ANSC*6370 - Animal Models - Fall 09
Assignment 6. Animal Model Problem.
Pedigrees and Data.
Animal Sire Dam Year Cont. Grp. Record
1 - - 1 1 22
2 - - 1 1 39
3 - - 1 2 17
4 - - 1 2 24
5 1 2 2 3 14
6 1 4 2 3 34
7 3 2 2 4 28
8 3 4 2 4 23
9 5 7 2 4 37
10 6 8 3 5 41
11 6 7 3 5 25
12 5 8 3 5 38
13 10 9 3 6 16
14 11 8 3 6 26
Assume the model equation
yijk =ti+cj+ak+eijk ,
where µis the overall mean, tiis a fixed year effect, cjis a random contemporary group effect,
akis a random animal additive genetic effect, and eijk is a random residual effect.
1. Set up Ato get inbreeding coefficients.
2. Compute the bivalues from the inbreeding coefficients for each animal.
3. Write out A−1
4. Set up the MME. Assume that σ2
e/σ2
a= 1.5 and σ2
e/σ2
c= 6.0.
5. Compute SEP and reliabilities for each animal, and rank them by their EBVs.
6. Why does the animal, with the highest reliability, have the highest reliability?
7. What is the time trend?
8. What is the genetic trend?
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