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ANSC*6370 - QG and Animal Breeding
Fall 2003 - Assignment 13

Data on three traits are available on 7 animals as shown below.

Animal	Sire	Dam	Age Group	Trait 1	Trait 2	Trait 3
6	1	3	3	2.5	-	162
7	1	4	2	8.4	35	175
8	1	5	3	8.2	41	-
9	2	3	1	9.0	27	183
10	2	4	1	7.8	32	156
11	2	5	2	2.8	-	168
12	6	10	3	7.4	67	-

Let the model for trait 3 be

$$y_{3i} = \mu_{3} + a_{3i} + e_{3i}$$

Assume that

$${\bf R} = \left( \begin{array}{rrr} 10 & 5 & 30 \\ 5 & 100 & 71 \\ 30 & 71 & 960 \end{array} \right),$$

and

$${\bf G} = \left( \begin{array}{rrr} 1 & 2 & -6 \\ 2 & 15 & -12 \\ -6 & -12 & 800 \end{array} \right).$$

Set up the multi-trait MME and solve.