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Regresi Polinomial×Metodologi Permukaan Gerak Balas (RSM)×Regresi Rabung×
BidangStatistikReka Bentuk EksperimenPembelajaran Mesin
KeluargaRegression modelHypothesis testMachine learning
Tahun asal201219511970
PengasasMontgomery, Peck & Vining (textbook treatment); classical least squaresGeorge E. P. Box & K. B. WilsonHoerl, A.E. & Kennard, R.W.
JenisLinear regression in transformed predictorsSecond-order polynomial response surface modelL2-regularized linear regression
Sumber perintisMontgomery, 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 ↗
Aliaspolynomial least squares, curvilinear regression, Polinom RegresyonuRSM, Central Composite Design, Box-Behnken Design, CCDRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Berkaitan474
RingkasanPolynomial 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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ScholarGateBandingkan kaedah: Polynomial Regression · Response Surface Methodology · Ridge Regression. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare