Simultaneous Confidence Intervals for Ranks With Application to Ranking Institutions

Understand

When a ranking of institutions such as medical centers or universities is based on an indicator provided with a standard error, confidence intervals should be calculated to assess the quality of these ranks.

• We consider the problem of constructing simultaneous confidence intervals for the ranks of means based on an observed sample.
• For this aim, the only available method from the literature uses Monte-Carlo simulations and is highly anticonservative especially when the means are close to each other or have ties.
• We present a novel method based on Tukey's honest significant difference test (HSD).