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A moment inequality approach to statistical inference for rankings

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  • Ryo Okui

    (Seoul National University)

Abstract

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.

Suggested Citation

  • Ryo Okui, 2021. "A moment inequality approach to statistical inference for rankings," The Japanese Economic Review, Springer, vol. 72(2), pages 169-184, April.
    • Handle: RePEc:spr:jecrev:v:72:y:2021:i:2:d:10.1007_s42973-020-00068-2
    DOI: 10.1007/s42973-020-00068-2
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    References listed on IDEAS

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    More about this item

    Keywords

    Ranking; Social choice theory; Confidence set; Moment inequality; Nippon Professional Baseball;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • Z20 - Other Special Topics - - Sports Economics - - - General

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