多元对应分析在抽样调查分析中的应用

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:10021566(2001)04001708X,,(,310028):,,:;;;:O212;C811:A,,,1:11.1.24.,,,,,mx1,,xm,pj,p=mj=1pjn,xjlnjl,xijl=1,ixjl;xijl=0xjlxjlxj=[xjl,,xjpj]xj(2),X=71X:1999-11-3[xl,,xm]:X?,,,,(A)xijl,,:X=(xij)nmi=1,,n(),j=1,,m()xixjxX,xllxljxlmxl.xilxijximxi.xnlxnjxnmxn.x.lx.jx.mx..,xi.=mj=1xij,x.j=ni=1xij,x..=ijxijF=X/x..=(fij),fij=xij/x..,0fij1,ijfij=1XF:fllfljflmfl.filfijfimfi.fnlfnjfnmfn.f.lf.jf.m1,fiJ=filfi.,,fijfi.,,fimfi.=xilxi.,,xijxi.,,ximxi.i=1,,ni,1j:fjI=(fljf.j,,fijf.j,,fnjf.j)=(xljx.j,,xijx.j,,xnjx.j)j=1,,m.,,,2,H0:,H1:n,H08120420012=nni=1mj=1(fij-fi.f.j)2fi.f.jd2((n-1)(m-1))H0,:1.N(I)={fiJ|i=1,,n}=filfi.,,fimfi.|i=1,,nfijfi.fi.,fijfi.ni=1fijfi.3fi.=ni=1fij=f.jN(I)g:g=ni=lfi.fiJ=(f.1f.2f.m)=fJ,fJ{f1.,f2.,,fn.}N(I)D2(.)=mj=1fjf.-fjf.2,:D2(.)=mj=1fjf.-fjf.2/f.j=mj=1fjf.jf.-fjf.jf.2fi1f.1fi.,fi2f.2fi.,,fimf.mfi.i=1,,n,jfijf.jfi.ni=1fijf.jfi.3fi.=1f.jni=1fij=f.j,ijij=n=1ZiZjZi=fi-f.if.f.if.=xi-x.ix./x..x.ix.(=1,,n,i=1,,m)Z=(Zij),A=(ij)A=ZZ,ZZ2.N(J)={fjI|j=1,,m}=f1jf.j,,fnjf.j|j=1,,m,B:B=ZZ,A=ZZB=ZZ,:12r,0rmin{m,n},u1,,ur1,,rA,Auj=ZZuj=jujZ,ZZ(Zuj)=j(Zuj),ZujjB,,,X=(xij),i=1,,n,j=1,,m:Zij=xij-xi.x.j/x..xi.x.j=fij-fi.f.jfi.f.jZ=(Zij)nm,A=ZZB=ZZ,,i,,(B)X,,,xi.=mj=1pjl=1xijl=m,xjl=ni=1xijl=njl,ni=1mj=1pjl=1xijl=nm91:ifiJ=(,fijl/fi,)=(,xijl/m,)xjlfjI=(,fijl/f.jl,)=(,xijl/njl,)fI=(,fi,)=(,1/n,)fJ=(,njl/nm,),(A),,,i,,,,,,,:1.7.13.19.25.2.8.14.20.26.3.9.15.21.27.4.10.16.22.28.5.11.17.23.6.12.18.24.25282(,)2X1X24Y1Y241234515161:::255210010000010010001000010000000110010100,SAS,,,CORRESP,30220420013NO(%)(%)101491781212912129333333333333333333333201257066143181723333333333330116170410422176333333340110879217225148333334,00000()()454(CTR)(cos2)1231231231-0.10472-0.797160.531480.0000090.0009700.0006850.0060940.353140.1569772-0.194790.465100.178290.0000300.0003300.0000770.0064090.036530.0053693-0.09426-0.919550.693780.0000070.0012900.0011680.0053330.005330.28889941.29076-0.663110.501760.0012820.0002990.1600790.2059480.2566700.15529551.26782-0.443280.247990.0013290.0013710.0256480.1600790.0543550.218298::::::::::5(CTR)123123123X13.472160.067530.0074000.0260470.0000190.0000110.0001190.0001100.156977:-0.279471.898210.0151500.0001120.0098530.0093660.0618270.0400280.005369:-0.133541.008980.0116100.0001460.0159250.0002610.1087430.098920.288899:-0.130840.165260.0054310.0006000.0018300.0084770.0192540.010780.155295:-0.03716-0.445570.0061360.0000540.0144050.0039650.1608880.078960.218298:::::::::,,,6,,126:::93.2090.3790.3790.3789.8088.6788.3938.9338.5733.2134.8427.6235.3736.6728.3329.6027.8224.8213.2712.6917.2412.87:64.59%:35.41%70708.3%:::38.9338.5733.2131.7961.0060.2459.2919.1715.4815.2412.3810.3632.6322.5020.7021.2648.2545.3041.1946.9447.2752.2452.0050.291.42%2.25.2%3.:41%:59%1.2.,30%1.,47.4%2.,(30%):(1319%),,(1840),(3219%),,,222042001:65.2764.9060.4557.6655.9055.8055.5254.7853.3953.3052.2748.5451.7952.1447.9350.4247.6948.8047.1349.021.,64.4%:35.6%2.50.5%3.32.4%1.,2.30239,1846.2%1822947.3%3023936.9%3.7030%1.25%246.4%2.102,(40%):::43.1239.4538.5333.9433.9433.9425.6922.9422.0222.023.782.993.683.293.624.172.232.392.361.971.34.3%:65.7%2.1.,()2.402491.13.6%2.10%1.2.::33.5333.5326.5943.9341.0439.8845.095.794.033.667.185.825.507.67:38.7:61.31810.5%7013.9%25%1.2.50%32(4212%),,3045%,,()(413%),,,,,(618%),,,,[][1],.[M].:,1997.[2].[M].:,1989.[3].SASSAS/STAS[M].:,1998.TheApplicationofMultidimensionalCorrespondenceAnalysisonSamplingInvestigationPapersCHENShang-zhu,ZHANGYi,XUMin(ZheJiangUniversity,Hangzhou310028,China)Abstract:Thisthemefocusesonanalyzingsamplinginvestigationpaperswiththeoreticalstatisticmethods,suchasmultidimensionalcorrespondenceanalysisandclusteranalysis,thenweconcludethedifferentcharactersandimparitiesofeachtypeofreaders.Keywords:samplinginvestigation;correspondenceanalysis;contingencytable;clusteranalysis41[2]Sprott,D.A.MaximumLikelihoodAppliedtoaCaptureRecaptureModelJ.Biometrics,1981,(37):371-375.[3]McDonald,J.F.etal.Test,PointEstimationsandConfidenceSetsforaCapture2RecaptureModelJ.JASA,1983,(78):9132919.[4]ChiSongWangetal.ConfidenceIntervalsforaPopulationSizeBasedonaCapture2RecaptureModelJ.CommunitionsinStatistics2TheoryandMethodsJ,1987,16(1):79291.[5],.M.:,1991.[6]Darroch,J.N.TheMultipleRecaptureCensus,I.EstimationofaClosedPopulationJ.Biomatika,1958,45:3432359.[7]Gazey,W.J.,Staley,M.J.PopulationEstimationfromMarkRecaptureExperimentsUsingaSequentialBayesAlgorithmJ.Ecology,1986,67:9412951.BayesianEstimationforaCapture2RecaptureModelQIAOShi2jun(SchoolofEconomics&Management,InnerMongoliaUniversity,Huhhot010021,China)Abstract:UsingthenoninformativepriorandJeffreysprior,BayesianestimatorsofpopulationsizeunderaCapture2RecapturemodelandamultipleCapture2Recaptureareproposed.Arealexampleisusedtoillustratethemethodsandtocomparethemwithotherestimators.Keywords:Capture2Recapturemodel;MultipleCapture2RecaptureModel;Bayesianinference;Pupulationsize422042001

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