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Volume (56) Number 1 pp. 17-43
Piotr Sulewski 1
1The Pomeranian University, Institute of Mathematics, 76-200, Słupsk, Poland
The LMS for testing independence in two-way contingency tables
Summary
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.
Keywords: independence test, contingency table, Monte Carlo method, generating contingency tables
DOI: 10.2478/bile-2019-0003
For citation:
| MLA | Sulewski, Piotr. "The LMS for testing independence in two-way contingency tables." Biometrical Letters 56.1 (2019): 17-43. DOI: 10.2478/bile-2019-0003 |
| APA | Sulewski, P. (2019). The LMS for testing independence in two-way contingency tables. Biometrical Letters 56(1), 17-43 DOI: 10.2478/bile-2019-0003 |
| ISO 690 | SULEWSKI, Piotr. The LMS for testing independence in two-way contingency tables. Biometrical Letters, 2019, 56.1: 17-43. DOI: 10.2478/bile-2019-0003 |