Table 3 The results of goodness-of-fit statistics and tests for four intercept-only models
Models | Log likelihood | AIC | The likelihood ratio test (p-Value)a | The Vuong test (p-Value)b |
|---|---|---|---|---|
Aggressiveness with police dispatch or violent crime | ||||
 Poisson | -4827.2 | 9656.4 | 4893.7(< 0.001) | -4.2(< 0.001) |
 NB | -2380.3 | 4764.7 | — | -4.1(< 0.001) |
 ZIP | -2870.0 | 5744.1 | 1121.8(< 0.001) | — |
 ZINB | -2309.1 | 4624.3 | — | — |
Aggressiveness without police dispatch | ||||
 Poisson | -18,726.1 | 37,454.2 | 22,152.0(< 0.001) | -8.6(< 0.001) |
 NB | -7650.2 | 15,304.4 | — | -0.002 (= 0.499) |
 ZIP | -10,786.3 | 21,576.6 | 6272.2(< 0.001) | — |
 ZINB | -7650.2 | 15,306.4 | — | — |
Self-harm or suicide attempts | ||||
 Poisson | -990.9 | 1983.7 | 513.4(< 0.001) | -1.6(= 0.054) |
 NB | -734.2 | 1472.4 | — | -1.7(= 0.046) |
 ZIP | -762.7 | 1529.3 | 92.8(< 0.001) | — |
 ZINB | -716.3 | 1438.6 | — | — |