Statistics / Biometrics / Spatial Statistics / Public Health / Multivariate Analysis / Humans / Computer Simulation / Mean square error / Markov Chain Monte Carlo / Marginal Models / Minnesota / Random Effects Model / Bayesian hierarchical model / Data Model / Multivariate Data / Bayes Theorem / Spatial Dependence / Markov Random Field / Humans / Computer Simulation / Mean square error / Markov Chain Monte Carlo / Marginal Models / Minnesota / Random Effects Model / Bayesian hierarchical model / Data Model / Multivariate Data / Bayes Theorem / Spatial Dependence / Markov Random Field