Publications [#380099] of Peter D. Hoff
Papers Published
- Yu, C; Hoff, PD. "Adaptive multigroup confidence intervals with constant coverage." Biometrika 105.2 (June, 2018): 319-335. [doi]
(last updated on 2026/01/13)Abstract:
Commonly used interval procedures for multigroup data attain their nominal coverage rates across a population of groups on average, but their actual coverage rate for a given group will be above or below the nominal rate, depending on the group mean. While correct coverage for a given group can be achieved with a standard t-interval, this approach is not adaptive to the available information about the distribution of group-specific means. In this article we construct confidence intervals that have a constant frequentist coverage rate and that make use of information about across-group heterogeneity, resulting in constant-coverage intervals that are narrower than standard t-intervals on average across groups. Such intervals are constructed by inverting biased Bayes-optimal tests for the mean of each group, where the prior distribution for a given group is estimated with data from the other groups.