Testing for main fixed effects: The symmetry assumption and monotone incomplete data


Demircioğlu S., GÜVEN B.

Communications in Statistics - Theory and Methods, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1080/03610926.2022.2150051
  • Journal Name: Communications in Statistics - Theory and Methods
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Business Source Elite, Business Source Premier, CAB Abstracts, Compendex, Veterinary Science Database, zbMATH, Civil Engineering Abstracts
  • Keywords: 62F03, 62J10, Hotelling’s T2-test, Monotone incomplete data, Symmetry Assumption, Two-way mixed design
  • Çanakkale Onsekiz Mart University Affiliated: Yes

Abstract

© 2022 Taylor & Francis Group, LLC.We consider the balanced two-way mixed effects design with some empty cells. A test procedure for the hypothesis of no main fixed effects is developed under violation of the assumption of variance homogeneity and symmetry. The asymptotic null distribution of the test statistics is studied under the condition that the number of levels of the random effects tends to infinity as both the number of complete and incomplete observations tend to infinity. An illustrative example is given.