手法を比較

	ロバスト・フリードマン検定	ロバストペアサンプルt検定
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1990s–2000s	1974
提唱者	Extension of Friedman (1937); robust variants developed by Wilcox and colleagues	K. K. Yuen; extended by Rand R. Wilcox
種類	Robust nonparametric repeated measures 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	Yuen, K. K. (1974). The two-sample trimmed t for unequal population variances. Biometrika, 61(1), 165–170.
別名	robust rank-based repeated measures test, trimmed-mean Friedman test, Friedman test with robust estimation, Fried-type robust test	trimmed-mean paired t-test, Yuen paired t-test, robust dependent-samples t-test, trimmed paired comparison
関連	6	3
概要	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.	The robust paired samples t-test replaces arithmetic means with trimmed means and Winsorized variance to compare two related measurements while resisting the distorting influence of outliers and non-normal distributions, producing reliable inference where the classic paired t-test breaks down.