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The Discriminant Function Applied to Quality Rating in Sheep

United States Department of Agriculture

Abstract

In this study, type score was found to be the main factor in determining quality rank. The other scores and measures are all highly correlated with type and have their own particular value. However, as far as separating the groups, the scores and measures, aside from type, can be considered as of little use. A similar analysis was made on the more objective measurements such as body weight, height, etc., as listed in Table 4. It was found that after allowance was made for body weight no measure contributed additional discriminating information. For this reason, a detailed function based on objective measures is not given. The discriminant function method applied to these data has shown the steps by which scores and measures can be analyzed to determine their relative value in assigning animals to quality groups. This method also provides a means of determining the predictive value of scores and measures that can be expressed in terms of the percent of animals that may be expected to be correctly classified.