Fig. 1

\(n =\) 6451; Kuiper’s statistic is \(0.09740 / \sigma = 7.823\), Kolmogorov’s and Smirnov’s is \(0.09724 / \sigma = 7.810\); the reliability diagrams with only 10 bins each (c and d) smooth out the jumps at high scores, and while the reliability diagrams with 50 bins each (e and f) give some indication of the jumps, the jumps still get smoothed over, while the bins for lower scores are too narrow to average away noise well. The cumulative graph (a) clearly displays the jumps, while remaining easily interpretable at lower scores. The statistics of Kuiper and of Kolmogorov and Smirnov are both several times greater than \(\sigma\), so both reflect that the deviation displayed in the graphs is highly statistically significant