M. Davidian et Dm. Giltinan, SOME SIMPLE METHODS FOR ESTIMATING INTRAINDIVIDUAL VARIABILITY IN NONLINEAR MIXED EFFECTS MODELS, Biometrics, 49(1), 1993, pp. 59-73
Methods are proposed to improve both population and individual inferen
ce within the nonlinear random coefficient regression framework by inc
orporating possible heterogeneity in the intraindividual variance stru
cture. These methods extend existing variance function estimation tech
niques by pooling information across individuals. The methods are appr
opriate when it is reasonable to assume that there exists a common int
raindividual variance structure. Two common situations in which this a
ssumption may be reasonable are assay development and calibration and
pharmacokinetic modeling. The proposed methods are illustrated using e
xamples from both of these fields.