- Mathematical Sciences and Applications E-Notes
- Vol: 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 Yiğit, Nesrin Güler, Melek Eriş Büyükkaya
Pages : 185-193
Doi:10.36753/mathenot.892258
View : 12 | Download : 7
Publication Date : 2021-12-31
Article Type : Research
Abstract :Consider a transformed linear mixed model (TLMM) obtained pre-multiplying a linear mixed model (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 (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