V. Ducrocq et B. Besbes, SOLUTION OF MULTIPLE TRAIT ANIMAL-MODELS WITH MISSING DATA ON SOME TRAITS, Journal of animal breeding and genetics, 110(2), 1993, pp. 81-92
In multiple trait animal model evaluations, several transformations (c
anonical, triangular, combined) can be used to decrease the size of th
e mixed model equations or to increase their sparsity. A simple method
based on an EM argument and re lacing missing records by their expect
ation given the current parameters allows the use of the canonical tra
nsformation in situations where data are missing and selection is igno
rable. The convergence behavior of these different approaches were com
pared on real data sets simulating different missing patterns. The com
bined transformation is always better than the triangular transformati
on. The extended version of the canonical transformation clearly leads
to the fastest convergence, in terms of overall CPU time, especially
when a reduced animal model is used (2 to 3 times faster than the tria
ngular transformation) and when more traits are considered simultaneou
sly.