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Ujian T² Hotelling×Analisis Kovarians Multivariat (MANCOVA)×Regresi Linear Berganda Pelbagai Pemboleh Ubah×
BidangStatistikStatistikStatistik
KeluargaHypothesis testHypothesis testRegression model
Tahun asal193119702007
PengasasHarold HotellingExtension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sJohnson & Wichern (textbook treatment); classical multivariate least squares
JenisMultivariate parametric mean comparisonParametric multivariate mean comparison with covariate controlMultivariate linear regression
Sumber perintisHotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗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
AliasHotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredMANCOVA, 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)
Berkaitan655
RingkasanHotelling'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.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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ScholarGateBandingkan kaedah: Hotelling's T² Test · MANCOVA · Multivariate Regression. Dicapai 2026-06-20 daripada https://scholargate.app/ms/compare