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Hotellinga T² tests×Daudzvariāciju daudzkārtējā lineārā regresija×
NozareStatistikaStatistika
SaimeHypothesis testRegression model
Izcelsmes gads19312007
AutorsHarold HotellingJohnson & Wichern (textbook treatment); classical multivariate least squares
TipsMultivariate parametric mean comparisonMultivariate linear regression
PirmavotsHotelling, 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
Citi nosaukumiHotelling 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)
Saistītās65
KopsavilkumsHotelling'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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ScholarGateSalīdzināt metodes: Hotelling's T² Test · Multivariate Regression. Izgūts 2026-06-17 no https://scholargate.app/lv/compare