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Table 4 Additivity and Tukey's correction factor γ

From: The ChQoL questionnaire: an Italian translation with preliminary psychometric results for female oncological patients

  

untransformed scores

transformed scores

Facet

n. of items

Friedman's χ 2

p

γ

using γ by Facet

using γ by Domain

using constant γ = 1.5

Complexion

4

4.07

0.04

1.782

0.80

0.47

0.45

Sleep

3

0.81

0.37

2.090

0.71

0.93

0.91

Stamina

6

9.82

0.00

1.598

0.23

0.16

0.14

Appetite

4

0.39

0.54

1.327

0.80

0.94

0.93

Climate

3

0.21

0.64

1.143

0.88

0.59

0.61

Consciousness

3

1.23

0.27

1.737

0.55

0.59

0.44

Thinking

5

2.07

0.15

1.386

0.99

0.24

0.72

Spirit

2

3.01

0.09

2.401

0.49

0.29

0.20

Verbal Expr.

2

7.44

0.01

2.740

0.26

0.07

0.04

Joy

4

48.81

0.00

2.465

0.00

0.00

0.00

Anger

5

14.93

0.00

1.946

0.10

0.00

0.01

Depression

6

12.63

0.00

0.586

0.29

0.00

0.00

Fear & Anx.

3

0.56

0.46

0.665

0.65

0.39

0.27

Domain

       

Physical form

20

13.81

0.00

1.522

0.35

0.35

0.30

Vitality & Sp.

12

9.60

0.00

1.811

0.83

0.83

0.26

Emotion

18

1.51

0.22

1.156

0.52

0.52

0.64

  1. The Tukey's test for non-additivity is applied by Facet and by Domain, on the original untransformed score. Non-additivity is found in 6 out of 13 Facets and 2 out of 3 Domains (p-level 0.05). The three last columns show the p-level from the same test, but applied on scores transformed with different corrective factors γ. Third last column: uses γ from the previous column, same row; penultimate column: γ from the previous column, but by Domain (last three rows); last column: flat constant γ = 1.5.
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