A significant minimization of Pearson’s X2 statistics in 2x2 contingency tables: preliminary results for small samples
The Pearson’s chi-square test or X2 test represents a nonparametric test more used in Medicine, Biology and Social Sciences, but it introduces some error for 2x2 contingency tables, therefore Yates introduces a continuity correction. This correction produces a very conservative result of X2 statisti...
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| Format: | Article |
| Language: | English |
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Milano University Press
2018-09-01
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| Series: | Epidemiology, Biostatistics and Public Health |
| Online Access: | https://ebph.it/article/view/12949 |
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| Summary: | The Pearson’s chi-square test or X2 test represents a nonparametric test more used in Medicine, Biology and Social Sciences, but it introduces some error for 2x2 contingency tables, therefore Yates introduces a continuity correction. This correction produces a very conservative result of X2 statistics with overestimation of p-value and consequently a type II error is very likely. The goal of this paper is to define, with a statistical approach, a significant minimization of Pearson’s X2 statistics for small data sample, based on concept of arithmetic mean, that could be a possible efficient statistic for reducing the type II error in the calculation of p-value. |
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| ISSN: | 2282-0930 |