Table 2. Summary of models fitted to measles data for Namibia and their corresponding deviance information criterion (DIC) and sum of log of conditional predictive ordinate (SumLog(CPO)).
ICAR—intrinsic conditional autoregressive structure model, CAR—Conditional Autoregressive, IID—identically distributed.
| Poisson model | Spatial component | Fixed effect | D | p | DIC | SumLog(CPO) |
|---|---|---|---|---|---|---|
| 1 | ICAR | None | 14617.09 | 94.73 | 14806.55 | -7558.995 |
| 2 | CAR | None | 14616.81 | 94.96 | 14806.73 | -7559.032 |
| 3 | IID | None | 14613.48 | 99.71 | 14812.9 | -7577.505 |
| 4 | ICAR | All covariates (parametric model) | 13173.53 | 152.61 | 13478.75 | -7104.421 |
| 5 | CAR | All covariates (parametric model) | 13173.23 | 152.76 | 13478.75 | -7104.024 |
| 6 | IID | All covariates (parametric model) | 13170.76 | 166.18 | 13503.12 | -7166.587 |
| 7 | ICAR | All covariates (non-parametric model) | 7532.17 | 104.02 | 7740.21 | -4297.502 |
| 8 | CAR | All covariates (non-parametric model) | 7531.79 | 104.20 | 7740.19 | -4298.066 |
| 9 | CAR | All covariates +time-space interaction (Type I) | 3765.80 | 617.93 | 5001.66 | -2853.179 |
| 10 | ICAR | All covariates + time-space interaction (Type I) | 3765.58 | 618.01 | 5001.60 | -2852.438 |
| 11 | CAR | All covariates + time-space interaction (Type I) + measurement error models | 3765.35 | 617.16 | 4999.69 | -2850.238 |
| 12 | ICAR | All covariates + time-space interaction (Type I) + measurement error model | 3748.53 | 629.33 | 5007.19 | -2893.197 |
| 13 | CAR | Covariates + time-space interaction (Type II) + measurement error models | 3766.41 | 617.16 | 5000.73 | -2835.843 |
| 14 | ICAR | Covariates + time-space interaction (Type II) + measurement error models | 3782.19 | 608.52 | 4999.23 | -2831.314 |