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The True Distributions of the Range of Rank Totals in the Two-Way Classification

Published online by Cambridge University Press:  01 January 2025

Peter Dunn-Rankin  and
Frank Wilcoxon
Peter Dunn-Rankin
Affiliation:
University of Hawaii
Frank Wilcoxon
Affiliation:
Florida State University
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Abstract

This paper presents the results from an investigation of the true probability distributions of the range of rank totals. A procedure for generating an approximation to the true distributions is also given. A comparison of the results of this approximation with an extensive criterion of generated true and sample distributions, and with other approximations is indicated. Accurate estimates of the critical ranges necessary to reach significance at three commonly used alpha levels, where the number of judges and items is less than or equal to sixteen, are presented in tabular form.

Type
Original Paper
Information
Psychometrika , Volume 31 , Issue 4 , December 1966 , pp. 573 - 580
Copyright
Copyright © 1966 Psychometric Society

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