NONPARAMETRIC MODELLING VIA TWO-WAY MIXED EFFECTS DESIGN

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Atıf İçin Kopyala

Demircioglu S., GÜVEN B.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.70, sa.1, ss.194-204, 2021 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 70 Sayı: 1
• Basım Tarihi: 2021
• Doi Numarası: 10.31801/cfsuasmas.726132
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.194-204
• Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

The classical F-test for testing the hypothesis of no fixed main effects in a mixed effects design is valid under the assumption of normality, symmetry and variance homogeneity of the error terms assumption. We consider the two-way mixed effects design which does not require these three assumptions. A test procedure for the hypothesis of no main fixed effects is developed under this flexible model. The asymptotic distribution of the test statistic is studied for a large number of levels of the random effects.