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Table 5 Fit statistics for different factor structures of 12-item short versions applying CFA

From: Developing the HLS19-YP12 for measuring health literacy in young people: a latent trait analysis using Rasch modelling and confirmatory factor analysis

Model

Short version

\({{\varvec{\chi}}}_{{\varvec{M}}}^{2}\boldsymbol{ }({\varvec{d}}{\varvec{f}}),\boldsymbol{ }{\varvec{p}}\)

SRMR

\({\varvec{N}}{\varvec{o}}.{{\varvec{r}}}_{{\varvec{r}}{\varvec{e}}{\varvec{s}}}\)

\((>.10)\)

RMSEA (CI)

CFI/TLI

one-factor

HLS19-YP12

135.48 (54), .000

.030

none

.039 (.024-.053)

.985/.981

HLS19-Q12

174.13 (54), .000

.039

6 (-.18 – .14)

.057 (.044-.070)

.963/.955

HLS19-SF12

211.74 (54), .000

.052

9 (-.17 – .17)

.078 (.066-.090)

.926/.909

HLS19-Q12-NO

174.42 (54), .000

.042

5 (-.20 – .14)

.061 (.048-.074)

.958/.948

three-factor: HC,DP,HP

HLS19-YP12

115.20 (51), .000

.028

1 (-.13)

.034 (.015-.049)

.989/.986

HLS19-Q12

163.64 (51), .000

.037

3 (-.15 – .12)

.054 (.040-.067)

.969/.959

HLS19-SF12

188.16 (51), .000

.047

10 (-.14 – .13)

.072 (.060-.085)

.940/.922

HLS19-Q12-NO

164.96 (51), .000

.039

5 (-.18 – .12)

.057 (.044-.070)

.965/.955

  1. \({\chi }_{M}^{2}\): model chi-square, called either minimum fit function chi-square or likelihood ratio chi-square, was estimated using WLS estimator. If the fit of an over-identified model SRMR (Standardized Root Mean Square Residual or standardized difference between observed and model-implied data): values ≤ .050 is good and ≤ .080 is sufficient. SRMR is used as index for approximate fit if model Chi-square is significant; \(No.{r}_{res}\): number of residuals with a value > .10; (> .10) = highest value > .10; RMSEA (Root Mean Square Error of Approximation): values ≤ .06 indicate good model fit; CFI (Comparative Fit Index) and TLI (Tucker-Lewis index): values ≥ .95 are generally used as an indicator of acceptable model fit
  2. HC Health Care, DP Disease Prevention, HP Health Promotion