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On Approximate Confidence Intervals for Measures of Concordance

Published online by Cambridge University Press:  01 January 2025

Albert D. Palachek  and
William R. Schucany
Albert D. Palachek
Affiliation:
University of Cincinnati
William R. Schucany*
Affiliation:
Southern Methodist University
*
Requests for reprints should be sent to William R. Schucany, Department of Statistics, Southern Methodist University, Dallas, TX. 75275.
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Abstract

The use of U-statistics based on rank correlation coefficients in estimating the strength of concordance among a group of rankers is examined for cases where the null hypothesis of random rankings is not tenable. The studentized U-statistics is asymptotically distribution-free, and the Student-t approximation is used for small and moderate sized samples. An approximate confidence interval is constructed for the strength of concordance. Monte Carlo results indicate that the Student-t approximation can be improved by estimating the degrees of freedom.

Keywords

Concordanceconfidence intervalsjackkniferank correlationU-Statistics
Type
Original Paper
Information
Psychometrika , Volume 49 , Issue 1 , March 1984 , pp. 133 - 141
Copyright
Copyright © 1984 The Psychometric Society

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Footnotes

Research partially supported on ONR Contract N00014-82-K-0207.

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