مقایسهٔ روش‌ها

	MANOVA مقاوم (Robust MANOVA)	آنکوا (ANCOVA) مقاوم
حوزه	آمار	آمار
خانواده	Hypothesis test	Hypothesis test
سال پیدایش	1990s–2000s	1990s–2000s
پدیدآور	Rand Wilcox; Lisa Lix and H. J. Keselman	Rand R. Wilcox and colleagues
نوع	Robust multivariate mean comparison	Robust parametric covariate-adjusted comparison
منبع بنیادین	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
نام‌های دیگر	robust multivariate ANOVA, trimmed-mean MANOVA, outlier-resistant MANOVA, robust MANOVA	robust ANCOVA, heteroscedastic ANCOVA, trimmed-mean ANCOVA, resistant ANCOVA
مرتبط	5	4
خلاصه	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 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.