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

• 作者: Irene García Camacha Gutiérrez Raúl Martín Martín
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: BINOMIAL Response D-Optimal Design CANONICAL FORM
• 年，卷（期）: 2014,（5）
• 页码范围: 824-831
• 页数: 8页
• 分类号: O1

摘要

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.