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Systemic testing on Bradley-Terry model against nonlinear ranking hierarchy.

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.

SUBMITTER: Shev A

PROVIDER: S-EPMC4274013 | biostudies-literature | 2014

REPOSITORIES: biostudies-literature

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Systemic testing on Bradley-Terry model against nonlinear ranking hierarchy.

Shev Aaron A Fujii Kevin K Hsieh Fushing F McCowan Brenda B

PloS one 20141222 12

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 b ...[more]

PMID: 25531899

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