Table A2.

Simulation Scenario 2 Under ${\lambda }_j=100$, ${\lambda }_{jk}=100$, and a Gamma (2, 1/10) prior for ${\psi }_j$: Results related to the predictive distribution of the response variable, under Scenario 2, when the first 2 covariates (representing real SSTs) are included in the true Poisson regression model. Method 1 retains all covariates; Method 2 discards the covariates with missing values. Results are averaged over 100 simulated data sets.

Method	Cor.Pearson	Cor.Spearman	RMSE	MAE	Coverage		Size
Method	Cor.Pearson	Cor.Spearman	RMSE	MAE	Equal-tailed	HPD	Equal-tailed	HPD
Hierarchical	0.31	0.29	3.46	2.66	0.94	0.93	14.00	12.65
No missing	0.65	0.60	2.78	2.14	0.94	0.93	10.11	9.78
Method 1	0.56	0.52	3.04	2.33	0.93	0.91	10.98	10.38
Method 2	0.55	0.52	3.02	2.32	0.92	0.89	10.13	9.82