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. 2018 Oct 3;16:196. doi: 10.1186/s12955-018-1025-5

Table 4.

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

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