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A note on a simple criterion for choosing among sample joints for use in double sampling

Published online by Cambridge University Press:  02 September 2010

G. L. Cook ,
D. W. Jones  and
A. J. Kempster
G. L. Cook
Affiliation:
Meat and Livestock Commission, PO Box 44, Queensway House, Bletchley, Milton Keynes MK2 2EF
D. W. Jones
Affiliation:
Meat and Livestock Commission, PO Box 44, Queensway House, Bletchley, Milton Keynes MK2 2EF
A. J. Kempster
Affiliation:
Meat and Livestock Commission, PO Box 44, Queensway House, Bletchley, Milton Keynes MK2 2EF
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Abstract

A simple criterion is described for selecting which of a number of sample joints estimates most precisely for a given cost (T) the mean lean percentage of a population of carcasses, using double sampling. It is shown that the best joint is the one giving the largest value of:

where ρ is the correlation between the lean content of the sample joint and the lean content of a carcass side (y), and k is the cost of the sample joint dissection as a proportion of the cost of side dissection. The optimum proportion of carcasses to side dissect is:

and the standard error of the estimated mean is then:

where σyis the standard deviation of y and C is the cost of measuring y.

Type
Research Article
Information
Animal Production , Volume 36 , Issue 3 , June 1983 , pp. 493 - 495
Copyright
Copyright © British Society of Animal Science 1983

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References

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