mY} MIXPDTACLUSPAC-MIXTURE-MODELCLUSTERINGOF CASEShVARYINGCOVARIANCEMATRICESAUTOMATICSETTINGOFINITIALPARAMETERESTIMATES Copyright(C)StanleyL.ScloveDevelopedandprogrammedby:8\0Prof.StanleyL.Sclove, Ph.D.Phone (312)996-2681H0.Information&DecisionSciences Dept.M/C2940CollegeofBusinessAdministrationq0UniversityofIllinoisatChicago0Box 4348,Chicago,IL60680-4348&ProgramVersion:2.516-Dec-890(VM/CMS)+ ................................................................................0Q){PROBLEM TITLEIS/y݌DATAFROMCH.16OF AFIFI& CLARK(1984)_-12/19/1989AT1:27:57`NUMBEROFVARIABLES............/2'NUMBEROFOBSERVATIONS(SAMPLESIZE),N../5Yd}MINIMUMFOREACHVARIABLE:h1.01.0hmMAXIMUMFOREACHVARIABLE:q 8.07.0u FIRSTFOURDATAPOINTSx8 -------------------\H1.01.0CASE011.02.0CASE02q3.06.0CASE035.07.0CASE04ĝC&NUMBEROFCLUSTERSTOREPORT........1TO5GK0STATISTICSFOR WHOLE(UNCLUSTERED)SAMPLE:OQ{MEANVECTOR:3.604.20ySCOVARIANCEMATRIX:W- n7.040e4.080 n4.080e5.36026 MINUS2LOGLIKELIHOOD=u43.6NUMBEROFPARAMETERS=J5Y 0AIC=u53.6}SCHWARZCRITERION=u51.7  h ................................................................................  K=2CLUSTERS8NUMBEROFPARAMETERS=B11\HINITIAL MEANSq &MEANVECTORFORCLUSTER1:1.01.0<|0QMEANVECTORFORCLUSTER2:{3.06.0$y^ ITERATION1- MINUS2LOGLIKELIHOOD=u65.4, 0AIC=u87.4?SCHWARZCRITERION=u83.1:YPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:=}bCASE011.0000.000fCASE020.9990.001hCASE030.0001.000CASE040.0001.000kCASE050.0010.999o  CLUSTERING:~8v\ CASESANDLABELS:--zH[CASE01:1CASE02:1CASE03:2CASE04:2CASE05:2qNUMBERSINCLUSTERS:23]& ITERATION2AE MINUS2LOGLIKELIHOOD=u23.5I 0AIC=u45.50SCHWARZCRITERION=u41.2}QM{QyPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:\CASE011.0000.000U-CASE021.0000.000YCASE030.0001.000CASE040.0001.0000CASE050.0001.00047Y} CLUSTERING: CASESANDLABELS:--h CASE01:1CASE02:1CASE03:2CASE04:2CASE05:2 MIXINGPROBABILITIES:0.400.60MEANVECTORFORCLUSTER1: e1.000e1.5008MEANVECTORFORCLUSTER2:\ e5.333e6.000HqCOMMONCOVARIANCEMATRIX(MLE): n1.520-0.360& f-0.360e0.280CASELABELDATA0(QCASE01:1e1.000e1.000{CASE02:1e1.000e2.000yCASE03:2e3.000e6.000CASE04:2e5.000e7.000)CASE05:2e8.000e5.000/-ݫCONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION2._CLUSTER1YCASE01}CASE02@CLUSTER2CASE03dhCASE04hCASE05 ................................................................................mq8\K=3CLUSTERStHxNUMBEROFPARAMETERS=B17qINITIAL MEANS&CMEANVECTORFORCLUSTER1:F01.01.0Q{KyOMEANVECTORFORCLUSTER2:1.02.0-SWMEANVECTORFORCLUSTER3:3.06.01Y5} ITERATION19 MINUS2LOGLIKELIHOOD=u67.4h 0AIC=n101.4 SCHWARZCRITERION=u94.8 POSTERIOR PROBSOFCLUSTERMEMBERSHIP: 8CASE010.5160.4840.000\CASE020.2450.7550.000HCASE030.0000.0010.999CASE040.0000.0001.000qCASE050.0010.0020.997& CLUSTERING: CASESANDLABELS:-- 0CASE01:1CASE02:2CASE03:3CASE04:3CASE05:3Q g.{NUMBERSINCLUSTERS:113|y ITERATION2$- MINUS2LOGLIKELIHOOD=u26.5^ 0AIC=u60.5SCHWARZCRITERION=u53.8,>YPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:}CASE010.6330.3670.000:CASE020.3250.6750.000=hCASE030.0000.0001.000bCASE040.0000.0001.000fCASE050.0000.0001.000 k CLUSTERING:n8r\ CASESANDLABELS:--H~CASE01:1CASE02:2CASE03:3CASE04:3CASE05:3vqz MIXINGPROBABILITIES:0.190.210.60[MEANVECTORFORCLUSTER1:& e1.000e1.340MEANVECTORFORCLUSTER2: e1.000e1.647]MEANVECTORFORCLUSTER3:{0 e5.333e6.000DQH{yCOMMONCOVARIANCEMATRIX(MLE):}M n1.520-0.360Q- f-0.360e0.258\UCASELABELDATAYYCASE01:1e1.000e1.000}CASE02:2e1.000e2.0003CASE03:3e3.000e6.0007CASE04:3e5.000e7.000hCASE05:3e8.000e5.000CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION2.  CLUSTER18CASE01\CLUSTER2HCASE02CLUSTER3qCASE03CASE04CASE05& ................................................................................0QK=4CLUSTERS{yNUMBEROFPARAMETERS=B23(INITIAL MEANS-)/MEANVECTORFORCLUSTER1:Y1.01.0%}׼hMEANVECTORFORCLUSTER2:@1.02.0d hMEANVECTORFORCLUSTER3:83.06.0l\pHqMEANVECTORFORCLUSTER4:t5.07.0x& ITERATION1 MINUS2LOGLIKELIHOOD=u51.3 0AIC=u97.30SCHWARZCRITERION=u88.3QB{FyPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:ˌCASE010.4670.5320.0000.000K-CASE020.2110.7890.0000.000OCASE030.0000.0000.9400.060CASE040.0000.0000.2140.786CASE050.0000.0000.0010.999SVYZ} CLUSTERING:1 CASESANDLABELS:--5h9CASE01:2CASE02:2CASE03:3CASE04:4CASE05:4  NUMBERSINCLUSTERS:0212   ITERATION2 8 \ MINUS2LOGLIKELIHOOD=5.6 H 0AIC=u51.6 SCHWARZCRITERION=u42.6 q  POSTERIOR PROBSOFCLUSTERMEMBERSHIP: & CASE010.8190.1810.0000.000 CASE020.5560.4440.0000.000 CASE030.0000.0001.0000.000 0CASE040.0000.0000.4540.546 QCASE050.0000.0000.0001.000 { yJFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED. . |- DET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDET  $ ^PREC.MX.OFCLUSTER1HASBEENSETTOPOOLEDPREC.MX. Y }JFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED. > h DET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDET : = bPREC.MX.OFCLUSTER2HASBEENSETTOPOOLEDPREC.MX. fPREC.MX.OFCLUSTER3HASBEENSETTOPOOLEDPREC.MX. i8 \ jH CLUSTERING: n rq CASESANDLABELS:-- ~CASE01:1CASE02:1CASE03:3CASE04:4CASE05:4 v& zNUMBERSINCLUSTERS:2012 [  ITERATION3 0 Q MINUS2LOGLIKELIHOOD=3.6 { 0AIC=u49.6 {ySCHWARZCRITERION=u40.6 D H -POSTERIOR PROBSOFCLUSTERMEMBERSHIP: } MCASE010.9320.0680.0000.000 QCASE020.3400.6600.0000.000 CASE030.0000.0001.0000.000 YCASE040.0000.0000.0001.000 T}CASE050.0000.0000.0001.000 XPREC.MX.OFCLUSTER3HASBEENSETTOPOOLEDPREC.MX. h 3 CLUSTERING: 7  CASESANDLABELS:-- CASE01:1CASE02:2CASE03:3CASE04:4CASE05:48\NUMBERSINCLUSTERS:1112H ITERATION4q MINUS2LOGLIKELIHOOD=f-307.40AIC=f-261.4&SCHWARZCRITERION=f-270.4POSTERIOR PROBSOFCLUSTERMEMBERSHIP:0QCASE011.0000.0000.0000.000{CASE020.9990.0010.0000.000yCASE030.0000.0001.0000.000 ŰCASE040.0000.0000.0001.000CASE050.0000.0000.0001.000-(JFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.*YDET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDET-}PREC.MX.OFCLUSTER1HASBEENSETTOPOOLEDPREC.MX.%hJFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED. @DET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDETc8g\HPREC.MX.OFCLUSTER2HASBEENSETTOPOOLEDPREC.MX.ŵlqJFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.p&tDET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDETx0PREC.MX.OFCLUSTER3HASBEENSETTOPOOLEDPREC.MX.Q{JFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.y،BF-DET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDET˫KPREC.MX.OFCLUSTER4HASBEENSETTOPOOLEDPREC.MX.ORY} CLUSTERING:V CASESANDLABELS:--ZhCASE01:1CASE02:1CASE03:3CASE04:4CASE05:415 NUMBERSINCLUSTERS:20129 ITERATION58\ MINUS2LOGLIKELIHOOD=u32.7H 0AIC=u78.7 SCHWARZCRITERION=u69.7qPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:&CASE011.0000.0000.0000.000CASE020.9910.0090.0000.000CASE030.0000.0001.0000.0000CASE040.0000.0000.0001.000QCASE050.0000.0000.0001.000{yJFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.-DET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDET.|PREC.MX.OFCLUSTER1HASBEENSETTOPOOLEDPREC.MX.Y!}JFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.;hDET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDET> PREC.MX.OFCLUSTER2HASBEENSETTOPOOLEDPREC.MX.:'8JFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.a\eHiqDET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDETjnr&PREC.MX.OFCLUSTER4HASBEENSETTOPOOLEDPREC.MX.~v CLUSTERING:y0Q CASESANDLABELS:--{yCASE01:1CASE02:1CASE03:3CASE04:4CASE05:4MIXINGPROBABILITIES:0.400.000.200.40{-MEANVECTORFORCLUSTER1:D e1.000e1.498HMEANVECTORFORCLUSTER2: e1.000e2.000}MEANVECTORFORCLUSTER3:LY e3.000e6.000P}MEANVECTORFORCLUSTER4: e6.500e6.000ThXCOMMONCOVARIANCEMATRIX(MLE): n0.360-0.2403 f-0.240e0.20078\CASELABELDATAHCASE01:1e1.000e1.000qCASE02:1e1.000e2.000CASE03:3e3.000e6.000CASE04:4e5.000e7.000&CASE05:4e8.000e5.000CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION5. 0QCLUSTER1{CASE01yCASE02CLUSTER2CLUSTER3-CASE03CLUSTER4CASE04CASE05(&Y ................................................................................}*-hK=5CLUSTERSNUMBEROFPARAMETERS=B29% INITIAL MEANS8#\"HcMEANVECTORFORCLUSTER1:gq1.01.0ŝl&pMEANVECTORFORCLUSTER2:1.02.0s0wQ{MEANVECTORFORCLUSTER3:y3.06.0-ثMEANVECTORFORCLUSTER4:B5.07.0FYJ}MEANVECTORFORCLUSTER5:N8.05.0Rh ITERATION1V MINUS2LOGLIKELIHOOD=u31.9Z 0AIC=u89.9SCHWARZCRITERION=u78.61488\POSTERIOR PROBSOFCLUSTERMEMBERSHIP:H CASE010.4420.5580.0000.0000.000 q CASE020.1940.8060.0000.0000.000 CASE030.0000.0000.9020.0980.000 CASE040.0000.0000.1390.8610.000& CASE050.0000.0000.0000.0001.000 CLUSTERING:0Q CASESANDLABELS:--{yCASE01:2CASE02:2CASE03:3CASE04:4CASE05:5NUMBERSINCLUSTERS:02111- ITERATION2 MINUS2LOGLIKELIHOOD=n-30.1 0AIC=u27.9YSCHWARZCRITERION=u16.6+}POSTERIOR PROBSOFCLUSTERMEMBERSHIP:!h; CASE010.8850.1150.0000.0000.000ߨ CASE020.6780.3220.0000.0000.000 CASE030.0000.0000.9750.0250.000 CASE040.0000.0000.0200.9800.000> CASE050.0000.0000.0000.0001.0008\JFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.`H'aqeDET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDETi&jPREC.MX.OFCLUSTER1HASBEENSETTOPOOLEDPREC.MX.nrJFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.0Qu{yyDET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDETڌ-PREC.MX.OFCLUSTER2HASBEENSETTOPOOLEDPREC.MX.PREC.MX.OFCLUSTER3HASBEENSETTOPOOLEDPREC.MX.PREC.MX.OFCLUSTER4HASBEENSETTOPOOLEDPREC.MX.{DJFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.GY}LDET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDETPhPREC.MX.OFCLUSTER5HASBEENSETTOPOOLEDPREC.MX.T X CLUSTERING:82\ CASESANDLABELS:--6HCASE01:1CASE02:1CASE03:3CASE04:4CASE05:5qNUMBERSINCLUSTERS:20111& ITERATION3 MINUS2LOGLIKELIHOOD=2.8 0AIC=u60.80SCHWARZCRITERION=u49.5Q{ yPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: CASE011.0000.0000.0000.0000.000- CASE020.0250.9750.0000.0000.000 CASE030.0000.0001.0000.0000.000 CASE040.0000.0000.0001.0000.000 CASE050.0000.0000.0000.0001.000YJFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.}<&hDET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDET*- JFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.,8?\HDET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDETֵ#q"PREC.MX.OFCLUSTER1HASBEENSETTOPOOLEDPREC.MX.cg&JFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.lo0DET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDETQ{syPREC.MX.OFCLUSTER2HASBEENSETTOPOOLEDPREC.MX.wJFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.-DET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDETAYE}PREC.MX.OFCLUSTER3HASBEENSETTOPOOLEDPREC.MX.IJFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.JhNR DET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDETVY8PREC.MX.OFCLUSTER4HASBEENSETTOPOOLEDPREC.MX.\0HJFLG=1.IFJFLG=0,COMPUTATIONOFDETWENT WELL;OTHERWISE, THEREWASTROUBLEORMATRIXWASILL-CONDITIONED.48q DET=0.00000E+00IDET=0ACTUALDET.=DET*10**IDET &  PREC.MX.OFCLUSTER5HASBEENSETTOPOOLEDPREC.MX.  0 Q CLUSTERING: { y CASESANDLABELS:--  CASE01:1CASE02:2CASE03:3CASE04:4CASE05:5 - NUMBERSINCLUSTERS:11111   ITERATION4 0AFB209I VFNTH : PROGRAM INTERRUPT - FLOATING-POINT DIVIDE EXCEPTION ' YnVFNTH:PSW078D000F8022084C,REGISTERCONTAINS40FFEBFC949A7D550000000000000000 }nVFNTH:LASTEXECUTEDFORTRANSTATEMENTINPROGRAMMAINATISN263(OFFSET10983C). 0TRACEBACK OF CALLING ROUTINES; MODULE ENTRY ADDRESS = 117010. + ----------------------------------------------------------------------------- +hMAIN(117010)CALLEDBYOPERATINGSYSTEM. + ----------------------------------------------------------------------------- 0STANDARD CORRECTIVE ACTION TAKEN. EXECUTION CONTINUING. ! 0AFB209I VFNTH : PROGRAM INTERRUPT - FLOATING-POINT DIVIDE EXCEPTION ;nVFNTH:PSW078D000F8022084C,REGISTERCONTAINS409B507A7B70E1060000000000000000 nVFNTH:LASTEXECUTEDFORTRANSTATEMENTINPROGRAMMAINATISN263(OFFSET10983C). 80TRACEBACK OF CALLING ROUTINES; MODULE ENTRY ADDRESS = 117010. \+ ----------------------------------------------------------------------------- _HMAIN(117010)CALLEDBYOPERATINGSYSTEM. + ----------------------------------------------------------------------------- q0STANDARD CORRECTIVE ACTION TAKEN. EXECUTION CONTINUING. `0AFB209I VFNTH : PROGRAM INTERRUPT - FLOATING-POINT DIVIDE EXCEPTION 'nVFNTH:PSW078D000F8022084C,REGISTERCONTAINS3B876281E934B7440000000000000000 a&nVFNTH:LASTEXECUTEDFORTRANSTATEMENTINPROGRAMMAINATISN263(OFFSET10983C). e0TRACEBACK OF CALLING ROUTINES; MODULE ENTRY ADDRESS = 117010. i+ ----------------------------------------------------------------------------- MAIN(117010)CALLEDBYOPERATINGSYSTEM. 0+ ----------------------------------------------------------------------------- mQ0STANDARD CORRECTIVE ACTION TAKEN. EXECUTION CONTINUING. q{0AFB209I VFNTH : PROGRAM INTERRUPT - FLOATING-POINT DIVIDE EXCEPTION ynVFNTH:PSW078D000F8022084C,REGISTERCONTAINS3759E14A9C01F9060000000000000000 ȌnVFNTH:LASTEXECUTEDFORTRANSTATEMENTINPROGRAMMAINATISN263(OFFSET10983C). u0TRACEBACK OF CALLING ROUTINES; MODULE ENTRY ADDRESS = 117010. y-+ ----------------------------------------------------------------------------- ګMAIN(117010)CALLEDBYOPERATINGSYSTEM. + ----------------------------------------------------------------------------- 0STANDARD CORRECTIVE ACTION TAKEN. EXECUTION CONTINUING. 0AFB209I VFNTH : PROGRAM INTERRUPT - FLOATING-POINT DIVIDE EXCEPTION YnVFNTH:PSW078D000F8022084C,REGISTERCONTAINS352297D378DAF8830000000000000000 }nVFNTH:LASTEXECUTEDFORTRANSTATEMENTINPROGRAMMAINATISN263(OFFSET10983C). C0TRACEBACK OF CALLING ROUTINES; MODULE ENTRY ADDRESS = 117010. G+ ----------------------------------------------------------------------------- hMAIN(117010)CALLEDBYOPERATINGSYSTEM. + ----------------------------------------------------------------------------- L0STANDARD CORRECTIVE ACTION TAKEN. EXECUTION CONTINUING. P  MINUS2LOGLIKELIHOOD=-1746.7 0AIC=-1688.7 S8SCHWARZCRITERION=-1700.1 W\ H POSTERIOR PROBSOFCLUSTERMEMBERSHIP: 2q 6 CASE010.2050.1950.2000.2000.200 CASE020.2050.1950.2000.2000.200 & CASE030.2050.1950.2000.2000.200  CASE040.2050.1950.2000.2000.200  CASE050.2050.1950.2000.2000.200  0 Q CLUSTERING: { y CASESANDLABELS:--  CASE01:1CASE02:1CASE03:1CASE04:1CASE05:1 - NUMBERSINCLUSTERS:50000   ITERATION5  Y MINUS2LOGLIKELIHOOD=u43.6 } 0AIC=n101.6 SCHWARZCRITERION=u90.3 h <POSTERIOR PROBSOFCLUSTERMEMBERSHIP: & CASE010.2050.1950.2000.2000.200  CASE020.2050.1950.2000.2000.200 * CASE030.2050.1950.2000.2000.200 ^8 CASE040.2050.1950.2000.2000.200 \ CASE050.2050.1950.2000.2000.200 H , ?q CLUSTERING: ֝ CASESANDLABELS:-- #& "CASE01:1CASE02:1CASE03:1CASE04:1CASE05:1 c gMIXINGPROBABILITIES:0.210.190.200.200.20 g 0MEANVECTORFORCLUSTER1: Q e3.600e4.200 k{MEANVECTORFORCLUSTER2: oy e3.600e4.200 MEANVECTORFORCLUSTER3: e3.600e4.200 s-MEANVECTORFORCLUSTER4: w e3.600e4.200 MEANVECTORFORCLUSTER5:  e3.600e4.200 Y }COMMONCOVARIANCEMATRIX(MLE): ] A n1.408e0.816 Eh n0.816e1.072 I J CASELABELDATA N RCASE01:1e1.000e1.000 8CASE02:1e1.000e2.000 \\CASE03:1e3.000e6.000 UHCASE04:1e5.000e7.000 YCASE05:1e8.000e5.000 q 0CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION5. 4 8& CLUSTER1 CASE01 CASE02 0CASE03 QCASE04 {CASE05 yCLUSTER2 CLUSTER3 CLUSTER4 -CLUSTER5   ................................................................................   Y } DATAFROMCH.16OF AFIFI& CLARK(1984)  MODELSELECTIONCRITERIA h 00MODEL-SELECTIONCRITERIA NUMBERMINUS2NUMBER(PPH=POST.PROB.OFMODEL): + OFeTIMESOFAKAIKEpSCHWARZ CLUSTERS,LOGOFPARAM------------------------- KLIKELIHOOD ETERSVALUEPPHVALUEPPH 8------------------- ------------------------- )\ /H ݵ1u43.6553.60.1351.70.00 q2u23.51145.50.8741.20.97 _3u26.51760.50.0053.80.03 4u32.72378.70.0069.70.00 &5u43.629101.60.0090.30.00 ` ' ................................................................................ a d0 hQ {DATAFROMCH.16OF AFIFI& CLARK(1984) y mCONDITIONCODEFORTHISRUN: q - ȫPROGRAM ENDEDNORMALLY. u y ................................................................................ Y } MIXPCMACLUSPAC-MIXTURE-MODELCLUSTERINGOF CASES h C TIMEBEGAN: G12/19/1989AT1:27:57  LTIMEFINISHED: O812/19/1989AT1:27:57 \ H0 MESSAGE SUMMARY: MESSAGE NUMBER - COUNT S00C20925