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Journal of Dairy Science Vol. 65 No. 6 1051-1054
© 1982 by American Dairy Science Association ®
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Mathematical Interrelationships Between Milk Constituents and Yields1

A. K. Sharma2, F. G. Martin3 and C. J. Wilcox2

Dairy Science and Statistics Departments, University of Florida Institute of Food and Agricultural Sciences, Gainesville 32611

ABSTRACT

Because measurements of milk composition are generated from other direct measures, mathematical relationships underly them. These have been demonstrated for several, but not all, relationships of interest for milk composition. No new mathematical concepts are required for their development. Expected values were obtained by the moment generating function of multivariate normal distribution. Shown are means, variances, and covariances of various combinations of milk yield. specific gravity, and percents fat, protein, solids-not-fat, and lactose-mineral. Results are applicable to genetic and phenotypic parameters.


FOOTNOTES

1 Florida Agricultural Experiment Station Journal Series No. 2582.

2 Dairy Science Department.

3 Statistics Department.







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