ABSTRACT

The G M A N O V A model of Chapter 5 extends the A N O V A and

M A N O V A models for repeated measurements by including linear regression-

type arguments into the overall model. It is therefore ideally suited for studies

where we wish to model and compare some underlying response curve using,

say, polynomial growth curves. The difficulty wi th the G M A N O V A model is

that it is only designed to handle balanced and complete data. As was

discussed in Chapter 5, there are methods available for handling missing or

incomplete data provided such data are missing at random. However, these

methods do not address the problem of unbalanced data as found in

longitudinal studies where observations are taken at irregularly spaced

intervals. Nor do they address the issue of missing data when the data are not

missing at random. In this chapter, we focus on a class of linear mixed-effects

models which find numerous applications for studies wi th unbalanced repeated

measurements. W e start first wi th a class of random-coefficient growth curve

models which represent a natural extension of the G M A N O V A model.