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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

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