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)
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ePrint ID: 50282
Date :
Date Event
29 January 2008Published
Date Deposited: 12 Feb 2008
Last Modified: 16 Apr 2017 18:12
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/50282

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