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June, 1986 Intergroup Diversity and Concordance for Ranking Data: An Approach via Metrics for Permutations
Paul D. Feigin, Mayer Alvo
Ann. Statist. 14(2): 691-707 (June, 1986). DOI: 10.1214/aos/1176349947

Abstract

Motivated by the apportionment of diversity analysis due to C. R. Rao, a general approach to comparing populations of rankers is proposed. Each permutation metric corresponds to a particular population characteristic that forms the basis of the comparison. Tests of hypotheses concerning equality of characteristics are developed. Throughout, comparison is made with earlier work, most of which is based on the use of only the Spearman metric. Extension to tied rankings is discussed. Examples for two groups are presented which illustrate the computational feasibility as well as the value of the proposed procedures.

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Paul D. Feigin. Mayer Alvo. "Intergroup Diversity and Concordance for Ranking Data: An Approach via Metrics for Permutations." Ann. Statist. 14 (2) 691 - 707, June, 1986. https://doi.org/10.1214/aos/1176349947

Information

Published: June, 1986
First available in Project Euclid: 12 April 2007

zbMATH: 0604.62042
MathSciNet: MR840523
Digital Object Identifier: 10.1214/aos/1176349947

Subjects:
Primary: 62G10
Secondary: 20B99, 62G05, 62J10

Rights: Copyright © 1986 Institute of Mathematical Statistics

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Vol.14 • No. 2 • June, 1986
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