Optimization of a Joint Confidence Region for a Ranking

• Activity Number: 286 - Small-Area Estimation and Survey Methods Sampler
• Type: Contributed
• Date/Time: Tuesday, August 9, 2022 : 10:30 AM to 12:20 PM
• Sponsor: Survey Research Methods Section
• Author(s): Tommy Wright*
• Companies: U.S. Census Bureau
• Keywords: Independence (Sidak) Correction; Ranking Uncertainty; Official Statistics

Abstract

Klein, Wright, and Wieczorek (2020) present a simple novel measure of uncertainty for an estimated ranking by constructing a joint confidence region for the true (unknown) ranking of K populations. The joint confidence region tends to reveal more uncertainty for the middle of the estimated ranking than for the extremes. We begin to explore and propose a framework which may permit some control over the amount of uncertainty in various portions of the estimated ranking.