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4. a. Romeo, a promising thoroughbred stallion, was recently retired to stud. Hi

ID: 47333 • Letter: 4

Question

4. a. Romeo, a promising thoroughbred stallion, was recently retired to stud. His first five foals have just completed their maiden races, averaging 2.5 seconds faster than their contemporary group means.

i.. Use a single-source selection index to predict Romeo's breeding value for racing time (assume h^2=0.32)

ii. Calculate accuracy of prediction

b. Aragorn, the old champion, has sired 110 foals. They have run, on average, 5.1 races apiece, averaging once second faster than contemporary group means

i. predict Aragorn's breeding value for racing time (assume h^2=.32 and r=0.55)

ii. calculate accurace of prediction

c. why is aragorn's EBV better than Romeo's even though Romeo's offspring have run faster than Aragorn's?

d. All else being equal, which sire would you use? Why?

Explanation / Answer

A) Accuracy of prediction

                        = h2 /n

            Where n = number of foals.

= 0.32/ 5

= 0.064

B) Aragorn's breeding value for racing time

                         = h2 * r

                           =0.32 X 0.55

                          = 0.176.

             Accuracy of prediction

                                       = h2 /n

                                       = 0.32 / 110

                                       = 0.0029

           D) I would use the Aragon’s stallion as he has better EBV.

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