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Exact Tests for Two-Way Contingency Tables with Structural Zeros

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  • West, Luke J.
  • Hankin, Robin K. S.

Abstract

Fisher's exact test, named for Sir Ronald Aylmer Fisher, tests contingency tables for homogeneity of proportion. This paper discusses a generalization of Fisher's exact test for the case where some of the table entries are constrained to be zero. The resulting test is useful for assessing cases where the null hypothesis of conditional multinomial distribution is suspected to be false. The test is implemented in the form of a new R package, aylmer.

Suggested Citation

  • West, Luke J. & Hankin, Robin K. S., 2008. "Exact Tests for Two-Way Contingency Tables with Structural Zeros," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 28(i11).
    • Handle: RePEc:jss:jstsof:v:028:i11
    DOI: http://hdl.handle.net/10.18637/jss.v028.i11
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    Cited by:

    1. Hankin, Robin K. S., 2010. "A Generalization of the Dirichlet Distribution," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 33(i11).
    2. P. M. Kroonenberg & Albert Verbeek, 2018. "The Tale of Cochran's Rule: My Contingency Table has so Many Expected Values Smaller than 5, What Am I to Do?," The American Statistician, Taylor & Francis Journals, vol. 72(2), pages 175-183, April.
    3. repec:jss:jstsof:33:i11 is not listed on IDEAS
    4. P. M. E. Altham & Robin K. S. Hankin, 2010. "Using recently developed software on a 2×2 table of matched pairs with incompletely classified data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(2), pages 377-379, March.
    5. Alessandro Rigolon & Matthew H. E. M. Browning & Olivia McAnirlin & Hyunseo (Violet) Yoon, 2021. "Green Space and Health Equity: A Systematic Review on the Potential of Green Space to Reduce Health Disparities," IJERPH, MDPI, vol. 18(5), pages 1-27, March.

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