Table 1.

HERS model fit comparisons with different assumed random effect distributions

Model	Log likelihood	Parameter Estimates				Prediction
		BMI	Visit	Age	$log({\widehat{\sigma }}_{\mathit{int}}^2)$	RMSE
Fixed effects only	−20610.6	0.36	2.20	0.40	4.60	17.4
Random intercepts
Gaussian	−20610.6	0.36	2.20	0.40	4.60	14.0
Exponential	−20693.9	0.37	2.20	0.40	4.83	14.3
Discrete	−20627.6	0.36	2.20	0.37	4.55	14.3
Tukey	−20605.6	0.36	2.19	0.39	4.56	14.0
Random intercepts and slopes
Gaussian	−20494.6	0.35	2.21	0.35	3.79	14.2
Exponential	−20563.7	0.36	2.19	0.38	4.10	14.6
Discrete	−20510.0	0.35	2.22	0.32	3.78	14.8