D-optimal designs for Poisson regression models

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


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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.

Item Type: Article
ISSNs: 1017-0405 (print)
Related URLs:
Keywords: clustering, locally optimal design, log-linear models, robust design
Subjects: H Social Sciences > HA Statistics
Divisions : University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
ePrint ID: 151269
Accepted Date and Publication Date:
April 2009Published
Date Deposited: 10 May 2010 10:29
Last Modified: 31 Mar 2016 13:23
URI: http://eprints.soton.ac.uk/id/eprint/151269

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