Table 1: Vuong non-nested test results.

Model comparison

Vuong Test Statistic (p-value)

Preferable Model

Poisson Vs. Negative Binomial

 -19.33141 (2,22e-16)

Negative binomial

Negative binomial Vs. ZIP

-16.55746 (2,22e-16)

ZIP

ZIP Vs. ZINB      

-7.913903 (1.2472e-15)

ZINB

ZINB Vs. Poisson Hurdle

7.990348 (6.6613e-16)

ZINB

ZINB Vs. NB Hurdle          

2.199229 (0.013931)

ZINB