قارن الطرق

	تحليل التباين الثنائي القوي	تحليل التباين الأحادي الاتجاه المنيع (Robust One-Way ANOVA)
المجال	الإحصاء	الإحصاء
العائلة	Hypothesis test	Hypothesis test
سنة النشأة	1990s–2000s	1951 (Welch); 1990s–2000s (trimmed-mean variants)
صاحب الطريقة	Rand R. Wilcox; H. J. Keselman and colleagues	B. L. Welch; R. R. Wilcox (trimmed-mean extension)
النوع	Robust parametric mean comparison	Robust parametric group comparison
المصدر التأسيسي	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
الأسماء البديلة	robust factorial ANOVA, trimmed-mean two-way ANOVA, heteroscedastic two-way ANOVA, robust 2-way ANOVA	trimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVA
ذات صلة	3	2
الملخص	Robust two-way ANOVA tests main effects and interactions of two categorical factors on a continuous outcome using trimmed means and Winsorized variances, providing valid inference when standard ANOVA assumptions — normality, homoscedasticity, and absence of outliers — are violated.	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.