Rasch analysis was used to estimate subscale and overall values on an interval scale for each patient (RUMM2020 software; RUMM Laboratory Pty., Duncraig, WA, Australia).
42 Initially, the 28-item IVI raw scores were calculated by firstly reversing scores [0,1,2,3,4,5] to [5,4,3,2,1,0] to give higher IVI scores to the less impaired. Second, because of the disordered threshold, the initial six categories were collapsed to four [3,3,2,1,0,0] or three [2,2,1,1,0,0] as described previously.
37 Next, the IVI rating scale and item invariance were determined. If the item and scale calibrations demonstrate stability over time (i.e., they are invariant), then differences between the person measures at pre- and postrehabilitation are valid indicators of changes in the person over time.
43 Consequently, the pre- and postintervention data sets were stacked and the absence of differential item functioning (DIF) in RUMM was used to establish invariance over time. DIF occurs when groups of scores within the sample (e.g., times 1 and 2, baseline and follow-up), despite equal levels of the underlying characteristic being measured (participation in daily living), respond in a different manner to an individual item. The statistical test used for detecting DIF is an ANOVA of the person item deviation residuals with person factors (e.g., time) and class intervals (e.g., group along the trait) as factors. We found no evidence of DIF for time (pre- and postrehabilitation scores), vision impairment, comorbidity, effect of comorbidity on daily living. The interval-scaled scores on the IVI derived from Rasch analysis were exported to a commercial program (SPSS software; SPSS; Chicago, IL) for further analyses. To aid interpretability, scores were converted from the Rasch logit range to a scale from 0 to 100.