Confidence Intervals for Ranks : Theory and Applications in Binomial Data

Abstract: Building on the work of Holm (2012), we continue to theorize the construction of the confidence intervals for ranks (CIR) and to analyze their empirical performance. First, we replace the original asymptotic test with two exact tests. Then we apply all the tests to real medical data to identify the high/low achieving groups of hospitals. Finally, we conduct a simulation study to compare the relative performance of test statistics, and to compute the empirical confidence coefficients of CIRs. This paper also identifies areas of improvement for future study.