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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), pp. 721-730.

Record 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.

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More information

Published date: April 2009
Keywords: clustering, locally optimal design, log-linear models, robust design
Organisations: Southampton Statistical Research Inst.

Identifiers

Local EPrints ID: 151269
URI: http://eprints.soton.ac.uk/id/eprint/151269
ISSN: 1017-0405
PURE UUID: bcd75157-ed34-40ba-9d2a-457cb13876a3

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Date deposited: 10 May 2010 10:29
Last modified: 18 Jul 2017 12:56

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Contributors

Author: K.G. Russell
Author: D.C. Woods
Author: S.M. Lewis
Author: J.A. Eccleston

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