Russell, K.G., Woods, D.C., Lewis, S.M. and Eccleston, J.A.
D-optimal designs for Poisson regression models. Southampton, UK, Southampton Statistical Sciences Research Institute, 11pp.
(S3RI Methodology Working Papers, (M08/01) ).
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 theorem is 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.
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