Penalized power-divergence test statistics for testing linear-by-linear association

ALIN A.

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, cilt.82, sa.2, ss.227-239, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 82 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/00949655.2011.565418
  • Dergi Adı: JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.227-239
  • Anahtar Kelimeler: contingency table, empty cells, ordinal categorical variable, linear-by-linear association, log-linear model, penalization, power-divergence test statistics, CONTINGENCY-TABLES, LOGLINEAR MODELS
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

Two different families of penalized power-divergence test statistics have been defined to find alternatives to the likelihood ratio and the Pearson chi-squared test statistics for testing linear-by-linear association in two-way contingency tables with empty cell(s). The exact size and power properties of these test statistics and the ordinary power-divergence test statistics have been studied based on an extensive designed simulation study. Different penalized test statistics have been proposed depending on their exact size and power performances.