• Title/Summary/Keyword: strong stochastic transitivity

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A Bayesian Approach to Dependent Paired Comparison Rankings

  • Kim, Hea-Jung;Kim, Dae-Hwang
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.05a
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    • pp.85-90
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    • 2003
  • In this paper we develop a method for finding optimal ordering of K statistical models. This is based on a dependent paired comparison experimental arrangement whose results can naturally be represented by a completely oriented graph (also so called tournament graph). Introducing preference probabilities, strong transitivity conditions, and an optimal criterion to the graph, we show that a Hamiltonian path obtained from row sum ranking is the optimal ordering. Necessary theories involved in the method and computation are provided. As an application of the method, generalized variances of K multivariate normal populations are compared by a Bayesian approach.

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