The aggregate data study design provides an alternative group level analysi
s to ecological studies in the estimation of individual level health risks.
An aggregate model is derived by aggregating a plausible individual level
relative rate model within groups, such that population-based disease rates
are modelled as functions of individual level covariate data. We apply an
aggregate data method to a series of fictitious examples from a review pape
r by Greenland and Robins which illustrated the problems that can arise whe
n using the results of ecological studies to make inference about individua
l health risks. We use simulated data based on their examples to demonstrat
e that the aggregate data approach can address many of the sources of bias
that are inherent in typical ecological analyses, even though the limited b
etween-region covariate variation in these examples reduces the efficiency
of the aggregate study. The aggregate method has the potential to estimate
exposure effects of interest in the presence of non-linearity. confounding
at individual and group levels, effect modification, classical measurement
error in the exposure and non-differential misclassification in the confoun
der.