Some general estimation methods for nonlinear mixed-effects model

Abstract

A nonlinear mixed-effects model suitable for characterizing repeated measurement data is described. The model allows dependence of random coefficients on covariate information and accommodates general specifications of a common intraindividual covariance structure, such as models for variance within individuals that depend on individual mean response and autocorrelation. Two classes of procedures for estimation in this model are described, which incorporate estimation of unknown parameters in the assumed intraindividual covariance structure. The procedures are straightforward to implement using standard statistical software. The techniques are illustrated by examples in growth analysis and assay development.

Keywords:

• Calibration
• Generalized least squares
• Growth analysis
• Heterogeneous variance
• Intraindividual covariance structure
• Repeated measurements