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Table 1 The likelihood ratio test (LRT) and Vuong test among the ZIP, ZINB, PLH, and NBLH models

From: Bayesian negative binomial logit hurdle and zero-inflated model for characterizing smoking intensity

Likelihood ratio Test for nested models

Model

Hypothesis

p-value

Preferable model

ZIP = PLH vs ZINB = NBLH

H0:\(\varnothing \) =0 VS H1:\(\varnothing \) >0

 < 2.2e−16

ZINB = NBLH

Vuong test for non-nested models

Model

Hypothesis

Vuong statistics

p-value

Comment

ZIP vs PLH

Model1 = model2 vs Model1 > model2

1.216179

0.11196

ZIP = PLH

ZINB vs NBLH

Model1 = model2 vs Model1 > model2

1.234438

0.10852

ZINB = NBLH