Modyfikacja testu niezależności
Modification of the test of independence

Summary/Abstract: This paper proposes a modification of the classic test of independence chi-square involving the use of modular statistics, as a measure of discrepancy between the observed and hypothetical distribution. Module statistics differs from Pearson chi-square statistics that deviation square of the theoretical and expected empirical probability is replaced by absolute value. For the proposed statistics is given the critical value |X|α by different size samples of significance α∈{0,01; 0,05; 0,1}. The ability of two-part tables was examined to detect a relationship between characteristics, defined as the power of the test as well as the results were compared with the power of the test of independence, using statistics by X2 z (k – 1)(w – 1) degrees of freedom. The author examined whether the distribution of discrepancy measurements of two-part tables is consistent with the theoretical distribution of chi-square by X2 z (k – 1)(w – 1) degrees of freedom. Their usefulness in statistical practice was indicated too.

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