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Table 5 Rasch-based statistics for the different strategies applied to enhance the metric properties of the instruments (n = 243)

From: Cross-cultural validity of four quality of life scales in persons with spinal cord injury

Items

Strategy 1:

Collapsing response

scale

Strategy 2:

Deleting misfitting

items

Strategy 3:

Merging DIF

items

Strategy 4:

Merging DIF items

(Option 1 or 2)

 

δ

SE

Ï„

z

p

r

δ

SE

Ï„

z

p

r

δ

SE

Ï„

z

p

r

δ

SE

Ï„

z

p

r

SWLS

recoding: 0 1 1 2 2 3 4

              

no DIF in selected option

  

Overall

    

0.990

0.87

    

0.250

0.90

    

0.000b

0.89

      

Ideal life

0.48

0.11

ord

-0.83

0.811

 

0.39

0.07

disord

-0.88

0.119

 

0.32

0.06

ord

-1.11

0.014

       

Life conditions

0.077

0.11

ord

0.08

0.910

 

0.06

0.07

ord

-0.43

0.220

 

0.11

0.06

ord

-0.56

0.006b

       

Life satisfaction

-0.56

0.11

ord

0.75

0.870

 

-0.45

0.07

ord

0.43

0.758

 

-0.24

0.06

ord

0.07

0.165

       

Got things I want

del

     

del

     

merg

           

Change nothing in life

del

     

del

     

merg

           

Merged item 4. and 5.

            

-0.19

0.04

ord

2.67a

0.038

       

LiSAT

recoding: 0 1 1 1 2 3

              

recoding: 0 1 1 1 2 3

   

Overall

    

0.074

0.81

    

0.106

0.80

    

0.000b

0.86

    

0.125

0.81

Life as a whole

-0.44

0.12

ord

-1.72

0.022

 

del

     

-0.08

0.07

ord

-1.96

0.000b

 

-0.35

0.122

ord

-1.38

0.037

 

Self care

-0.08

0.10

ord

0.32

0.739

 

-0.08

0.06

ord

1.69

0.558

 

0.12

0.05

ord

0.68

0.626

 

0.00

0.098

ord

0.65

0.671

 

Vocational situation

0.27

0.10

ord

-1.82

0.382

 

0.10

0.06

disord

0.25

0.125

 

0.30

0.06

disord

-0.55

0.321

 

0.34

0.105

ord

-1.35

0.454

 

Financial situation

0.12

0.11

ord

0.53

0.305

 

del

     

merg

     

merg

     

Leisure situation

0.41

0.11

ord

-1.55

0.279

 

0.18

0.06

ord

-1.22

0.014

 

merg

     

merg

     

Sexual life

1.39

0.11

ord

1.93

0.055

 

0.86

0.06

disord

0.50

0.777

 

0.995

0.06

disord

-0.11

0.476

 

1.45

0.112

ord

2.23

0.049

 

Partner relations

del

     

del

     

-0.27

0.07

disord

2.77a

0.008

 

del

     

Family life

del

     

del

     

-0.53

0.06

disord

2.74a

0.021

 

del

     

Contact with friends

-1.67

0.11

ord

1.97

0.517

 

-1.06

0.07

disord

0.58

0.481

 

-0.77

0.07

disord

0.15

0.562

 

-1.63

0.110

ord

2.37

0.427

 

Merged item 4. and 5.

            

0.24

0.04

ord

-1.66

0.279

 

0.18

0.078

disord

-2.25

0.616

 

PWI

no recoding (one item disordered)

                  

Overall

          

0.346

0.92

    

0.710

0.92

      

Whole life

      

0.17

0.04

ord

0.26

0.250

 

0.11

0.04

ord

-0.70

0.121

       

Living standard

      

0.06

0.04

ord

0.97

0.050

 

0.00

0.04

ord

1.66

0.427

       

Health

      

del

     

merg

           

Life achievement

      

0.09

0.04

ord

1.28

0.857

 

0.03

0.04

ord

1.62

0.646

       

Relationships

      

-0.35

0.04

ord

1.68

0.207

 

merg

           

Feeling safe

      

-0.08

0.04

ord

-1.04

0.481

 

merg

           

Feel part of community

     

-0.06

0.04

disord

0.06

0.598

 

-0.09

0.041

disord

0.495

0.730

       

Future security

      

0.18

0.04

ord

-0.46

0.681

 

merg

           

Merged item 3. and 8.

            

0.19

0.03

ord

0.54

0.949

       

Merged item 5. and 6.

            

-0.23

0.03

ord

-1.00

0.501

       

WHOQOL

no recoding (no disorder)

                   

Overall

          

0.340

0.81

    

0.567

0.76

      

Health

      

0.12

0.10

ord

0.15

0.371

 

merg

           

Activities of daily living

      

0.68

0.09

ord

-0.30

0.240

 

0.58

0.08

ord

-0.29

0.604

       

Relationships

      

del

     

-0.41

0.08

ord

1.59

0.582

       

Living place

      

del

     

-0.34

0.08

ord

1.92

0.475

       

Quality of life

      

-0.80

0.10

ord

0.07

0.376

 

merg

           

Merged item 1. and 5.

            

0.16

0.06

ord

-2.20

0.208

       
  1. Index:
  2. a: Exceeds the critical value of z > +/-2.5
  3. b: Below the Bonferroni corrected probability level of p < 0.05/number of items (SWLS and PWI: p < 0.01; LISAT and PWI: p < 0.006)
  4. Abbreviations:
  5. SWLS: Satisfaction with life scale; LISAT: Life satisfaction questionnaire; PWI: Personal well-being index; WHOQoL: World Health Organization quality of life assessment; DIF: Differential item functioning; δ: Item location in logits (delta); SE: Standard error of item location; τ: Ordering of the response scale thresholds (tau); z: Standard normal distributed test value z; p: Probability of the Chi2 test; r: Person reliability index; del: Item deleted due to misfit; merg: Item merged due to DIF; ord: Response scale thresholds ordered; disord: Response scale thresholds disordered