False Discovery Rate - False Coverage Rate

False Coverage Rate

The False coverage rate (FCR) is the FDR equivalent to the idea of confidence interval. FCR indicates the average rate of false coverage, namely, not covering the true parameters, among the selected intervals. The FCR gives a simultaneous coverage at a level for all of the parameters considered in the problem. Intervals with simultaneous coverage probability 1−q can control the FCR to be bounded by q. There are many FCR procedures such as: Bonferroni-Selected–Bonferroni-Adjusted, Adjusted BH-Selected CIs (Benjamini and Yekutieli (2005)), Bayes FCR (Yekutieli (2008)), and other Bayes methods. The incentive of choosing one procedure over another is the length of the CI we will want it to be narrow as possible while controlling the FCR.