Approximate tests in unbalanced two-way random models without interaction

Guven B.

STATISTICAL PAPERS, cilt.53, sa.3, ss.753-766, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s00362-011-0378-1
  • Dergi Adı: STATISTICAL PAPERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.753-766
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Hayır

Özet

In the presence of non-normality, we consider testing for the significance of the variance components in the unbalanced two-way random model without interaction. The approximate test is based on the F-statistic for this model. The asymptotic distribution of the F-statistic is derived as the number of treatments tends to infinity while the number of observations for a treatment in any block takes value from a finite set of positive integers. Robustness of the approximate test is given.