Work

D-optimal Designs for Poisson Regression Models

Year: 2009
Type: article
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.
Language: English
Open Access status: green
OpenAlex ID: W1545323340
FWCI: 5.425
Cites: 19
Cited by: 56
Related to: 10