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Table 3 Vuong non-nested hypothesis Test-statistic

From: Bayesian zero-inflated regression model with application to under-five child mortality

Vuong non-nested hypothesis Test-statistic
M1 M2 V-statistics (P-value) Model comparization Preferable model
Poisson ZIP − 8.555 (< 2.22e−16) model2 > model1 ZIP
NB ZIP − 3.829 (6.4356e−05) model2 > model1 ZIP
Poisson ZINB − 8.664 (< 2.22e−16) model2 > model1 ZINB
NB ZINB − 4.466 (3.9850e−06) model2 > model1 ZINB
Poisson PLH − 8.706 (< 2.22e−16) model2 > model1 PLH
NB PLH − 4.261 (1.0149e−05) model2 > model1 PLH
PLH ZIP 0.742 (0.229) model1 > model2 PLH = ZIP
PLH ZINB 0.335 (0.36879) model1 > model2 PLH = ZINB
NBLH Poisson 8.794 (< 2.22e−16) model1 > model2 NBLH
NBLH NB 4.984 (3.1215e−07) model1 > model2 NBLH
NBLH ZIP 0.979 (0.16379) model1 > model2 NBLH = ZIP
NBLH ZINB 0.656 (0.25589) model1 > model2 NBLH = ZINB