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Table 3 Bayesian Parameter Estimates and Goodness of Fit Measures for the Linear and Constrained Quadratic Models Applied to the Minnesota Data

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Parameter/
measure
Linear model (Constrained) quadratic model
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