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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