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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+)