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Table 2 Criteria for evaluating adequacy of meeting IRT assumptions and results

From: Development and calibration of a novel social relationship item bank to measure health-related quality of life (HRQoL) in Singapore

Unidimensionality

 Approach

Criterion

Reference

Results

Criterion met?

 EFA

Percentage of variance accounted for by first factor > 20%

PROMIS [16]

18.1%

No

Ratio of first to second eigenvalues > 4.0

PROMIS [16]

8.01

Yes

 CFA

CFI > 0.95

PROMIS [16]

0.923

No

TLI > 0.95

PROMIS [16]

0.917

No

RMSEA < 0.06

PROMIS [16]

0.098

No

SRMR < 0.08

PROMIS [16]

0.081

No

 Bifactor analyses

ARPB < 10%

Muthén, Kaplan, and Hollis (1987) [33]

3.6%§

Yes

General ECV > 0.70

Reise, Bonifay and Haviland (2013) [17]

0.805ǂ

Yes

OmegaH > 0.80

0.980¥

Yes

General ECV > 0.60 and OmegaH> 0.70

Reise, Schienes, Widaman and Haviland (2013) [15]

 

Yes

Local Independence

 Residual correlation matrix

Average absolute residual correlations < 0.10

PROMIS[16]

0.067

Yes

Percentage of residual correlations above 0.20

Artmann et al. 2010 [18]

1.84%

No threshold given

(8 of 435)

  1. Abbreviations: Item response theory (IRT), comparative fit index (CFI), Tucker-Lewis Index (TLI), root mean square error of approximation (RMSEA), standardized root mean residual (SRMR), explained common variance (ECV), item explained common variance (IECV), omega hierachical (omegaH), explanatory factor analysis (EFA), confirmatory factor analysis (CFA)
  2. §Maximum ARPB among three exploratory bifactor models with 2,3 and 4 specific factors. See Table 3
  3. ǂMinimum general factor ECV attained among three exploratory bifactor models with 2, 3 and 4 specific factors. See Table 3
  4. ¥ Minimum OmegaH attained among three exploratory bifactor models. See Table 3