手法を比較

	ロバストANOVA（ウェルチとトリム平均）	順列検定（ランダム化検定）
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1951	2005
提唱者	Welch (1951); robust trimmed-mean approach popularised by Wilcox	Good (2005); Edgington & Onghena (2007); resampling tradition
種類	Robust one-way analysis of variance	Nonparametric resampling test
原典	Welch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336.	Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792
別名	Welch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)	randomization test, exact permutation test, re-randomization test, Permütasyon Testi
関連	5	5
概要	Robust ANOVA compares the central tendency of three or more groups when the classical assumptions of normality and equal variances fail. It combines Welch's heteroscedasticity-adjusted statistic, introduced by Welch in 1951, with trimmed-mean tests advanced by Wilcox, giving reliable comparisons in the presence of outliers and unequal group spreads.	The permutation test is a nonparametric resampling procedure that builds the sampling distribution of a test statistic directly from the data by repeatedly shuffling the group labels. Developed in the resampling tradition and treated systematically by Good (2005) and Edgington & Onghena (2007), it requires no parametric distributional assumption and yields an exact p-value.