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آزمون تی ولش (واریانس‌های نابرابر)×آزمون تی نمونه‌های مستقل×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19471908
پدیدآورB. L. WelchStudent (W. S. Gosset)
نوعParametric mean comparison (unequal variances)Parametric mean comparison
منبع بنیادینWelch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35. DOI ↗Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗
نام‌های دیگرunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi
مرتبط44
خلاصهWelch'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.The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances.
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ScholarGateمقایسهٔ روش‌ها: Welch t-test · Independent t-test. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare