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Ujian T² Hotelling×Regresi Logistik×Analisis Kovarians Multivariat (MANCOVA)×Regresi Kuasa Dua Terkecil Biasa (OLS)×
BidangStatistikStatistik PenyelidikanStatistikEkonometrik
KeluargaHypothesis testProcess / pipelineHypothesis testRegression model
Tahun asal1931195819702019
PengasasHarold HotellingDavid Roxbee CoxExtension of MANOVA and ANCOVA traditions; consolidated in multivariate textbooks by the 1970s–1980sWooldridge (textbook treatment); classical least squares
JenisMultivariate parametric mean comparisonMethodParametric 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 ↗Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗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-squaredlogit model, binomial logistic regression, LRMANCOVA, multivariate ANCOVA, MANOVA with covariates, MANCOVA — Çok Değişkenli Kovaryans Analiziordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Berkaitan6355
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.Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.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 · Logistic Regression · MANCOVA · OLS Regression. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare