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বহুমাত্রিক বহুচলক রৈখিক নির্ভরণ (Multivariate Multiple Linear Regression)×হোটেলিং-এর T² পরীক্ষা×লজিস্টিক রিগ্রেশন×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×
ক্ষেত্রপরিসংখ্যানপরিসংখ্যানগবেষণা পরিসংখ্যানঅর্থমিতি
পরিবারRegression modelHypothesis testProcess / pipelineRegression model
উদ্ভবের বছর2007193119582019
প্রবর্তকJohnson & Wichern (textbook treatment); classical multivariate least squaresHarold HotellingDavid Roxbee CoxWooldridge (textbook treatment); classical least squares
ধরনMultivariate linear regressionMultivariate parametric mean comparisonMethodLinear regression
মৌলিক উৎসJohnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153Hotelling, 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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
অপর নামmultivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV)Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredlogit model, binomial logistic regression, LRordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
সম্পর্কিত5635
সারসংক্ষেপMultivariate 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.Hotelling'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.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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ScholarGateপদ্ধতির তুলনা করুন: Multivariate Regression · Hotelling's T² Test · Logistic Regression · OLS Regression. 2026-06-19 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare