เปรียบเทียบวิธี

	MANOVA แบบทนทาน	การวิเคราะห์ความแปรปรวนร่วมแบบทนทาน (Robust ANCOVA)
สาขาวิชา	สถิติศาสตร์	สถิติศาสตร์
ตระกูล	Hypothesis test	Hypothesis test
ปีกำเนิด	1990s–2000s	1990s–2000s
ผู้ริเริ่ม	Rand Wilcox; Lisa Lix and H. J. Keselman	Rand R. Wilcox and colleagues
ประเภท	Robust multivariate mean comparison	Robust parametric covariate-adjusted comparison
แหล่งต้นตำรับ	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
ชื่อเรียกอื่น	robust multivariate ANOVA, trimmed-mean MANOVA, outlier-resistant MANOVA, robust MANOVA	robust ANCOVA, heteroscedastic ANCOVA, trimmed-mean ANCOVA, resistant ANCOVA
ที่เกี่ยวข้อง	5	4
สรุป	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.