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حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19251947
پدیدآورRonald A. FisherB. L. Welch
نوعParametric mean comparisonParametric mean comparison (unequal variances)
منبع بنیادینFisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗
نام‌های دیگرone-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVAunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)
مرتبط44
خلاصهOne-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925.Welch's t-test is a parametric hypothesis test that compares the means of two independent groups without assuming their variances are equal. It was introduced by B. L. Welch in 1947 as a more robust generalization of Student's two-sample test for situations where the two groups have different spread.
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ScholarGateمقایسهٔ روش‌ها: One-way ANOVA · Welch t-test. بازیابی‌شده در 2026-06-20 از https://scholargate.app/fa/compare