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Table 5 Multi-group confirmatory factor analysis for measurement invariance across years, sex, and age subgroups

From: Summarizing health-related quality of life (HRQOL): development and testing of a one-factor model

Models χ2 (df) RMSEA CFI TLI SRMR CD ΔCFI
BRFSS 2001-2010 (year subgroups)
Full configural invariance 5430 (10) 0.041 0.987 0.925 0.011 0.88
Full metric invariance 5648 (37) 0.022 0.987 0.979 0.012 0.88 0
Full scalar invariance 10107 (64) 0.022 0.977 0.978 0.014 0.879 0.01
BRFSS 2011-2013 (year subgroups)
Full configural invariance 2685 (3) 0.044 0.987 0.923 0.012 0.884
Full metric invariance 2696 (9) 0.025 0.987 0.974 0.012 0.884 0
Full scalar invariance 2794 (15) 0.02 0.987 0.984 0.012 0.884 0
BRFSS 2001-2010 (male vs. female)
Full configural invariance 10443 (2) 0.057 0.997 0.981 0.01 0.879
Full metric invariance 12243 (5) 0.039 0.996 0.991 0.012 0.879 0.001
Full scalar invariance 23654 (8) 0.043 0.993 0.989 0.019 0.881 0.003
BRFSS 2011-2013 (male vs. female)
Full configural invariance 5159 (2) 0.06 0.997 0.98 0.011 0.884
Full metric invariance 5788 (5) 0.041 0.996 0.991 0.012 0.884 0.001
Full scalar invariance 9425 (8) 0.041 0.994 0.991 0.017 0.885 0.002
BRFSS 2001-2010 (young vs. old ages)
Full configural invariance 3587 (2) 0.034 0.999 0.994 0.007 0.877
Partial metric invariance 13086 (3) 0.053 0.996 0.984 0.014 0.87 0.003
Full metric invariance 62559 (5) 0.089 0.981 0.955 0.038 0.866 0.018
BRFSS 2011-2013 (young vs. old ages)
Full configural invariance 2256 (2) 0.04 0.999 0.991 0.008 0.883
Partial metric invariance 7096 (3) 0.058 0.996 0.982 0.013 0.879 0.003
Full metric invariance 29614 (5) 0.092 0.981 0.955 0.035 0.874 0.018
  1. Full configural invariance – same factor structure across groups; full metric invariance-equivalent factor loadings across groups; full scalar invariance – equivalent intercepts across groups; partial metric invariance – equivalent factor loadings across groups except factor loadings for mentally unhealthy day item. Age subgroups: young (18-64) and old (65+)