First, the characteristics of those in the four visual acuity change categories were compared. Next, the proportions of individuals who died in each of the visual acuity change groups were calculated and tested using the Pearson χ2 test. Then, Cox regression models were used to estimate the hazard of death for the various visual acuity change groups, adjusting for age, sex, race (white, African-American), education (≤12 years or >12 years), number of comorbidities (0–3 or ≥4 comorbidities), body mass index (≤25, 25–30, 30–35, or ≥35 kg/m2), smoking (never, past, current), history of diabetes, stroke, or hypertension (yes/no), and baseline visual acuity. Variables that were not statistically significant were removed one at a time, and their effect on visual acuity change was noted. If, after removal, there was little change in the hazard ratios for visual acuity change, then these variables were excluded from the final model.
Those 56 individuals who had died but for whom the date of death was unknown were at first excluded from the analyses. Then, sensitivity analyses were performed including them and assuming their date of death to be the midpoint of the time between their last round attended and the end of the study.
The proportionality assumption was checked by examining scaled Schoenfeld residual plots versus time for each variable, to determine whether the slope deviated systematically from zero, and also by examining log–log survival curves versus log(time) and adjusting for the mean values of the other variables to see whether the curves were roughly parallel. The correlation of the covariates was checked to assess colinearity. Ties in hazard times were handled by the Breslow method. Effect modifiers including visual impairment (worse than 20/40) at baseline, diabetes, and gender were evaluated by stratification and by including interaction terms with visual acuity change into the regression model.
To determine whether incident depressive symptoms were a mediator in the relationship between visual acuity loss and time to death, the methods of Baron and Kenney
22 were used. Briefly, the relationship between visual acuity loss and mortality should be reduced once depressive symptoms are in the model, if depressive symptoms act as a mediator.