A New Test for Independence in 2×2 Contingency Tables

Piotr Sulewski · Lodz University Press · 2017

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Author / responsible party

Piotr Sulewski

Publisher

Lodz University Press

Year

2017

ISSN

0208-6018

ISSN

0208-6018

Language

English

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In statistical literature there exist many tests to reveal the independence of two qualitative variables in two‑way contingency tables (CTs), in particular in 2×2 CTs. In this paper four independence tests were compared. These are: the chi‑square test, being the most popular type of power divergence statistics; the modular test and the d‑square test, which is a modification of the Pearson’s test; the logarithmic minimum test which is a new proposal. Critical values for the tests listed above were determined with the Monte Carlo method. In order to compare the tests, the measure of untruthfulness of H0 was proposed and the power of the tests was calculated.

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APA 7

Sulewski, P. (2017). A New Test for Independence in 2×2 Contingency Tables. https://doi.org/10.18778/0208-6018.330.04

MLA

Sulewski, Piotr. "A New Test for Independence in 2×2 Contingency Tables." 2017. https://doi.org/10.18778/0208-6018.330.04.

Chicago

Sulewski, Piotr. 2017. "A New Test for Independence in 2×2 Contingency Tables.". https://doi.org/10.18778/0208-6018.330.04.

Harvard

Sulewski, P. 2017, A New Test for Independence in 2×2 Contingency Tables, Lodz University Press, available at: https://doi.org/10.18778/0208-6018.330.04 [Accessed 5 Aug. 2026].

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Resource details

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Title: A New Test for Independence in 2×2 Contingency Tables

Author / contributors: Piotr Sulewski

Publisher: Lodz University Press

Publication year: 2017

ISSN: 0208-6018

ISSN: 0208-6018

Language: English

Subjects

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independence test; 2×2 contingency table; logarithmic minimum statistics; modular statistics; power divergence statistics; Monte Carlo method