Table 3 Phase II (Steps 4 to 8) Establish the dimension structure

ABC-UI [31, 32]

AQL-5D [33,34,35,36,37,38,39]

IUI [40, 41]

OAB-5D [9, 36, 42,43,44]

EORTC-8D [7, 45,46,47,48]

QLU-C10D [49,50,51,52,53,54,55,56,57,58]

HAQ-PBM, QLQ-PBM, MSIS-PBM [61]

FACT-8D [62, 63]

CP-6D [66]

DEMQOL-U & -Proxy-U [8, 71,72,73,74]

AD-5D [75,76,77]

CARIES-QC-U [112]

DUI [78, 79]

DHP-3D & 5D [80]

HASMID-8 & 10 [81, 82]

DMD-QoL-8D [134, 138, 139]

Step 4. Assess factorability of items

 Item-total correlations^{E, C, Pa}

X

X

X

 Bartlett test of sphericity^{E, Pb}

X

X

 Kaiser-Meyer Olkin measure proportion of variance^{E, Pc}

X

X

 Cronbach’s alpha^d

X

X

Step 5. Select dimension extraction method

 Principal components analysis (PCA)

X

X

X

X

 Exploratory factor analysis (EFA)

X

X

X

 Confirmatory factor analysis (CFA)

X

 EFA and CFA

X

X

X

X

Step 6. If there is no hypothesized dimensional structure, select the factors to retain

 Cattell scree test^{E, P}

X

X

 Amount of variance explained^{E, P}

– eigen values

X

X

X

X

X

X

 Parallel analysis^{E, P}

X

Step 7. Assess interpretability of dimension structure

 Oblimin rotation

X

 Promax rotation

X

 Varimax rotation

X

X

 Varimax and promax rotation

X

Step 8. Evaluate model fit

 RMSEA⁺

X

X

X

 SRMR⁺

 CFI⁺⁺

X

X

X

 TLI⁺⁺

X

X

 Factor loadings

X

X

X

X

X

X

X

 Residual correlations

X

 Cross loading

X

X

X

X

X

NEWQoL-6D [84,85,86]

CORE-6D [88,89,90]

ReQoL-UI [91,92,93,94]

MobQoL-7D [95, 140]

MSIS-8D & -P [27, 97,98,99,100]

Neuro-QoL derived NQU [101, 102]

P-PBMSI [103,104,105,106]

MF-8D [107]

WAITe [108, 109]

POS-E [116]

MHOM RA [117]

Vis-QoL [118,119,120,121,122,123,124]

VFQ-UI [125,126,127,128,129,130]

MacNew-7D [87]

ECOHIS-4D [114]

BUI [64]

CFQ-8D [69]

Step 4. Assess factorability of items

 Item-total correlations^{E, C, Pa}

X

X

X

 Bartlett test of sphericity^{E, Pb}

X

X

X

X

 Kaiser-Meyer Olkin measure proportion of variance^{E, Pc}

X

X

X

X

 Cronbach’s alpha^d

X

X

X

X

X

Step 5. Select dimension reduction method

 Principal components analysis (PCA)

X

X

X

X

 Exploratory factor analysis (EFA)

X

X

X

X

X

X

X

X

 Confirmatory factor analysis (CFA)

X

X

 EFA and CFA

X

 Cattell scree test^{E, P}

X

X

X

X

X

X

X

Step 6. If there is no hypothesized dimensional structure, select the factors to retain

 Amount of variance explained^{E, P}

– eigen values

X

X

X

X

X

X

 Parallel analysis^{E, P}

X

X

X

X

Step 7. Assess interpretability of dimension structure

 Oblimin rotation

 Promax rotation

X

X

X

 Varimax rotation

X

X

X

 Varimax and promax rotation

X

8. Evaluate model fit

 RMSEA⁺

X

X

X

 SRMR⁺

X

 CFI⁺⁺

X

X

X

 TLI⁺⁺

X

 Factor loadings

X

X

X

X

X

X

X

X

 Cross loading

 Residual correlations

X