Case-control data with imprecise exposure measurements can be analyzed via Bayesian fitting of a retrospective discriminant analysis model. The parameters of interest are the regression coefficients in the prospective log-odds ratio for disease. Under a standard noninformative prior, the...

Consider using regression modelling to relate an exposure (predictor) variable to a disease outcome (response) variable. If the exposure variable is measured with error, but this error is ignored in the analysis, then misleading inferences can result. This problem is well known and has spawned a...