Analysis of variance in experimental design with nonnormal error distributions

Şenoğlu B., Tiku M.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.30, sa.7, ss.1335-1352, 2001 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 7
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1081/sta-100104748
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1335-1352
  • Anahtar Kelimeler: experimental design, nonnormality, block effects, interaction, skewness, generalized logistic, weibull, robustness, STATISTICS
  • Ankara Üniversitesi Adresli: Hayır

Özet

We consider a two-way classification model with interaction and assume that the errors have a location-scale nonnormal distribution. From an application of the modified likelihood estimation, we obtain efficient and robust estimators of the parameters. We define F statistics for testing main effects and interaction. We analyze the Box-Cox data and show that the method developed in this paper gives accurate results besides being easy theoretically and computationally.