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Table 4 Evaluation of psychometric properties of the HHI total scale, reduced scale and deleted items (N = 167)

From: Rasch analysis of the Herth Hope Index in cancer patients

Step

Original HHI Scale

Reduced HHI Scale

Deleted items

(12 items)

(7 items)

(5 items)

(N = 167)

(N = 167)

(N = 167)

Differential item functioning (DIF): Are item difficulty calibrations stable in relation to key demographic variables?

Gender. Item #6

Cohabitation: Item #3

Age: Items #5 and #6

None

Gender. Item #6

Cohabitation: Item #3

Age: Items #5 and #6

Rating scale functioning: Does the rating scale function consistently across items?

Acceptable

Acceptable

Acceptable

Internal scale validity:

Item misfit: How well do the actual item responses match the expected responses from the Rasch model?

Items #3 to #7

None

None

Unidimensionality (i.e., does the scale measure a single construct?): Variance explained by 1st dimension %:

48.3%

52.6%

52.7%

Person-response validity: How well do the individual responses match expected responses from the Rasch model? n (%)

21 (12.4%)

9 (5.3%)

8 (4.7%)

Person misfit, n (%)

4 (2.4%)

15 (8.9%)

8 (4.7%)

 Maximum score, n (%)

None

None

None

 Minimum score, n (%)

Person-separation reliability: Can the scale distinguish ≥3 distinct groups of depression in the sample tested?

Person-separation index (without extremes)

1.84

1.72

0.82

Person reliability: Cronbach’s alpha equivalent

0.77

0.75

0.40