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Regressió polinòmica×Metodologia de Superfície de Resposta (RSM)×Regressió Ridge×
CampEstadísticaDisseny experimentalAprenentatge automàtic
FamíliaRegression modelHypothesis testMachine learning
Any d'origen201219511970
Autor originalMontgomery, Peck & Vining (textbook treatment); classical least squaresGeorge E. P. Box & K. B. WilsonHoerl, A.E. & Kennard, R.W.
TipusLinear regression in transformed predictorsSecond-order polynomial response surface modelL2-regularized linear regression
Font seminalMontgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Box, 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 ↗
Àliespolynomial least squares, curvilinear regression, Polinom RegresyonuRSM, Central Composite Design, Box-Behnken Design, CCDRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Relacionats474
ResumPolynomial regression is a regression method that models non-linear relationships by including squared and higher-degree terms of an explanatory variable, and it is a core tool of response surface analysis. As developed in Montgomery, Peck and Vining's Introduction to Linear Regression Analysis (2012), it remains linear in its parameters even though the fitted curve bends.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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ScholarGateCompara mètodes: Polynomial Regression · Response Surface Methodology · Ridge Regression. Recuperat el 2026-06-18 de https://scholargate.app/ca/compare