Some Remarks on the Equalities of Predictors in Linear Mixed Models

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Mathematical Sciences and Applications E-Notes
Volume:9 Issue:4
Some Remarks on the Equalities of Predictors in Linear Mixed Models

Some Remarks on the Equalities of Predictors in Linear Mixed Models

Authors : Melike YİĞİT, Nesrin GÜLER, Melek ERİŞ BÜYÜKKAYA

Pages : 185-193

Doi:10.36753/mathenot.892258

View : 27 | Download : 9

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :Consider a transformed linear mixed model insert ignore into journalissuearticles values(TLMM); obtained pre-multiplying a linear mixed model insert ignore into journalissuearticles values(LMM); M : y = Zα + Rγ + e by a given matrix. This work concerns the problem of the equalities of linear predictors under the considered two LMMs under general assumptions. We characterize the equalities between the best linear unbiased predictors insert ignore into journalissuearticles values(BLUPs); under the LMM and its TLMM by using various rank formulas of block matrices and elementary matrix operations.
Keywords : BLUP, equalities, linear mixed model, random vectors, transformed model

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