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Test T² Hotellinga×Niezależny test t dla prób niezależnych×
DziedzinaStatystykaStatystyka
RodzinaHypothesis testHypothesis test
Rok powstania19311908
TwórcaHarold HotellingStudent (W. S. Gosset)
TypMultivariate parametric mean comparisonParametric mean comparison
Źródło pierwotneHotelling, 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 ↗
Inne nazwyHotelling 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
Pokrewne64
PodsumowanieHotelling'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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