The Annals of Statistics

Intergroup Diversity and Concordance for Ranking Data: An Approach via Metrics for Permutations

Paul D. Feigin and Mayer Alvo

Full-text: Open access

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.

Article information

Source
Ann. Statist., Volume 14, Number 2 (1986), 691-707.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176349947

Digital Object Identifier
doi:10.1214/aos/1176349947

Mathematical Reviews number (MathSciNet)
MR840523

Zentralblatt MATH identifier
0604.62042

JSTOR
links.jstor.org

Subjects
Primary: 62G10: Hypothesis testing
Secondary: 62G05: Estimation 62J10: Analysis of variance and covariance 20B99: None of the above, but in this section

Keywords
Intergroup concordance Kendall's tau Spearman's rho Spearman's footrule tied rankings

Citation

Feigin, Paul D.; Alvo, Mayer. Intergroup Diversity and Concordance for Ranking Data: An Approach via Metrics for Permutations. Ann. Statist. 14 (1986), no. 2, 691--707. doi:10.1214/aos/1176349947. https://projecteuclid.org/euclid.aos/1176349947


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