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ANSC*6370 - QG and Animal Breeding
Fall 2003 - Assignment 11

1.

Generate data according to the model

y_iklm = (AX)_i + a_k + m_l + p_l+ e_iklm,

where y_iklm is a birthweight of a Simmental calf k belonging to age of dam-sex of calf subclass i, with dam l; (AX)_i is a fixed effect of age of dam by sex of calf interaction; a_k is a random additive genetic effect of the calf; m_l is a random maternal genetic effect of the dam of the calf; p_l is a random maternal permanent environmental effect of the dam; and e_iklm is a random residual effect.

Use the following data design to generate 10 calf birthweights. None of the calves nor sires and dams are inbred.

Age of	Sex of	Calf	Sire	Dam
Dam	Calf	ID	ID	ID
4	F	10	1	2
4	M	11	3	4
3	F	12	3	6
3	M	13	5	8
4	F	14	7	2
2	M	15	3	10
2	F	16	5	12
4	M	17	9	6
2	F	18	9	14
3	M	19	11	10

Assume that

$$\begin{eqnarray*}\sigma^{2}_{a} & = & 40, \\ \sigma^{2}_{m} & = & 20, \\ \sigm... ... & -2, \\ \sigma^{2}_{p} & = & 11, \\ \sigma^{2}_{e} & = & 74. \end{eqnarray*}$$

Let the (AX) means be

Age	Sex	Mean
2	M	52
2	F	47
3	M	55
3	F	50
4	M	59
4	F	53

2.

Analyze the simulated data using the same model.

3.

Correlate the direct EBVs to the true BVs and also correlate the maternal EBVs to the true maternal BVs. Compare estimates of fixed effects to true values.

Help Tables

Animal	Sire	Dam	TDirect	TMaternal	MatPE
ID	ID	ID
1	-	-
2	-	-
3
4
5
6
7
8
9
10	1	2
11	3	4
12	3	6
13	5	8
14	7	2
15	3	10
16	5	12
17	9	6
18	9	14
19	11	10

Age of	Sex of	Calf	Sire	Dam	AX	TBV	MatBV	MatPE	Res.	BW
Dam	Calf	ID	ID	ID
4	F	10	1	2	53
4	M	11	3	4	59
3	F	12	3	6	50
3	M	13	5	8	55
4	F	14	7	2	53
2	M	15	3	10	52
2	F	16	5	12	47
4	M	17	9	6	59
2	F	18	9	14	47
3	M	19	11	10	55

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