D-Optimal designs for poisson regression models

Authors

Kenneth G. Russell, University of WollongongFollow
David C. Woods, University of Southampton
John A. Eccleston, University of QueenslandFollow
Susan M. Lewis, University of SouthamptonFollow

RIS ID

27561

Publication Details

Russell, K. G., Woods, D. C., Lewis, S. M. & Eccleston, J. A. (2009). D-Optimal designs for poisson regression models. Statistica Sinica, 19 (2), 721-730.

Abstract

We consider the problem of finding an optimal design under a Poisson regression model with a log link, any number of independent variables, and an additive linear predictor. Local D-optimality of a class of designs is established through use of a canonical form of the problem and a general equivalence theorem. The results are applied in conjunction with clustering techniques to obtain a fast method of finding designs that are robust to wide ranges of model parameter values. The methods are illustrated through examples.Key words and phrases: Clustering, locally optimal design, log-linear models, robust design.