手法を比較

	頑健な一元配置分散分析	ロバスト独立標本t検定
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1951 (Welch); 1990s–2000s (trimmed-mean variants)	1974–1990s
提唱者	B. L. Welch; R. R. Wilcox (trimmed-mean extension)	Rand R. Wilcox; Karen K. Yuen (trimmed-mean form)
種類	Robust parametric group comparison	Robust parametric mean 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	trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA	Yuen's t-test, trimmed-mean t-test, Winsorized t-test, robust two-sample test
関連	2	2
概要	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.	The robust independent samples t-test compares the central tendency of two independent groups using trimmed means and Winsorized variances, making it substantially less sensitive to outliers and non-normality than the classical Student or Welch t-test. The most widely used form is Yuen's test, which also accommodates unequal variances across groups.