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تحليل التباين ثنائي الاتجاه (Two-Way ANOVA)×تحليل التباين لويلش (Welch's Analysis of Variance)×
المجالالإحصاءالإحصاء
العائلةHypothesis testHypothesis test
سنة النشأة19251951
صاحب الطريقةRonald A. FisherB. L. Welch
النوعParametric factorial mean comparisonParametric mean comparison (heteroscedastic)
المصدر التأسيسيMontgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478Welch, B.L. (1951). On the Comparison of Several Mean Values. Biometrika, 38(3/4), 330–336. link ↗
الأسماء البديلةfactorial ANOVA, two-factor ANOVA, İki Yönlü ANOVAWelch's F-test, heteroscedastic one-way ANOVA, Welch ANOVA — Heterojen Varyans ANOVA
ذات صلة63
الملخصTwo-Way ANOVA is a parametric hypothesis test that simultaneously examines the main effects of two independent categorical factors and their interaction effect on a single continuous dependent variable. The technique was developed within the broader framework of the analysis of variance established by Ronald A. Fisher in 1925 and remains the standard approach whenever an experiment or survey includes exactly two between-subjects factors.Welch ANOVA is a parametric hypothesis test that compares the means of three or more independent groups when their variances are not equal. Introduced by B. L. Welch in 1951, it replaces classic one-way ANOVA whenever the homogeneity-of-variance assumption fails, while still requiring approximately normal data.
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ScholarGateقارن الطرق: Two-Way ANOVA · Welch ANOVA. استُرجع بتاريخ 2026-06-18 من https://scholargate.app/ar/compare