Figure 2shows average thresholds across all patients with CVI and normal subjects. Three of the children with CVI did not show measurable thresholds at the normal-luminance stimulus, but did demonstrate thresholds at the low-luminance stimulus. These three children are not included in
Figure 2or the statistical analysis. Even when these three subjects excluded, the patients with CVI showed better grating acuity at low luminance than at normal luminance (range: 5.7–14.2 cyc/deg, low luminance; 4.2–13.2 cyc/deg, normal luminance). Normal subjects showed no difference (range, 13.6–34.9 cyc/deg low luminance and 13.0 to 30.8 cyc/deg normal luminance). Overall, grating acuity of patients with CVI was substantially worse than that of normal subjects, as expected.
Data from
Figure 2were evaluated by repeated-measures ANOVA with subject category and luminance as factors. There was a main effect of subject category, due to higher thresholds for normal subjects, F
(1,26) = 96.249 (
P < 0.001). There was also an interaction between subject category and luminance, with patients with CVI and normal subjects showing opposite effects of luminance, F
(1,26) = 9.604 (
P = 0.005). In children with CVI, acuity thresholds were significantly improved in low-luminance conditions (paired
t-test,
P = 0.006).
Figure 3shows VEP amplitude as a function of spatial frequency for one CVI patient and one normal subject at O
Z. Response amplitudes are clearly higher under the low-luminance condition, and the VEP threshold in the low-luminance condition increased approximately 1 cyc/deg. In the normal subject, the amplitude and threshold responses did not show much difference between low- and normal-luminance conditions.
Figure 4shows VEP amplitude as a function of spatial frequency for all 20 patients with CVI and 17 normal subjects averaged from three electrode sites (O
1, O
Z, and O
2). Response amplitudes appeared higher under low-luminance conditions, at increasing spatial frequency ranges in CVI. This effect did not occur in normal children. Thresholds were reduced by approximately a factor of three in children with CVI, compared with normal subjects, and signal amplitudes also showed an overall reduction in children with CVI.
To further quantify these observations, we examined, for each subject, the upper boundary of the range of spatial frequencies included in the threshold regression analysis. As described in the Methods section, the upper boundary of the regression range depends on several response-related factors, including statistical significance of the response amplitude, and consistency of response phase at sequential spatial frequencies. In effect, the upper limit of the regression range indicates the highest spatial frequency at which we can detect a reliable response to the stimulus. The spatial frequencies corresponding to the upper limit of the regression range for each subject showed nearly identical behavior in response to the thresholds. As was the case for the thresholds, there was a main effect of subject category, due to greater responses at higher spatial frequencies for normal subjects (F(1,26) = 117.451; P < 0.001). As seen with the thresholds, there was an interaction between subject category and luminance, with patients with CVI and normal subjects showing opposite effects of luminance (F(1,26) = 5.579; P = 0.026). In children with CVI, the responses extended to higher spatial frequencies in the low-luminance condition, but unlike the threshold results, they fell slightly short of statistical significance (paired t-test, P = 0.090).
In addition to the upper regression limit, the slope of the regression line also helps determine the threshold acuity: The shallower the slope, the higher the threshold. As shown in
Figure 4 , the response functions for children with CVI appeared to be shallower at the more visible end in the low-luminance compared with the normal-luminance condition. To determine the extent of bias in thresholds generated by this tendency, we analyzed the slopes of the regression lines in our results. Although the slopes (not shown) predicted the thresholds according to the relationship just described, the effects observed in the threshold and regression limit data were greatly diminished for the slope data. The effect of subject category was still present, but much less significant, F
(1,26) = 5.277 (
P < 0.030), the interaction between subject category and luminance was not significant (F
(1,26) = 2.312,
P = 0.140), nor was the effect of luminance for the children with CVI (
P = 0.144). In conclusion, the effects on threshold were predominantly driven by the magnitude of the response at the upper end of the spatial frequency range and were only slightly influenced by spurious effects of slope at the lower end of the spatial-frequency range.
Amplitude as a function of spatial frequency is shown in larger detail for patients with CVI in
Figure 5 . The difference in response amplitudes between low- and normal-luminance conditions is particularly pronounced at the higher spatial frequencies. Under low-luminance conditions, the average amplitude response remains above 3 μV, but dips below this line, when grating acuity is measured under normal-luminance conditions.