iY} MIXPCMACLUSPAC-MIXTURE-MODELCLUSTERINGOF CASEShCOMMONCOVARIANCEMATRIXAUTOMATICSETTINGOFINITIALPARAMETERVALUES Copyright(C)StanleyL.Sclove.8Developedandprogrammedby:\H0Prof.StanleyL.Sclove, Ph.D.Phone (312)996-26810.Information&DecisionSciences Dept.M/C294q0CollegeofBusinessAdministration0UniversityofIllinoisatChicago0Box 4348,Chicago,IL60680-4348&ProgramVersion:4.416-Dec-89+0(VM/CMS)0 ................................................................................Q){/y݌PROBLEM TITLEISRESIDUALSINREGROFSFLA,ASSESSED,ANDMARKET VALUEON STYLEAND GRADE_-12/23/1989AT1:25:2`'NUMBEROFVARIABLES............/3Yd}NUMBEROFOBSERVATIONS(SAMPLESIZE),N..60hhMINIMUMFOREACHVARIABLE:mq-3.05254-20.9687-18.7935 MAXIMUMFOREACHVARIABLE:ux84.2207614.431313.7658\H FIRSTFOURDATAPOINTS ----------------------q2.13748-20.96870.0811CASE550.12748-16.7687-6.5189CASE06ĝ-1.88252-16.1687-5.9189CASE49C&-0.34254-14.5561-4.9935CASE44GNUMBEROFCLUSTERSTOREPORT........1TO9K0OQ ................................................................................{ySW-STATISTICSFOR WHOLE(UNCLUSTERED)SAMPLE:------------- ------------------------26MEANVECTOR:0.000.000.00Y}COVARIANCEMATRIX: 2.094551.316274.43719 h1.3162758.5660014.917404.4371914.9174032.29566   MINUS2LOGLIKELIHOOD=e979.3 0AIC=n997.3SCHWARZCRITERION=f1016.28\H ................................................................................qK=2CLUSTERS &NUMBEROFPARAMETERS=13<|0INITIAL MEANSQ{2.13748-20.96870.0811$y-1.7125214.4313-15.8189^ ITERATION1-,? MINUS2LOGLIKELIHOOD=2202.00AIC=f2228.0SCHWARZCRITERION=f2255.2:Y=}THEDENOMINATOROFTHEPOSTERIOR PROBSFORbCASE04IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,fHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONhSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORkCASE27IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,o HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFOR~8CASE37IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,v\HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONzHSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.[THEDENOMINATOROFTHEPOSTERIOR PROBSFORqCASE47IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.]&THEDENOMINATOROFTHEPOSTERIOR PROBSFORACASE52IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,EHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONISOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.0THEDENOMINATOROFTHEPOSTERIOR PROBSFOR}QCASE02IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,M{HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONQySOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFOR\CASE50IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,U-HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONYSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFOR k0CASE12IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,4HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION7YSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.}THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE22IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONhSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE08IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFOR8CASE15IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,\HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONHSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORqCASE28IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.&THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE43IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.0THEDENOMINATOROFTHEPOSTERIOR PROBSFOR(QCASE23IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,{HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONySOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFOR)CASE05IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,/-HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONݫSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFOR_CASE45IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONYSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.}THEDENOMINATOROFTHEPOSTERIOR PROBSFOR@CASE42IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONdhSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.hTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE20IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONmSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.qTHEDENOMINATOROFTHEPOSTERIOR PROBSFOR8CASE24IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,\HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONtHSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.xTHEDENOMINATOROFTHEPOSTERIOR PROBSFORqCASE60IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.&THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE18IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONCSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.F0THEDENOMINATOROFTHEPOSTERIOR PROBSFORQCASE19IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,{HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONKySOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.OTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE10IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,-HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. űWTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE01IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION1YSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.5}THEDENOMINATOROFTHEPOSTERIOR PROBSFOR9CASE56IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONhSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE51IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. THEDENOMINATOROFTHEPOSTERIOR PROBSFOR8CASE57IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,\HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONHSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORqCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.&THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE38IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.0THEDENOMINATOROFTHEPOSTERIOR PROBSFORQCASE03IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,.{HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION|ySOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE32IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$-HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION^SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE13IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION>YSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.}THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE31IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,:HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION=hSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.bTHEDENOMINATOROFTHEPOSTERIOR PROBSFORfCASE30IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.kTHEDENOMINATOROFTHEPOSTERIOR PROBSFORn8CASE53IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,r\HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONHSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.~THEDENOMINATOROFTHEPOSTERIOR PROBSFORvqCASE33IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,zHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION[SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.&THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE29IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION]SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.{0THEDENOMINATOROFTHEPOSTERIOR PROBSFORDQCASE26IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,H{HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONySOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.}THEDENOMINATOROFTHEPOSTERIOR PROBSFORMCASE41IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,Q-HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION űSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.\THEDENOMINATOROFTHEPOSTERIOR PROBSFORUCASE39IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,YHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONYSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.}THEDENOMINATOROFTHEPOSTERIOR PROBSFOR3CASE09IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,7HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONhSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE36IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFOR8CASE21IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,\HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONHSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORqCASE34IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.&THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE35IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.0THEDENOMINATOROFTHEPOSTERIOR PROBSFORQCASE11IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,{HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONySOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.(THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE14IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,-HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.)POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:/1.000.001.000.00Y1.000.00%}1.000.00׼NUMBERSINCLUSTERS:573h@ ITERATION2d h MINUS2LOGLIKELIHOOD=e988.70AIC=f1014.78SCHWARZCRITERION=f1042.0l\pHPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:0.930.07q0.850.15t0.820.18x0.820.18&NUMBERSINCLUSTERS:3525 ITERATION30QB{ MINUS2LOGLIKELIHOOD=e988.7Fy0AIC=f1014.7ˌSCHWARZCRITERION=f1041.9K-POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:O0.900.100.830.170.790.21S0.800.20VYZ}NUMBERSINCLUSTERS:37231 ITERATION45h9 MINUS2LOGLIKELIHOOD=e988.6  0AIC=f1014.6 SCHWARZCRITERION=f1041.9  8POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: \0.870.13 H0.810.19 0.780.22 q0.780.22  NUMBERSINCLUSTERS:3921 &  ITERATION5   0 MINUS2LOGLIKELIHOOD=e988.6 Q0AIC=f1014.6 {SCHWARZCRITERION=f1041.8 y POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: .0.850.15 |-0.800.20 0.770.23 0.770.23 $ ^NUMBERSINCLUSTERS:4020 Y } ITERATION6 > h MINUS2LOGLIKELIHOOD=e988.5 0AIC=f1014.5 :SCHWARZCRITERION=f1041.7 = bPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: f0.830.17 i80.800.20 \0.780.22 jH0.770.23 n rqNUMBERSINCLUSTERS:3921 ~ ITERATION7 v& z [ MINUS2LOGLIKELIHOOD=e988.3 0AIC=f1014.3 0SCHWARZCRITERION=f1041.6 Q {POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: {y0.810.19 D0.800.20 H0.790.21 -0.770.23 } MNUMBERSINCLUSTERS:3822 Q ITERATION8 Y T} Ů X MINUS2LOGLIKELIHOOD=e988.1 0AIC=f1014.1 hSCHWARZCRITERION=f1041.4 3 7POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: 0.790.21 0.810.190.810.1980.780.22\HNUMBERSINCLUSTERS:3723q ITERATION9& MINUS2LOGLIKELIHOOD=e987.80AIC=f1013.8SCHWARZCRITERION=f1041.00POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:Q0.780.22{0.820.18y0.840.160.790.21-NUMBERSINCLUSTERS:3624( ITERATION10*Y MINUS2LOGLIKELIHOOD=e987.4-}0AIC=f1013.4SCHWARZCRITERION=f1040.6%hPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:0.770.230.840.16 0.870.13@0.810.19c8NUMBERSINCLUSTERS:3525g\H ITERATION11ŵlqp MINUS2LOGLIKELIHOOD=e986.80AIC=f1012.8&SCHWARZCRITERION=f1040.0txPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:0.760.2400.860.14Q0.900.10{0.840.16y،NUMBERSINCLUSTERS:3525BF-MIXINGPROBABILITIES:0.540.46˫MEANVECTORFORCLUSTER1:-0.34746-2.12583-1.75453MEANVECTORFORCLUSTER2:g0.409662.506452.06866KORYCOMMONCOVARIANCEMATRIX(MLE):}V1.960570.175821.88648Zh0.1758254.505855.214331.886485.2143329.0759015 CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION11.RESULTSAREPRINTEDBELOW.98\NUMBERSINCLUSTERS:3525HNUMBEROFPARAMETERS=13 SCHWARZCRITERION=f1040.0q0AIC=f1012.8&LISTOFCASES,BYCLUSTERCLUSTER10CASE55QCASE06{CASE49yCASE44CASE40CASE48-CASE58CASE59.CASE46|CASE54CASE04YCASE27!}CASE37;CASE47CASE52hCASE02CASE50>CASE12 CASE08CASE15:CASE25'8CASE05a\CASE45eHCASE42iCASE60qCASE19jCASE10nCASE01r&CASE57CASE03~CASE13vCASE16y0CASE53QCASE41{CASE17yCLUSTER2CASE22CASE28{-CASE43DCASE23HCASE20CASE24}CASE18LYCASE56P}CASE51CASE07CASE38ThCASE32XCASE31CASE30 CASE333CASE297CASE268CASE39\CASE09HCASE36CASE21qCASE34CASE35CASE11&CASE14 ................................................................................ 0Q{K=3CLUSTERSyNUMBEROFPARAMETERS=17-INITIAL MEANS2.13748-20.96870.0811(1.555791.6920-0.3342&Y-1.7125214.4313-15.8189} ITERATION1*-h MINUS2LOGLIKELIHOOD=4486.90AIC=f4520.9% SCHWARZCRITERION=f4556.5POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:81.000.000.00#\1.000.000.00"H1.000.000.00c1.000.000.00gqNUMBERSINCLUSTERS:/7512ŝl& ITERATION2p MINUS2LOGLIKELIHOOD=e977.0s00AIC=f1011.0wQSCHWARZCRITERION=f1046.6{yPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:0.990.010.000.940.060.00-0.850.150.00ث0.810.190.00BFNUMBERSINCLUSTERS:/7512Y MIXINGPROBABILITIES:0.120.850.03J}MEANVECTORFORCLUSTER1:g0.15897-14.34491-3.42133NMEANVECTORFORCLUSTER2:g0.069131.688021.12094RMEANVECTORFORCLUSTER3:-2.340626.62386-16.96146hVCOMMONCOVARIANCEMATRIX(MLE):Z 12.973631.692942.44211481.6929446.065729.372328\2.442119.3723233.19803HCONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION2.RESULTSAREPRINTEDBELOW.q &NUMBERSINCLUSTERS:/7512NUMBEROFPARAMETERS=17SCHWARZCRITERION=f1046.600AIC=f1011.0Q{LISTOFCASES,BYCLUSTERyCLUSTER1-CASE55CASE06 =CASE49CASE44CASE40YCASE48+}CASE58CLUSTER2CASE59!hCASE46;CASE54ߨCASE04 CASE27CASE37>CASE478CASE52\CASE02`HCASE50'CASE12aqCASE22eCASE08iCASE15&CASE28jCASE43nCASE23rCASE050CASE45QCASE42u{CASE20yyCASE24ڌCASE60CASE18-CASE19CASE10CASE01{CASE56DCASE51GYCASE57}CASE07CASE38LCASE03PhCASE32CASE13CASE31T CASE16XCASE30CASE538CASE332\CASE296HCASE26CASE41qCASE39CASE09CASE36&CASE21CASE34CASE35CASE110CASE14QCLUSTER3{CASE25 yCASE17 ................................................................................-K=4CLUSTERSYNUMBEROFPARAMETERS=21}<&INITIAL MEANSh2.13748-20.96870.0811*-1.72254-1.9561-1.9935- 2.107483.33131.8811-1.7125214.4313-15.8189,8 ITERATION1?\Hֵ MINUS2LOGLIKELIHOOD=3612.3#q0AIC=f3654.3"SCHWARZCRITERION=f3698.3cg&POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:1.000.000.000.001.000.000.000.00l1.000.000.000.00o01.000.000.000.00Q{NUMBERSINCLUSTERS:/718332syw ITERATION2- MINUS2LOGLIKELIHOOD=e961.50AIC=f1003.5SCHWARZCRITERION=f1047.4AYPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:E}1.000.000.000.00I1.000.000.000.001.000.000.000.00Jh1.000.000.000.00NRNUMBERSINCLUSTERS:/717342  ITERATION3VY8\ MINUS2LOGLIKELIHOOD=e958.50H0AIC=f1000.54SCHWARZCRITERION=f1044.58qPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: 1.000.000.000.00 &1.000.000.000.00 1.000.000.000.00 1.000.000.000.00  0NUMBERSINCLUSTERS:/717342 Q {MIXINGPROBABILITIES:0.120.300.540.03 yMEANVECTORFORCLUSTER1:g0.20684-15.14412-3.46527 MEANVECTORFORCLUSTER2:-0.73647-3.18650-1.51950 MEANVECTORFORCLUSTER3:g0.503694.760622.67679 -MEANVECTORFORCLUSTER4:-2.374206.50730-17.20644   COMMONCOVARIANCEMATRIX(MLE):  Y }1.406750.091470.91102 0.091479.885411.84339 0.911021.8433914.13366 +h CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION3.RESULTSAREPRINTEDBELOW. ! ; NUMBERSINCLUSTERS:/717342 8NUMBEROFPARAMETERS=21 \SCHWARZCRITERION=f1044.5 _H 0AIC=f1000.5 q `LISTOFCASES,BYCLUSTER ' a& eCLUSTER1 iCASE55 CASE06 0CASE49 mQCASE44 q{CASE40 yCASE48 ȌCASE58 uCLUSTER2 y-CASE59 ګCASE46 CASE54 CASE04 CASE27 YCASE37 }CASE47 CCASE52 GCASE02 hCASE50 CASE12 LCASE22 P CASE08 CASE15 CASE05 S8CASE45 W\CASE42 HCLUSTER3 CASE28 2qCASE43 6CASE23 CASE20 &CASE24 CASE60 CASE18 CASE19 0CASE10 QCASE01 {CASE56 yCASE51 CASE57 CASE07 -CASE38 CASE03 CASE32 CASE13 CASE31 YCASE16 }CASE30 CASE53 CASE33 hCASE29 <CASE26 &CASE41 CASE39 CASE09 *CASE36 ^8CASE21 \CASE34 HCASE35 ,CASE11 ?qCASE14 CLUSTER4 ֝CASE25 #&CASE17 " c ................................................................................ g 0 Q k{K=5CLUSTERS oy NUMBEROFPARAMETERS=25 s- wINITIAL MEANS  2.13748-20.96870.0811 -1.37254-4.35617.0065 Y1.555791.6920-0.3342 }-1.322525.4313-5.6189 ]-1.7125214.4313-15.8189 A Eh ITERATION1 I J  MINUS2LOGLIKELIHOOD=3622.0 N0AIC=f3672.0 RSCHWARZCRITERION=f3724.4 8 \\POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: UH1.000.000.000.000.00 Y1.000.000.000.000.00 q1.000.000.000.000.00 01.000.000.000.000.00 4 8&NUMBERSINCLUSTERS:/773781   ITERATION2  0 Q MINUS2LOGLIKELIHOOD=e960.4 {0AIC=f1010.4 ySCHWARZCRITERION=f1062.8  POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: -1.000.000.000.000.00 1.000.000.000.000.00 0.990.000.000.000.00 0.990.000.010.000.00  YNUMBERSINCLUSTERS:/863961 }  ITERATION3  h  MINUS2LOGLIKELIHOOD=e956.5 0AIC=f1006.5 + SCHWARZCRITERION=f1058.9  POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: 81.000.000.000.000.00 )\1.000.000.000.000.00 /H0.990.000.010.000.00 ݵ0.990.000.010.000.00 q _NUMBERSINCLUSTERS:/854232 & ITERATION4 ` ' a MINUS2LOGLIKELIHOOD=e953.5 d00AIC=f1003.5 hQSCHWARZCRITERION=f1055.8 { yPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: m1.000.000.000.000.00 q1.000.000.000.000.00 -1.000.000.000.000.00 ȫ0.990.000.010.000.00 u yNUMBERSINCLUSTERS:/934242 Y ITERATION5 }  MINUS2LOGLIKELIHOOD=e951.2 h0AIC=f1001.2 CSCHWARZCRITERION=f1053.5 G POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: 1.000.000.000.000.00 L1.000.000.000.000.00 O81.000.000.000.000.00 \1.000.000.000.000.00 H SNUMBERSINCLUSTERS:1034052 Wq ITERATION6 2& 6 MINUS2LOGLIKELIHOOD=e949.9  0AIC=n999.9 SCHWARZCRITERION=f1052.20 QPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:{1.000.000.000.000.00 y1.000.000.000.000.001.000.000.000.000.00 1.000.000.000.000.00-NUMBERSINCLUSTERS:1133862  ITERATION7Y} MINUS2LOGLIKELIHOOD=e949.7 0AIC=n999.7SCHWARZCRITERION=f1052.0h POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:1.000.000.000.000.00 1.000.000.000.000.00<1.000.000.000.000.00&1.000.000.000.000.008\NUMBERSINCLUSTERS:1233672$H^ ITERATION8q, MINUS2LOGLIKELIHOOD=e953.2?&0AIC=f1003.2SCHWARZCRITERION=f1055.6#POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:=01.000.000.000.000.00bQ1.000.000.000.000.00f{1.000.000.000.000.00y1.000.000.000.000.00kNUMBERSINCLUSTERS:11531112o- ITERATION9sw MINUS2LOGLIKELIHOOD=e960.9zY0AIC=f1010.9[}SCHWARZCRITERION=f1063.3POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:h1.000.000.000.000.00]1.000.000.000.000.00A1.000.000.000.000.00E 1.000.000.000.000.00INUMBERSINCLUSTERS:12827112}8M\ ITERATION10QH\q MINUS2LOGLIKELIHOOD=e971.0U0AIC=f1021.0YSCHWARZCRITERION=f1073.3&0POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:41.000.000.000.000.0081.000.000.000.000.0001.000.000.000.000.00Q1.000.000.000.000.00{yNUMBERSINCLUSTERS:12826122  ITERATION11- MINUS2LOGLIKELIHOOD=e980.70AIC=f1030.7SCHWARZCRITERION=f1083.0Y}POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:1.000.000.000.000.001.000.000.000.000.00h1.000.000.000.000.001.000.000.000.000.00 NUMBERSINCLUSTERS:12826122MIXINGPROBABILITIES:0.180.160.410.230.03(8MEANVECTORFORCLUSTER1:g0.10586-12.78372-3.61936\MEANVECTORFORCLUSTER2:g1.301787.791607.25103HMEANVECTORFORCLUSTER3:g0.278702.160912.35183MEANVECTORFORCLUSTER4:-1.13316-0.26996-3.87872 o)qMEANVECTORFORCLUSTER5:-2.382536.53758-17.30616/ݝ&COMMONCOVARIANCEMATRIX(MLE):_0.832720.032790.0598800.032798.56507-0.39892@Q0.05988-0.398923.38457{dyCONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION11.RESULTSAREPRINTEDBELOW.h-mNUMBERSINCLUSTERS:12826122qNUMBEROFPARAMETERS=25SCHWARZCRITERION=f1083.0tY0AIC=f1030.7x}LISTOFCASES,BYCLUSTERhCLUSTER1٨CASE55 CASE06CCASE49GCASE448CASE40\CASE48KHCASE58OCASE59qCASE46CASE54SCASE27W&CASE37CLUSTER2CASE562CASE3150CASE099QCASE36{CASE21yCASE34 CASE35CASE14 -CLUSTER3CASE47 CASE52CASE12CASE22YCASE15}CASE28CASE43CASE23hCASE20CASE24CASE18 CASE19 CASE01CASE518CASE07.\CASE38|HCASE32CASE13qCASE30$CASE53^CASE33&CASE29CASE26,CASE41?CASE390CASE11QCLUSTER4:{CASE04=yCASE02bCASE50fCASE08-CASE05CASE45kCASE42oCASE60CASE10YCASE57~}CASE03vCASE16zCLUSTER5[hCASE25CASE17 ................................................................................]AD8H\K=6CLUSTERSH}NUMBEROFPARAMETERS=29MqQINITIAL MEANS\&U2.13748-20.96870.0811Y0.53077-6.2636-7.35640.96579-0.40802.065801.177462.84399.70653Q-0.182526.03134.58117{-1.7125214.4313-15.8189y ITERATION1-  MINUS2LOGLIKELIHOOD=2836.20AIC=f2894.2SCHWARZCRITERION=f2954.9YPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:}1.000.000.000.000.000.001.000.000.000.000.000.001.000.000.000.000.000.00h0.001.000.000.000.000.00NUMBERSINCLUSTERS:/411215181  ITERATION28\ MINUS2LOGLIKELIHOOD=1013.7H0AIC=f1071.7(SCHWARZCRITERION=f1132.4qPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:1.000.000.000.000.000.00)&1.000.000.000.000.000.00/0.990.010.000.000.000.000.970.030.000.000.000.00%0NUMBERSINCLUSTERS:/78234171Q{ ITERATION3y@ MINUS2LOGLIKELIHOOD=e993.0d-0AIC=f1051.0hSCHWARZCRITERION=f1111.7POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:m1.000.000.000.000.000.00pY1.000.000.000.000.000.00}1.000.000.000.000.000.001.000.000.000.000.000.00txhNUMBERSINCLUSTERS:/78225171 ITERATION4  MINUS2LOGLIKELIHOOD=e991.480AIC=f1049.4B\SCHWARZCRITERION=f1110.1FH˵POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:q1.000.000.000.000.000.00K1.000.000.000.000.000.00O1.000.000.000.000.000.00&1.000.000.000.000.000.00SNUMBERSINCLUSTERS:/78225171WZ0MIXINGPROBABILITIES:0.120.140.360.090.280.02QMEANVECTORFORCLUSTER1:g0.20432-15.50762-3.560301{MEANVECTORFORCLUSTER2:-0.86874-5.92864-6.089355yMEANVECTORFORCLUSTER3:-0.099981.44535-0.923019MEANVECTORFORCLUSTER4:-0.01572-2.399836.32111MEANVECTORFORCLUSTER5:g0.579047.399384.70223-MEANVECTORFORCLUSTER6:-1.7125214.43130-15.81890  COMMONCOVARIANCEMATRIX(MLE):Y}0.987840.080900.643240.080902.68205-0.040200.64324-0.040205.63916hCONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION4.RESULTSAREPRINTEDBELOW. NUMBERSINCLUSTERS:/782251718NUMBEROFPARAMETERS=29\SCHWARZCRITERION=f1110.1H0AIC=f1049.4.q|LISTOFCASES,BYCLUSTER&$CLUSTER1^CASE55 oCASE060CASE49QCASE44>{CASE40yCASE48CASE58:CLUSTER2=-CASE59bCASE46fCASE54CASE04CASE27jYCASE37n}CASE02rCASE25CLUSTER3~hCASE50vCASE12zCASE08[ CASE15CASE43CASE238CASE05\CASE45{HCASE42DCASE20HqCASE24CASE60}CASE18M&CASE19QCASE10CASE01\CASE51T0CASE57XQCASE07{CASE38yCASE033CASE167CLUSTER4-CASE47CASE52CASE22CASE28 CASE56YCLUSTER5}CASE32CASE13CASE31hCASE30CASE53CASE33 CASE29CASE26CASE418CASE39\CASE09HCASE36CASE21qCASE34CASE35(CASE11&CASE14CLUSTER6CASE17)-0 ................................................................................Q{%y׌K=7CLUSTERS-NUMBEROFPARAMETERS=33@dINITIAL MEANShY2.13748-20.96870.0811}-0.63588-6.9599-1.6749l-1.72254-1.9561-1.9935p1.555791.6920-0.3342h2.107483.33131.8811-0.242546.14390.4065t-1.7125214.4313-15.8189x  ITERATION18\ MINUS2LOGLIKELIHOOD=2704.0H0AIC=f2770.0صSCHWARZCRITERION=f2839.1BqFPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:˝1.000.000.000.000.000.000.00&1.000.000.000.000.000.000.00K0.001.000.000.000.000.000.00O0.001.000.000.000.000.000.000NUMBERSINCLUSTERS:/3136812162QV{ ITERATION2Zy1 MINUS2LOGLIKELIHOOD=1071.95-0AIC=f1137.99SCHWARZCRITERION=f1207.0POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: 1.000.000.000.000.000.000.00Y1.000.000.000.000.000.000.00 }0.550.450.000.000.000.000.000.580.420.000.000.000.000.00hNUMBERSINCLUSTERS:/51061013142 ITERATION3  MINUS2LOGLIKELIHOOD=1090.380AIC=f1156.3\SCHWARZCRITERION=f1225.4HPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:q1.000.000.000.000.000.000.001.000.000.000.000.000.000.001.000.000.000.000.000.000.00.&1.000.000.000.000.000.000.00|NUMBERSINCLUSTERS:/6871012152!0 ITERATION4;Q{y MINUS2LOGLIKELIHOOD=1114.80AIC=f1180.8>SCHWARZCRITERION=f1249.9-POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES::1.000.000.000.000.000.000.00=1.000.000.000.000.000.000.00b1.000.000.000.000.000.000.00eY1.000.000.000.000.000.000.00i} NUMBERSINCLUSTERS:/768913152jnh ITERATION5r~  MINUS2LOGLIKELIHOOD=1107.6v0AIC=f1173.6zSCHWARZCRITERION=f1242.78\POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:H1.000.000.000.000.000.000.001.000.000.000.000.000.000.00q1.000.000.000.000.000.000.00{1.000.000.000.000.000.000.00DH&NUMBERSINCLUSTERS:/7761213132} ITERATION6MP0Q MINUS2LOGLIKELIHOOD=1106.3{0AIC=f1172.3TySCHWARZCRITERION=f1241.4XPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES:-1.000.000.000.000.000.000.0031.000.000.000.000.000.000.0071.000.000.000.000.000.000.001.000.000.000.000.000.000.00 YNUMBERSINCLUSTERS:/7751314122 }  ITERATION7  h  MINUS2LOGLIKELIHOOD=1115.1 0AIC=f1181.1  SCHWARZCRITERION=f1250.2  POSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: 81.000.000.000.000.000.000.00 \1.000.000.000.000.000.000.00 H1.000.000.000.000.000.000.00 1.000.000.000.000.000.000.00 q NUMBERSINCLUSTERS:/7751414112 & ITERATION8  (  MINUS2LOGLIKELIHOOD=1111.3 o 00AIC=f1177.3 QSCHWARZCRITERION=f1246.4 *{ -yPOSTERIOR PROBSOF GROUPMEMBERSHIPFOR1ST4CASES: 1.000.000.000.000.000.000.00 1.000.000.000.000.000.000.00 %-1.000.000.000.000.000.000.00 ׫1.000.000.000.000.000.000.00  NUMBERSINCLUSTERS:/7751414112 @ "YMIXINGPROBABILITIES:0.120.120.080.240.230.180.03 c}MEANVECTORFORCLUSTER1:g0.20305-15.52559-3.56835 gMEANVECTORFORCLUSTER2:-0.55543-6.66545-4.42944 MEANVECTORFORCLUSTER3:-0.90750-3.599823.14867 hMEANVECTORFORCLUSTER4:-1.171823.09874-2.30740 lMEANVECTORFORCLUSTER5:g1.396541.840182.88261 pMEANVECTORFORCLUSTER6:g0.841928.311206.21725 MEANVECTORFORCLUSTER7:-2.382536.53760-17.30620  t w8COMMONCOVARIANCEMATRIX(MLE): \ H 0.316960.082530.07082 q0.082532.026590.13675 0.070820.136752.69399 ؝ B&CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION8.RESULTSAREPRINTEDBELOW. F   J0NUMBERSINCLUSTERS:/7751414112 NQNUMBEROFPARAMETERS=33 R{SCHWARZCRITERION=f1246.4 y 0AIC=f1177.3 V Z-LISTOFCASES,BYCLUSTER 1 5CLUSTER1 9CASE55 YCASE06}CASE49CASE44CASE40 hCASE48CASE58CLUSTER2 CASE59CASE46CASE548CASE04\CASE27HCASE37CASE02qCLUSTER3CASE47CASE52&CASE50CASE12CASE08.CLUSTER4+0CASE05QCASE45{CASE42!yCASE60;CASE19CASE10-CASE01CASE57>CASE03CASE13CASE16`YCASE53'}CASE26aCASE41eCLUSTER5ihCASE22CASE15jCASE28n CASE43rCASE23CASE208CASE24u\CASE18yHCASE56ڵCASE51qCASE07CASE38CASE32&CASE39{CLUSTER6DCASE31HCASE300CASE33QCASE29L{CASE09PyCASE36CASE21CASE34T-CASE35XCASE11CASE14CLUSTER73CASE256YCASE17} ................................................................................hK=8CLUSTERS NUMBEROFPARAMETERS=378\INITIAL MEANS H2.13748-20.96870.0811q0.76746-8.8261-0.4935-0.75588-3.6599-0.47492.10746-0.15611.0065&-0.112542.2439-3.19350.415793.79204.4658-1.814187.2794-0.6597-1.7125214.4313-15.81890