Tests’ power for independence in the two-way contingency table
Piotr Sulewski · Wiadomości Statystyczne The Polish Statistician · 2016
In the statistical literature there are many test measures to study the independence of features in the two-way contingency tables. For statistical analysis, the family of six so-called ”chi-squared statistic” was selected — including Pearson’s X² statistics — and the proposal of the author in the form of modular statistics. In order to free themselves from the limitations of the applicability of the ”chi-squared statistic”, critical values for all analyzed statistics were determined by simulation Monte Carlo methods. In order to compare the tests, the measure of untruthfulness of H₀ was proposed and calculated the power of the tests which is the ability of two-way contingency tables to reject null hypothesis which says that between features X and Y there is no relation.