文档介绍：毕业论文
题目主成分分析法在SPSS中的操作及在
学生成绩评价中的应用
学院数学科学学院
专业数学与应用数学
班级数学1302班
学生朱越文
学号 20130921154
指导教师邢顺来
二〇一七年五月二十日
摘要
主成分分析也称主分量分析,是用降维的思想,把分析中较多的相关因素生成少数几个无关综合因素的一种方法。在多元统计方法中,主成分分析是一种基本的统计方法。它不单将多指标转化为较少的综合指标,并且能给出比较客观的权重。
在本文中,首先对主成分分析的基本原理、基本模型、几何意义和求解主成分的方法进行介绍。再依赖SPSS软件实现主成分分析方法在成绩分析的应用。本文采用的数据是济南大学2013届数学科学学院1302班的成绩,对SPSS得出的结果进行分析评价,分析得出大学四年开设的所有课程主要与11个主成分因子有关,再对这11 个因子进一步归类,得出大学生考研与这11 类主成分因子归纳出的8类因子有很大的关联性,并依据结果再进行评价。使得教师根据这种分析方法,能够给学生在大一到大三期间明确需要补漏的方向,从而提高学生的考研成功率。
关键词:主成分分析;SPSS;综合指标;多元统计
ABSTRACT
ponent analysis, is an analysis of ways to reduce the number of indicators into a prehensive indicators. Many of the revaluation methods of human factors, the ponent analysis as a basic statistical method, not only multi-indicators into prehensive indicators, and can give a more objective weight.
In this paper, we first introduce the basic principle, basic model, geometric meaning and ponent method of ponent analysis. And the rely on SPSS software to achieve the application of ponent analysis in performance analysis. The data used in this paper are the results of 1302 classes of 2013 School of Mathematical Sciences in Jinan University. The results obtained from SPSS are analyzed and evaluated. All the courses offered by four years are mainly related to 11 ponent factors. The factors are further classified, and it is concluded that the college entrance examination is of great relevance to the 7 factors of the 11 ponent factors, and the results are evaluated according to the results. So that teachers based on this analysis method, to the students clearly need to trap the direction of the students, so as to improve the ess rate of students PubMed.
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Key words: ponent analysis; SPSS; comprehensive index; multivariate statistics
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