Am. Van Heelsum et al., Non-normality in carcass quality measurements and effects on the genetic evaluation of sheep, LIVEST PROD, 69(2), 2001, pp. 113-127
In order to estimate genetic parameters for four traits related to carcass
quality in sheep (live weight. ultrasonic fat and muscle depth and in vivo
conformation, assessed at 21 weeks of age), the validity was tested of the
assumptions of homogeneity of variance and normality of residuals. Animals
were of the Bluefaced Leicester breed, the most prevalent crossing sire bre
ed used in the UK. The fit of the model and the distribution of the residua
ls were investigated when fitting a mixed (animal) model after applying Box
-Cox power transformations to deal with scale-related non-normality. For ul
trasonic fat depth, the log-transformation was shown to improve normality a
nd decreased the correlation between hock means and standard deviations, Th
e other traits did not show sufficient improvement to justify a transformat
ion. For ultrasonic fat depth, the regression of both genetic and residual
variance on sample means obtained by bootstrapping (sampling hocks) was pos
itive whereas the regression of heritability on sample means was negative,
The log-transformation made the association weaker and the regression coeff
icient changed sign for genetic variance only. The four traits all had mode
rately high heritabilities. Log-transforming ultrasonic fat depth caused th
e heritability to decrease from 0.43 to 0.30. Conformation had the lowest h
eritability (0.20) but had high positive correlations with the other traits
, suggesting that improving conformation could lead to more muscling but ma
y also increase the amount of fat in the carcass. The log-transformation ha
d a major effect on ranking of individuals based on estimated breeding valu
es, particularly fur high selection intensities. (C) 2001 Elsevier Science
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