Table 2.

Random effects and model fit

Statistic	Null	Model 1	Model 2
Log likelihood	-10504.560	-10024.980	-9937.540
AIC	21015.110	20091.960	19921.070
BIC	21038.140	20253.180	20097.640
Province variance	0.118	0.105	0.113
County variance	0.119	0.121	0.121
ICC (Province)	0.034	0.030	0.032
ICC (County)	0.067	0.064	0.067
LR test vs. single-level model	χ²=596.48, p < 0.001	χ²=520.10, p < 0.001	χ²=528.61, p < 0.001

AIC Akaike Information Criterion, BIC Bayesian Information Criterion, ICC intraclass correlation coefficient, LR test  likelihood-ratio test comparing multilevel models with a single-level model. Lower values of AIC and BIC indicate better model fit