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Biometrika Advance Access originally published online on April 1, 2009
Biometrika 2009 96(2):487-493; doi:10.1093/biomet/asp004
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© 2009 Biometrika Trust

Miscellanea

Some results on D-optimal designs for nonlinear models with applications

Gang Li

Medicine Development Center, GlaxoSmithKline, 1250 South Collegeville Road, Collegeville, Pennsylvania 19426, U.S.A. gang.6.li{at}gsk.com

Dibyen Majumdar

Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 South Morgan Street, Chicago, Illinois 60607, U.S.A. dibyen{at}uic.edu

Received for publication 1 August 2007. Revision received 1 August 2008.
  Abstract

Sufficient conditions are established for the locally D$-optimal design for a nonlinear model to have a minimal number of support points. The conditions are applied to obtain locally D-optimal designs for a one-compartment pharmacokinetic model and a Poisson regression model.

Key Words: Compartmental model • General equivalence theorem • Minimally supported design • Poisson regression • Tchebycheff system


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