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15 Examples 294Table 15.13: REML estimates of a subset of the variance parameters for each traitfor the genetic example, expressed as a ratio to their asymptotic s.e.term wwt ywt gfw fdm fatsire 3.68 3.57 3.95 1.92 1.92dam 6.25 4.93 2.78 0.37 0.05litter 8.79 0.99 2.23 1.91 0.00age.grp 2.29 1.39 0.31 1.15 1.74sex.grp 2.90 3.43 3.70 - 1.83Table 15.14 Wald tests of the fixed effects for each trait for the genetic exampleterm wwt ywt gfw fdm fatage 331.3 67.1 52.4 2.6 7.5brr 554.6 73.4 14.9 0.3 13.9sex 196.1 123.3 0.2 2.9 0.6age.sex 10.3 1.7 1.9 - 5.0age wwt !M0 ywt !M0 # !M0 recodes zeros as missing valuesgfw !M0 fdm !M0 fat !M0coop.fmtwwt ~ mu age brr sex age.sex !r sire dam lit age.grp sex.grp !f grpTables 15.13 and 15.14 present the summary of these analyses. Fibre diameterwas measured on only 2 female lambs and so interactions with sex were notfitted. The dam variance component was quite small for both fibre diameter andfat. The REML estimate of the variance component associated with litters waseffectively zero for fat.Thus in the multivariate analysis we consider fitting the following models to thesire, dam and litter effects,var (u s ) = Σ s ⊗ I 92