因子分析法在学生成绩评定中的应用

:1671-1742(2006)-0141-08邱运君*,潘莉(成都信息工程学院统计系,四川成都610103):,SPSS,,,,,,:学生成绩评定;因子分析法;教育科学;课程设置:G424175:A*200111,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,2211,,:(1):,21200612JOURNALOFCHENGDUUNIVERSITYOFINFORMATIONTECHNOLOGYVol.21Suppl.Dec.200620%30%,50%30%70%,(2):,4(3)::(*)/,,(4):,80,:,,,,,,2-4,1-3,,2,,3,,4,,3-52-41-310-155-103-51-3,8532,3-5:,,,,,,2-4,()345,,,2,1,25,10,15,20,,,21221211因子分析的模型(),,,:X1=a11F1+a12F2+,+a1mFm+u1X2=a21F1+a22F2+,+a2mFm+u2,Xp=ap1F1+ap2F2+,+apmFm+up:X=AF+u(p*1)(p*m)(m*1)(p*1):¹m[p;ºCov(F,u)=0,Fu;»D(F)=Im,F1,,,Fm1D(U)=diag(712,,,7p2),71,,,7p,X=(X1,,,Xp)pp,F=(F1,,,Fm),FX,,m;aijij,X1m,aijXiFj,A142成都信息工程学院学报第21卷;uX,u,u21212数据来源2003143,136,6,6:(1)2003,/0,,(2),,,(3),,,,,21213步骤与方法SPSS,:(1),,,5:1,100136,14,,,,KMOBartlett.s,11KMOBartlett.sKMO,,0-1KMO1,KMO=01765,Bartlett.s,,,,,1,,,3,,,,(2):¹1ComponenInitialEigenvaluesExtractionSumsofSquaredLoadingsRotationSumsofSquaredLoadingsTotal%ofVariance%Cumulative%Total%ofVariance%Cumulative%Total%ofVariance%Cumulative%141751331938331938417513319383116422160022160021156711119345113211567111193451132212551611053817053113089134054147211308913405414721130491312481017411134811026215741113481102621574112528194056195750192761622691196019276162269119611203815906515476019076147975167501907614797516751106671612731159701701510088016830170151008801683110537152480168380166641758851441901552319428913841001472313689217511101368216299513801201300211459715251301192113729818961401154111041001000:143增刊邱运君等:因子分析法在学生成绩评定中的应用1,:1141751,331938%;11567,111193%;11308,9134%;11134,81102%4621574%280%-85%,4,62.574%,80%,31,,7,80%,801683%º2,,,7»24InitialExtraction111000017991100001713111000017461100001288110000169211000015611110000156711000016502110000185221100001732C11000015911100001594211000016831100001291:37InitialExtraction111000018131100001845111000018311100001921110000174311000019581110000186311000017112110000187321100001793C11000016551100001671211000017291100001889:,0-1,,24,37270%,365%,C3415%3219%,7¼4Component123456710154-01498-0147501563101754016900171501625-015711015640149401509144成都信息工程学院学报第21卷01746201709-01490201798C0172801721201658-01615:74,,,01454,1,,,½5Component12345671018850190710189101911018440195010190001501201875201829C016120150420164701914:;:65,,12,3,,¾6Component12345671-0115901525-01002-01132-01060-0103301038-01031-0108501050-0101001813-01068-01023101399-0111101008-01204-01029-0110401009-01073-010120107001007-01034-010350191201372-0117001001-01125-01008-0102401028-01058-01051-01059-01094-0109301995010031-01026-0102501746-0120501138-01055011670105701147010010111101348-01145-011022-0109801480-01004-01058-011980101501059201325-01021-01006-01039-01044-01039-01193C01163-01086-0117301043-0108601289011970104801181011290114001220-01056-012772-01024010680145101299-01175-01049-01164-01138-01089-010830187101012-016301064:;:145增刊邱运君等:因子分析法在学生成绩评定中的应用¿7Component1234567111000010000100001000010000100001000201000110000100001000010000100001000301000010001100001000010000100001000401000010000100011000010000100001000501000010000100001000110000100001000601000010000100001000010001100001000701000010000100001000010000100011000:;:7,,07(3),,,144,881412C3()()45678:,,C,,4,4,C,,,,,,4,4,,,,,(),(),2,,,,,,,,,146成都信息工程学院学报第21卷,,,,,,,,/0/0,213,,,44,,,,,,;,,,,,,,,,,,,,,,4,,,,))),,,4))),,:;,8,57114%,2,14129%,,,,3311(1)(2),,/0,,,¹/0/0,,,,,º,5%,,,,»,():,,147增刊邱运君等:因子分析法在学生成绩评定中的应用,,,,,,,,,312(1),5,,,(2),,,,,:[1]于秀林,任雪松.多元统计分析[M].北京:中国统计出版社,2002:171-198.[2]张文彤.SPSS11统计分析教程[M].北京:北京希望电子出版社,2002:190-210.[3]王学民.应用多元分析(第二版)[M].上海:上海财经大学出版社,2002:262-297.[4]高凌飚.黄韶斌.谈高中模块课程的教学[J].教育科学研究,2005,(1):54-57.Applicationoffactoranalysistostudents.performanceratingQIUYun-jun,PANLi(Dept.ofStatistics,CUIT,Chengdu610103,China)Abstract:Somecommonlyusedmethodsofstudents.performanceratingareanalyzedthroughexamplesandtheap-proachofthefactoranalysisisintroducedbriefly.UsingthefactoranalysisapproachinSPSSandcombiningtheedu-cationscienceandthemathematicalstatisticsthefactoranalysisismadeinsomeuniversitydepartmentinordertofindthekeyfactorsandexplainit,drawtheconclusion,evaluatestudents.achievementsystemandexpoundtheimpor-tanceofevaluatingstudents.achievementinanal-lroundway.Keywords:students.performancerating;approachoffactoranalysis;educationscience;courseinstallation148成都信息工程学院学报第21卷