قارن الطرق

	تحليل التباين المتعدد القوي (Robust MANOVA)	تحليل التباين الأحادي الاتجاه المنيع (Robust One-Way ANOVA)
المجال	الإحصاء	الإحصاء
العائلة	Hypothesis test	Hypothesis test
سنة النشأة	1990s–2000s	1951 (Welch); 1990s–2000s (trimmed-mean variants)
صاحب الطريقة	Rand Wilcox; Lisa Lix and H. J. Keselman	B. L. Welch; R. R. Wilcox (trimmed-mean extension)
النوع	Robust multivariate mean comparison	Robust parametric group 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 multivariate ANOVA, trimmed-mean MANOVA, outlier-resistant MANOVA, robust MANOVA	trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA
ذات صلة	5	2
الملخص	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 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.