Although some individual differences were found, the overall trends were similar for all participants. Thus we pooled the individual data and performed one sample
t test to compare the observed
psame with the predicted curve from independent and common mechanisms. The
t test was applied only to the results using the oculomotor responses during the overall duration of the test stimulus because the analogous tendencies were found in any time windows. Because the
t test was applied twice for each of 11 priming durations, the likelihood of false-positive significant results could have been increased. To avoid this problem,
p values were multiplied by 22 (Bonferroni's correction). The corrected
p values greater than 1 were set equal to 1. An angular transformation was used on proportions before conducting the
t test with Bonferroni's correction. To reduce the concern regarding the independence assumption of the
t test by pooling the individual data, clustered robust standard errors were used (
Stock & Watson, 2012).
Figure 3 illustrates the pooled result of the priming effect in the perception and oculomotor domains (top panels) and the observed and predicted
psame (bottom panels) for the five participants (
Figure 2). Again, the priming effect on the perceived direction of the test stimulus shifted from positive to negative with an increase in the priming duration. Meanwhile, the eye generally moved in the same direction as the priming stimulus. For a priming duration shorter than 300 ms where a positive priming was observed in the majority of trials, the observed
psame was significantly different from the predicted curve based on common mechanisms (
t(152) = 3.94, corrected
p < 0.01 for 100-ms priming duration;
t(154) = 11.21, corrected
p < 0.0001 for 167-ms priming duration) except for 67-ms priming duration (
t(158) = 1.60, corrected
p = 1.00), but not from the predicted curve based on independent mechanisms (
t(158) = 0.19, corrected
p = 1.00 for 67-ms priming duration;
t(152) = 0.90, corrected
p = 1.00 for 100-ms priming duration;
t(154) = 1.47, corrected
p = 1.00 for 167-ms priming duration). For a priming duration longer than 600 ms in which the negative priming was dominant, the observed
psame was not significantly different from the predicted curves based on both common (
t(153) = 1.96, corrected
p = 0.56 for 1067-ms priming duration;
t(152) = 0.87, corrected
p = 1.00 for 1067-ms priming duration;
t(148) = 1.18, corrected
p = 1.00 for 1600-ms priming duration;
t(143) = 0.57, corrected
p = 1.00 for 2133-ms priming duration;
t(139) = 0.10, corrected
p = 1.00 for 3200-ms priming duration) and independent mechanisms (
t(153) = 0.07, corrected
p = 1.00 for 800-ms priming duration;
t(152) = 0.97, corrected
p = 1.00 for 1067-ms priming duration;
t(148) = 0.55, corrected
p = 1.00 for 1600-ms priming duration;
t(143) = 0.44, corrected
p = 1.00 for 2133-ms priming duration;
t(139) = 0.47, corrected
p = 1.00 for 3200-ms priming duration).