. Author manuscript; available in PMC: 2016 Sep 7.

Published in final edited form as: Biometrics. 2016 Feb 17;72(3):986–994. doi: 10.1111/biom.12492

Table 4. Goodness-of-fit statistics for alternative models fit to dental caries indices in young children.

Model	# parameters	-2 logLik	AIC	BIC
Homogeneous model
Poisson	6	8574.8	8586.8	8615.5
Beta Binomial	7	3787.4	3801.4	3834.8
Negative Binomial	7	3980.2	3994.2	4027.6
ZI model with latent mean
Poisson	11	5873.4	5895.4	5947.9
Beta Binomial	12	3749.1	3773.1	3830.4
Negative Binomial	12	3744.8	3768.8	3826.1
ZI model with marginal mean^∓
Poisson	11	5901.4	5923.4	5975.9
Beta Binomial	12	3780.7	3804.7	3862.0
Negative Binomial	12	3755.0	3779.0	3836.3

^∓

Marginal log-logit model