- Mersin Üniversitesi Eğitim Fakültesi Dergisi
- Volume:14 Issue:3
- Bounded-Influence Regression Estimation for Mixture Experiments
Bounded-Influence Regression Estimation for Mixture Experiments
Authors : Orkun COŞKUNTUNCEL
Pages : 1020-1037
Doi:10.17860/mersinefd.443584
View : 18 | Download : 13
Publication Date : 2018-12-25
Article Type : Research Paper
Abstract :Ordinary Least Squares insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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 insert ignore into journalissuearticles values(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.Keywords : Regression, Ridge regression, Liu estimator, Robustness, GM estimator