Figure 1c shows the distributions of BSR in each group. All five groups exhibited a statistically significant amount of BSR (normal vision: 1.31 [1.27,1.36],
P < 0.001; cataract: 1.27 [1.25, 1.30],
P < 0.001; AMD: 1.29 [1.24, 1.34],
P < 0.001; glaucoma: 1.25 [1.20, 1.30],
P < 0.001; RP: 1.28 [1.18, 1.37],
P < 0.001). To assess whether asymmetric loss of contrast sensitivity has an impact on binocular summation, we compared the BSR in subjects who had equal monocular contrast sensitivity (IOR = 1) to those who had unequal monocular contrast sensitivities in the two eyes (IOR < 1). For the subset with IOR = 1, the average BSR ranged from 1.40 [1.35, 1.46] in the cataract group to 1.53 [1.45, 1.60] in the normal vision group (
Fig. 2b, upper panel), which was close to the ratio (1.41) reported in the literature predicted by a quadratic summation rule.
7 For the subset with IOR < 1, the average BSR values were much smaller, ranging from 1.19 [1.15, 1.24] in the glaucoma group to 1.25 [1.20, 1.29] in the AMD group (
Fig. 2b, lower panel), indicating less summation among those with unequal monocular contrast sensitivities between eyes than for those with equal monocular contrast sensitivities. The covarying nature of IOR and BSR was confirmed by significant correlations in all five groups (
P < 0.001 in all groups, regression lines shown in
Fig. 3). More importantly, we used a linear model to examine the group differences in BSR with IOR as a covariate but found no statistically significant group difference.