We investigate a Bayesian approach to modelling the statistical association between markers at multiple loci and multivariate quantitative traits. In particular, we describe the use of Bayesian Seemingly Unrelated Regressions (SUR) whereby genotypes at the different loci are allowed to have non-simultaneous effects on the phenotypes considered with residuals from each regression assumed correla...

In this article we consider the estimation of two seemingly unrelated Tobit regressions in which the dependent variables are truncated normal. The model is useful, since it can be viewed as the reduced form of a simultaneous-equations Tobit model. The proposed estimation method and algorithm are interesting in themselves for the following reasons. In the estimation of a simultaneous equations m...