مقایسهٔ روش‌ها

	MANOVA مقاوم (Robust MANOVA)	ANOVA دوطرفه قوی (Robust Two-Way ANOVA)
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; H. J. Keselman and colleagues
نوع	Robust multivariate mean comparison	Robust parametric mean 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 factorial ANOVA, trimmed-mean two-way ANOVA, heteroscedastic two-way ANOVA, robust 2-way ANOVA
مرتبط	5	3
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 two-way ANOVA tests main effects and interactions of two categorical factors on a continuous outcome using trimmed means and Winsorized variances, providing valid inference when standard ANOVA assumptions — normality, homoscedasticity, and absence of outliers — are violated.