主成分分析在教学质量分析中的应用

The Application of Principal Component Analysis in the Analysis of Teaching Quality

摘要: 一所学校教学质量的好坏，往往与学生的学习成绩息息相关。为了研究陕西某地区几所小学教学质量的好坏，我们对学生的12科平均成绩进行主成分分析，以便了解各个学校学生的学习成绩。研究结果表明：由学生的学习成绩来分析一所学校的教学质量的好坏，实际上可以只考虑某几个由各科成绩的平均分组成的线性组合，可以简化问题，提高分析效率。

Abstract: The quality of the teaching of a school is often closely related to the students’ academic performance. In order to study the teaching quality of several primary schools of Shaanxi, we made a principal component analysis of the average scores of 12 subjects in order to know the achievement of each school student . The research results show that the quality of a school’s teaching can be analyzed by student’s academic record. In fact, only a few linear combinations consisting of the average scores of each subject can be considered, which can simplify the problem and improve the efficiency of analysis.