主成分分析法在学生成绩评价中的应用

Some applications of Principle Component Analysis in Evaluation Student's Scores

简述了主成分的定义,给出了求解主成分的重要定理及性质的证明、对主要的性质进行了解释,归纳总结出求解主成分的步骤.在应用到评价学生成绩的例子中,借助统计软件SAS计算出每一个学生在各主成分的得分和综合得分,根据各主成分的得分对学生在学科中的优势与劣势进行了说明,为教师有针对性的进行因材施教提供了一个依据.

This paper reviewed the definition of principle component analysis （PCA）, explored proofs of some important theorems and properties, and proposed tile 7-step algorithm fbr PCA. In the example of evaluating student＇s scores, with the help of SAS, I evaluated the scores in each principle component and tile total scores for every student. According to the scores in principle components, I made a little explain for tile students＇ advantages and disadvantages, which can help support teacher＇s individualized teaching with consults.