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Ranking from Unbalanced Paired-Comparison Data

The work

AuthorsH. A. DAVID
Editors
Typearticle
Year1987
Citekeydavid1987ranking

Where it appeared

Published inBiometrika
PublisherOxford University Press
Volume74
Issue2
Pages432

Identifiers

DOI10.1093/biomet/74.2.432
OpenAlexW1982118397

From OpenAlex, which stores abstracts as an index of words and their positions: what is shown is rebuilt from that, and reads fluently whether or not it is what the author wrote.

Abstract

It is proposed that for ranking objects or players in an incomplete paired-comparison experiment or tournament with at most one comparison per pair, the score of a player, C, be the total number of (a) wins of players defeated by C minus losses of players to whom C lost, plus (b) C's wins minus C's losses. A tied match counts as half a win plus half a loss. More general tournaments can be treated similarly.

How it got here

How it got hereagent via openalex
Added2026-10-29 05:03 UTC
Not denied bya person 2026-10-29 17:12 UTC

Cite it as

@article{david1987ranking,
  title        = {Ranking from Unbalanced Paired-Comparison Data},
  author       = {H. A. DAVID},
  year         = {1987},
  journal      = {Biometrika},
  publisher    = {Oxford University Press},
  volume       = {74},
  number       = {2},
  pages        = {432},
  doi          = {10.1093/biomet/74.2.432},
}

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