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Hotellinga T² tests×Neatkarīgo paraugu t-tests×Daudzvarianto kovariācijas analīze (MANCOVA)×Daudzvariāciju daudzkārtējā lineārā regresija×
NozareStatistikaStatistikaStatistikaStatistika
SaimeHypothesis testHypothesis testHypothesis testRegression model
Izcelsmes gads1931190819702007
AutorsHarold HotellingStudent (W. S. Gosset)Extension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sJohnson & Wichern (textbook treatment); classical multivariate least squares
TipsMultivariate parametric mean comparisonParametric mean comparisonParametric multivariate mean comparison with covariate controlMultivariate linear regression
PirmavotsHotelling, 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 ↗Tabachnick, B. G. & Fidell, L. S. (2019). Using Multivariate Statistics (7th ed.). Pearson. ISBN: 978-0134790541Johnson, 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-squaredstudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testiMANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analizimultivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV)
Saistītās6455
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.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.MANCOVA (Multivariate Analysis of Covariance) is a parametric hypothesis test that simultaneously compares two or more groups on multiple continuous dependent variables while statistically controlling for one or more covariates. It extends MANOVA by incorporating covariate adjustment, a tradition consolidated in multivariate statistical methodology by the 1970s and authoritatively documented by Tabachnick and Fidell (2019).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 · Independent t-test · MANCOVA · Multivariate Regression. Izgūts 2026-06-20 no https://scholargate.app/lv/compare