Table 2. Simulation results for the mean ratio (one unit increase in continuous exposure), for the derived mean estimation from a latent (conventional) log-logit model, and the direct mean estimation from a marginal log-logit working model, with data generated from ZINB models.
| Latent log-logit working model Derived marginal mean estimation |
Marginal log-logit working model Direct marginal mean estimation |
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| True MR | n | EMR | RB(%) | MSE | CP(%) | AIC | EMR | RB(%) | MSE | CP(%) | AIC |
| Data generated from a ZINB model with a marginally specified mean | |||||||||||
| 0.607 | 50 | 0.592 | -2.38 | 0.014 | 97.4 | 162.16 | 0.620 | 2.22 | 0.012 | 94.3 | 162.29 |
| 100 | 0.592 | -2.41 | 0.007 | 98.5 | 317.52 | 0.612 | 0.94 | 0.005 | 93.4 | 317.34 | |
| 200 | 0.592 | -2.32 | 0.003 | 99.3 | 625.57 | 0.606 | -0.05 | 0.003 | 94.6 | 625.31 | |
| 500 | 0.594 | -2.10 | 0.001 | 98.8 | 1559.95 | 0.605 | -0.30 | 0.001 | 94.6 | 1559.14 | |
| 1000 | 0.595 | -1.88 | 0.0007 | 98.7 | 3110.13 | 0.606 | -0.11 | 0.0005 | 93.6 | 3108.68 | |