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## Bounded-Influence Regression Estimation for Mixture Experiments

#### Orkun COŞKUNTUNCEL [1]

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Ordinary Least Squares (OLS) estimator is widely used technique for estimating the regression coefficient in mixture experiments. But this estimator is very sensitive to outliers and/or multicollinearity problems. The aim of this paper is to propose estimators for the regression parameters of a mixture model that can combat with the above problems. For this purpose, Generalized M (GM) estimation, which is more resistant to outliers in the y and / or x directions and regression estimators such as ridge and Liu, which is effective against the multicollinearity, were used together. The Mean Square Error (MSE) properties of proposed estimator has been examined and shown to be smaller than biased and GM estimates. Also performance of the combined estimator is illustrated by examples.
Regression, Ridge regression, Liu estimator, Robustness, GM estimator
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Primary Language en Education, Scientific Disciplines Makaleler Orcid: 0000-0002-0599-1881Author: Orkun COŞKUNTUNCELInstitution: MERSİN ÜNİVERSİTESİ, EĞİTİM FAKÜLTESİCountry: Turkey
 Bibtex @research article { mersinefd443584, journal = {Mersin Üniversitesi Eğitim Fakültesi Dergisi}, issn = {}, eissn = {1306-7850}, address = {Mersin University}, year = {2018}, volume = {14}, pages = {1020 - 1037}, doi = {10.17860/mersinefd.443584}, title = {Bounded-Influence Regression Estimation for Mixture Experiments}, key = {cite}, author = {COŞKUNTUNCEL, Orkun} } APA COŞKUNTUNCEL, O . (2018). Bounded-Influence Regression Estimation for Mixture Experiments. Mersin Üniversitesi Eğitim Fakültesi Dergisi, 14 (3), 1020-1037. DOI: 10.17860/mersinefd.443584 MLA COŞKUNTUNCEL, O . "Bounded-Influence Regression Estimation for Mixture Experiments". Mersin Üniversitesi Eğitim Fakültesi Dergisi 14 (2018): 1020-1037 Chicago COŞKUNTUNCEL, O . "Bounded-Influence Regression Estimation for Mixture Experiments". Mersin Üniversitesi Eğitim Fakültesi Dergisi 14 (2018): 1020-1037 RIS TY - JOUR T1 - Bounded-Influence Regression Estimation for Mixture Experiments AU - Orkun COŞKUNTUNCEL Y1 - 2018 PY - 2018 N1 - doi: 10.17860/mersinefd.443584 DO - 10.17860/mersinefd.443584 T2 - Mersin Üniversitesi Eğitim Fakültesi Dergisi JF - Journal JO - JOR SP - 1020 EP - 1037 VL - 14 IS - 3 SN - -1306-7850 M3 - doi: 10.17860/mersinefd.443584 UR - https://doi.org/10.17860/mersinefd.443584 Y2 - 2018 ER - EndNote %0 Mersin University Journal of the Faculty of Education Bounded-Influence Regression Estimation for Mixture Experiments %A Orkun COŞKUNTUNCEL %T Bounded-Influence Regression Estimation for Mixture Experiments %D 2018 %J Mersin Üniversitesi Eğitim Fakültesi Dergisi %P -1306-7850 %V 14 %N 3 %R doi: 10.17860/mersinefd.443584 %U 10.17860/mersinefd.443584 ISNAD COŞKUNTUNCEL, Orkun . "Bounded-Influence Regression Estimation for Mixture Experiments". Mersin Üniversitesi Eğitim Fakültesi Dergisi 14 / 3 (December 2018): 1020-1037. https://doi.org/10.17860/mersinefd.443584