Robust 2k factorial designs: Non-normal symmetric distributions

ŞENOĞLU B., Acitaş Ş., Kasap P.

Pakistan Journal of Statistics, cilt.28, sa.1, ss.93-114, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 1
  • Basım Tarihi: 2012
  • Dergi Adı: Pakistan Journal of Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.93-114
  • Anahtar Kelimeler: Efficiency, Long-tailed symmetric family, Modified maximum likelihood, Non-normality, Robustness, Short-tailed symmetric family
  • Ankara Üniversitesi Adresli: Evet

Özet

Şenoǧlu (2005, 2007a) considered the estimation and hypothesis testing procedures for the 2k factorial designs when the error distributions are skew. They obtained the modified maximum likelihood (MML) estimators of the model parameters and proposed new test statistics based on them. They show that their solutions are more efficient and robust than the classical solutions based on the least squares (LS) estimators via Monte Carlo simulation. In this study, we extend their studies to non-normal symmetric error distributions and develop new test statistics for testing the main effects and the interactions. Moreover, a real life example is given to illustrate the theoretical results. © 2012 Pakistan Journal of Statistics.