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Flexible estimation of serial correlation in nonlinear mixed models

Author

Listed:
  • Jan Serroyen
  • Geert Molenberghs
  • Marc Aerts
  • Ellen Vloeberghs
  • Peter Paul De Deyn
  • Geert Verbeke

Abstract

In the conventional linear mixed-effects model, four structures can be distinguished: fixed effects, random effects, measurement error and serial correlation. The latter captures the phenomenon that the correlation structure within a subject depends on the time lag between two measurements. While the general linear mixed model is rather flexible, the need has arisen to further increase flexibility. In addition to work done in the area, we propose the use of spline-based modeling of the serial correlation function, so as to allow for additional flexibility. This approach is applied to data from a pre-clinical experiment in dementia which studied the eating and drinking behavior in mice.

Suggested Citation

  • Jan Serroyen & Geert Molenberghs & Marc Aerts & Ellen Vloeberghs & Peter Paul De Deyn & Geert Verbeke, 2010. "Flexible estimation of serial correlation in nonlinear mixed models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(5), pages 833-846.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:5:p:833-846
    DOI: 10.1080/02664760902914425
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    References listed on IDEAS

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    1. Jianxin Pan, 2003. "On modelling mean-covariance structures in longitudinal studies," Biometrika, Biometrika Trust, vol. 90(1), pages 239-244, March.
    2. Patrick Royston & Douglas G. Altman, 1994. "Regression Using Fractional Polynomials of Continuous Covariates: Parsimonious Parametric Modelling," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 43(3), pages 429-453, September.
    3. Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521780506.
    4. Arũnas P. Verbyla & Brian R. Cullis & Michael G. Kenward & Sue J. Welham, 1999. "The Analysis of Designed Experiments and Longitudinal Data by Using Smoothing Splines," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 48(3), pages 269-311.
    5. Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521785167.
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