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Fitting Nonlinear Mixed-Effects Models

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Mixed-Effects Models in Sand S-PLUS

Part of the book series: Statistics and Computing

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.

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References

  • Bates, D. M. and Chambers, J. M. (1992). “Nonlinear models,” in Chambers and Hastie (1992), Chapter 10, pp. 421–454.

    Google Scholar 

  • Bates, D. M. and Watts, D. G. (1988). Nonlinear Regression Analysis and Its Applications, Wiley, New York.

    Book  MATH  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Davidian, M. and Giltinan, D. M. (1995). Nonlinear Models for Repeated Measurement Data, Chapman & Hall, London.

    Google Scholar 

  • Draper, N. R. and Smith, H. (1998). Applied Regression Analysis, 3rd ed., Wiley, New York.

    MATH  Google Scholar 

  • Hand, D. and Crowder, M. (1996). Practical Longitudinal Data Analysis, Texts in Statistical Science, Chapman & Hall, London.

    Google Scholar 

  • Littell, R. C., Milliken, G. A., Stroup, W. W. and Wolfinger, R. D. (1996). SAS System for Mixed Models, SAS Institute Inc., Cary, NC.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Venables, W. N. and Ripley, B. D. (1999). Modern Applied Statistics with S-PLUS, 3rd ed., Springer-Verlag, New York.

    MATH  Google Scholar 

  • Vonesh, E. F. and Carter, R. L. (1992). Mixed-effects nonlinear regression for unbalanced repeated measures, Biometrics 48: 1–18.

    Article  MathSciNet  Google Scholar 

  • Wakefield, J. (1996). The Bayesian analysis of population pharmacokinetic models, Journal of the American Statistical Association 91: 62–75.

    Article  MATH  Google Scholar 

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© 2000 Springer Verlag New York, LLC

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(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

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  • 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

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