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Comparison of Robust Criteria for D-Optimal Designs
Authors:Lee Kien Foo  James McGree  John Eccleston  Stephen Duffull
Affiliation:1. School of Pharmacy , University of Otago , Dunedin , New Zealand lee-kien.foo@otago.ac.nz;3. Mathematical Sciences , Queensland University of Technology , Brisbane , Australia;4. School of Physical Sciences , University of Queensland , St. Lucia Brisbane , Australia;5. School of Pharmacy , University of Otago , Dunedin , New Zealand
Abstract:This study compared the performance of a local and three robust optimality criteria in terms of the standard error for a one-parameter and a two-parameter nonlinear model with uncertainty in the parameter values. The designs were also compared in conditions where there was misspecification in the prior parameter distribution. The impact of different correlation between parameters on the optimal design was examined in the two-parameter model. The designs and standard errors were solved analytically whenever possible and numerically otherwise.
Keywords:D-optimal design  ED design  Nonlinear model  Pharmacokinetics  Robust design  Standard error
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