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Kipimo cha T² cha Hotelling×Regresheni ya Mstari wa Vigeu Vingi (Multivariate Multiple Linear Regression)×
NyanjaTakwimuTakwimu
FamiliaHypothesis testRegression model
Mwaka wa asili19312007
MwanzilishiHarold HotellingJohnson & Wichern (textbook treatment); classical multivariate least squares
AinaMultivariate parametric mean comparisonMultivariate linear regression
Chanzo asiliaHotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗Johnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153
Majina mbadalaHotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredmultivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV)
Zinazohusiana65
MuhtasariHotelling'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.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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ScholarGateLinganisha mbinu: Hotelling's T² Test · Multivariate Regression. Imepatikana 2026-06-17 kutoka https://scholargate.app/sw/compare