手法を比較

	ロバストWilcoxon符号順位検定	ロバストMann-Whitney U検定
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1945 (original); robust extensions 1990s–2000s	1947 / 2003
提唱者	Frank Wilcoxon (original); Rand R. Wilcox (robust extensions)	Rand Wilcox (robust extensions); original test by Mann & Whitney (1947)
種類	Robust nonparametric paired difference test	Robust nonparametric two-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. (2005). Introduction to Robust Estimation and Hypothesis Testing (2nd ed.). Academic Press. ISBN: 978-0127515427
別名	robust signed-rank test, robust nonparametric paired test, outlier-resistant Wilcoxon test, robust WSR test	robust Wilcoxon rank-sum test, robust two-sample rank test, outlier-resistant Mann-Whitney test, robust nonparametric two-group comparison
関連	5	1
概要	The robust Wilcoxon signed-rank test extends the classical Wilcoxon signed-rank test by incorporating outlier-resistant location measures or robust preprocessing steps, improving inference on paired data when extreme observations or heavy-tailed distributions threaten validity of standard rank-based conclusions.	The Robust Mann-Whitney U test is a nonparametric two-group comparison that combines the rank-based logic of the classic Mann-Whitney U test with modern robust techniques — such as outlier screening, trimmed means, or robust variance estimation — to produce reliable inferences when data contain extreme values, heavy-tailed distributions, or other violations that compromise the standard test.