<abstract xmlns="http://www.w3.org/1999/xhtml">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 <italic>T</italic>3 test, <italic>BP</italic> test and |χ| 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 <italic>H</italic>0 was used and the power of the tests was calculated.</abstract>

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 |χ| 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.

The LMS for testing independence in two-way contingency tables

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"The LMS for testing independence in two-way contingency tables"}

In the statistical literature there are proposed many test measures to determine the independence of two qualitative variables in contingency tables, in...

The LMS for testing independence in two-way contingency tables

Published Online: Jun 13, 2019

Page range: 17 - 43

DOI: https://doi.org/10.2478/bile-2019-0003

Keywords
independence test, contingency table, Monte Carlo method, generating contingency tables

© 2019 Piotr Sulewski, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The LMS for testing independence in two-way contingency tables

Published Online: Jun 13, 2019

Page range: 17 - 43

DOI: https://doi.org/10.2478/bile-2019-0003

Keywordsindependence test, contingency table, Monte Carlo method, generating contingency tables

© 2019 Piotr Sulewski, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
independence test, contingency table, Monte Carlo method, generating contingency tables