A moment inequality approach to statistical inference for rankings

This paper proposes an econometric method to construct confidence sets for rankings by considering the situations in which data on a comparison between each pair of alternatives are available. The key idea is that if an alternative, say A , is ranked higher than some other alternative, say B , then...

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Bibliographic Details
Published in:Japanese economic review (Oxford, England) England), 2021-04, Vol.72 (2), p.169-184
Main Author: Okui, Ryo
Format: Article
Language:English
Subjects:
Alternatives
Baseball
Development Economics
Econometrics
Economic History
Economics
Economics and Finance
Inequality
Macroeconomics/Monetary Economics//Financial Economics
Microeconomics
Ratings & rankings
Statistical inference
Tests
Citations: Items that this one cites
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Summary:This paper proposes an econometric method to construct confidence sets for rankings by considering the situations in which data on a comparison between each pair of alternatives are available. The key idea is that if an alternative, say A , is ranked higher than some other alternative, say B , then it would be natural to assume that drawing an observation in which A is compared favorably with B is more likely than the opposite. This provides an insight that we can use to test for a particular ranking by translating it into a problem of testing moment inequalities and that we can obtain confidence sets for rankings by inverting these tests of moment inequalities. We apply the proposed method to statistical inference concerning the rankings of teams in the Nippon Professional Baseball league in Japan.
ISSN:1352-4739
1468-5876
DOI:10.1007/s42973-020-00068-2