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Table 3 Model comparison based on AIC, -2 Log likelihood and Vuong’s test for the competing models (p-values for Vuong’s test are given in the parentheses)

From: Modeling socio-demographic and clinical factors influencing psychiatric inpatient service use: a comparison of models for zero-Inflated and overdispersed count data

Model AIC -2 Log likelihood Vuong’s test
    NB ZIP ZINB HP HNB
Poisson 16839 16807 -5.812 -6.164 -6.035 -6.004 -5.958
    (<0.001) (<0.001) (<0.001) (0.009) (<0.001)
NB 15689 15655   -1.477 -4.852 -0.764 -4.236
     (<0.069) (<0.001) (0.222) (<0.001)
ZIP 15664 15590    -3.823 2.346 -3.269
      (<0.001) (0.009) (<0.001)
ZINB 15572 15496     4.615 -0.178
       (<0.001) (0.4292)
HP 15644 15570      -4.444
        (<0.001)
HNB 15534 15458