TITLE:
The Construction of Locally D-Optimal Designs by Canonical Forms to an Extension for the Logistic Model
AUTHORS:
Irene García Camacha Gutiérrez, Raúl Martín Martín
KEYWORDS:
Binomial Response; D-Optimal Design; Canonical Form
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.5,
March
24,
2014
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.