. Author manuscript; available in PMC: 2019 Aug 29.

Published in final edited form as: Int J Drug Policy. 2017 Feb 1;43:7–15. doi: 10.1016/j.drugpo.2016.12.008

Table 2.

Model fit indices for latent profile analyses of commodity and service patterns among 327,758 harm reduction clients in Ukraine, 2011–2014

	1 class	2 classes	3 classes	4 classes	5 classes	6 classes
Number of Free Parameters	17	28	39	50	61	72
Loglikelihood
H₀ Value	−2380830·52	−2152133·602	−2081795·283	−2026755·576	−1986706·155	−1910175·937
H₀ Scaling Correction Factor for MLR	1·1569	1·1807	1·4011	1·7655	1·6852	2·5581
Information Criteria
AIC	4761695·041	4304323·204	4163668·566	4053611·151	3973534·311	3820495·873
BIC	4761876·941	4304622·805	4164085·868	4054146·153	3974187·013	3821266·275
Sample-Size Adjusted BIC (n* = (n + 2) / 24)	4761822·915	4304533·82	4163961·924	4053987·25	3973993·152	3821037·456
VUONG-LO-MENDELL-RUBIN LIKELIHOOD RATIO TEST FOR 1 (H₀) VERSUS X CLASSES
H₀ Loglikelihood Value		−2380830·52	−2152133·602	−2081795·285	−2024390·907	−2034810·19
2 Times the Loglikelihood Difference		457393·837	140676·638	110079·418	75369·503	30935·587
Difference in the # of Parameters		11	11	11	10	11
Mean		24·645	171·177	1023·008	341·417	145·522
Standard Deviation		23·809	236·321	1633·437	1454·091	323·518
p value		<0·001	<0·001	0·333	<0·001	<0·001
LO-MENDELL-RUBIN ADJUSTED LRT TEST
Value		454143·000	139676·806	109297·050	74780·680	30715·718
p value		<0·001	<0·001	0·3333	<0·001	<0·001
PARAMETRIC BOOTSTRAPPED LIKELIHOOD RATIO TEST FOR 1 (H₀) VERSUS X CLASSES
H₀ Loglikelihood Value		−2380830·52	−2152133·602	−2081795·285	−2024390·907	−1929141·322
2 Times the Loglikelihood Difference		457393·837	140676·638	110079·418	75369·503	37930·771
Difference in the # of Parameters		11	11	11	10	11
Approximate p value		<0·001	<0·001	<0·001	<0·001	0·051
Successful Bootstrap Draws		5	5	5	5	5
Entropy		0·851	0·803	0·864	0·826	0·833

H₀ = null hypothesis; MLR = Maximum likelihood ratio; AIC = Akaike information criterion; BIC = Bayesian information criterion