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The Construction of Locally D-Optimal Designs by Canonical Forms to an Extension for the Logistic Model
Mathematics Department, Castilla-La Mancha University, Toledo, Spain
Mathematics Department, Castilla-La Mancha University, Toledo, Spain
- 1 Mathematics Department, Castilla-La Mancha University, Toledo, Spain
- 2 Mathematics Department, Castilla-La Mancha University, Toledo, Spain
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Abstract
Logistic regression models for binary response problems are present in a wide variety of industrial, biological, social and medical experiments; therefore, optimum designs are a valuable tool for experimenters, leading to estimators of parameters with minimum variance. Our interest in this contribution is to provide explicit formulae for the D-optimal designs as a function of the unknown parameters for the logistic model where q is an indicator variable. We have considered an experiment based on the dose-response to a fly insecticide in which males and females respond in different ways, proposed in Atkinson et al. (1995) [1]. To find the D-optimal designs, this problem has been reduced to a canonical form.
KeywordsBinomial ResponseD-Optimal DesignCanonical Form
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