Some Exact Conditional Tests of Independence for <i>R</i> × <i>C</i> Cross-Classification Tables

Abstract

Exact conditional tests of independence in cross-classification tables are formulated based on the χ 2 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 χ 2 statistic.