Ocena zdolności tablic dwudzielczych do wykrywania związku między uporządkowanymi cechami typu jakościowego
Ability evaluation of two-celled tables to detect the relationship between the ordered features of qualitative type

Summary/Abstract: Proposed by Pearson in 1900 χ2XY formula is still the most important measure to study the characteristics independence, especially since it has its extension for three variable and higher tables. The question is, what is the ability of two variable tables to detect relationship between features, what is their power. It is difficult to answer this question on the basis of the analysis. The best way seems to be generating two variable tables and determine power through simulation studies. For the 2x2 two variable table is it also possible to designate test power on the analytical way as well as comparison of obtained analytical results with empirical values.The work results will allow the reader to get an idea of the extent to which power of two variable tables depends on the sample size and the strength of the association between features. Aim of this study is to provide a ready computer implementation to test power of two variable tables stated as a set on the Internet. Presented theory and some examples will help readers to explore the test power using Pearson's χ2 statistics and model the course of the density function and cumulative distribution central and non-central chi-square distribution.

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