One of the requirements for an effective progeny test is that each sire bei
ng evaluated should be mated to a random sample of females; however, random
mating is seldom practiced by purebred beef cattle producers. A simple exa
mple involving 18 individuals (14 parents and 4 nonparents) was developed t
o help students enrolled in a junior-level animal breeding course comprehen
d how current genetic evaluation methodology, used on an industry-wide basi
s, accounts for nonrandom mating by purebred beef cattle breeders for a mat
ernally influenced trait such as calf weaning weight. With this example, st
udents are able to visualize, algebraically, how a sire's direct and matern
al genetic values for weaning weight are adjusted for merit of mates, permi
tting sires to be compared regardless of mating criteria used by purebred b
eef cattle producers.