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) . To find the D-optimal designs, this problem has been
reduced to a canonical form.
Cite this paper
Gutiérrez, I. and Martín, R. (2014) The Construction of Locally D-Optimal Designs by Canonical Forms to an Extension for the Logistic Model. Applied Mathematics
, 824-831. doi: 10.4236/am.2014.55078
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