D-optimal designs for Poisson regression models |
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Institution: | 1. Beijing Key Laboratory of Advanced Manufacturing Technology, Beijing University of Technology, Beijing, China;2. Department of Industrial Engineering, University of Arkansas, Fayetteville, AR, United States;3. School of Automation Science and Electrical Engineering, Beihang University, Beijing, China |
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Abstract: | Most of the current research on optimal experimental designs for generalized linear models focuses on logistic regression models. In this paper, D-optimal designs for Poisson regression models are discussed. For the one-variable first-order Poisson regression model, it has been found that the D-optimal design, in terms of effective dose levels, is independent of the model parameters. However, it is not the case for more complicated models. We investigate how the D-optimal designs depend on the model parameters for the one-variable second-order model and two-variable interaction model. The performance of some “standard” designs that appeal to practitioners is also studied. |
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