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Table 2 Latent class model for women and men

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

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. BCagec
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
  1. adf, degrees of freedom.
  2. 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.
  3. cBCage, BMI, cholesterol and age.
  4. 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.
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