主成分分析、因子分析、聚类分析的比较与应用

:20071023:(1982),,,(,250022):,,,:;;:G441:A:10082816(2007)06002304,-,,,,,,[1](34),,,()()(),,85%,,,,,,,x1,x2,...,x3,,pxi,pZi,Z1,,,,,,;,20076124,,,[2](14-17):,,,,,,,,,[3](66),,,,,[4](338)(),(),,,,(0,),,(),,;,p,p,m(mp),m,,,,,,,,,,mRn,k,:,,,[5](339-340),,,,01,,,,,,,,42:20076,,,,z()1,,2,()1:,,,;,,2:,,()1:,2:,,,,,,,,,,,,,85%,,,[6](93-96),Cr,Ni,Sr,Au,Cu,S,,,Cr,Ni,Sr,Au,Cu,S,,,,1,,,,,,[7](130-132),200,,,80%,52124,,;C,,,,,,,,,,,,,,:[1].[J].,2005,(1).[2].[J].,2003,(5).[3],.[J].,2006,(5).[4][5].SPSSforWindows(2)[M].:,2005.[6],.[J].,1996,(1).[7],.[J].(),2005,(2).CompareandApplicationofPrincipalComponentAnalysis,FactorAnalysisandClusteringAnalysisLiXinrui(SchoolofPoliticalScienceandPublicAdministration,UniversityofJinan,Jinan250022,China)Abstract:Principalcomponentanalysis,factoranalysisandclusteringanalysisareallthefamiliarstatisticalmethods.Thispapercomparedthethreeanalysismethodsfromthebasicthoughts,datasstandardizationandthemeritsanddemeritsasinapplication.Atlast,illuminatedtheapplicationofthethreemethodsinpracticalproblemwithexamples.Keywords:Principalcomponentanalysis;Factoranalysis;Clusteringanalysis62:20076