Abstract
Ideas and methods developed by Henderson have been applied widely to BLUP of additive genetic merit of animals and estimation of components of variance. However, a number of other contributions of Henderson to theory and application of animal breeding and statistics have not been as fully examined and exploited. Some of these contributions are complete in their own right and others lay the groundwork to help resolve remaining problems. Henderson had insight and made contributions to the areas of analysis of line and breed cross data, hypothesis testing under mixed linear models, prediction of breeding values with unknown variances, and selection models. The general flexibility of Henderson's mixed model methods to quantify a large variety of biological effects is also illustrated and discussed in light of new technologies in genetics and biology.
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