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Table 2 Model comparison, fit indices and results of chi-square test for comparisons between the two models

From: Perceived social support and health-related quality of life (HRQoL) in Tehranian adults: Tehran lipid and glucose study

Model

DF

χ2/DF

RMSEA

SRMR

CFI

GFI

NFI

IFI

AIC

Model comparisons(χ2,DF)

Unconstraineda

158

3.82

0.052

0.079

0.91

0.93

0.88

0.91

831.5

Assuming to be correct

Measurement weightsb

166

3.71

0.051

0.080

0.91

0.93

0.88

0.91

828.5

12.96, DF = 8

Structural weightsc

183

3.53

0.050

0.083

0.91

0.92

0.87

0.91

823.5

41.94*, DF = 25

Structural covarianced

196

5.30

0.064

0.096

0.83

0.90

0.80

0.83

1190.5

434.9**, DF = 38

Structural residualse

200

5.28

0.064

0.098

0.83

0.89

0.80

0.83

1200.2

452.7**, DF = 42

Measurement residualsf

215

5.10

0.063

0.098

0.82

0.89

0.79

0.82

1209.9

492.5**, DF = 57

  1. Unconstrained model assuming to be correct, other proposed models b-f were compared to unconstrained model using chi-square difference test
  2. DF degree of freedom, RMSEA root of mean square error approximation, SRMR standardized root mean square residual, CFI comparative fit index, GFI goodness of fit index, NFI normed fit index, IFI incremental fit index, AIC Akaike information criterion
  3. *p < 0.05, **p < 0.001. aAll of the parameters were considered different in men and women, bEqual factor loadings for measurement model of social support and quality of life constructs in men and women, cEqual factor loadings and regression weights between latent variables in men and women, dEqual covariance for latent constructs in men and women, eEqual residual variances for latent constructs in men and women fAll parameters were considered equal in men and women