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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