The Rogers and Pan estimators are very close in their performance in terms of coverage probabilities under a 1% outcome prevalence, with the Rogers estimator slightly edging out Pan on the smaller sample sizes (Figure 2). The remaining estimators performance is poor at 20 and 30 subjects but steadily improves as the sample size increases. At simulated sample sizes of 500 subjects, the estimators have converged to roughly the same coverage probabilities.