We first analyzed the processed rivalry time series data to obtain median phase durations and overall fractions for each of our five percept states. We were interested to see how patching affected the fractions (
Figure 3A) and median phase durations (
Figure 3B) for the original five percept categories.
In contrast with previous findings (Lunghi et al.,
2011), our results indicate that neither the fraction nor median duration of the deprived eye's exclusive percept increase significantly after deprivation (fraction:
M = 0.03, 95% CI: [−0.10, 0.16], FDR-corrected
p > 0.05; median duration:
M = 0.06, 95% CI: [−0.05, 0.18], FDR-corrected
p > 0.05). However, we do find that the fraction and median duration of the exclusive percept of the nondeprived eye decrease significantly: fraction,
M = −0.31, 95% CI: [−0.41, −0.20],
t(12) = −5.41, FDR-corrected
p < 0.001; median duration,
M = −0.15, 95% CI: [−0.24, −0.04],
t(12) = −2.91, FDR-corrected
p < 0.05. This implies that the shift in perceptual eye dominance observed after patching may be driven by a decrease in the input strength of the nondeprived eye's image rather than a reciprocal increase in the deprived eye's contribution.
Further, the median duration of the mixed percepts biased in favor of the nondeprived eye's image increased significantly after patching, mean difference = 0.30, 95% CI: [0.17, 0.46], t(12) = −4.09, FDR-corrected p < 0.01, as did that of the deprived eye's image, mean difference = 0.28, 95% CI: [0.09, 0.51], FDR-corrected p > 0.05. Increases in the overall fractions of all three mixed percepts were also observed: fraction mixed (nondeprived eye), M = 0.46, 95% CI: [0.15, 0.89], t(12) = 3.19, FDR-corrected p < 0.05; fraction mixed (balanced), M = 0.72, 95% CI: [0.11, 1.55], FDR-corrected p > 0.05; fraction mixed (deprived eye), M = 0.47, 95% CI: [0.21, 0.75], t(12) = 3.19, FDR-corrected p < 0.05. These results indicate that the mixed percepts were enhanced without the introduction of eye-specific bias.
To further investigate, we analyzed changes in the overall fraction (
Figure 4A) and median duration (
Figure 4B) of overall mixed visibility (extracted from the reduced time series illustrated in
Figure 2C). Patching significantly increased both the overall fraction of mixed visibility,
Figure 4A,
M = 0.33, bootstrapped 95% CI: [0.19, 0.52],
t(12) = 3.51, FDR-corrected
p < 0.01, and the median duration of mixed visibility,
Figure 4B,
M = 0.30, bootstrapped 95% CI: [0.17, 0.44],
t(12) = 4.17, FDR-corrected
p < 0.01. The shift in perceptual eye dominance (using the exclusive percepts) was also highly significant,
M = 0.20, 95% CI: [0.11, 0.29],
t(12) = 4.42,
p < 0.001,
Figure 4C. Interestingly, we did not observe a significant shift in perceptual eye dominance within the mixed percepts, mean difference = 0.03, 95% CI: [−0.04, 0.11],
t(13) = 0.78,
p > 0.05, further suggesting that the shift in perceptual eye dominance and the increase in mixed visibility may be separate effects of patching.
For five out of the 13 participants, we collected data from rivalry blocks at 0, 30, and 60 min after patching to determine the time course of the decay of the patching-induced effects. We conducted repeated-measures ANOVAs on the group means for the three postdeprivation measurements to evaluate whether the patching-induced shifts changed significantly over the course of the experiment. Due to the small number of participants in this subset, most of our statistical tests for these analyses were underpowered. They still, however, give a noteworthy insight into both the intersubject variability of these effects and their time courses over an hour after patching.
The ANOVA did not yield a significant decay of the effect of MD on the overall fraction of mixed visibility (which was weak to begin with in this smaller subsample), Wilks' lambda = 0.60,
F(2, 10) = 1.30,
p < 0.05,
Display Formula\(\eta _p^2\) = 0.21, (
Figure 4A, right panel). However, there was an observable trend of recovery to baseline levels over the course of an hour after patching (t0:
M = 0.74, 95% CI: [−0.22, 1.71]; t30:
M = 0.65, 95% CI: [0.06, 1.23]; t60:
M = 0.31, 95% CI: [−0.37, 0.99]).
Likewise, the ANOVA did not produce a significant decay of the effect of MD on the median duration of mixed visibility, Wilks' lambda = 0.60,
F(2, 8) = 1.55,
p > 0.05,
Display Formula\(\eta _p^2\) = 0.28 (
Figure 4B); however, there was also an observable trend of recovery to baseline levels over the course of an hour after patching (t0:
M = 1.18, 95% CI: [0.06, 2.30]; t30:
M = 0.64, 95% CI: [−0.43, 1.74]; t60:
M = 0.28, 95% CI: [−0.55, 1.13]).
Finally, the decay of the effect of MD on perceptual eye dominance was also not significant for this subset of participants, Wilks' lambda = 0.27,
F(2, 8) = 1.78,
p > 0.05,
Display Formula\(\eta _p^2\) = 0.30 (
Figure 4C, right panel). However, perceptual eye dominance was significantly shifted with respect to baseline immediately following MD,
M = 0.12, 95% CI: [0.10, 0.23],
t(4) = 3.1, FDR-corrected
p < 0.05), as well at 30 min after removing the patch,
M = 0.08, 95% CI: [0.05, 0.11],
t(4) = 7.37, FDR-corrected
p < 0.01, but not at 60 min (FDR-corrected
p > 0.05), suggesting a gradual recovery to baseline levels.
Our initial analyses found that the median durations of the two exclusive percepts are highly correlated with one another (Spearman rho = 0.93,
p < 0.001). This finding inspired us to utilize a PCA to transform the variables in our median duration data set (exclusive left, mixed, exclusive right) into a new set of statistically uncorrelated variables that were possibly more informative of neural processes underlying rivalry. We administered a descriptive PCA on the baseline median durations extracted from the processed time series illustrated in
Figure 2C to uncover three PCs that explained 100% of the variability in our data (
Figure 5A). The PCA coefficients indicate the degree to which each PC (PCs 1–3) is associated with the original rivalry percept variables. PC 1 is most closely associated with the median duration of mixed visibility and explains 70.10% of the variability in the baseline data. For the purpose of this analysis, PC 1 can be interpreted as the binocular combination component underlying rivalry phase durations. For PC 2, the PCA extracted the correlation between the two exclusive percept variables; PC 2 is most closely associated with the median duration of both exclusive percepts and explains 28.94% of variability in the data. PC 2 can then be feasibly regarded as the perceptual suppression component underlying rivalry phase durations. Finally, PC 3 is anticorrelated between the two exclusive percepts and uncorrelated with mixed visibility; this PC explains the remaining 0.95% of the variability in the data. PC 3 points to interocular balance, or perceptual eye dominance, as a small underlying component influencing the baseline rivalry phase duration data.
We transformed both the baseline median duration data and the postpatching median duration data by projecting these data sets into the PC space defined by the coefficient matrix extracted from the baseline data. This procedure yielded two data sets, corresponding to the PC scores for each participant for each PC before and after monocular patching (see “Methods” for more details). As a sanity check, we confirmed correlations between these PC scores and the features they represented in the baseline data. For PC 1, this was the median duration of mixed visibility; for PC 2, this was the median duration of exclusive visibility (the arithmetic mean of the median durations of the two exclusive percepts); and for PC 3, this was perceptual eye dominance, calculated using the procedure outlined in
Equation 1. We
z-normalized (mean = 0, standard deviation = 1) both the PC scores and their corresponding features in the original data set to ensure both sets were scaled similarly for comparison. The PC scores were all significantly correlated with the features we extracted from the original data set,
Fs(1, 12) ≥ 21.4,
ps < 0.001, adjusted
R2 ≥ 0.61, indicating the PCA successfully extracted meaningful components underlying the phase-duration data at baseline (
Figure 5C).
FDR-corrected pair-wise t tests were conducted on the postbaseline PC scores. We found that patching significantly increased the mean score of PC 1, M = 0.65, 95% CI: [0.09, 1.21], t(13) = 2.52, FDR-corrected p < 0.05, and PC 3, M = 0.33, 95% CI: [0.11, 0.55], t(13) = 3.31, FDR-corrected p < 0.05, but not PC 2, M = −0.06, 95% CI: [−0.44, 0.30], t(13) = −0.40; FDR-corrected p > 0.05. Notably, the PCA uncovered statistically uncorrelated components of rivalry phase duration data that map on quite well to our understanding of several factors involved in binocular rivalry: binocular combination, perceptual suppression, and perceptual eye dominance. This approach allowed us to evaluate patching-induced changes within these mechanistic components, extending the insights of the previous analyses. Specifically, our results indicate that MD affects putative neural mechanisms responsible for binocular combination and perceptual eye dominance rather than those responsible for exclusive dominance.