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حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19081947
پدیدآورStudent (W. S. Gosset)B. L. Welch
نوعParametric mean comparisonParametric mean comparison (unequal variances)
منبع بنیادینStudent (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗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 دیگرstudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testiunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)
مرتبط44
خلاصهThe 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.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: Independent t-test · Welch t-test. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare