Bayesian Analysis of Rank Data With Application to Primate Intelligence Experiments

Valen E Johnson Valen E. Johnson is a Technical Staff Member, Statistical Sciences, MS F600, Los Alamos National Laboratory, Los Alamos, NM 87545 , and is on leave from the Institute of Statistics and Decision Sciences, Duke University, Durham, NC 27708, where he is a Professor. Robert O. Deaner is a Research Associate, Department of Neurobiology, Duke University Medical Center, Durham, NC 27710. Carel P. van Schaik is a Professor, Department of Biological Anthropology,Duke University, Durham, NC 27708.

Robert O Deaner Valen E. Johnson is a Technical Staff Member, Statistical Sciences, MS F600, Los Alamos National Laboratory, Los Alamos, NM 87545 , and is on leave from the Institute of Statistics and Decision Sciences, Duke University, Durham, NC 27708, where he is a Professor. Robert O. Deaner is a Research Associate, Department of Neurobiology, Duke University Medical Center, Durham, NC 27710. Carel P. van Schaik is a Professor, Department of Biological Anthropology,Duke University, Durham, NC 27708.

Carel P van Schaik Valen E. Johnson is a Technical Staff Member, Statistical Sciences, MS F600, Los Alamos National Laboratory, Los Alamos, NM 87545 , and is on leave from the Institute of Statistics and Decision Sciences, Duke University, Durham, NC 27708, where he is a Professor. Robert O. Deaner is a Research Associate, Department of Neurobiology, Duke University Medical Center, Durham, NC 27710. Carel P. van Schaik is a Professor, Department of Biological Anthropology,Duke University, Durham, NC 27708.

Abstract

A model for analyzing rank data obtained from multiple evaluators, possibly using different ranking criteria, is proposed. The model is specified hierarchically within the Bayesian paradigm and includes parameters that represent the probabilities that two items are assigned equal rankings. Also included are parameters that account for the relative precision of rankings obtained from distinct evaluation schemes. The model is illustrated through a meta-analysis of rank data collected to compare the cognitive abilities of various primate genera.

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Bayesian Analysis of Rank Data With Application to Primate Intelligence Experiments

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