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Table 2 Model fit statistics and class proportions for latent variable mixture models on the SF-36 physical functioning and mental health sub-scale items

From: Latent variable mixture models to test for differential item functioning: a population-based analysis

# Classes #
Par
BIC VLMR
p-value
BLRT
p-value
Entropy Class proportionsa
Class 1 Class 2 Class 3 Class 4
Physical Functioning
 1 28 102,298.56     1.00    
 2 57 100,569.46 <0.0001 <0.0001 0.55 0.61 (0.68) 0.39 (0.32)   
3 86 100,083.64 0.0007 <0.0001 0.64 0.59 (0.64) 0.24 (0.22) 0.17 (0.14)  
 4 115 99,806.68 NA NA 0.60 0.51
(0.55)
0.22 (0.19) 0.17 (0.16) 0.10 (0.10)
Mental Health
 1 20 95,536.81     1.00    
2 41 94,631.65 <0.0001 <0.0001 0.40 0.69 (0.78) 0.31 (0.22)   
 3 62 94,363.51 NA NA 0.44 0.25 (0.20) 0.37 (0.40) 0.38 (0.40)  
  1. Bold values indicate the model that was selected for further analysis. # Par = number of parameters. BIC Bayesian information criterion. VLMR Vuong-Lo-Mendell-Rubin likelihood ratio test. BLRT Bootstrap likelihood ratio test. NA Not Applicable
  2. aClassification of individuals based on their most likely latent class is shown in parentheses