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Hồi quy đa thức×Hồi quy Bình phương Tối thiểu Thông thường (OLS)×Phương pháp Bề mặt Đáp ứng (RSM)×
Lĩnh vựcThống kêKinh tế lượngThiết kế thí nghiệm
HọRegression modelRegression modelHypothesis test
Năm ra đời201220191951
Người khởi xướngMontgomery, Peck & Vining (textbook treatment); classical least squaresWooldridge (textbook treatment); classical least squaresGeorge E. P. Box & K. B. Wilson
LoạiLinear regression in transformed predictorsLinear regressionSecond-order polynomial response surface model
Công trình gốcMontgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Wooldridge, 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 ↗
Tên gọi khácpolynomial least squares, curvilinear regression, Polinom Regresyonuordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuRSM, Central Composite Design, Box-Behnken Design, CCD
Liên quan457
Tóm tắtPolynomial 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.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).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.
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ScholarGateSo sánh phương pháp: Polynomial Regression · OLS Regression · Response Surface Methodology. Truy cập ngày 2026-06-18 từ https://scholargate.app/vi/compare