关于我国31个省市自治区经济发展的多元统计分析

The Multivariate Statistical Analysis on the Economic Development of Thirty One Provinces, Cities and Autonomous Regions in China

通过多元统计的因子分析和聚类分析方法,对我国31个省、市、自治区的11项社会经济发展指标数据进行主成分因子分析,旨在提取能近似且具有综合性解释社会经济发展的几个因子成分,以据此对各地区社会经济发展状况进行分类、比较和综合评价。选取前3个主成分因子,累积贡献率达89.411%,对因子进行了正交旋转后,得到了能较好解释社会经济发展状况的总量因子、均量因子和价格因子成分,据此对各地区进行聚类分析,将31个省市分为4类,对其结果结合实际生活进行了一定的分析,有针对性地评价了现行社会政策并给出了一定的合理化建议。

Through the factorial analysis and cluster analysis of multivariate statistics,this paper makes the main factor analysis on 11 indexes of economic development indexes and data of 31 provinces,cities and autonomous regions in China for drawing several factors that can be used to explain the social and economic development approximately and comprehensively,and based on that the social and economic development of each region can be classified,compared and evaluated comprehensively.This paper selects top 3 main factors with cumulative contribution rate of 89.411%,and after orthogonal rotation of the factors,obtains the total quantity factor,average quantity factor and price factor,and based on them,makes the cluster analysis on each region,classifies 31 provinces,cities and autonomous regions in China into 4 kinds,and connecting with the actual life,analyzes the results,evaluates existing social policies,and puts forward some rationalization proposals.