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تحليل التباين الأحادي الاتجاه المنيع (Robust One-Way ANOVA)×اختبار ت للعينات المستقلة القوي×
المجالالإحصاءالإحصاء
العائلةHypothesis testHypothesis test
سنة النشأة1951 (Welch); 1990s–2000s (trimmed-mean variants)1974–1990s
صاحب الطريقةB. L. Welch; R. R. Wilcox (trimmed-mean extension)Rand R. Wilcox; Karen K. Yuen (trimmed-mean form)
النوعRobust parametric group comparisonRobust parametric mean comparison
المصدر التأسيسيWilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838
الأسماء البديلةtrimmed-mean ANOVA, Welch one-way ANOVA, heteroscedastic one-way ANOVA, robust ANOVAYuen's t-test, trimmed-mean t-test, Winsorized t-test, robust two-sample test
ذات صلة22
الملخصRobust 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.
ScholarGateمجموعة البيانات
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  1. v1
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ScholarGateقارن الطرق: Robust one-way ANOVA · Robust independent samples t-test. استُرجع بتاريخ 2026-06-18 من https://scholargate.app/ar/compare