A dominance model is described coming with inbreeding, and five genetic parameter plus the environmental variance. The linear model is specified by the phenotypic equations and the mid-parent equations. They are placed in an indefinite system that is highly sparse, not the mixed model equations. From this system the augmented matrix K is built that is symmetric and indefinite, leading to restricted maximum likelihood. Likelihood evaluation follows from the factorization of K, and various sparse matrix tools are described for maximizing the likelihood. The method is used to estimate the six parameters for 2706 egg-laying hens that were part of a selection experiment.
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[v1] 2018-02-05 14:52:22
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