Continuity correction of Pearson’s chi-square test in 2x2 Contingency Tables: A mini-review on recent development

The Pearson’s chi-square test represents a nonparametric test more used in Biomedicine and Social Sciences, but it introduces an error for 2x2 contingency tables, when a discrete probability distribution is approximated with a continuous distribution. The first author to introduce the continuity cor...

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Bibliographic Details
Main Authors: Nicola Serra, Teresa Rea, Paola Di Carlo, Consolato Sergi
Format: Article
Language:English
Published: Milano University Press 2019-06-01
Series:Epidemiology, Biostatistics and Public Health
Online Access:https://ebph.it/article/view/13059
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Summary:The Pearson’s chi-square test represents a nonparametric test more used in Biomedicine and Social Sciences, but it introduces an error for 2x2 contingency tables, when a discrete probability distribution is approximated with a continuous distribution. The first author to introduce the continuity correction of Pearson’s chi-square test has been Yates F. (1934). Unfortunately, Yates’s correction may tend to overcorrect of p-value, this can implicate an overly conservative result. Therefore many authors have introduced variants Pearson’s chi-square statistic, as alternative continuity correction to Yates’s correction. The goal of this paper is to describe the most recent continuity corrections, proposed for Pearson’s chi-square test.  Key words: Pearson’s x2 statistic; continuity correction; 2x2 contingency table; Yates’s continuity correction, Serra’s continuity correction
ISSN:2282-0930