Abstract
As shown in the examples in Chapter 6, nonlinear mixed-effects models offer a flexible tool for analyzing grouped data with models that depend nonlinearly upon their parameters. As nonlinear models are usually based on a mechanistic model of the relationship between the response and the covariates, their parameters can have a theoretical interpretation and are often of interest in their own right. In this chapter, we describe in detail the facilities in the nlme library for fitting nonlinear mixed-effects models.
Preview
Unable to display preview. Download preview PDF.
References
Bates, D. M. and Chambers, J. M. (1992). “Nonlinear models,” in Chambers and Hastie (1992), Chapter 10, pp. 421–454.
Bates, D. M. and Watts, D. G. (1988). Nonlinear Regression Analysis and Its Applications, Wiley, New York.
Davidian, M. and Gallant, A. R. (1992). Smooth nonparametric maximum likelihood estimation for population pharmacokinetics, with application to quinidine, Journal of Pharmacokinetics and Biopharmaceutics 20: 529–556.
Davidian, M. and Giltinan, D. M. (1995). Nonlinear Models for Repeated Measurement Data, Chapman & Hall, London.
Draper, N. R. and Smith, H. (1998). Applied Regression Analysis, 3rd ed., Wiley, New York.
Hand, D. and Crowder, M. (1996). Practical Longitudinal Data Analysis, Texts in Statistical Science, Chapman & Hall, London.
Littell, R. C., Milliken, G. A., Stroup, W. W. and Wolfinger, R. D. (1996). SAS System for Mixed Models, SAS Institute Inc., Cary, NC.
Potvin, C., Lechowicz, M. J. and Tardif, S. (1990). The statistical analysis of ecophysiological response curves obtained from experiments involving repeated measures, Ecology 71: 1389–1400.
Venables, W. N. and Ripley, B. D. (1999). Modern Applied Statistics with S-PLUS, 3rd ed., Springer-Verlag, New York.
Vonesh, E. F. and Carter, R. L. (1992). Mixed-effects nonlinear regression for unbalanced repeated measures, Biometrics 48: 1–18.
Wakefield, J. (1996). The Bayesian analysis of population pharmacokinetic models, Journal of the American Statistical Association 91: 62–75.
Rights and permissions
Copyright information
© 2000 Springer Verlag New York, LLC
About this chapter
Cite this chapter
(2000). Fitting Nonlinear Mixed-Effects Models. In: Mixed-Effects Models in Sand S-PLUS. Statistics and Computing. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0318-1_8
Download citation
DOI: https://doi.org/10.1007/978-1-4419-0318-1_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-0317-4
Online ISBN: 978-1-4419-0318-1
eBook Packages: Springer Book Archive