA |
| Pokrewne≠ | 5 | 6 |
| Podsumowanie≠ | Robust MANOVA is a multivariate analysis of variance procedure designed to remain valid when classical assumptions — multivariate normality and homogeneity of covariance matrices — are violated. It replaces raw means and standard covariance matrices with resistant estimates such as trimmed means and Winsorized covariances, yielding reliable Type I error control and power in the presence of outliers and skewed distributions across multiple dependent variables simultaneously. | Robust repeated measures ANOVA tests whether population trimmed means differ across three or more repeated conditions or time points measured on the same subjects. By replacing ordinary means with 20% trimmed means and replacing variances with Winsorized estimates, it maintains acceptable Type I error and power when data are non-normal, skewed, or contain outliers — conditions under which classical repeated measures ANOVA routinely breaks down. |
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