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Table 1 Bayesian Modelling and Reliability of HLQ Single Scales

From: Measuring health literacy in community agencies: a Bayesian study of the factor structure and measurement invariance of the health literacy questionnaire (HLQ)

Scale Model PPP Value 95 % Cis for the difference between observed and replicated chi-square values Standardised factor loadings from ‘Wiggle Room’ analysis Range of residual correlations in ‘Wiggle Room’ analysis Composite reliability (α in parentheses)
1. Feeling understood and supported by healthcare providers No residual correlations 0.35 −12.45–18.83 P1Q2 = 0.80; P1Q8 = 0.90;
P1Q17 = 0.76;
P1Q22 = 0.90.
−0.12 to 0.01 0.86 (0.86)
Residual correlations estimated 0.51 −14.98–14.02
2. Having sufficient information to manage my health No residual correlations 0.33 −11.95–21.30 P1Q1 = 0.67;
P1Q10 = 0.82;
P1Q14 = 0.89;
P1Q23 = 0.91.
−0.09 to 0.15 0.85 (0.84)
Residual correlations estimated 0.52 −15.12–16.15
3. Actively managing my health No residual correlations 0.34 −16.17–24.69 P1Q3 = 0.69; P1Q5 = 0.79;
P1Q11 = 0.84;
P1Q18 = 0.81;
P1Q86 = 0.86.
−0.13 to 0.17 0.85 (0.85)
Residual correlations estimated 0.52 −17.79–14.79
4. Social support for health No residual correlations 0.00 13.41–64.96 P1Q3 = 0.68;
P1Q5 = 0.66;
P1Q11 = 0.94;
P1Q15 = 0.55;
P1Q19 = 0.81.
−0.17 to 0.32 (0.32 = P1Q15/P1Q19) 0.80 (0.80)
Residual correlations estimated 0.51 −17.18–16.38
5. Appraisal of health information No residual correlations 0.18 −11.55–30.15 P1Q4 = 0.72;
P1Q7 = 0.74;
P1Q12 = 0.82;
P1Q16 = 0.67;
P1Q20 = 0.62.
−0.13 to 0.17 0.81 (0.81)
Residual correlations estimated 0.49 −16.92–18.23
6. Ability to actively engage with healthcare providers No residual correlations 0.04 −2.12–42.10 P2Q2 = 0.81;
P2Q4 = 0.85;
P2Q7 = 0.83;
P2Q15 = 0.85;
P2Q20 = 0.87.
−0.23 to 0.19 0.89 (0.89)
Residual correlations estimated 0.52 −18.00–17.28
7. Navigating the healthcare system No residual correlations 0.02 1.79–49.19 P2Q1 = 0.76;
P2Q8 = 0.77;
P2Q11 = 0.82;
P2Q13 = 0.91;
P2Q16 = 0.73;
P2Q19 = 0.66
−0.09 to 0.24 0.87 (0.87)
Residual correlations estimated 0.51 −20.40─20.45
8. Ability to find good health information No residual correlations 0.01 −3.89–47.04 P2Q3 = 0.80;
P2Q6 = 0.79;
P2Q10 = 0.84;
P2Q14 = 0.66;
P2Q18 = 0.72
−0.19 to 0.14 0.84 (0.84)
Residual correlations estimated 0.50 −17.82–17.67
9. Understanding health information well enough to know what to do No residual correlations 0.00 18.17–68.47 P2Q5 = 0.82;
P2Q9 = 0.60;
P2Q12 = 0.89;
P2Q17 = 0.81;
P2Q21 = 0.74.
−0.16 to 0.35
(0.35 = P2Q9/P2Q21)
0.85 (0.83)
Residual correlations estimated 0.50 −17.98–18.52