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Table 5 G-coefficients and Ф-coefficients for different numbers of items for p × I design in D-study for four domains of quality of life instrument QLICP-CHD

From: Development and validation of the coronary heart disease scale under the system of quality of life instruments for chronic diseases QLICD-CHD: combinations of classical test theory and Generalizability theory

Domain Number of items σ2(P) σ2(I) σ2(PI) σ2(δ) σ2(∆) σ2PI) σ2(Eρ2) Φ
Physical domain 6 0.51 0.01 0.20 0.20 0.21 0.02 0.72 0.70
8 0.51 0.01 0.15 0.15 0.16 0.02 0.77 0.76
10 0.51 0.01 0.12 0.12 0.13 0.01 0.81 0.80
12 0.51 0.01 0.10 0.10 0.11 0.01 0.84 0.83
14 0.51 0.01 0.09 0.09 0.09 0.01 0.86 0.85
Psychological domain 9 0.59 0.02 0.07 0.07 0.09 0.02 0.89 0.87
10 0.59 0.02 0.07 0.07 0.08 0.02 0.90 0.88
11 0.59 0.01 0.06 0.06 0.07 0.02 0.91 0.89
12 0.59 0.01 0.06 0.06 0.07 0.02 0.92 0.90
13 0.59 0.01 0.05 0.05 0.06 0.02 0.92 0.91
Social domain 9 0.21 0.03 0.14 0.14 0.17 0.03 0.59 0.55
11 0.21 0.02 0.12 0.12 0.14 0.03 0.64 0.60
13 0.21 0.02 0.10 0.10 0.12 0.02 0.67 0.63
15 0.21 0.02 0.09 0.09 0.10 0.02 0.71 0.67
17 0.21 0.02 0.08 0.08 0.09 0.02 0.73 0.70
Specific domain 14 0.26 0.01 0.08 0.08 0.09 0.01 0.77 0.75
16 0.26 0.01 0.07 0.07 0.08 0.01 0.80 0.77
18 0.26 0.01 0.06 0.06 0.07 0.01 0.81 0.79
20 0.26 0.01 0.05 0.05 0.06 0.01 0.83 0.81
22 0.26 0.01 0.05 0.05 0.06 0.01 0.84 0.82
  1. σ2(δ) is the variance components of relative error.
  2. σ2(∆) is the variance components of absolute error.
  3. σ2PI) is the variance components of error when estimating the universe score by using sample mean.
  4. σ2(Eρ2) is the Generalizability coefficient.
  5. Φ is the index of dependability.