The average age of patients at presentation was 25 years (range, 4–60 years). There were 92 females (61%) and 58 males (39%). Among these, there were 108 Caucasians (72%), 30 African Americans (20%), 8 Hispanics (5%), and 4 Asians (3%). Sixty-one patients were initially seen in their first or second decade (41%), 69 patients were initially seen in their third or fourth decade (46%), and 20 patients were initially seen in their fifth or sixth decade (13%). The number of visits for all patients ranged between 4 and 21 (average, 7.1 visits), and the number of years of follow-up ranged from 3 to 42 years (average, 14.8 years). The range of the VA for the 150 patients using the MAR was 0.75 to 20 minutes of arc (average, 8.3 ± 6.6), which corresponds to 20/15 to 20/400 on a Snellen acuity chart.
We found that 53 of our 150 patients (35%) had less than one line maximum interocular difference on a distance Snellen acuity chart. In 72 of our 150 patients (48%), the maximum interocular difference between their MAR differed by a factor of less than 2 (logMAR < 0.3). In the remaining 78 patients, it differed by a factor of 2 or more. A factor of 2 would be apparent as a difference of between 20/20 and 20/40, 20/40 and 20/80, or 20/200 and 20/400 on a Snellen acuity chart.
Table 1provides summary information of the ages at the maximum interocular difference, the number of years of follow-up, and the number of visits for patients with a maximum interocular difference of less than a factor of 2 and those with a factor of 2 or more. Student’s two-sample
t-test was used to compare the means of these variables. No statistical difference was detected in the two groups between the mean initial age (
P = 0.41), the mean age at maximum interocular difference (
P = 0.94), or the mean number of years of follow-up (
P = 0.49). The mean number of visits was statistically significantly different between the two groups (
P = 0.003). However, the actual mean difference was only 1.6 years.
We analyzed our VA data for the maximum interocular difference by a Bland-Altman–type plot, as shown in
Figure 1 . The absolute value of the interocular logMAR acuity difference is plotted as a function of mean interocular logMAR acuity. For reference, equivalent Snellen acuity values are given on the upper
x-axis. Each open circle represents a patient, and the symbols were jittered slightly along the
x-axis to avoid overlap
(Fig. 1) . Data points for patients with the same acuity in each eye, or zero interocular acuity difference, fall on the
x-axis. The negatively sloped parallel lines passing through the data points show how interocular acuity differences could vary across different levels of acuity. The lines intersect the
x-axis in increments of Snellen acuity (e.g., 20/400, 20/200, 20/100). The extent of the line indicates the maximum possible interocular acuity difference for a fixed acuity value in one eye. For example, the right-most line represents all possible combinations of acuities for both eyes of patients in whom one or both eyes had acuities of 20/400. The intersection of this line and the
x-axis represents patients with acuities of 20/400 in each eye who, thus, have no difference in interocular acuity. Moving upward along this line, increasingly smaller values of logMAR acuity are found in the better eye. The intersection of this line and the positively sloped line indicates the maximum possible interocular difference for a patient with 20/400 acuity in the worse eye and 20/15 acuity in the better eye. The positively sloped line represents acuity values of approximately −0.125 logMAR (20/15) in the better eyes, a value that was not obtained from any patient in the sample. Thus, the triangular space defines all possible interocular acuity differences for all possible mean interocular acuity values, as measured with the Snellen chart.
This figure shows that the interocular acuity difference was dependent on the mean acuity of the two eyes. Specifically, for patients with a mean acuity better than approximately 0.3 logMAR (20/40 Snellen) or a mean acuity worse than approximately 1.0 logMAR (20/200 Snellen), the interocular acuity difference was always equal to a factor of 2 or less, as indicated by the horizontal dashed line. The data for these patients fall in the shaded boxes in
Figure 1 . However, for patients with a mean interocular acuity between approximately 0.3 and 1.0 logMAR, a wide range of interocular acuity differences was observed. Across this range of mean acuity values, some patients had the same acuity in each eye, whereas the eyes of other patients differed by more than 1 log unit.
Each of 145 of the 150 patients had at least one visit during which VA was the same in both eyes; for the other five patients, the minimum interocular difference was less than one line.
In the second part of this project, we analyzed the data for 131 eyes from 76 patients. We could demonstrate when each patient reached a VA that could be considered a starting point to determine the effect of baseline VA or age on the hazard for at least doubling the MAR. In 40 of the 76 patients, this event occurred in at least one eye. In 13 of those 40 patients, the MAR angle in at least one eye doubled more than once from baseline. (Second and third doublings were not used in the present analysis.)
Analysis of all 131 eyes eligible for at least doubling of the MAR was performed with the use of survival analysis (available with PROC PHREG, SAS version 9.1.3; SAS Institute, Cary, NC), which accounts for the inherent clustering of eyes within a subject; 68 eyes at least doubled. Univariate models used either the (natural) log of the starting MAR or the age at the start of the observation in the eligible time period. A hazard ratio of 1 indicated no change between younger or older patients or between those with higher or lower levels of starting MAR values. The hazard ratio for at least doubling the MAR was 0.831 (P = 0.0002) for any doubling of the starting MAR and 0.864 (P = 0.025) for any 5-year increase in starting age. That is, the hazard for at least doubling the MAR decreases with increasing age. For example, with a 5-year increase in age, the hazard of at least doubling the MAR is reduced by a factor of 0.864. Additionally, the hazard for at least a doubling the MAR becomes smaller as vision worsens. If the starting (baseline) MAR doubles (i.e., worsening of VA), the hazard of eventually doubling the MAR is reduced by a factor of 0.831. When both variables were included in a multivariate model, the corresponding hazard ratios were 0.730 (P < 0.0001) for any doubling of the starting MAR and 0.739 (P = 0.0001) for a 5-year difference in starting age.