手法を比較

	ロバストWilcoxon符号順位検定	ロバスト・フリードマン検定
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1945 (original); robust extensions 1990s–2000s	1990s–2000s
提唱者	Frank Wilcoxon (original); Rand R. Wilcox (robust extensions)	Extension of Friedman (1937); robust variants developed by Wilcox and colleagues
種類	Robust nonparametric paired difference test	Robust nonparametric repeated measures 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 signed-rank test, robust nonparametric paired test, outlier-resistant Wilcoxon test, robust WSR test	robust rank-based repeated measures test, trimmed-mean Friedman test, Friedman test with robust estimation, Fried-type robust test
関連	5	6
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 Friedman test is a nonparametric procedure for comparing three or more related (within-subjects) conditions that replaces standard ranking or mean-based summaries with robust location estimates — typically trimmed means or Winsorized statistics — to reduce the influence of outliers and heavy-tailed distributions on the inference.