手法を比較

	ロバストANCOVA	頑健な一元配置分散分析
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1990s–2000s	1951 (Welch); 1990s–2000s (trimmed-mean variants)
提唱者	Rand R. Wilcox and colleagues	B. L. Welch; R. R. Wilcox (trimmed-mean extension)
種類	Robust parametric covariate-adjusted comparison	Robust parametric group comparison
原典	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
別名	robust ANCOVA, heteroscedastic ANCOVA, trimmed-mean ANCOVA, resistant ANCOVA	trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA
関連	4	2
概要	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.	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.