Econometrica

Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Jan, 2023, Volume 91, Issue 1

Invidious Comparisons: Ranking and Selection as Compound Decisions

https://doi.org/10.3982/ECTA19304
p. 1-41

Jiaying Gu, Roger Koenker

There is an innate human tendency, one might call it the “league table mentality,” to construct rankings. Schools, hospitals, sports teams, movies, and myriad other objects are ranked even though their inherent multi‐dimensionality would suggest that—at best—only partial orderings were possible. We consider a large class of elementary ranking problems in which we observe noisy, scalar measurements of merit for n objects of potentially heterogeneous precision and are asked to select a group of the objects that are “most meritorious.” The problem is naturally formulated in the compound decision framework of Robbins's (1956) empirical Bayes theory, but it also exhibits close connections to the recent literature on multiple testing. The nonparametric maximum likelihood estimator for mixture models (Kiefer and Wolfowitz (1956)) is employed to construct optimal ranking and selection rules. Performance of the rules is evaluated in simulations and an application to ranking U.S. kidney dialysis centers.


Full Content

Supplemental Material

Supplement to "Invidious Comparisons: Ranking and Selection as Compound Decisions"

Jiaying Gu and Roger Koenker

This zip file contains the replication files for the manuscript.

Supplement to "Invidious Comparisons: Ranking and Selection as Compound Decisions"

Jiaying Gu and Roger Koenker

This appendix contains material not found within the manuscript.


Comments & Corrigenda

Journal News

View