Mean age of the 196 patients with optic neuropathy (52.4 years; SD, 17.6 years; range, 11–85 years) was similar to that of the 129 controls (54.5 years; SD, 15.7 years; range, 16–89 years;
P = 0.27). Sixty-two percent (
n = 122) of the optic neuropathy group and 53% (
n = 69) of the control group (
P = 0.13) were women. As expected, mean visual acuity in the optic neuropathy group was 20/80 (range, 20/20 to hand motions), significantly poorer than the mean of 20/25 among controls (range, 20/20 to 20/40;
P < 0.0001).
Figure 1shows the distribution of RAPD severity in the study population. Mean RAPD in the patient group was 0.87 log units (SD, 0.58; range, 0.3–2.4). In the patient group, mean brightness sense (53.7%; SD, 27.4%; range, 1%–100%), mean red perception (60.5%; SD, 32.1%; range, 0%–100%), and mean Ishihara plate score (4.4; SD, 4.1; range, 0–10) were significantly different from those in the control group, for whom the corresponding values were 99.4% (SD, 2.7%; range, 85%–100%) for mean brightness sense, 99.1% (SD, 6.3%; range, 50%–100%) for mean red perception, and 9.7 (SD, 0.9; range, 4–10) for mean Ishihara plate score (
P < 0.0001).
The difference in distribution of subjective optic nerve function parameters between patients and controls is illustrated as a scatterplot in
Figure 2 . No control subject had brightness sense lower than 85% (
n = 7 with altered brightness sense) or red perception lower than 50% (
n = 3 with altered red perception).
Brightness sense and red perception showed strong and highly significant correlations with RAPD (
r = −0.79 [95% CI, −0.84 to −0.73;
P < 0.0001] and
r = −0.73 [95% CI, −0.79 to −0.65;
P < 0.0001], respectively;
Fig. 3 ). The correlation coefficient for Ishihara color plates was slightly lower (
r = −0.68 [95% CI, −0.79 to −0.66;
P < 0.0001]). The difference between correlation coefficients, however, was not statistically significant (all
P ≥ 0.53). The pattern of data spread for the above suggested the possibility of the exponential decay model, providing a better fit for the data. However, an inspection of residuals coupled with the Akaike information criterion (AIC) goodness-of-fit statistic did not demonstrate a significant advantage of higher-order functions over a liner relationship. Linear
R 2 for brightness sense was 0.62, and decay
R 2 was 0.64; linear
R 2 for red perception was 0.53, and decay
R 2 was 0.54; linear
R 2 for Ishihara color plates was 0.46, and decay
R 2 was 0.51 (all
P < 0.0001).
Multivariate logistic regression analysis showed that brightness sense (P < 0.0001), visual acuity (P = 0.014), and age (P = 0.025) were the only significant independent predictors of RAPD. However, brightness sense, red perception, and Ishihara color plates were significantly intercorrelated (r = 0.8, P < 0.0001, for brightness sense and red perception; r = 0.66, P < 0.0001, for brightness sense and Ishihara color plates; and r = 0.67, P < 0.0001, for red perception and Ishihara color plates). Hence, red perception and Ishihara color plates were also independent predictors of RAPD. Brightness sense had a stronger correlation with RAPD, but the difference between these correlations was not statistically significant. Interchanging one for another in the model did not produce a significant difference. Overall adjusted R 2 for the multivariate regression model was 0.95.
ROC curves were used to assess accuracy of these tests as predictors of RAPD. Values for the area under the ROC (AUROC) curve were 0.99 (95% CI, 0.98–1.00;
P < 0.0001) for brightness sense, 0.93 (95% CI, 0.90–0.96;
P < 0.0001) for red perception, and 0.88 (95% CI, 0.84–0.91;
P < 0.0001) for Ishihara color plates
(Fig. 4) . Values for the AUROC curve for combinations of tests were 0.99 (
P < 0.0001) for brightness sense and red perception
(Fig. 5) , 0.99 (
P < 0.0001) for brightness sense and Ishihara color plates, 0.96 (
P < 0.0001) for red perception and Ishihara color plates, and 0.99 (
P < 0.0001) for all three. The value for the AUROC curve for VA was 0.87 (95% CI, 0.83–0.90;
P < 0.0001).
When brightness sense was reported to be 90% of normal or worse, sensitivity and specificity were 99% (95% CI, 97%–100%) and 95% (95% CI, 92%–99%), respectively. Red perception had marginally lower values, with a sensitivity of 86% (95% CI, 81%–91%) and a specificity of 98% (95% CI, 95%–100%).
Table 1shows the range of values for brightness sense, red perception, and Ishihara color plates.
When patients in the optic neuropathy group were subdivided according to the severity of RAPD, the mean brightness sense decreased as the severity of the RAPD worsened. In the group with subtle RAPD (0.3 log units), the mean brightness sense was 75.6% (SD, 12.9%); in those with mild RAPD (0.6–0.9 log units), it was 59.5% (SD, 20.4%); in those with moderate RAPD (1.2–1.5 log units), it was 30.9% (SD, 23.0%); and in those with severe defect (>1.5 log units), it was 16.3% (SD, 13.1%). Ishihara color plates did not add significant benefit to the combination of brightness sense and red perception for detecting RAPD. Only two patients had brightness sense of 90% or greater and Ishihara scores of 8 or less. Twenty-five patients had red perception of 90% or greater and Ishihara scores of 8 or less, but, again, only two of them had both brightness sense and red perception equal to or better than 90%.