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تحليل التباين القوي (ويلش والمتوسط المشذب)×اختبار التبديل (العشوائية)×
المجالالإحصاءالإحصاء
العائلةRegression modelRegression model
سنة النشأة19512005
صاحب الطريقةWelch (1951); robust trimmed-mean approach popularised by WilcoxGood (2005); Edgington & Onghena (2007); resampling tradition
النوعRobust one-way analysis of varianceNonparametric resampling test
المصدر التأسيسيWelch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792
الأسماء البديلةWelch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)randomization test, exact permutation test, re-randomization test, Permütasyon Testi
ذات صلة55
الملخصRobust ANOVA compares the central tendency of three or more groups when the classical assumptions of normality and equal variances fail. It combines Welch's heteroscedasticity-adjusted statistic, introduced by Welch in 1951, with trimmed-mean tests advanced by Wilcox, giving reliable comparisons in the presence of outliers and unequal group spreads.The permutation test is a nonparametric resampling procedure that builds the sampling distribution of a test statistic directly from the data by repeatedly shuffling the group labels. Developed in the resampling tradition and treated systematically by Good (2005) and Edgington & Onghena (2007), it requires no parametric distributional assumption and yields an exact p-value.
ScholarGateمجموعة البيانات
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  1. v1
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  3. PUBLISHED

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ScholarGateقارن الطرق: Robust ANOVA · Permutation Test. استُرجع بتاريخ 2026-06-15 من https://scholargate.app/ar/compare