TY  - JOUR
T1  - Some Remarks on the Equalities of Predictors in Linear Mixed Models
AU  - Yiğit, Melike
AU  - Güler, Nesrin
AU  - Eriş Büyükkaya, Melek
PY  - 2021
DA  - December
Y2  - 2021
DO  - 10.36753/mathenot.892258
JF  - Mathematical Sciences and Applications E-Notes
JO  - Math. Sci. Appl. E-Notes
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2147-6268
SP  - 185
EP  - 193
VL  - 9
IS  - 4
LA  - en
AB  - 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.
KW  - BLUP
KW  - equalities
KW  - linear mixed model
KW  - random vectors
KW  - transformed model
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UR  - https://doi.org/10.36753/mathenot.892258
L1  - https://dergipark.org.tr/en/download/article-file/1621854
ER  -