Table 2. Results for the simulation study. Percentages of simulated trials that were not flagged or were flagged as under- or over-dispersed using a > 0.95 probability threshold, and a test of uniformity for the p-value distribution using a < 0.05 threshold.

Simulation type	Uniform test rejected (%)	As expected/Under-dispersed/Over-dispersed (%)
Simulated data that is not under- or over-dispersed
Continuous, minimal rounding	6.0	100/0/0
Large binary	5.6	99.6/0.4/0
50:50 binary:continuous	18.6	99.8/0/0.2
Rounded	21.2	97.0/0/3.0
Correlated categorical	27.4	97.4/2.0/0.6
Small binary	31.6	98.4/1.6/0
Skewed	43.8	98.8/1.0/0.2
Simulated data that is under- or over-dispersed
Over-dispersed	74.6	13.6/2.0/84.4
Under-dispersed	95.0	84.0/16.0/0