Cited by 99Probability and Statistical ResearchStatistical Methods in Clinical TrialsStatistical Methods in Epidemiology

Exact Sample Sizes for Use with the Fisher-Irwin Test for 2 x 2 Tables

Haseman, J. K.·1978·Biometrics

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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Crossref · 10.2307/2529595

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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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