手法を比較

	ロバスト効果量分析	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	2005 (formalized)	1951 (Welch); 1990s–2000s (trimmed-mean variants)
提唱者	Algina, Keselman & Penfield; Wilcox	B. L. Welch; R. R. Wilcox (trimmed-mean extension)
種類	Robust effect size estimation	Robust parametric group comparison
原典	Algina, J., Keselman, H. J., & Penfield, R. D. (2005). An alternative to Cohen's standardized mean difference effect size: A robust parameter and confidence interval in the two independent groups case. Psychological Methods, 10(3), 317–328.	Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838
別名	robust Cohen's d, trimmed-mean effect size, outlier-resistant effect size, robust standardized mean difference	trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA
関連	5	2
概要	Robust effect size analysis quantifies the magnitude of a difference or association using estimators that are resistant to outliers and violations of normality. Rather than relying on classical statistics such as Cohen's d based on sample means and standard deviations, robust variants use trimmed means and Winsorized standard deviations to produce effect size estimates that accurately reflect the typical effect rather than being inflated by extreme values.	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.