The Distribution of the χ2 Statistic in Small Contingency Tables

J. M. Craddock and C. R. Flood

Journal of the Royal Statistical Society Series C, 1970, vol. 19, issue 2, 173-181

Abstract: An investigation is made into the distribution of the χ2 statistic in contingency tables of sizes from 5 times 5 down to 3 times 2 when the average expectancies, based on the marginal totals, are about equal, and lie in the range from 1 to 5. Tables of the percentile values required for significance testing are produced and show systematic deviations from those of the χ2 distribution. Similar results are given for testing 5 times 1, 4 times 1 and 3 times 1 frequency tables against the hypothesis of equal expected values.

Date: 1970
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