So sánh phương pháp

	Phân tích phương sai lặp lại (Robust Repeated Measures ANOVA)	Robust MANOVA
Lĩnh vực	Thống kê	Thống kê
Họ	Hypothesis test	Hypothesis test
Năm ra đời	1990s–2000s	1990s–2000s
Người khởi xướng	Rand R. Wilcox	Rand Wilcox; Lisa Lix and H. J. Keselman
Loại	Robust parametric mean comparison	Robust multivariate mean comparison
Công trình gốc	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
Tên gọi khác	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
Liên quan	6	5
Tóm tắt	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.