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Тест Хотеллинга T²×Независимый t-критерий для двух выборок×
ОбластьСтатистикаСтатистика
СемействоHypothesis testHypothesis test
Год появления19311908
Автор методаHarold HotellingStudent (W. S. Gosset)
ТипMultivariate parametric mean comparisonParametric mean comparison
Основополагающий источникHotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗
Другие названияHotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredstudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testi
Связанные64
СводкаHotelling'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.
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ScholarGateСравнение методов: Hotelling's T² Test · Independent t-test. Получено 2026-06-19 из https://scholargate.app/ru/compare