A significant minimization of Pearson’s X2 statistics in 2x2 contingency tables: preliminary results for small samples

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DOI:

https://doi.org/10.2427/12949

Abstract

 

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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Published

2022-02-17

How to Cite

1.
Serra N. A significant minimization of Pearson’s X2 statistics in 2x2 contingency tables: preliminary results for small samples. ebph [Internet]. 2022 Feb. 17 [cited 2025 Feb. 9];15(3). Available from: https://riviste.unimi.it/index.php/ebph/article/view/17380

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Section

Biostatistics