Сравнение методов

	Робастная однофакторная дисперсионная структура ANOVA	Робастный t-критерий для независимых выборок
Область	Статистика	Статистика
Семейство	Hypothesis test	Hypothesis test
Год появления	1951 (Welch); 1990s–2000s (trimmed-mean variants)	1974–1990s
Автор метода	B. L. Welch; R. R. Wilcox (trimmed-mean extension)	Rand R. Wilcox; Karen K. Yuen (trimmed-mean form)
Тип	Robust parametric group comparison	Robust parametric mean comparison
Основополагающий источник	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
Другие названия	trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA	Yuen's t-test, trimmed-mean t-test, Winsorized t-test, robust two-sample test
Связанные	2	2
Сводка	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.	The robust independent samples t-test compares the central tendency of two independent groups using trimmed means and Winsorized variances, making it substantially less sensitive to outliers and non-normality than the classical Student or Welch t-test. The most widely used form is Yuen's test, which also accommodates unequal variances across groups.