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Approximating Exact Probabilities by χ 2 and Continuity‐Corrected χ 2 in 2×2 Tables
Author(s) -
Berres M.
Publication year - 1983
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.19830250603
Subject(s) - hypergeometric distribution , contingency table , mathematics , hypergeometric function , computation , distribution (mathematics) , statistics , combinatorics , mathematical analysis , algorithm
Computations have been performed to find an adequate definition of exact two‐sided probabilities in 2times2 contingency tables. It turns out, that both uncorrected χ 2 and Yates' correction for continuity give only unsatisfactory approximations to the exact probabilities of the hypergeometric distribution. The latter are therefore recommended for general use.