Skip to main content

Table 4 Overall fit and reliability using confirmatory factor analyses of the various short versions

From: Establishing the HLS-Q12 short version of the European Health Literacy Survey Questionnaire: latent trait analyses applying Rasch modelling and confirmatory factor analysis

  HLS-Q12a HL-SF12 [26] HLS-EU-Q16 [11]
GOF index (LISREL) One-dimensional Three-dimensional One-dimensional Three-dimensional One-dimensional Three-dimensional
SB scaled χ2 (df),
χ2 p-value
142.71 (54),
p < 0.001
112.96 (51)
p < 0.001
93.73 (54),
p < 0.001
83.71 (51)
p < 0.01
379.12 (104),
p < 0.001
283.57 (101)
p < 0.001
SRMR 0.059 0.056 0.047 0.045 0.080 0.070
RMSEA (90% CI) 0.086
(0.078–0.095)
0.078
(0.069–0.087)
0.066
(0.057–0.076)
0.064
(0.055–0.074)
0.118
(0.112–0.124)
0.103
(0.097–0.110)
CFI 0.951 0.966 0.975 0.979 0.923 0.949
NNFI (TLI) 0.940 0.955 0.969 0.973 0.911 0.939
Log-likelihoods
 -2ln(L)(ep) 6857 (24) 6787 (27) 6718 (24) 6696 (27) 8105 (32) 7851 (35)
 AIC (ep) 6905 (24) 6841 (27) 6766 (24) 6750 (27) 8169 (32) 7921 (35)
 BIC (ep) 7014 (24) 6964 (27) 6874 (24) 6872 (27) 8313 (32) 8078 (35)
Reliability
Coefficient H 0.826 0.663/0.608/0.713 0.822 0.591/0.599/0.622 0.882 0.823/0.720/0.667
  1. Note. The table shows goodness of fit (GOF) indexes, log-likelihood and reliability using confirmatory factor analysis (CFA) when treating the various short versions as one- and three-dimensional. CFA was performed using LISREL software
  2. SB scaled χ2 :Satorra-Bentler scaled chi-square. SRMR (standardised root mean square residual) and RMSEA (root-mean-squared error of approximation): values < 0.05 indicate good model fit, and values < 0.08 indicate an acceptable model fit. CFI (comparative fit index) and NNFI (non-normed fit index [or TLI = Tucker and Lewis fit index]): values > 0.95 indicate good model fit (Hu and Bentler, 1999)
  3. -2ln(L): likelihood function, AIC: Akaike’s information criterion, BIC: Bayesian information criterion, ep: number of estimated parameters. Lower values indicate a better overall fit
  4. aHLS-Q12 developed through the present study