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Some Exact Conditional Tests of Independence for R × C Cross-Classification Tables

Published online by Cambridge University Press:  01 January 2025

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

Exact conditional tests of independence in cross-classification tables are formulated based on the χ2 statistic and statistics with stronger operational interpretations, such as some nominal and ordinal measures of association. Guidelines for the table dimensions and sample sizes for which the tests are economically implemented on a computer are given. Some selected sample sizes and marginal distributions are used in a numerical comparison between the significance levels of the approximate and exact conditional tests based on the χ2 statistic.

Keywords

exact testindependencecontingency tablesordinal and nominal measures of associationchi-square testcomputer algorithm

Information

Type
Original Paper
Information
Psychometrika , Volume 42 , Issue 1 , March 1977, pp. 111 - 125
Copyright
Copyright © 1977 The Psychometric Society

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Footnotes

The authors are grateful for the suggestions of the referees and for computer funding provided by the Northeast Regional Data Center at the University of Florida.

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