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Exact Tests for 2 × 2 Contingency Tables

Linda June Davis
The American Statistician
Vol. 40, No. 2 (May, 1986), pp. 139-141
DOI: 10.2307/2684874
Stable URL: http://www.jstor.org/stable/2684874
Page Count: 3
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Exact Tests for 2 × 2 Contingency Tables
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Abstract

Fisher's exact test, difference in proportions, log odds ratio, Pearson's chi-squared, and likelihood ratio are compared as test statistics for testing independence of two dichotomous factors when the associated p values are computed by using the conditional distribution given the marginals. The statistics listed above that can be used for a one-sided alternative give identical p values. For a two-sided alternative, many of the above statistics lead to different p values. The p values are shown to differ only by which tables in the opposite tail from the observed table are considered more extreme than the observed table.

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