Effect Sizes for 2x2 Contingency Tables

Sample size calculations are an important part of research to balance the use of resources and to avoid undue harm to participants. Effect sizes are an integral part of these calculations and meaningful values are often unknown to the researcher. General recommendations for effect sizes have been pr...

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Bibliographic Details
Published inPloS one Vol. 8; no. 3; p. e58777
Main Authors Olivier, Jake, Bell, Melanie L
Format Journal Article
LanguageEnglish
Published Public Library of Science 07.03.2013
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Summary:Sample size calculations are an important part of research to balance the use of resources and to avoid undue harm to participants. Effect sizes are an integral part of these calculations and meaningful values are often unknown to the researcher. General recommendations for effect sizes have been proposed for several commonly used statistical procedures. For the analysis of tables, recommendations have been given for the correlation coefficient for binary data; however, it is well known that suffers from poor statistical properties. The odds ratio is not problematic, although recommendations based on objective reasoning do not exist. This paper proposes odds ratio recommendations that are anchored to for fixed marginal probabilities. It will further be demonstrated that the marginal assumptions can be relaxed resulting in more general results.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0058777