This article focuses on the location, time, and spatio-temporal compon
ents associated with suitably aggregated data to improve prediction of
individual asset values. Such effects are introduced in the context o
f hierarchical models, which we find more natural than attempting to m
odel covariance structure. Indeed, our cross-sectional database, a sam
ple of 7,936 transactions for 49 subdivisions over a 10-year period in
Baton Rouge, Louisiana, precludes covariance modeling. A wide range o
f models arises, each fitted using sampling-based methods because like
lihood-based fitting may not be possible. Choosing among an array of n
onnested models is carried out using a posterior predictive criterion.
In addition, one year of data is held out for model validation. A tho
rough analysis of the data incorporating all of the aforementioned iss
ues is presented.