Cw. Rougoor et al., The relation between breeding management and 305-day milk production, determined via principal components regression and partial least squares, LIVEST PROD, 66(1), 2000, pp. 71-83
A field study was set up to investigate the relation between breeding manag
ement and 305-day milk production. Second goal of the study was to investig
ate advantages and disadvantages of principal components regression (PCR) a
nd partial least squares (PLS) for livestock management research. Multicoll
inearity was present in the data set and the number of variables was high c
ompared to the number of observations. Out of 70 variables related to breed
ing management and technical results at dairy farms, 19 were selected for P
LS and PCR, based on a correlation of greater than or equal to 0.25 or less
than or equal to - 0.25 with 305-day milk production. Five principal compo
nents (PCs) were selected for PC-regression with 305-day milk production be
ing the goal variable. Related variables were combined into one so-called s
ynthetic factor. All synthetic variables were used in a path-analysis. The
same path-analysis was worked out with PLS. PLS forms synthetic factors cap
turing most of the information for the independent X-variables that is usef
ul for predicting the dependent Y-variable(s) while reducing the dimensiona
lity. Both methodologies showed that milk production per cow is related to
critical success factors of the producer, farm size, breeding value for pro
duction and conformation. Milk production per cow was the result of the att
itude of the farmer as well as the genetic capacity of the cow. It was foun
d that at high producing farms the producer put relatively much emphasis on
the quality of the udder and less on the kg of milk. Advantages of PLS are
the optimization towards the Y-variable, resulting in a higher R-2, and th
e possibility to include more than one Y-variable. Advantages of PCR are th
at hypothesis testing can be performed, and that complete optimisation is u
sed in determining the PCs. It is concluded that PLS is a good alternative
for PCR when relations are complex and the number of observations is small.
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