Piotr Sulewski
##### ABSTRACT

In the statistical literature there are many test measures to study the independence features in the two-way contingency tables. For statistical analysis, the family of six so-called “chi-squared statistic” was selected – including Pearson’s Χ2 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 statisti c”, critical values for all analyzed statistics were determined by simulation methods of Monte Carlo. 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.

##### KEYWORDS

two-way contingency tables, independence test, critical values, Monte Carlo study

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