The difficulties of predicting overall meal acceptability when subject
s have complete freedom to select from a wide range of possible foods
are discussed, and some solutions offered in the context of a study co
nducted in a student cafeteria. We identified several subgroups in the
data corresponding to different types of meals and modelled these sep
arately. Tree diagrams were found to be a useful aid to identifying su
bgroups and provided a quick summary of the numbers of subjects select
ing specific meal combinations. Some of the problems of using multiple
linear regression to model overall acceptability are discussed, parti
cularly the related problems of varied meal sizes and missing values i
nherent in a free selection environment.