D-optimal minimax regression designs on discrete design space |
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Authors: | Julie Zhou |
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Affiliation: | Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8W 3P4 |
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Abstract: | One classical design criterion is to minimize the determinant of the covariance matrix of the regression estimates, and the designs are called D-optimal designs. To reflect the nature that the proposed models are only approximately true, we propose a robust design criterion to study response surface designs. Both the variance and bias are considered in the criterion. In particular, D-optimal minimax designs are investigated and constructed. Examples are given to compare D-optimal minimax designs with classical D-optimal designs. |
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Keywords: | primary, 62K05, 62F35 secondary, 62P12 |
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