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A Simplified Accurate Algorithm for the Fisher-Yates Exact Test

Published online by Cambridge University Press:  01 January 2025

J. P. N. Phillips
J. P. N. Phillips*
Affiliation:
University Of Hull
*
Requests for reprints should be sent to Dr. J. P. N. Phillips, Psychology, Department, The University, Cottingham Road, Hull, East Yorkshire, HU6 7RX, England.
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Abstract

An algorithm, using a short cut due to Feldman and Klingler, for the Fisher-Yates exact test is presented: the algorithm is quick, simple and accurate.

Keywords

algorithmFisher-Yates exact test
Type
Notes And Comments
Information
Psychometrika , Volume 47 , Issue 3 , September 1982 , pp. 349 - 351
Copyright
Copyright © 1982 The Psychometric Society

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Footnotes

I am grateful to the Editor and two reviewers for a number of constructive and helpful suggestions.

References

Feldman, S. E. & Klingler, E. Short cut exact calculation of the Fisher-Yates “exact test”. Psychometrika, 1963, 28, 289–291.CrossRefGoogle Scholar
Johnson, E. M. The Fisher-Yates exact test and unequal sample sizes. Psychometrika, 1972, 37, 103–106.CrossRefGoogle Scholar
Sakoda, J. M. & Cohen, B. H. Exact probabilities for contingency tables using binomial coefficients. Psychometrika, 1957, 22, 83–86.CrossRefGoogle Scholar
Siegel, S. Nonparametric statistics for the behavioural sciences, 1956, New York: McGraw-Hill.Google Scholar