Hj. Beacon et Sg. Thompson, MULTILEVEL MODELS FOR REPEATED MEASUREMENT DATA - APPLICATION TO QUALITY-OF-LIFE DATA IN CLINICAL-TRIALS, Statistics in medicine, 15(24), 1996, pp. 2717-2732
Quality of life data present considerable statistical challenges becau
se of their longitudinal and multi-dimensional nature, and also becaus
e the available data are often very unbalanced through missing values.
Here we exemplify the potential of multi-level models, that is, hiera
rchical random coefficient models, for such data. The discussion is de
veloped in the context of analysing the quality of life data from a tr
ial of palliative treatment in non-small-cell lung cancer. Not only do
multi-level models provide a flexible modelling framework for the inv
estigation of the underlying behaviour of response, for example, givin
g simple estimates of treatment effects, but they also permit a descri
ption of the differences between subjects and allow the analysis of mu
lti-dimensional outcomes. The assumptions of Normality, homogeneity, a
nd independence of the within- and between-subject variance components
can be investigated and the models can be extended to provide explici
t modelling of variance heterogeneity. It is concluded that multi-leve
l models, for which software is now available, provide a natural and p
owerful approach to the analysis of longitudinal data in general, and
multi-dimensional quality of life data in particular.