Systemic testing on bradley-terry model against nonlinear ranking hierarchy

Aaron Shev, Kevin Fujii, Fushing Hsieh, Brenda Mccowan, Mark D. McDonnell

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We take a system point of view toward constructing any power or ranking hierarchy onto a society of human or animal players. The most common hierarchy is the linear ranking, which is habitually used in nearly all real-world problems. A stronger version of linear ranking via increasing and unvarying winning potentials, known as Bradley-Terry model, is particularly popular. Only recently non-linear ranking hierarchy is discussed and developed through recognition of dominance information contents beyond direct dyadic win-and-loss. We take this development further by rigorously arguing for the necessity of accommodating system's global pattern information contents, and then introducing a systemic testing on Bradley- Terry model. Our test statistic with an ensemble based empirical distribution favorably compares with the Deviance test equipped with a Chi-squared asymptotic approximation. Several simulated and real data sets are analyzed throughout our development.

Original languageEnglish (US)
Article numbere115367
JournalPLoS One
Volume9
Issue number12
DOIs
StatePublished - Dec 22 2014

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Medicine(all)

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