قارن الطرق

	تحليل التباين للقياسات المتكررة المعزز بالمتانة (Robust Repeated Measures ANOVA)	تحليل التباين المتعدد القوي (Robust MANOVA)
المجال	الإحصاء	الإحصاء
العائلة	Hypothesis test	Hypothesis test
سنة النشأة	1990s–2000s	1990s–2000s
صاحب الطريقة	Rand R. Wilcox	Rand Wilcox; Lisa Lix and H. J. Keselman
النوع	Robust parametric mean comparison	Robust multivariate mean comparison
المصدر التأسيسي	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
الأسماء البديلة	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
ذات صلة	6	5
الملخص	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.