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Modifying the exact test for a binomial proportion and comparisons with other approaches

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  • Alan Hutson

Abstract

In this note we provide a simple continuity and tail-corrected approach to the standard exact test for a single binomial proportion commonly used in practice. We redefine the p-value for the two-sided alternative by noting the skewed distribution of the sample proportion under the null hypothesis. We illustrate that for both one and two-sided alternatives the coverage probabilities of the new methodology approaches more closely the desired type I error α and thus recommend these modifications to the applied statistician for consideration.

Suggested Citation

  • Alan Hutson, 2006. "Modifying the exact test for a binomial proportion and comparisons with other approaches," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(7), pages 679-690.
    • Handle: RePEc:taf:japsta:v:33:y:2006:i:7:p:679-690
    DOI: 10.1080/02664760600708723
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    Cited by:

    1. Måns Thulin, 2014. "Coverage-adjusted Confidence Intervals for a Binomial Proportion," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 41(2), pages 291-300, June.

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    Keywords

    Binomial confidence interval; exact test;

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