Table 1.

Fit Criteria for Latent Profile Models

Variable	# states	LMR LRT	p	BIC	n Adj BIC
% Heavy Drinking Days
Baseline	2	292.36	< 0.001	12912.83	12900.13
	3	81.50	0.022	12840.16	12821.10
	4	75.45	0.015	12773.96	12748.55
Week 16	2	1006.49	< 0.001	12704.52	12672.76
	3	638.40	< 0.001	11292.84	11280.14
	4	259.20	0.038	10624.22	10605.16
Week 52	2	850.88	< 0.001	10361.27	10335.85
	3	501.30	< 0.001	10069.37	10037.61
	4a	0	0.500	10927.08	10914.37
SF-12 Mental Health
Baseline	2	43.33	0.014	4063.14	4050.44
	3	25.28	0.201	4050.51	4031.45
Week 16	2	202.20	< 0.001	2842.29	2829.59
	3	57.13	0.087	2795.08	2776.03
Week 52	2	117.45	< 0.001	2645.87	2633.17
	3	51.37	< 0.001	2604.45	2585.39
SF-12 Physical
Baseline	2	207.74	< 0.001	3127.40	3114.70
	3	45.83	0.017	3092.79	3073.73
	4	15.20	0.092	3090.94	3065.53
Week 16	2	287.71	< 0.001	2038.40	2025.69
	3	71.06	0.014	1976.26	1957.21
	4	20.39	0.175	1968.42	1943.01
Week 52	2	221.48	0.011	2174.70	2162.00
	3	96.72	< 0.001	2084.62	2065.56
	4	30.57	0.150	2065.52	2040.11

Note. The Lo-Mendell-Rubin (LMR) Likelihood Ratio Test (LRT) provides a test of the difference in fit between n and n-1 states. A significant LMR LRT suggests that an n state solution is preferred over an n-1 state solution.

^aThe 4-state Week 52 % Heavy Drinking Days model did not converge.

BIC = Bayesian Information Criterion; n Adj = sample size adjusted; SF-12 = Medical Outcomes Study Health Survey, Short Form-12 version 2.