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1、安徽省各市经济发展的聚类分析段凤君(安徽师范大学,芜湖市241000)关键词:区域差异;主成分分析;指标体系;聚类分析摘要:本文着力于实现对安徽省各市按其经济发展水平进行聚类,以本省17个市为研究对象,选取衡量地区经济发展状况的经济规模、经济结构、居民生活水平、对外经济贸易及科学教育水平5个方面共14项指标,建立相应的统计指标体系。首先,为遵循选取指标体系时的无重复性原则,本文对14项指标进行了主成分分析,得出14项指标中可以提取出3个主成分,其累积方差贡献率达93.486%。其次,借助主成分函数给出
2、了综合评价函数,对本省17个市进行了综合评价,并给出了排序。最后,借助各市的主成分得分、依据多元统计分析中的聚类分析方法,对17个市进行了聚类分析,最终将17个市分成5类地区,并结合分类结果提出了一些促进本省经济发展、缩小省内市间发展差异的建议。TheClusterAnalysisoftheEconomicGrowthofEachCityinAnhuiProvinceFengjunDuan(AnhuiNormalUniversity,Wuhu241000)Keywords:Regionaldiffer
3、ences;PrincipalComponentAnalysis;IndexSystem;ClusterAnalysisAbstract:ThispaperfocusesontherealizationofclusteringofthecitiesinAnhuiprovinceaccordingtotheirlevelofeconomicdevelopment,makingthe17cityintheprovincebetheresearchobject,selecting14indicatorsin
4、5aspectsincludingeconomicscale,economicstructure,thelivingstandardsofresidents,foreigneconomictradeandscienceeducationlevelasfullmeasureofregionaleconomicdevelopmenttoestablishthecorrespondingstatisticalindexsystem.Firstofall,inordertofollowtheprinciple
5、withoutrepeatabilitywhenselecttheindexsystem,thispapergoesonprincipalcomponentanalysiswith14indicators,gettingtheresult14indicatorscanextract3principalcomponents,andtheircumulativevariancecontributionratereaches93.486%.Secondly,thispapergivesthecomprehe
6、nsiveevaluationfunctionbymeansoftheprincipalcomponentfunctions,makingcomprehensiveevaluationof17citiesintheprovince,andgivingthesort.Finally,17cities’clusteranalysiswascarriedoutwiththeprincipalcomponentscoresofcities,basingontheclusteranalysismethodinm
7、ultivariatestatisticalanalysis,gettingtheresults17citiesaredividedinto5areas,andthepaperputsforwardsomesuggestionstopromotetheeconomicdevelopmentandnarrowthedevelopmentdifferencebetweenthecitiescombinedwiththeclassificationresults.5.1-9,,services,andmak
8、ethecitymoreattractive,strengtheningpublictransportinvestment,establishedasthebackboneoftheurbanrailtransitmulti-level,multi-functionalpublictransportsystem,thusprotectingtheregionalpositionandachieve1引言1.1研究背景与研究意义1.1.1选题的背景[1]最