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The Distribution of the χ2 Statistic in Small Contingency Tables

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  • J. M. Craddock
  • C. R. Flood

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.

Suggested Citation

  • J. M. Craddock & C. R. Flood, 1970. "The Distribution of the χ2 Statistic in Small Contingency Tables," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 19(2), pages 173-181, June.
    • Handle: RePEc:bla:jorssc:v:19:y:1970:i:2:p:173-181
    DOI: 10.2307/2346547
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