Comparison of ordinary and penalized power-divergence test statistics for small and moderate samples in three-way contingency tables via simulation

Alın A.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.37, sa.8, ss.1593-1602, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 8
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1080/03610910802050894
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1593-1602
  • Anahtar Kelimeler: contingency table, log-linear models, penalization, penalized power-divergence measure, power-divergence measure, LOGLINEAR MODELS
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

In this article, size and power properties of the ordinary and penalized power-divergence test statistics have been compared to test a nested sequence of log-linear models for various penalization and lambda values. 2 x 2 x 2 contingency tables distributed according to a multinomial distribution are considered. The simulation study results reveal that the penalized power-divergence test statistics with penalization value of one and lambda = -1.5, -2 are the best choices for small and moderate samples, respectively.