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Exact Conditional Tests for Cross-Classifications: Approximation of Attained Significance Levels

Published online by Cambridge University Press:  01 January 2025

Alan Agresti ,
Dennis Wackerly  and
James M. Boyett
Alan Agresti
Affiliation:
University of Florida
Dennis Wackerly
Affiliation:
University of Florida
James M. Boyett*
Affiliation:
University of Florida
*
Requests for reprints should be sent to James M. Boyett, Department of Statistics, Nuclear Sciences Center, University of Florida, Gainesville, Florida, 32611.
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Abstract

A procedure is proposed for approximating attained significance levels of exact conditional tests. The procedure utilizes a sampling from the null distribution of tables having the same marginal frequencies as the observed table. Application of the approximation through a computer subroutine yields precise approximations for practically any table dimensions and sample size.

Keywords

contingency tablesindependencechi-squareKruskal-Walliscomputer algorithm
Type
Original Paper
Information
Psychometrika , Volume 44 , Issue 1 , March 1979 , pp. 75 - 83
Copyright
Copyright © 1979 The Psychometric Society

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Footnotes

The authors gratefully acknowledge helpful discussions with Professor John G. Saw which lead to the procedure for sampling the tables. Gratitude is also extended to the referees for their helpful comments and to the Northeast Regional Data Center at the University of Florida for computer support.

References

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