Table 18.
AIC and BIC of regression models fitted on data generated with ZINB regression model, n = 1000
| AIC | BIC | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Dispersion | Proportion of Zeros | Poisson | NB | ZIP | ZINB | Poisson | NB | ZIP | ZINB |
| 0.01 | 0.1 | 6684.63 | 6143.38 | 5565.15 | 6052.92 | 6699.35 | 6163.02 | 5594.60 | 5420.31 |
| 0.3 | 8824.90 | 6064.34 | 4915.65 | 4924.89 | 8839.63 | 6083.97 | 4945.10 | 5931.34 | |
| 0.5 | 9777.68 | 5020.98 | 4015.15 | 4043.07 | 9792.40 | 5040.61 | 4044.60 | 4073.87 | |
| 0.7 | 9023.63 | 3466.21 | 2799.39 | 3385.59 | 9038.36 | 3485.85 | 2828.84 | 2833.13 | |
| 1 | 0.1 | 13,858.97 | 6504.03 | 11,178.92 | 6486.14 | 13,873.70 | 6523.66 | 11,208.37 | 6544.02 |
| 0.3 | 14,382.64 | 5698.27 | 9230.42 | 5630.25 | 14,397.36 | 5717.90 | 9259.87 | 5724.47 | |
| 0.5 | 13,733.09 | 4553.36 | 7032.62 | 4490.56 | 13,747.81 | 4572.99 | 7062.07 | 4518.57 | |
| 0.7 | 11,386.64 | 3105.34 | 4560.08 | 3089.41 | 11,401.36 | 3124.97 | 4589.52 | 3062.81 | |
| 5 | 0.1 | 28,903.48 | 5055.91 | 17,208.02 | 5059.30 | 28,918.20 | 5075.55 | 17,237.47 | 5094.76 |
| 0.3 | 26,089.74 | 4186.58 | 13,612.61 | 4189.29 | 26,104.46 | 4206.21 | 13,642.06 | 4223.62 | |
| 0.5 | 21,943.54 | 3211.80 | 9862.55 | 3213.03 | 21,958.27 | 3231.43 | 9891.99 | 3244.95 | |
| 0.7 | 16,243.74 | 2112.63 | 6053.74 | 2114.34 | 16,258.46 | 2132.26 | 6083.19 | 2145.26 | |
| 10 | 0.1 | 38,248.13 | 3928.96 | 19,291.56 | 3932.52 | 38,262.85 | 3948.59 | 19,321.01 | 3966.42 |
| 0.3 | 33,318.61 | 3211.97 | 15,134.62 | 3215.36 | 33,333.33 | 3231.60 | 15,164.07 | 3248.79 | |
| 0.5 | 26,982.05 | 2431.72 | 10,754.37 | 2434.39 | 26,996.77 | 2451.35 | 10,783.82 | 2467.68 | |
| 0.7 | 19,259.10 | 1582.60 | 6502.62 | 1592.23 | 19,273.82 | 1602.23 | 6532.07 | 1618.24 | |