Table 4.

Model comparison using the Vuong test.

Model Comparison	Vuong Test Statistic	p-Value	Preferred Model
NB vs. Poisson	39.50	<0.0001	NB
Hurdle–Poisson vs. Poisson	21.20	<0.0001	Hurdle–Poisson
Hurdle–NB vs. Poisson	39.81	<0.0001	Hurdle–NB
Hurdle–Poisson vs. NB	−35.66	<0.0001	NB
Hurdle–NB vs. NB	10.17	<0.0001	Hurdle–NB
Hurdle–NB vs. Hurdle–Poisson	36.48	<0.0001	Hurdle–NB

Bold indicates the preferred model.