All participants were within the fixation window at least 70% of the time (M = 90.6%, SD = 7.4%); therefore, no participants were excluded. We further checked the eye-tracking data across participants in response to a reviewer (thus departing from our pre-registration). Where a saccade was detected during the trial using standard EyeLink criteria, the horizontal and vertical mean landing positions of the subsequent fixation were 0.21° and 0.11°, and the standard deviations were 1.36° and 1.25°, respectively. This means that 75% of the saccades were within 1° of the central fixation point (0.9° vertically and 0.8° horizontally, respectively). Overall, these data suggest that, when a saccade was generated, the vast majority of the saccades were relatively small and around the fixation rather than toward the annulus. In addition, we checked the number of saccades for the different cue types. For valid trials, on 42.56% of trials no saccade was detected; where a saccade was detected, 51.94% of trials were inside and 5.50% of trials were outside the fixation window. For invalid trials, no saccade was detected in 38.22%; 56.11% were inside and 5.67% were outside the fixation window. For neutral trials, no saccade was detected in 42.22%; 52.00% were inside and 5.78% were outside the fixation window. This suggests that there were no large or systematic differences in eye movements between the different cue types, which in turn means it is unlikely that overt attention accounts for our results.
Trials where no response was given were included in the threshold estimation procedure and subsequent analyses. These non-response trials were excluded from RT data analysis. Across participants, 5.47% of trials were excluded due to a non-response in the RT analyses: 1.39% of trials were excluded in the valid cue, 1.89% in the invalid cue, and 2.19% in the neutral cue conditions.