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Additive Genetic Model with Groups and Relationships

Cornell University, Ithaca, NY 14853

ABSTRACT

From simple genetic assumptions, matrix expressions are derived for the first and second moments of a random vector of breeding values. Emphasis is on structure in these matrix representations that can be exploited computationally in a mixed model analysis. Also derived are mixed model equations corresponding to a model in which the random vector has nonnull mean. These equations are particularly advantageous for fitting a particular kind of animal model with groups and relationships.

¹ Department of Animal Science, 114 Morrison Hall.

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