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Design issues for population growth models

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We briefly review and discuss design issues for population growth and decline models. We then use a flexible growth and decline model as an illustrative example and apply optimal design theory to find optimal sampling times for estimating model parameters, specific parameters and interesting functions of the model parameters for the model with two real applications. Robustness properties of the optimal designs are investigated when nominal values or the model is mis-specified, and also under a different optimality criterion. To facilitate use of optimal design ideas in practice, we also introduce a website for generating a variety of optimal designs for popular models from different disciplines.
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Keywords: D-optimal design; approximate design; c-optimal design; equivalence theorem

Document Type: Research Article

Affiliations: 1: Departamento de Matematicas, Universidad de Castilla la Mancha, Castilla La Mancha, Spain 2: Departamento de Estadistica y Matematica Aplicada, Universidad deAlmeria, Almeria, Spain 3: Department of Biostatistics, University of California at Los Angeles, Los Angeles, USA

Publication date: March 1, 2011

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