Table 3.

Comparison of the empirical, latent factor (LFA), latent class (LCA) and factor mixture models (FMM) by way of Akaike Information Criterion (AIC), Bayesian Information Criterion (BIC) and sample size adjusted Bayesian Information Criterion (sBIC). LFA analyses also include oblique (r) solutions. Best fitting model is based on consistent performance across three fit indices. Bolding indicates top two under each index.

Males	−2LL	df	AIC	BIC	sBIC
LFA – 1 dimension	18097.07	17127	−16156.93	−62005.35	−34794.35
LFA – 2 dimensions	17942.46	17116	−16289.54	−62037.02	−34843.49
LFA – 2 dimensions r	17942.46	17115	−16287.54	−62032.87	−34840.94
LFA – 3 dimensions
LCA – 1 class	19671.17	17140	−14608.83	−61272.23	−34040.58
LCA – 2 class	18147.99	17113	−16078.01	−61921.81	−34733.05
LCA – 3 class	17964.42	17087	−16209.58	−61905.73	−34758.28
FMM – 1 factor 2 class	17976.43	17089	−16201.57	−61908.02	−34757.39
FMM – 1 factor 3 class	17762.09	17051	−16339.91	−61857.54	−34767.29
Females	−2LL	df	AIC	BIC	sBIC
LFA - 1 dimension	8705.13	9325	−9944.87	−33343.15	−18528.34
LFA - 2 dimension	8659.90	9314	−9968.10	−33321.29	−18523.97
LFA - 2 dimensions r	8659.90	9313	−9966.10	−33317.25	−18521.51
LFA - 3 dimension
LCA - 1 class	9382.87	9338	−9293.13	33056.83	−18221.37
LCA - 2 class	8731.30	9311	−9890.70	−33273.46	−18480.90
LCA - 3 class	8638.88	9285	−9931.12	−33214.57	−18463.32
FMM - 1 factor 2 class	8677.89	9287	−9896.11	−33203.15	−18448.72
FMM - 1 factor 3 class	8517.28	9249	−9980.73	−33129.85	−18435.79

−2LL = −2 × Log Likelihood