“…Note that the reported pupillary effects for cueassociated uncertainty and vowel-outcome probability do not depend on the chosen preprocessing steps and parameters, as the analysis of non-preprocessed pupil data (without interpolation, filtering, downsampling) leads to an identical pattern of significant effects. Furbased on procedures in previous studies (Montefusco-Siegmund et al, 2022;Vidal et al, 2023) and to test for the robustness of the results, we repeated the final models of cue-associated uncertainty and probability with the pupil data filtered with a band-pass filter of 0.02-1 Hz. This approach led to reduced, but similar effects for uncertainty (main effect of intermediate uncertainty: β = À 13.144, t 7204 = À0.835, P = 0.403; main effect of low uncertainty: β = À 26.146, t 7204 = À1.838, P = 0.066) and equivalent probability effects (main effect of probability: β = À 60.185, t 7089 = À2.1, P = 0.036; main effect of task accuracy: β = À 28.474, t 7089 = À2.375, P = 0.018; main effect of trial: β = À 0.225, t 7089 = À3.227, P = 0.001).…”