Page 145 - Linear Models for the Prediction of Animal Breeding Values 3rd Edition
P. 145

to the correlated residual variance structure in Eqn 8.7. As mentioned earlier, residual
        error structure is block diagonal with all elements between the various block diagonals
        being zero. Thus for the example data in Table 8.1, with n = 3, the R block diagonal
        structure for one group is:

                é1  r  r ù   æ10 2 .  0 2 .  ö
                ê       ú  2  ç          ÷
                                       .
                                            .
                               .
                             ç
                                         ÷
                        ú
                ê
            R = r   1  r s e  = 02 1 0 2 60.6   and
                             ç
                                         ÷
                                    .
                ë êr  r  ú 1 û  è 02 .  02 1 ø
                 æ  . 0 01768  -  . 0 00295  -  . 0 00295 ö
                 ç
            R -1  = -  . 0 00295  . 0 01768  -  . 0 00295 ÷ ÷
                 ç
                 ç                              ÷
                                          .
                 è  - -0 00295.  - 0 00295.  0 01768 ø
        The MME can then easily be set following the usual principles.












































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