From: Individual level covariate adjusted conditional autoregressive (indiCAR) model for disease mapping
True value | indiCAR | Leroux et al. [7] approach | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(\beta _0\) −0.20 | \(\beta _1\) −2.50 | \(\beta _2\) 0.70 | \(\beta _{32}\) −2.00 | \(\beta _{33}\) −1.50 | \(\beta _{34}\) 0.20 | \(\beta _{35}\) 0.50 | \(\beta _{36}\) 0.80 | \(\gamma\) 0.20 | \(\sigma\) 0.40 | \(\lambda\) | \(\gamma\) 0.20 | \(\sigma\) 0.40 | \(\lambda\) | |
\(\lambda\) | Estimated coefficient | |||||||||||||
 0.00 | −0.178 | −2.500 | 0.700 | −1.997 | −1.500 | 0.201 | 0.501 | 0.800 | 0.199 | 0.396 | 0.019 | 0.198 | 0.442 | 0.069 |
 0.25 | −0.174 | −2.499 | 0.699 | −1.997 | −1.498 | 0.200 | 0.501 | 0.801 | 0.198 | 0.395 | 0.251 | 0.198 | 0.421 | 0.304 |
 0.50 | −0.162 | −2.500 | 0.700 | −2.001 | −1.501 | 0.200 | 0.500 | 0.801 | 0.198 | 0.396 | 0.503 | 0.198 | 0.413 | 0.523 |
 0.75 | −0.152 | −2.501 | 0.701 | −2.005 | −1.499 | 0.201 | 0.500 | 0.800 | 0.198 | 0.394 | 0.736 | 0.198 | 0.407 | 0.722 |
 0.99 | −0.144 | −2.499 | 0.700 | −2.000 | −1.500 | 0.200 | 0.499 | 0.799 | 0.199 | 0.396 | 0.958 | 0.199 | 0.412 | 0.950 |
 | Empirical standard error | |||||||||||||
 0.00 | 0.033 | 0.016 | 0.012 | 0.059 | 0.039 | 0.025 | 0.026 | 0.026 | 0.021 | 0.030 | 0.028 | 0.022 | 0.035 | 0.056 |
 0.25 | 0.037 | 0.016 | 0.011 | 0.060 | 0.039 | 0.027 | 0.026 | 0.027 | 0.017 | 0.033 | 0.101 | 0.017 | 0.035 | 0.106 |
 0.50 | 0.042 | 0.016 | 0.012 | 0.058 | 0.040 | 0.027 | 0.027 | 0.026 | 0.016 | 0.029 | 0.130 | 0.016 | 0.028 | 0.120 |
 0.75 | 0.054 | 0.016 | 0.012 | 0.061 | 0.039 | 0.028 | 0.027 | 0.028 | 0.013 | 0.025 | 0.114 | 0.014 | 0.025 | 0.106 |
 0.99 | 0.209 | 0.017 | 0.012 | 0.064 | 0.038 | 0.027 | 0.027 | 0.027 | 0.012 | 0.020 | 0.037 | 0.013 | 0.020 | 0.043 |
 | Average of the simulated standard error | |||||||||||||
 0.00 | 0.034 | 0.016 | 0.012 | 0.061 | 0.039 | 0.027 | 0.027 | 0.027 | 0.021 | 0.016 | 0.026 | 0.022 | 0.018 | 0.031 |
 0.25 | 0.036 | 0.016 | 0.012 | 0.061 | 0.039 | 0.028 | 0.027 | 0.027 | 0.017 | 0.017 | 0.053 | 0.018 | 0.018 | 0.058 |
 0.50 | 0.041 | 0.016 | 0.012 | 0.062 | 0.039 | 0.028 | 0.027 | 0.027 | 0.015 | 0.018 | 0.079 | 0.015 | 0.018 | 0.080 |
 0.75 | 0.028 | 0.016 | 0.012 | 0.062 | 0.039 | 0.028 | 0.027 | 0.027 | 0.014 | 0.019 | 0.086 | 0.014 | 0.019 | 0.086 |
 0.99 | 0.130 | 0.016 | 0.012 | 0.062 | 0.040 | 0.028 | 0.027 | 0.028 | 0.013 | 0.019 | 0.034 | 0.013 | 0.020 | 0.038 |