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| Επαναλαμβανόμενη Ανάλυση Διακύμανσης (Robust Repeated Measures ANOVA)× | Εισαγωγή στην Ανθεκτική Πολυμεταβλητή Ανάλυση Διακύμανσης (Robust MANOVA)× | |
|---|---|---|
| Πεδίο | Στατιστική | Στατιστική |
| Οικογένεια | Hypothesis test | Hypothesis test |
| Έτος προέλευσης | 1990s–2000s | 1990s–2000s |
| Δημιουργός≠ | Rand R. Wilcox | Rand Wilcox; Lisa Lix and H. J. Keselman |
| Τύπος≠ | Robust parametric mean comparison | Robust multivariate mean comparison |
| Θεμελιώδης πηγή | 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 |
| Εναλλακτικές ονομασίες | robust within-subjects ANOVA, trimmed-mean repeated measures ANOVA, robust RM-ANOVA, heteroscedastic repeated measures ANOVA | robust multivariate ANOVA, trimmed-mean MANOVA, outlier-resistant MANOVA, robust MANOVA |
| Συναφείς≠ | 6 | 5 |
| Σύνοψη≠ | 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. | 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. |
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