مقایسهٔ روش‌ها

	Hotelling's T² Test	آزمون تی نمونه‌های مستقل
حوزه	آمار	آمار
خانواده	Hypothesis test	Hypothesis test
سال پیدایش	1931	1908
پدیدآور	Harold Hotelling	Student (W. S. Gosset)
نوع	Multivariate parametric mean comparison	Parametric mean comparison
منبع بنیادین	Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378.	Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25.
نام‌های دیگر	Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squared	student t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi
مرتبط	6	4
خلاصه	Hotelling's T² test is a multivariate parametric hypothesis test that simultaneously compares the mean vectors of two independent groups across multiple continuous outcome variables. It was introduced by Harold Hotelling in 1931 as the direct multivariate generalization of Student's t-test, replacing the scalar mean difference with a vector difference scaled by the pooled variance-covariance matrix.	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.