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).