Next, we verified that low-level factors, such as position error and retinal slip resulting from pre-saccadic velocity, did not contribute to the observed increase in saccadic latencies in the dual task conditions. According to the de Brouwer, Yuksel, Blohm, Missal, and Lefèvre (
2002) model, the execution of catch-up saccades is mainly predicted by the
eye crossing time (ECT). Defined as the time it would take the eye to cross the target's path with its actual velocity, ECT is determined by retinal velocity (or retinal slip, RS) and distance between the target from the fovea (or position error, PE): ECT = PE/RS (de Brouwer et al.,
2002). Negative values denote that the fovea is lagging behind the target. ECT measures were based on eye velocity and position 124 ms before CS1. In
Experiment 1, a three-way rmANOVA (task load × relative motion × SOA) was run on ECT values. With relative motion, saccades were triggered at more negative ECTs than without (−122 vs. −111 ms),
F(1,7) = 6.50,
p < .05. There were more negative ECTs in the dual task than in the single task condition (−135 vs. −98 ms),
F(1,7) = 14.00,
p < .001. The interaction between SOA and relative motion,
F(4,28) = 5.89,
p < .001, indicated that the effect of relative motion was maximal at an SOA of 100 ms (with vs. without relative motion: −150 vs. −115 ms),
t(7) = 4.21, corrected
p < .02. The expected interaction between SOA and task load was also confirmed,
F(4,28) = 5.88,
p < .001. Post hoc comparisons showed more negative ECTs in the dual than in the single task conditions for the SOA of 200 and 100 ms (difference of 63 and 52 ms,
t(7) = 3.44 and
t(7) = 3.79, respectively, corrected
ps < .05). In sum, the analysis of ECT shows that the different latencies of catch-up saccades are matched by differences of the ECT distributions. The same analysis was run on
Experiments 2 and
3 and confirmed independence of pre-saccadic ECT values and the delay observed in the dual task.