This paper combines existing models for longitudinal and spatial data
in a hierarchical Bayesian framework, with particular emphasis on the
role of time- and space-varying covariate effects. Data analysis is im
plemented via Markov chain Monte Carlo methods. The methodology is ill
ustrated by a tentative re-analysis of Ohio lung cancer data 1968-1988
. Two approaches that adjust for unmeasured spatial covariates, partic
ularly tobacco consumption, are described. The first includes random e
ffects in the model to account for unobserved heterogeneity; the secon
d adds a simple urbanization measure as a surrogate for smoking behavi
our. The Ohio data set has been of particular interest because of the
suggestion that a nuclear facility in the southwest of the state may h
ave caused increased levels of lung cancer there. However, we contend
here that the data are inadequate for a proper investigation of this i
ssue. (C) 1998 John Wiley & Sons, Ltd.