Jj. Tosh et Jw. Wilton, EFFECTS OF DATA STRUCTURE ON VARIANCE PREDICTION ERROR AND ACCURACY OF GENETIC EVALUATION, Journal of animal science, 72(10), 1994, pp. 2568-2577
Several features of data structure were studied to determine their eff
ects on variance of prediction error and accuracy of evaluation. Assig
ning 50 sires with progeny to a portion of 10, 25, or 50 contemporary
groups according to a sire model with and without additive genetic rel
ationships, or assigning 50 individuals with their own record to one o
f 2, 5, or 10 contemporary groups according to an animal model, establ
ished the designs. Additive genetic relationships were based on simula
ted pedigree files. Low, medium, and high heritabilities (.10, .25, an
d .40, respectively) were considered. The inverse of coefficient matri
ces gave variances of prediction error. Populations derived from the s
ire model (n = 8,100) consisted solely of progeny-tested individuals.
For them, number of progeny had a quadratic (P < .001) association wit
h variance of prediction error (R(2) = 56 to 82%), which selection ind
ex theory underestimated when there were < 100 progeny. Number of dire
ct connections (sires of contemporaries of progeny) together with prog
eny numbers explained variance of prediction error (R(2) = 76 to 90%)
better than either variable alone. With no direct connections, varianc
e of prediction error was maximum unless a relative with at least one
direct connection itself existed. Populations derived from the animal
model (n = 900) consisted of animals with designs representing a proge
ny test, performance test, or a combination of both (34, 41, and 25% o
f the total, respectively). For performance-tested animals (without pr
ogeny), number of genetic connections was not highly correlated with v
ariance of prediction error (r = -.10, across h(2)), but relatives pre
vented zero accuracies when contemporary groups consisted of one anima
l. Even when animals had no relatives, more than five members per cont
emporary group gave little additional increase in accuracy. For other
than a progeny test, designs were complex, being described by many var
iables that were confounded.