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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| author | Nicola Serra |
| author_facet | Nicola Serra |
| author_sort | Nicola Serra |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-047bb81693da4bcd9153a4a51c6511e6 |
| institution | OA Journals |
| issn | 2282-0930 |
| language | English |
| publishDate | 2018-09-01 |
| publisher | Milano University Press |
| record_format | Article |
| series | Epidemiology, Biostatistics and Public Health |
| spelling | doaj-art-047bb81693da4bcd9153a4a51c6511e62025-08-20T02:03:07ZengMilano University PressEpidemiology, Biostatistics and Public Health2282-09302018-09-0115310.2427/1294911176A significant minimization of Pearson’s X2 statistics in 2x2 contingency tables: preliminary results for small samplesNicola Serra0University Federico II of NaplesThe 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.https://ebph.it/article/view/12949 |
| spellingShingle | Nicola Serra A significant minimization of Pearson’s X2 statistics in 2x2 contingency tables: preliminary results for small samples Epidemiology, Biostatistics and Public Health |
| title | A significant minimization of Pearson’s X2 statistics in 2x2 contingency tables: preliminary results for small samples |
| title_full | A significant minimization of Pearson’s X2 statistics in 2x2 contingency tables: preliminary results for small samples |
| title_fullStr | A significant minimization of Pearson’s X2 statistics in 2x2 contingency tables: preliminary results for small samples |
| title_full_unstemmed | A significant minimization of Pearson’s X2 statistics in 2x2 contingency tables: preliminary results for small samples |
| title_short | A significant minimization of Pearson’s X2 statistics in 2x2 contingency tables: preliminary results for small samples |
| title_sort | significant minimization of pearson s x2 statistics in 2x2 contingency tables preliminary results for small samples |
| url | https://ebph.it/article/view/12949 |
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