Time to death and its associated factors among infants in sub-Saharan Africa using the recent demographic and health surveys: shared frailty survival analysis

Table 4 Model comparison with different distributional assumptions

Model	Baseline hazard distribution	Frailty distribution	Frailty variance (θ, p-value)	AIC	BIC	LRR
Cox-model	NA	Gamma	0.05, < 0.001	239,411	239,609	− 119,683
Shard frailty	Exponential	Gamma	0.06, < 0.001	76,330.47	76,247.13	−38,141.24
Shard frailty	Weibull	Gamma	0.06, < 0.001	76,168.05	76,393.73	−38,059.24
Shard frailty	Gompertz	Gamma	0.06, < 0.001	76,017.40	76,243.08	−37,983.70
Shard frailty	Log-logistic	Gamma		The model did not converge
Shard frailty	Lognormal	Gamma		The model did not converge

NB: Model with inverse Gaussian frailty distribution did not converge
NB: AIC = Akakian Information Criteria, BIC = Bayesian Information Criteria, LLR = Loglikelihood Ratio, NA = Not Applicable

ISSN: 1471-2431