The forty-eight animals that won first, second, third, and fourth places in the twelve regular classes at the 1913 International Live Stock Show are taken as basis for this study. Each and every one of these animals are representative of the highest of Hereford standards. While it is true that these forty-eight animals do not represent the entire breed, they do representt the highest type of Herefords that is being produced in the United States, and for a sire to be rated among the foremost he should be closely related to these leading animals. / Master of Science