Performance Comparison of Independence Tests in Two-Way Contingency Tables


ÖZTÜRK E., Basol M., GÖKSÜLÜK D., KARAHAN S.

Revstat Statistical Journal, vol.21, no.2, pp.219-233, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.57805/revstat.v21i2.403
  • Journal Name: Revstat Statistical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.219-233
  • Keywords: contingency table, power, power divergence, simulation study, type one error
  • Erciyes University Affiliated: Yes

Abstract

Several test statistics are available for testing the independence of categorical variables from twoway contingency tables. A vast majority of published articles used the Pearson’s chi-squared test for such purposes; however, this test statistic may lead to biased conclusions under certain conditions. Therefore, we aimed to compare the performance of test statistics via a comprehensive simulation study considering several factors in contingency tables. We also evaluated the performance of each test statistic on a real-life dataset. This study contributes to the literature guiding researchers to select an appropriate test statistic under different conditions.