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Everything about Fisher's exact test

Statistical significance test

Fisher's exact test is a statistical significance test used in the analysis of contingency tables. Although in practice it is employed when sample sizes are small, it is valid for all sample sizes. The test assumes that all row and column sums of the contingency table were fixed by design and tends to be conservative and underpowered outside of this setting. It is one of a class of exact tests, so called because the significance of the deviation from a null hypothesis can be calculated exactly, rather than relying on an approximation that becomes exact in the limit as the sample size grows to infinity, as with many statistical tests. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Fisher's exact testA 5-minute orientation
  2. Skim a recent paper: Nonlinear Reaction–Diffusion Equations with Delay: Partial Survey, Exact Solutions, Test Problems, and Numerical IntegrationInfluential work since 2022
  3. Pick up a classic book: A comparison of the chi-square test for 1 df and the Fisher exact testThe most-reprinted book on the subject
  4. Read the landmark paper: GENEPOP (Version 1.2): Population Genetics Software for Exact Tests and EcumenicismCited 11,468 times
  5. Go sideways: Fisher's noncentral hypergeometric distributionA closely related topic
  6. Go sideways: McNemar's testA closely related topic

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