Table 3 Comparison of estimated time and conditional AIC between indiCAR and other methods when data are generated without spatial random effect, \({\varvec{\lambda }}=0\)
From: Individual level covariate adjusted conditional autoregressive (indiCAR) model for disease mapping
Sample per group | Total sample | Time to convergence (s) | Conditional AIC | ||||||
|---|---|---|---|---|---|---|---|---|---|
indiCAR | glmer with random intercept | hlmer with random intercept | hlmer with CAR | indiCAR | glmer with random intercept | hlmer with random intercept | hlmer with CAR | ||
Data generated in 100 groups | |||||||||
 1:50 | 2373 | 0.73 | 1.98 | 0.43 | 2.36 | 1419.26 | 1492.26 | 1445.65 | 1445.87 |
 1:100 | 5056 | 2.09 | 5.26 | 0.55 | 2.93 | 3170.9 | 3225.28 | 3194.03 | 3193.98 |
 1:500 | 26,473 | 10.34 | 23.63 | 1.65 | 12.96 | 15,996.05 | 15,968.02 | 15,955.41 | 15,955.40 |
 1:1000 | 48,778 | 37.25 | 53.25 | 3.01 | 29.68 | 31,063.34 | 31,011.67 | 31,001.58 | 31,001.72 |
Data generated in 400 groups | |||||||||
 1:50 | 10,192 | 51.39 | 9.44 | 2.64 | 97.45 | 6027.28 | 6242.24 | 6097.72 | 6097.84 |
 1:100 | 19,843 | 73.31 | 33.13 | 11.39 | 244.02 | 12,017.28 | 12,185.15 | 12,037.20 | 12037.27 |
 1:500 | 98,870 | 140.74 | 71.96 | 38.91 | Not feasible | 59,061.39 | 58,929.01 | 58,879.30 | Not feasible |
 1:1000 | 205,952 | 207.84 | 214.51 | 149.96 | Not feasible | 121,733.50 | 121,533.80 | 121,510.20 | Not feasible |