TABLE 3 Bayesian Parameter Estimates and Goodness of Fit Measures for the Linear and Constrained Quadratic Models Applied to the Minnesota Data,,,,,,, ,Linear model,,,(Constrained) quadratic model,,, "Parameter/ measure",Mean,2.5 percentile,97.5 percentile,Mean,2.5 percentile,97.7 percentile, b1,0.19,0.03,0.46,–0.014,–0.013,0.381, b2,—,—,—,0.006,0.0003,0.016, Deviance,40.3,29.5,47.9,40.6,30.8,48.5, DIC,,41.1,,,40.3,,