We report on a search for anomalous kinematics of tt¯ dilepton events in pp¯ collisions at s√=1.96  TeV using 193  pb−1 of data collected with the CDF II detector. We developed a new a priori technique designed to isolate the subset in a data sample revealing the largest deviation from standard model (SM) expectations and to quantify the significance of this departure. In the four-variable space considered, no particular subset shows a significant discrepancy, and we find that the probability of obtaining a data sample less consistent with the SM than what is observed is 1.0%–4.5%.