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حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19471908
پدیدآورB. L. WelchStudent (W. S. Gosset)
نوعParametric mean comparison (unequal variances)Parametric mean comparison (paired)
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 ↗Field, A. (2013). Discovering Statistics Using IBM SPSS Statistics (4th ed.). SAGE. ISBN: 978-1446249185
نام‌های دیگرunequal variances t-test, Welch-Satterthwaite t-test, Welch t-Testi (Eşit Olmayan Varyans)dependent samples t-test, repeated measures t-test, matched-pairs t-test, eşleştirilmiş 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 paired samples t-test is a parametric hypothesis test that compares two measurements taken on the same subjects — such as a before and after reading — to decide whether the average change differs from zero. It rests on the t-distribution introduced by Student (W. S. Gosset) in 1908 and works on the within-subject difference scores rather than the raw measurements.
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ScholarGateمقایسهٔ روش‌ها: Welch t-test · Paired t-test. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare