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PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
19
pubmed:dateCreated
2007-7-30
pubmed:abstractText
Two-by-two tables commonly arise in comparative trials and cross-sectional studies. In medical studies, two-by-two tables may have a small sample size due to the rarity of a condition, or to limited resources. Current recommendations on the appropriate statistical test mostly specify the chi-squared test for tables where the minimum expected number is at least 5 (following Fisher and Cochran), and otherwise the Fisher-Irwin test; but there is disagreement on which versions of the chi-squared and Fisher-Irwin tests should be used. A further uncertainty is that, according to Cochran, the number 5 was chosen arbitrarily. Computer-intensive techniques were used in this study to compare seven two-sided tests of two-by-two tables in terms of their Type I errors. The tests were K. Pearson's and Yates's chi-squared tests and the 'N-1' chi-squared test (first proposed by E. Pearson), together with four versions of the Fisher-Irwin test (including two mid-P versions). The optimum test policy was found to be analysis by the 'N-1' chi-squared test when the minimum expected number is at least 1, and otherwise, by the Fisher-Irwin test by Irwin's rule (taking the total probability of tables in either tail that are as likely as, or less likely than the one observed). This policy was found to have increased power compared to Cochran's recommendations.
pubmed:commentsCorrections
pubmed:language
eng
pubmed:journal
pubmed:citationSubset
IM
pubmed:status
MEDLINE
pubmed:month
Aug
pubmed:issn
0277-6715
pubmed:author
pubmed:issnType
Print
pubmed:day
30
pubmed:volume
26
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
3661-75
pubmed:dateRevised
2008-9-3
pubmed:meshHeading
pubmed:year
2007
pubmed:articleTitle
Chi-squared and Fisher-Irwin tests of two-by-two tables with small sample recommendations.
pubmed:affiliation
IC Statistical Services, 22 Bramhall Close, West Kirby, Wirral CH48 8BP, U.K. ian.campbell1@which.net
pubmed:publicationType
Journal Article