Abstract
This paper focuses on the research about selecting the best college sports coaches during the last century. Firstly, we build a reasonable evaluation index system, taking basketball for instance, we choose 9 evaluation indexes which are the coaching years, rate of winning, times of attending major competitions, etc. Because of too many indexes, it brings difficulty in building judgment matrix. Therefore, using the Principal Component Analysis, we get not only a fewer of indexes which almost explain the original indexes, but also the corresponding weight coefficients. Furthermore, based on the results, we give the evaluation scores of basketball coaches, and then rank them from top to bottom. AnalyticalHierarchyProcess and Comprehensive Evaluation are integrated to test the ranking result. Finally, this evaluation model is applied to football and hockey fields to select the best coaches.