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The Construction of Locally D-Optimal Designs by Canonical Forms to an Extension for the Logistic Model

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DOI: 10.4236/am.2014.55078    4,670 Downloads   5,876 Views  

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.

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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, 5, 824-831. doi: 10.4236/am.2014.55078.

References

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