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Ford, I., Tosney, B. and Wu, C.F.J. (1992) The Use of a Canonical form in the Construction of Locally Optimal Designs for Non-Linear Problems. Journal of the Royal Statistical Society: Series B, 54, 569-583.

has been cited by the following article:

• 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.