Piotr Sulewski

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The first aim of this paper is to present the theory of the proposal of the author in the form of modular statistics for three-way contingency table 2×2×2 and examine its properties in relation to known “chi-squared statistics”. The second aim is to describe the procedure of generating the content of these tables using the bar method. The third aim is to propose the measure of untruthfulness of null hypothesis as well as to compare the quality of independence tests using their power. Critical values for all analyzed statistics were determined by simulation methods of Monte Carlo.


three-way contingency tables, modular statistics, independence test, bar method, Monte Carlo method


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