Testing Independence in 2 × 2 Contingency Tables

1989 ◽  
Vol 14 (1) ◽  
pp. 47 ◽  
Author(s):  
Neal E. A. Kroll
Psychometrika ◽  
1967 ◽  
Vol 32 (1) ◽  
pp. 67-76 ◽  
Author(s):  
Kwanchai Assakul ◽  
Charles H. Proctor

Biometrics ◽  
1987 ◽  
Vol 43 (2) ◽  
pp. 471 ◽  
Author(s):  
Barry I. Graubard ◽  
Edward L. Korn

2010 ◽  
Vol 9 (2) ◽  
pp. 443-451 ◽  
Author(s):  
Peyman Jafari ◽  
Noori Akhtar-Danesh ◽  
Zahra Bagheri

2019 ◽  
Vol 56 (1) ◽  
pp. 17-43 ◽  
Author(s):  
Piotr Sulewski

SummaryIn 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.


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