Table 2.
Alternative Model Specification and Fit Statistics
| Terms: α0 represents the intercept or grand mean; ui is a spatial random effect; vi is a non-spatial random effect; | |||
|---|---|---|---|
| Model | Components | DIC | n.eff |
| 1. Simple random effects, vi | α0 + vi | 150371.4 | 2316 |
| 2. Spatial ui and non-Spatial vi, random effects | α0 + ui + vi | 149966.2 | 2316 |
| Random time effects | |||
| 3. Correlated time effects, φ1t | α0 + ui + vi + φ1t | 148008.6 | 1884 |
| 4. Uncorrelated time effects, φ2t | α0 + ui + vi + φ2t | 148010.3 | 1886 |
| Full Model | |||
| 5. Space time interaction term, ψit | α0 + ui + vi + φ2t + ψit | 147821.9 | 2766 |
| Full Model with Covariates | |||
| 6. All components and covariates | α0 + ui + vi + φ1t + ψit + Xit′β | 147181.1 | 1896 |
φ1t and φ2t are the temporal random effects, ψit is the space-time interaction term, which is independently and identically distributed, accounting for any residual spatiotemporal variation; and Xit′β represent the matrix of time-varying covariates and the corresponding coefficients.