Сравнение методов

	t-критерий Уэлча (неравные дисперсии)	Независимый t-критерий для двух выборок
Область	Статистика	Статистика
Семейство	Hypothesis test	Hypothesis test
Год появления	1947	1908
Автор метода	B. L. Welch	Student (W. S. Gosset)
Тип	Parametric mean comparison (unequal variances)	Parametric mean comparison
Основополагающий источник	Welch, B. L. (1947). The generalization of Student's problem when several different population variances are involved. Biometrika, 34(1/2), 28–35.	Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25.
Другие названия	unequal 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
Связанные	4	4
Сводка	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.	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.