协方差矩阵和相关系数矩阵下主成分分析比较研究

©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(2005)03201342032005(41)3CHINASPORTSCIENCEANDTECHNOLOGYVol.41,No.3,1342136,2005.ComparativeResearchonMainComponentsAnalysiswithCovarianceMatrixandCorrelationMatrixZHUXiao2feng:,,,,,,:;;;Abstract:Throughmakingcomparativeresearchonmaincomponentsanalysiswithcovariancematrixandcorrelationmatrixinsameoriginalstatistics,thispaperfoundoutbothofthemcorrelatewithap2plicationandresearchpurpose.Ifwithoutdistinguish,theadvantageanddisadvantagewouldbeex2posed.Therefore,inpracticalapplication,whichkindofmatrixwasusedformaincomponentsanalysisdependedonresearchpurpose.Keywords:covariancematrix;correlationmatrix;maincomponentsanalysis;preponderanceeffect:G80232:A:2004211216;:2005202215:(19722),,,,,Tel:[phone]:,241000InstituteofPhysicalEducation,AnhuiNormalUniversity,Wuhu241000,China.1,,,,,,,,,,,,,,,,,,,,,,,,,22.1,PX1,X2,,XP,,,X1,X2,,XP,1,,,2.2,,1,,23,,;,,,,;,33.1,,,1:,15,12(X1;X2;X3;X4;X5;X6;X7;X8;X9;X10431©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.),,,(1),,,,SPSS12.0(2),,:1;2;3;4,:;,;,;,3,1X1X2X3X4X5X6X7X8X9X10X11X121989887121111212188832322233337778872224934999111111539899955922262128882683337444777878222879677732211192239897871111012178721121211447774221111256588878711113767888867111144347776762221544399946111121234X1-0.5450.671-0.3700.256X2-0.2910.8710.252-0.231X3-0.2140.9470.1400.041X4-0.0460.1220.0690.694X5-0.2380.0090.1900.616X60.0970.0110.0560.639X70.8300.316-0.311-0.284X80.9050.210-0.2330.116X90.8940.2780.2690.150X100.423-0.4480.5720.115X110.509-0.2540.5080.244X120.423-0.4480.5720.1153.23.2.1,,,,2:1,,,,,,,2,,3,,3.2.2,,X1,X2,X1,10000350000,X2()/(),0.010.60,,,14,,,,,4.1,,,,,3:1,2,,SPSS12.0(3),,:1;2;3;42,31234X1-0.4330.011-0.2290.706X2-0.169-0.014-0.0030.916X3-0.1400.0610.0890.968X4-0.1150.9790.0240.079X5-0.0180.936-0.2340.064X6-0.0900.9690.129-0.077X7-0.120-0.1830.949-0.024X80.1130.0670.936-0.092X90.4930.0690.8310.102X100.939-0.1220.041-0.304X110.932-0.0490.197-0.153X120.939-0.1220.041-0.304531:©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.:;,;,;(,3)4.2.2,,;,,,;,,,,,,,,,,3,3,:2,1511,,,21,,,,,,6,,,,,,,,,,,,,,,,:[1]RICHARDAJOHNSON..[M].:,2001.[2].[M].:,1998.2522261.[3].[M].:,2001.2502269.[4].[M].:,1999.[5].[J].,2003,23(4):48251.[6],.[J].,1999,19(3):89291.[7].[J].,1994,21(1):528.[8].[J].,1994,10(11):4912492.(133)411,,21,,5,,P0.001,f,P0.05,,,,,,31(rr0.001(2286-1)=0.104,P0.001),:[1].[M].:,1988.5622575.[2].[M].:,2000.2502265.[3],,.[M].:,2002.1532171.[4].[M].:,1998.73275.[5],.[M].:,1986.4432452.[6]2000.2000[DB].:,2001.08.[7].[CP].:.1999.[8]MicrosoftExcel2000[CP].6312005(41)3