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رگرسیون حداقل مربعات معمولی (OLS)×روش سطح پاسخ (RSM)×رگرسیون ریج (Ridge Regression)×
حوزهاقتصادسنجیطراحی آزمایشیادگیری ماشین
خانوادهRegression modelHypothesis testMachine learning
سال پیدایش201919511970
پدیدآورWooldridge (textbook treatment); classical least squaresGeorge E. P. Box & K. B. WilsonHoerl, A.E. & Kennard, R.W.
نوعLinear regressionSecond-order polynomial response surface modelL2-regularized linear regression
منبع بنیادینWooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Box, G. E. P. & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, Series B, 13(1), 1–45. link ↗Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
نام‌های دیگرordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuRSM, Central Composite Design, Box-Behnken Design, CCDRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
مرتبط574
خلاصهOrdinary 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).Response Surface Methodology is a collection of statistical and mathematical techniques for building an empirical second-order polynomial model that relates a continuous response variable to two or more controllable input factors, and then locating the factor settings that optimize that response. The approach was introduced by George E. P. Box and K. B. Wilson in their landmark 1951 paper and has since become a cornerstone of process optimization across engineering, chemistry, food science, and pharmaceutics.Ridge Regression is an L2-regularized linear regression method, introduced by Arthur Hoerl and Robert Kennard in 1970, that reduces multicollinearity by adding a penalty on the size of the coefficients. It shrinks coefficients toward zero without setting any of them exactly to zero, producing more stable estimates when predictors are highly correlated.
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ScholarGateمقایسهٔ روش‌ها: OLS Regression · Response Surface Methodology · Ridge Regression. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare