A detailed look into the data showed that the participants varied greatly in the change of the vergence angle due to the reading condition (
Fig. 3). Therefore, we wondered if large individual differences could be predicted by some general vergence parameter.
For this purpose, we re-analyzed the data by including heterophoria as an additional fixed factor, and modeled additional interactions between heterophoria and the reading condition (binocular and monocular reading). Saccade amplitudes (b = 0.03, SE = 0.03, P = 0.38) and the standard deviations of the eye position measurement (left eye b = 0.005, SE = 0.001, P = 0.68; and right eye b = 0.002, SE = 0.001, P = 0.98, respectively) were not affected differently by heterophoria when reading was changed from binocular to monocular viewing. All other parameters showed clear interactions; the saccade disconjugacies were larger for larger exophorias and reading with the right eye only. In other words, when reading was monocular, the disconjugacy decreased when the heterophorias were closer to zero; that is, when the participants were more orthophoric (b = 0.05, SE = 0.005, P < 0.01). The correlated drift in vergence also became more divergent for larger exophorias and monocular reading (b = 0.02, SE = 0.008, P < 0.01). Furthermore, the vergence angle at the beginning of the fixation periods became less convergent as the participants were more exophoric and with monocular reading (b = 0.74, SE = 0.03, P < 0.01). For the more orthophoric participants, the vergence angle was not noticeably different between binocular and monocular reading. Additionally, for the first fixation duration, the following obvious interaction between heterophorias and the reading condition was found: if the participants were more orthophoric, the first fixation duration was longer for monocular reading, whereas it was shorter under the same conditions for more exophoric readers (b = 18.42, SE = 7.26, P < 0.01).
To illustrate the effect of heterophoria on binocular coordination during monocular and binocular reading, we sorted the sample of 13 participants according to their level of heterophoria (
Table 1). Then, we selected two subgroups: the first group contained the 3 participants who showed the smallest heterophorias, or were almost orthophoric, and the second group contained the 3 participants with the largest exophorias. As seen in
Table 2, the mean values for the saccade disconjugacies, drift in vergence during fixations, overall vergence angles, and first fixation durations showed clear differences between these two groups when the reading conditions changed from monocular to binocular. These results were expected based on the analysis reported above.