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When to use Fisher's exact test?

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Answer

  • 2×2 (or r×c) contingency table with small expected counts (E < 5) where chi-square approximation fails.
  • Computes an exact p-value from the hypergeometric distribution.
  • Slow for large tables.
  • Standard for small clinical trials, rare-event categorical data.
  • Modern alternative for larger tables: Monte Carlo χ2{\chi}^{2} (simulate null distribution).
Check yourself — multiple choice
  • For continuous data
  • Exact p from hypergeometric on 2×2 (or r×c) tables — use when expected counts < 5 or chi-square fails
  • Same as t-test
  • Only large samples

Fisher exact: exact hypergeometric p on contingency tables; small counts.

#hypothesis-testing#parametric-tests

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