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) ).


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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 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.

Item Type: Monograph (Working Paper)
Related URLs:
Subjects: H Social Sciences > HA Statistics
Divisions: University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
ePrint ID: 50282
Date Deposited: 12 Feb 2008
Last Modified: 28 Mar 2014 15:25
Research Funder: EPSRC
PLATFORM: End-to-End pipeline for chemical information: from the laboratory to literature and back again
Funded by: EPSRC (EP/C008863/1)
April 2005 to June 2010
Publisher: Southampton Statistical Sciences Research Institute
URI: http://eprints.soton.ac.uk/id/eprint/50282

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