Characterizing relationships between BLUPs under linear mixed model and some associated reduced models

Eriş Büyükkaya M.

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, vol.52, no.8, pp.3438-3451, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 52 Issue: 8
  • Publication Date: 2023
  • Doi Number: 10.1080/03610918.2022.2115071
  • Journal Name: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Business Source Elite, Business Source Premier, CAB Abstracts, Compendex, Computer & Applied Sciences, Veterinary Science Database, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.3438-3451
  • Keywords: BLUP, Dispersion matrix, Inertia, Linear mixed model, Rank, Reduced linear mixed model, PARTIAL PARAMETERS, BLUES, DECOMPOSITION, EQUALITIES, ESTIMATORS, FORMULAS, MATRICES, OLSES
  • Karadeniz Technical University Affiliated: Yes

Abstract

A linear mixed model (LMM) can be given in certain multiple partitioned forms, and there exist reduced linear mixed models (RLMMs) associated with the given partitioned linear mixed model. We consider in this work the best linear unbiased predictors (BLUPs) of LMM and RLMMs. This work aims at establishing some analytical formulas for calculating ranks and inertias of dispersion matrices of BLUPs and using these formulas in the comparison of BLUPs' dispersion matrices under the LMM and RLMMs.