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Graphical Evaluation of the Ridge-Type Robust Regression Estimators in Mixture Experiments
Joint Authors
Erkoc, Ali
Emiroglu, Esra
Akay, Kadri Ulas
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
In mixture experiments, estimation of the parameters is generally based on ordinary least squares (OLS).
However, in the presence of multicollinearity and outliers, OLS can result in very poor estimates.
In this case, effects due to the combined outlier-multicollinearity problem can be reduced to certain extent by using alternative approaches.
One of these approaches is to use biased-robust regression techniques for the estimation of parameters.
In this paper, we evaluate various ridge-type robust estimators in the cases where there are multicollinearity and outliers during the analysis of mixture experiments.
Also, for selection of biasing parameter, we use fraction of design space plots for evaluating the effect of the ridge-type robust estimators with respect to the scaled mean squared error of prediction.
The suggested graphical approach is illustrated on Hald cement data set.
American Psychological Association (APA)
Erkoc, Ali& Emiroglu, Esra& Akay, Kadri Ulas. 2014. Graphical Evaluation of the Ridge-Type Robust Regression Estimators in Mixture Experiments. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1051118
Modern Language Association (MLA)
Erkoc, Ali…[et al.]. Graphical Evaluation of the Ridge-Type Robust Regression Estimators in Mixture Experiments. The Scientific World Journal No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1051118
American Medical Association (AMA)
Erkoc, Ali& Emiroglu, Esra& Akay, Kadri Ulas. Graphical Evaluation of the Ridge-Type Robust Regression Estimators in Mixture Experiments. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1051118
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051118