A thoroughbred owner has six 2yo colts who have each run in their first two race

Question

A thoroughbred owner has six 2yo colts who have each run in their first two races, and posted the following records for lengths behind at the finish:

Horse               Race#1             Race#2

1                      0.0                   0.0
2                      4.5                   3.0
3                      9.0                   10.5
4                      4.0                   0.5
5                      12.5                 9.5
6                      5.5                   7.0

a. Calculate repeatability for lengths behind from this small sample.

b. Is first race performance a good indicator of second race performance? How do you know?

c. Should the owner have sold any of his horses after their first race? Why or why not?

I really need help with figuring out how to calculate repeatibility. **

Explanation / Answer

Calculation of repeatability:

Horse

Repeatability = [5.15 x average]/d2 (from table)

= [5.15 x 0.9167] 1.41 = 3.35

Horse Race 1 Race 2 Difference 1 0 0 0 2 4.5 3.0 1.5 3 9.0 10.5 1.5 4 4.0 0.5 3.5 5 12.5 9.5 3.0 6 5.5 7.0 1.5 Average = 11.0/12 = 0.9167

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