手法を比較

	ロバスト記述統計	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	1960s–1970s	1951 (Welch); 1990s–2000s (trimmed-mean variants)
提唱者	John W. Tukey, Peter J. Huber, Frank Hampel	B. L. Welch; R. R. Wilcox (trimmed-mean extension)
種類	Resistant summary measures	Robust parametric group comparison
原典	Tukey, J. W. (1977). Exploratory Data Analysis. Addison-Wesley. ISBN: 978-0201076165	Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838
別名	resistant statistics, outlier-resistant summary statistics, robust summary measures, robust location and scale estimation	trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA
関連	5	2
概要	Robust descriptive statistics summarize the location, spread, and shape of a dataset using measures that remain meaningful even when a fraction of the data contains outliers or severe departures from normality. Core tools include the median, trimmed mean, interquartile range (IQR), and median absolute deviation (MAD), all of which are resistant to contamination that would distort the classic mean and standard deviation.	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.