Performance Comparison of Independence Tests in Two-Way Contingency Tables

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

Revstat Statistical Journal, cilt.21, sa.2, ss.219-233, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.57805/revstat.v21i2.403
  • Dergi Adı: Revstat Statistical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.219-233
  • Anahtar Kelimeler: contingency table, power, power divergence, simulation study, type one error
  • Erciyes Üniversitesi Adresli: Evet

Özet

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.