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Table 2 The results of the hybrid OLR/IRT DIF analysis across mother and daughter on the PedsQL™ 4.0 (Empirical threshold values from Monte Carlo simulations is also reported)

From: Assessing the effect of child’s gender on their father–mother perception of the PedsQL™ 4.0 questionnaire: an iterative hybrid ordinal logistic regression/item response theory approach with Monte Carlo simulation

  Non-uniform Uniform
Pa Thresholdb ΔR2c Thresholdd Pa Thresholdb ΔR2c Thresholdd CvBLe Thresholdf
Physical health
5. Hard to take a bath 0.3156 0.0107 0.0018 0.0117 0.0002 0.0141 0.0243 0.0114 0.0135 0.0391
Emotional functioning
3. Feel angry 0.8460 0.0105 0.0000 0.0039 0.0000 0.0094 0.0115 0.0040 0.0270 0.0092
5. Worry about what will happen 0.8531 0.0078 0.0000 0.0040 0.0000 0.0168 0.0097 0.0032 0.0167 0.0097
Social functioning
1. Trouble getting along with peers 0.0576 0.0258 0.0027 0.0039 0.0000 0.0077 0.0125 0.0055 0.0332 0.0171
4. Doing things 0.0029 0.0327 0.0080 0.0046 0.0000 0.0110 0.0155 0.0063 0.0187 0.0188
5. Hard to play with others 0.2825 0.0255 0.0009 0.0038 0.0000 0.0068 0.0472 0.0057 0.1236 0.0178
School functioning
1. Hard to concentrate 0.0000 0.0209 0.0742 0.0036 0.0186 0.0115 0.0037 0.0044 0.0042 0.0125
2. Forget things 0.0003 0.0188 0.0084 0.0037 0.1182 0.0069 0.0016 0.0048 0.0003 0.0116
3. Trouble schoolwork 0.4073 0.0188 0.0006 0.0060 0.0000 0.0069 0.0467 0.0069 0.0937 0.0209
4. Miss school-not well 0.0080 0.0092 0.0069 0.0067 0.8240 0.0046 0.0000 0.0082 0.0010 0.0211
5. Miss school-doctor appointment 0.0022 0.0162 0.0085 0.0055 0.0306 0.0140 0.0043 0.0056 0.0103 0.0205
  1. Italic numbers represent the items showing uniform or non-uniform DIF
  2. aP value of Chi-square test of difference between the Models 1 and 2, and Models 2 and 3 for testing uniform and non-uniform DIF, respectively
  3. bThreshold values for the nominal α level associated with Chi-square test of difference between the Models 1 and 2, and Models 2 and 3
  4. cΔR2 is the R2 difference between the Models 1 and 2, and Models 2 and 3 for testing uniform and non-uniform DIF, respectively
  5. dThreshold values for ΔR2, difference between the Models 1 and 2, and Models 2 and 3 for testing uniform and non-uniform DIF, respectively
  6. eCrane, van Belle and Larson criterion—CvBL: |β1 (Model 1) − β1 (Model 2)/β1 (Model 1)|
  7. fThreshold values of Crane, van Belle and Larson criterion—CvBL: |β1 (Model 1) − β1 (Model 2)/β1 (Model 1)|