Fig. 4

\(n =\) 5472; Kuiper’s statistic is \(0.1531 / \sigma = 11.32\), Kolmogorov’s and Smirnov’s is \(0.1531 / \sigma = 11.32\); the reliability diagrams all have trouble resolving the sharp behavior corresponding to the relatively sharp corners in the cumulative graphs (a and b), though the reliability diagram with 50 bins that has an equal number of subpopulation scores per bin (e) is decent. The metrics of Kuiper and of Kolmogorov and Smirnov report extremely statistically significant deviation, taking values of many times \(\sigma\)