| Simulation Model |
κ |
Estimate |
Bias |
MCSE |
Mean of SEs |
MSE |
CP (%) |
| Weibull |
0 |
 |
0.004 |
0.083 |
0.085 |
0.007 |
95.5 |
| |
|
 |
0.003 |
0.089 |
0.092 |
0.008 |
95.3 |
| |
|
 |
0.003 |
0.082 |
0.081 |
0.007 |
95.6 |
| Mixed Poisson |
1 |
|
0.013 |
0.146 |
0.145 |
0.021 |
95.2 |
| |
|
|
0.013 |
0.149 |
0.148 |
0.022 |
95.1 |
| |
|
|
0.013 |
0.149 |
0.148 |
0.022 |
95.0 |
| Mixed Poisson |
2 |
|
0.027 |
0.200 |
0.202 |
0.041 |
95.5 |
| |
|
|
0.030 |
0.202 |
0.204 |
0.042 |
95.6 |
| |
|
|
0.030 |
0.203 |
0.206 |
0.042 |
95.3 |
| Increase+Stable |
1/2 |
|
0.005 |
0.110 |
0.105 |
0.012 |
94.6 |
| |
|
|
0.002 |
0.095 |
0.096 |
0.009 |
94.7 |
| |
|
|
0.002 |
0.094 |
0.096 |
0.009 |
94.7 |
| Increase+Stable |
1 |
|
0.007 |
0.144 |
0.145 |
0.021 |
94.4 |
| |
|
|
0.007 |
0.138 |
0.137 |
0.019 |
94.8 |
| |
|
|
0.005 |
0.136 |
0.138 |
0.019 |
95.1 |
| Increase+Decrease |
1/2 |
|
0.010 |
0.118 |
0.117 |
0.014 |
94.2 |
| |
|
|
0.010 |
0.117 |
0.118 |
0.014 |
94.6 |
| |
|
|
0.006 |
0.108 |
0.109 |
0.012 |
95.3 |
| Increase+Decrease |
1 |
|
0.012 |
0.161 |
0.160 |
0.026 |
94.3 |
| |
|
|
0.013 |
0.161 |
0.161 |
0.026 |
94.6 |
| |
|
|
0.013 |
0.156 |
0.156 |
0.025 |
94.6 |
|
| Abbreviations: NB=Negative binomial; PWNB=Piecewise negative binomial; MCSE=Monte Carlo standard error; SE=Stand error; MSE=Means square error; CP =95% CI coverage probability; κ=Overdispersion parameter |
| Table 3: Comparison of different estimates of the overall relative rate through bias, MCSE, mean of SEs, and MSE of relative rate and 95% CI coverage probability (CP) based on 5,000 Monte Carlo simulations (true relative rate ζ=1.0). |
