Nonlinear Mixed Effects Model

  1. Eugene Demidenko

Published Online: 28 JAN 2005

DOI: 10.1002/0471728438.ch8

Mixed Models: Theory and Applications

Mixed Models: Theory and Applications

How to Cite

Demidenko, E. (2005) Nonlinear Mixed Effects Model, in Mixed Models: Theory and Applications, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471728438.ch8

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 28 JUL 2004

ISBN Information

Print ISBN: 9780471601616

Online ISBN: 9780471728436

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Keywords:

  • nonlinear mixed effect model;
  • generalized linear mixed models;
  • regression functions;
  • fixed simulated likelihood;
  • maximum likelihood

Summary

This chapter includes the following topics:

  • Introduction

  • The Model

  • Example: Height of Girls and Boys

  • Maximum Likelihood Estimation

  • Two-Stage Estimator

  • First-Order Approximation

  • Lindstrom–Bates Estimator

  • Likelihood Approximations

  • One-Parameter Exponential Model

  • Asymptotic Equivalence of the TS and LB Estimators

  • Bias-Corrected Two-Stage Estimator

  • Distribution Misspecification

  • Partially Nonlinear Marginal Mixed Model

  • Fixed Sample Likelihood Approach

  • Estimation of Random Effects and Hypothesis Testing

  • Example (continued)

  • Practical Recommendations

  • Appendix: Proof of Theorem on Equivalence

  • Summary Points