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D-optimal designs for Poisson regression models

Russell, K.G., Woods, D.C., Lewis, S.M. and Eccleston, J.A. (2008) D-optimal designs for Poisson regression models , Southampton, UK Southampton Statistical Sciences Research Institute 11pp. (S3RI Methodology Working Papers, M08/01).

Record type: Monograph (Working Paper)

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 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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Published date: 29 January 2008

Identifiers

Local EPrints ID: 50282
URI: http://eprints.soton.ac.uk/id/eprint/50282
PURE UUID: 19e36e68-77f5-400e-a772-11934d169ec7

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Date deposited: 12 Feb 2008
Last modified: 17 Jul 2017 14:53

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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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