Table 9.
AIC and BIC of regression models fitted on data generated with ZIP regression model
| AIC | BIC | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Sample Size | Proportion of Zeros | Poisson | NB | ZIP | ZINB | Poisson | NB | ZIP | ZINB |
| 50 | 0.1 | 330.55 | 309.147 | 325.14 | 294.95 | 334.992 | 315.629 | 335.50 | 306.43 |
| 0.3 | 433.015 | 307.129 | 261.57 | 298.20 | 437.754 | 315.322 | 273.83 | 311.98 | |
| 0.5 | 475.166 | 256.639 | 204.79 | 235.84 | 479.329 | 263.507 | 215.14 | 244.69 | |
| 0.7 | 431.434 | 179.094 | 144.05 | 156.10 | 434.473 | 186.103 | 154.85 | 166.43 | |
| 200 | 0.1 | 1316.84 | 1225.51 | 1314.41 | 1109.70 | 1329.63 | 1239.56 | 1338.93 | 1130.06 |
| 0.3 | 1749.24 | 1215.96 | 970.82 | 1138.99 | 1756.33 | 1229.85 | 990.56 | 1160.73 | |
| 0.5 | 1936.33 | 1009.57 | 798.26 | 880.09 | 1942.94 | 1020.93 | 815.54 | 902.58 | |
| 0.7 | 1782.48 | 698.492 | 559.00 | 568.73 | 1793.98 | 714.057 | 580.31 | 590.12 | |
| 600 | 0.1 | 3960.45 | 3674.16 | 3703.56 | 3219.10 | 3969.41 | 3690.25 | 3719.15 | 3256.71 |
| 0.3 | 5250.21 | 3641.94 | 2902.96 | 3292.35 | 5267.11 | 3657.86 | 2926.41 | 3308.48 | |
| 0.5 | 5834.42 | 3016.79 | 2381.02 | 2516.09 | 5845.18 | 3032.01 | 2404.95 | 2553.38 | |
| 0.7 | 5387.17 | 2084.75 | 1664.94 | 1666.35 | 5410.3 | 2107.83 | 1695.38 | 1698.18 | |
| 1000 | 0.1 | 6596.51 | 6120.87 | 5475.69 | 5298.91 | 6611.8 | 6140.44 | 5520.85 | 5324.98 |
| 0.3 | 8756.95 | 6066.9 | 4846.20 | 5902.66 | 8782 | 6084.58 | 4866.44 | 5907.23 | |
| 0.5 | 9735.86 | 5026.48 | 3966.62 | 3995.33 | 9745.98 | 5047.67 | 3996.49 | 4027.83 | |
| 0.7 | 8987.2 | 3469.05 | 2768.75 | 2770.02 | 9004.26 | 3487.81 | 2799.32 | 2801.99 | |