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This formula is the most basic formula to estimate the breeding value of an animal: it combines the phenotypic superiority of the animal and the regression coefficient of the genetic superiority on the phenotypic superiority.

Thus:

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Thus: for estimating the breeding values of animals we try to find the best regression coefficient and the most informative phenotypic information so that our EBV comes as close to the TBV as possible.

EBV are expressed relative to the average animal to simplify identification of genetically superior animals.