基于因子分析和聚类分析的高中学生成绩评价的数学模型——以山西省平定一中高三文科班为例

Mathematics Model on Evaluating Senior Middle School Students' Study Achievement Based on Factor and Cluster Analysis Method——A Case Study of Libral Art Class of Senior 3 in Pingding No.1 Middle School in Shanxi Province

各科分数及总分的名次是高中教师评价学生学习的主要手段,但有所欠缺。因此,文章利用因子分析和聚类分析方法,结合山西省平定县第一中学校高三文科某班学生的考试成绩建立数学模型,首先用SPSS19.0软件分析分数,从六门课中抽取出三个彼此不重合的公共因子和综合因子,用综合因子的分值评价学生;接着按照综合因子的分值对学生进行聚类,给出客观的分类结果;最后给出教学建议。本模型为高中教师完善对学生学习的评价提供了新的依据.

The ranking lists of the single-course score and all courses scores in a class are the main efficient way to evaluate a student's performance for the teachers in senior middle schools.But there still exists some shortcomings.Therefore in this paper,factor analysis and cluster analysis are used to builda mathematics model for thescores of the senior students from thelibral art classes in Pingding NO 1middle school.Firstly these scores are analysed with SPSS 19.0software,and three common factors that have no same elements and comprehensive factorare extracted from six subjects,then value of comprehensive factor is used to appraised students' performance;secondly,students are objectively clustered based on the value,the result of cluster is obtained;and finally some advice isput forward.This model can provide a new basis for senior middle school teachers with the improvement of evaluating students' performance.