Exact Sample Sizes for Use with the Fisher-Irwin Test for 2 x 2 Tables
Abstract
Gail and Gart (1973) present tables showing the required sample size, n, for the Fisher-Irwin exact conditional test for 2 X 2 tables to achieve a power of at least 0.50, 0.80 and 0.90 against one-sided alternatives at the nominal .05 and .01 significance levels. However, calculations for n > 35 were based on the Arc sine approximation, which was found to underestimate the actual required sample size by as much as 34%. The purpose of this note is to revise the Gail-Gart tables, giving exact sample sizes in all cases. The problem of nominal versus actual significance levels when the underlying probability of response is low is also briefly discussed.
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G*Power 3 includes Fisher's exact conditional test as a second variant.
“A second variant is Fisher's exact conditional test (Haseman, 1978).”
From G*Power 3: A flexible statistical power analysis program for the social, behavioral, and biomedical sciences (2007) · cites this paper as Haseman, 1978
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- Authors
- Haseman, J. K.
- Corresponding author
- Haseman, J. K.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1978-03
- Volume
- 34
- Issue
- 1
- Pages
- 106
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W2323344932
- Cited by
- 99
- References
- 5
- Citations by year
- 2021: 1 · 2019: 2 · 2015: 3 · 2014: 1 · 2013: 1
- FWCI
- 7.08
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Keywords
- sample size determination, 2x2 contingency tables, statistical power
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