安徽省城市经济实力的主成份分析

The Principal Component Analysis on the Economic Strength of Cities in Anhui Province

主成份分析运用降维的思想全面分析多项指标,从中提取较少几项互不相关的综合指标对数据进行综合分析,既降低数据的维数,并且克服了数据间的相关性又保留了原始数据包含的信息,是分析变得简单易行。以2015年安徽省16地市的主要经济指标为基础,运用主成份分析得出反映地区经济基础、生活水平和物质状况、商业贸易繁荣度的三个主成份,并以此对安徽城市经济实力进行排序和综合评价,得出省会合肥经济实力最强,皖东南地市经济较强,皖北皖西城市经济较弱的结论,与实际情况非常吻合。最后分析地域经济发展不平衡的原因,并给出改善的有效对策,以期为地区的经济发展提供参考,这不但在理论上,实践上对安徽地域经济的协调发展都有现实的指导意义。

The analysis of principal component uses some indexes by reducing dimension of data, extracts the less several unrelated comprehensive index to analyze data. This method not only reduces the dimension of data, and overcomes the correlation between data and retains the information of original data. The method makes it easier and simpler in the analysis of data. The article bases on the major economic indexes of 16 cities of Anhui Province in 2015, gets three principal components that indicate the area economic basis, the standards of living and material status, the prosperity of commercial trade by using the analysis of principal component, then it uses the method to rank and synthetically evaluate the economic strength of cities in Anhui according to them. It comes to conclusion that the economic strength of Hefei is the strongest, the southeast city＇s economy is stronger than ones of the Northern cities and the Western cities in Anhui, which satisfies with the actual situation very well. At last, it explores the reasons for the unbalance of regional economy, and put forward the effective countermeasures for improvement of economy, in order to provide reference for the region＇s economic development, which has realistic directive significance on the coordinated development of the economy of Anhui not only in theory but also in practice.