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Interpretation of Average Ranks

Robert J. Henery
Biometrika
Vol. 73, No. 1 (Apr., 1986), pp. 224-227
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2336291
Stable URL: http://www.jstor.org/stable/2336291
Page Count: 4
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Interpretation of Average Ranks
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Abstract

Given only the average ranks ξ1,...,ξk allocated by m judges to k objects, we can use order statistics models to find a value for the average of Kendall's τ between the judges' ranking and the true ranking. The choice of model is most naturally determined by an extremum principle conditional on the given average ranks: in particular, if the entropy of pairwise comparisons is maximized we are led to the shifted extreme-value model.

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