Chapter 10. Optimal Designs for Nonlinear Models

  1. Martijn P. F. Berger1 and
  2. Weng Kee Wong2

Published Online: 27 MAY 2009

DOI: 10.1002/9780470746912.ch10

An Introduction to Optimal Designs for Social and Biomedical Research

An Introduction to Optimal Designs for Social and Biomedical Research

How to Cite

Berger, M. P. F. and Wong, W. K. (2009) Optimal Designs for Nonlinear Models, in An Introduction to Optimal Designs for Social and Biomedical Research, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470746912.ch10

Author Information

  1. 1

    Department of Methodology and Statistics, Maastricht University, The Netherlands

  2. 2

    Department of Biostatistics, School of Public Health, University of California, Los Angeles, USA

Publication History

  1. Published Online: 27 MAY 2009
  2. Published Print: 29 MAY 2009

ISBN Information

Print ISBN: 9780470694503

Online ISBN: 9780470746912

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Keywords:

  • optimal designs for nonlinear models;
  • nonlinear models, in biological sciences and health sciences;
  • first-order Taylor's approximation;
  • compartmental models in various forms - in pharmacokinetic research;
  • Michaelis–Menten model - describing properties of saturation effects;
  • model in pharmacodynamics to relate drug concentration - sigmoid Emax model;
  • partially linear parameters;
  • minimax optimality concept - for nonlinear models

Summary

This chapter contains sections titled:

  • Introduction

  • Linear models versus nonlinear models

  • Design issues for nonlinear models

  • Alternative optimal designs with examples

  • Bayesian optimal designs

  • Minimax optimal design

  • Multiple-objective optimal designs

  • Optimal design for model discrimination

  • Summary