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होटलिंग का T² परीक्षण×लॉजिस्टिक रिग्रेशन×
क्षेत्रसांख्यिकीअनुसंधान सांख्यिकी
परिवारHypothesis testProcess / pipeline
उद्भव वर्ष19311958
प्रवर्तकHarold HotellingDavid Roxbee Cox
प्रकारMultivariate parametric mean comparisonMethod
मौलिक स्रोतHotelling, 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 ↗
उपनामHotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredlogit model, binomial logistic regression, LR
संबंधित63
सारांशHotelling'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.
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