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D-optimal designs for Poisson regression models

D-optimal designs for Poisson regression models
D-optimal designs for Poisson regression models
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.
M08/01
University of Southampton
Russell, K.G.
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Woods, D.C.
ae21f7e2-29d9-4f55-98a2-639c5e44c79c
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Eccleston, J.A.
8d0ae072-0870-4302-a54d-af9ec88e42b8
Russell, K.G.
7a489c0a-13d2-4432-98c1-373692512949
Woods, D.C.
ae21f7e2-29d9-4f55-98a2-639c5e44c79c
Lewis, S.M.
a69a3245-8c19-41c6-bf46-0b3b02d83cb8
Eccleston, J.A.
8d0ae072-0870-4302-a54d-af9ec88e42b8

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

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
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Identifiers

Local EPrints ID: 50282
URI: http://eprints.soton.ac.uk/id/eprint/50282
PURE UUID: 19e36e68-77f5-400e-a772-11934d169ec7
ORCID for D.C. Woods: ORCID iD orcid.org/0000-0001-7648-429X

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Date deposited: 12 Feb 2008
Last modified: 03 Mar 2026 02:38

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Contributors

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

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