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F-Test Alternatives to Fisher’s Exact Test and to the Chi-Square Test of Homogeneity in 2 × 2 Tables

Author

Listed:
  • John E. Overall
  • Robert R. Starbuck

Abstract

A binomial model is proposed for testing the significance of differences in binary response probabilities in two independent treatment groups. Without correction for continuity, the binomial statistic is essentially equivalent to Fisher’s exact probability. With correction for continuity, the binomial statistic approaches Pearson’s chi-square. Due to mutual dependence of the binomial and F distributions on the beta distribution, a simple F statistic can be used for computation instead of the binomial.

Suggested Citation

  • John E. Overall & Robert R. Starbuck, 1983. "F-Test Alternatives to Fisher’s Exact Test and to the Chi-Square Test of Homogeneity in 2 × 2 Tables," Journal of Educational and Behavioral Statistics, , vol. 8(1), pages 59-73, March.
    • Handle: RePEc:sae:jedbes:v:8:y:1983:i:1:p:59-73
    DOI: 10.3102/10769986008001059
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