Biometrical Letters Vol. 56(1), 2019, pp. 17-43

In the statistical literature there are proposed many test measures to determine the independence of two qualitative variables in contingency tables, in particular in two-way contingency tables larger than 2×2. For statistical analysis, three of the so-called "chi-squared tests" — the T₃ test, BP test and |X| test — were selected. These tests were compared with a logarithmic minimum test, which is the author’s proposal. Critical values for the tests were determined with the Monte Carlo method. To compare the tests, an appropriate measure of untruthfulness of H₀ was used and the power of the tests was calculated.

independence test; contingency table; Monte Carlo method; generating contingency tables