Selection and combination of different breeds of animals is a commonly practiced method of improving breeding efficiency. The majority of animals produced in the commercial sector of the beef industry are crossbred animals. However, selection in the beef industry typically uses genetic values predicted from purebred populations or from multi-breed populations using models that assume genetic correlations between purebred and crossbred animals to be 1.0. If correlations between crossbred and purebred animals are less than 1.0, selection may not be as efficient as expected. Correlations between purebred and their F1 crosses can be calculated using a multiple trait model. If these correlations are found to be below the expected 1.0, other methods of evaluation should be considered. Joint evaluation of crossbred and purebred beef cattle using the crossbred model may aid in improving genetic selection.