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Ujian T² Hotelling×Analisis Kovarians Multivariat (MANCOVA)×Regresi Kuasa Dua Terkecil Biasa (OLS)×
BidangStatistikStatistikEkonometrik
KeluargaHypothesis testHypothesis testRegression model
Tahun asal193119702019
PengasasHarold HotellingExtension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sWooldridge (textbook treatment); classical least squares
JenisMultivariate parametric mean comparisonParametric multivariate mean comparison with covariate controlLinear 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: 978-0134790541Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
AliasHotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredMANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analiziordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
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).Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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ScholarGateBandingkan kaedah: Hotelling's T² Test · MANCOVA · OLS Regression. Dicapai 2026-06-19 daripada https://scholargate.app/ms/compare