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Table 3 Summary fit statistics from Rasch analysis

From: Validation of the Questionnaire to Identify Knee Symptoms (QuIKS) using Rasch analysis

Version

Data changes

Sample size

Item-trait interaction χ2

Item fit residual

Person fit residual

PSI

Significant t-tests

Value (df)

P value

Mean

SD

Mean

SD

Initial

None

145

73.512 (13)*

0.000

0.49

1.84

−0.22

1.18

0.89

7.0

Run 2

Deleted 8 misfit persons

137

72.550 (13)

0.000

0.43

1.93

−0.14

1.01

0.90

5.2

Run 3

Rescored all misfit items

137

19.693 (13)

0.103

−1.01

1.21

−0.66

1.29

0.89

1.6

Run 4a

Deleted 20 misfit persons

117

16.105 (13)

0.243

−0.58

1.12

−0.41

1.08

0.90

4.8

Run 5

Formed 4 testlets

117

0.937 (4)

0.92

0.26

0.72

−0.35

0.87

0.84

1.3

Run 6a

Used initial data, rescored all items

145

19.480 (13)

0.108

−1.07

1.33

−0.70

1.33

0.89

4.3

Run 7

Formed the 4 testlets again

145

3.546 (4)

0.47

0.02

0.85

−0.45

0.89

0.83

2.9

Run 8

Deleted 1 misfit persons

144

3.612 (4)

0.46

0.03

0.85

−0.43

0.86

0.82

2.9

Rasch-Refined

Deleted 3 persons with incomplete data

141

3.613 (4)

0.46

0.00

0.87

−0.44

0.86

0.82

3.0

  1. Criteria of fit to Rasch Model: minimum sample size of n = 108, PSI (Person Separation Index) ≥ 0.80 for reliability assessment by measurement scale, χ2 P-value > 0.05 [Bonferroni-adjusted], Items- and Persons- Fit Residual Mean ~ 0 and SD (Standard Deviation) ~ 1, less than 5 % significant t-test
  2. *Significant after P < 0.05 with Bonferroni correction for the number of items in the analysis
  3. aHad local item dependency