Analysis of heterogeneity and epistasis in physiological mixed populations by combined structural equation modelling and latent class analysis

Table 2 Latent class model for women and men

Indicators:	Insulin levels at 0, 30 and 120 min after an oral glucose tolerance test (OGTT).
Covariates in all models:	Glucose and C-peptide levels at 0, 30 and 120 min after OGTT.
	Stage 1			Stage 2					Final model
Women
Number of classes	17	18	19	18	18	18	18	18	19
Additional covariates				BMI	WH	TG	HDLC	Chol.	BCage^c
df ^a	551	583	615	746	746	746	746	746	1,188
AIC	85,626	81,531	8,.472	8,.330	81,487	81,473	81,411	81,490	80,962
BIC	86,322	82,870	8,.886	82,769	82,925	82,911	82,849	82,928	82,694
Sample-Size Adjusted BIC	85,947	82,148	8,.124	81,994	82,150	82,136	82,074	82,152	81,759
Entropy	0.876	0.868	0.859	0.872	0.862	0.873	0.872	0.871	0.879
Chi-tests:^b
AIC		<E-5	<E-5	<E-5	<3*E-4	<E-5	<E-5	<6*E-4	<E-5
BIC		<E-5	-	<E-5	-	-	<0.24	-	<0.33
BICadj		<E-5	<0.027	<E-5	-	<0.75	<E-5	-	<E-5
Men
df	551	583	615	746	746	746	746	746	1,188
AIC	83,973	83,840	83,792	83,643	83,792	83,726	83,688	83,722	83,226
BIC	85,237	85,181	85,210	85,084	85,233	85,166	85,129	85,162	84,962
Sample-Size Adjusted BIC	84,556	84,459	84,447	84,309	84,457	84,391	84,354	84,387	84,028
Entropy	0.886	0.883	0.882	0.888	0.881	0.881	0.884	0.884	0.898
Chi-tests:
AIC		<E-5	<E-5	<E-5	<E-5	<E-5	<E-5	<E-5	<E-5
BIC		<E-5	-	<E-5	-	<0.65	<E-5	<0.37	<0.39
BICadj		<E-5	<0.51	<E-5	1.00	<E-5	<E-5	<E-5	<E-5

^adf, degrees of freedom.
^bChi-square tests. The models were compared with the immediately preceding model. The models in Stage 2 were compared to the best model in Stage 1 and so on.
^cBCage, BMI, cholesterol and age.
The latent class variable was regressed on all covariates (see Figure 1B). All models with higher numbers of classes have lesser goodness-of-fit statistics and are omitted form the table.

ISSN: 2730-6844