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T²-test Hotellinga×Nezavisni uzorci t-testa×Višestruka višestruka linearna regresija×
PodručjeStatistikaStatistikaStatistika
ObiteljHypothesis testHypothesis testRegression model
Godina nastanka193119082007
TvoracHarold HotellingStudent (W. S. Gosset)Johnson & Wichern (textbook treatment); classical multivariate least squares
VrstaMultivariate parametric mean comparisonParametric mean comparisonMultivariate linear regression
Temeljni izvorHotelling, 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 ↗Johnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153
Drugi naziviHotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredstudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testimultivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV)
Srodne645
SažetakHotelling'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.Multivariate regression is a linear regression method that predicts several continuous dependent variables at the same time from a shared set of predictors. As developed in standard treatments such as Johnson and Wichern's Applied Multivariate Statistical Analysis (2007), each response equation can be fitted by ordinary least squares while the covariance structure of the residuals is used for joint testing across outcomes.
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