Flexible modelling of the covariance matrix in a linear random effects model

A flexible approach is proposed for modelling the covariance matrix of a linear mixed model for longitudinal data. The method combines parametric modelling of the random effects part with flexible modelling of the serial correlation component. The approach is exemplified on weight gain data and on the evolution of height of children in their first year of life of the Jimma Infant Survival Study, an Ethiopian cohort study. The analyses show the usefulness of the approach.

[1]  P. Royston,et al.  Regression using fractional polynomials of continuous covariates: parsimonious parametric modelling. , 1994 .

[2]  L. Skovgaard NONLINEAR MODELS FOR REPEATED MEASUREMENT DATA. , 1996 .

[3]  M. Kenward,et al.  The Analysis of Designed Experiments and Longitudinal Data by Using Smoothing Splines , 1999 .

[4]  P. Diggle,et al.  Analysis of Longitudinal Data , 2003 .

[5]  D. Stram,et al.  Variance components testing in the longitudinal mixed effects model. , 1994, Biometrics.

[6]  Kathryn S. Dawson,et al.  Two Graphical Techniques Useful in Detecting Correlation Structure in Repeated Measures Data , 1997 .

[7]  E Lesaffre,et al.  The detection of residual serial correlation in linear mixed models. , 1998, Statistics in medicine.

[8]  T. C. Haas,et al.  Model-based geostatistics. Discussion. Authors' reply , 1998 .

[9]  Steven G. Gilmour,et al.  The analysis of designed experiments and longitudinal data by using smoothing splines - Discussion , 1999 .

[10]  Christopher H. Morrell,et al.  Linear Transformations of Linear Mixed-Effects Models , 1997 .

[11]  Geert Verbeke,et al.  The Practical Use of Different Strategies to Handle Dropout in Longitudinal Studies , 2001 .

[12]  P J Diggle,et al.  Nonparametric estimation of covariance structure in longitudinal data. , 1998, Biometrics.

[13]  P. Diggle An approach to the analysis of repeated measurements. , 1988, Biometrics.

[14]  J. Ware,et al.  Random-effects models for longitudinal data. , 1982, Biometrics.

[15]  Geert Verbeke,et al.  Assessing the goodness-of-fit of the laird and ware model : An example : The jimma infant survival differential longitudinal study , 1999 .

[16]  H Goldstein,et al.  Multilevel time series models with applications to repeated measures data. , 1994, Statistics in medicine.