iYMIXPDTACLUSPAC-MIXTURE-MODELCLUSTERINGOF CASES}VARYINGCOVARIANCEMATRICES AUTOMATICSETTINGOFINITIALPARAMETERESTIMATESCopyright(C)StanleyL.SclovehDevelopedandprogrammedby:0Prof.StanleyL.Sclove, Ph.D.Phone (312)996-26810.Information&DecisionSciences Dept.M/C294 0CollegeofBusinessAdministration0UniversityofIllinoisatChicago0Box 4348,Chicago,IL60680-43488ProgramVersion:2.617-Dec-89\0(VM/CMS)H ................................................................................PROBLEM TITLEISqAFIFI/AZEN BLOODPRESSUREDATA(AFFAZNSDDATSRTC2)12/20/1989AT17:36:12NUMBEROFVARIABLES............/2&NUMBEROFOBSERVATIONS(SAMPLESIZE),N..15MINIMUMFOREACHVARIABLE:+ 130.07.0MAXIMUMFOREACHVARIABLE:0 262.051.0Q FIRSTFOURDATAPOINTS){ -------------------/y 257.07.0CASE09݌ 130.030.0CASE08 183.031.0CASE10_- 193.035.0CASE13NUMBEROFCLUSTERSTOREPORT........1TO9STATISTICSFOR WHOLE(UNCLUSTERED)SAMPLE:`MEANVECTOR:201.5339.53'COVARIANCEMATRIX:Y1571.716-32.818d}-32.818119.449h MINUS2LOGLIKELIHOOD=n267.2NUMBEROFPARAMETERS=J5h 0AIC=n277.2mSCHWARZCRITERION=n280.7q ................................................................................ K=2CLUSTERSNUMBEROFPARAMETERS=B11uINITIAL MEANSx8MEANVECTORFORCLUSTER1:\ 257.07.0HMEANVECTORFORCLUSTER2: 189.041.0q ITERATION1 MINUS2LOGLIKELIHOOD=n457.4ĝ 0AIC=n479.4C&SCHWARZCRITERION=n487.2GTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE08IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.K0THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE04IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,OQ$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL{HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.yTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE03IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,S$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLWHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.-THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE05IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL2HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.6THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE02IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLYHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.}THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE11IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, $HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. hTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE01IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.8THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE15IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,\$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: qCASE091.0000.000CASE080.5000.500CASE100.0001.000 &CASE130.0001.000CASE040.5000.500CASE030.5000.500<CASE050.5000.500|0CASE120.0001.000QCASE020.5000.500{CASE110.5000.500$yCASE010.5000.500^CASE060.0001.000CASE140.0001.000-CASE070.5000.500,CASE150.5000.500? CLUSTERING: CASESANDLABELS:--CASE09:1CASE08:1CASE10:2CASE13:2CASE04:1CASE03:1CASE05:1:YCASE12:2CASE02:1CASE11:1CASE01:1CASE06:2CASE14:2CASE07:1=}CASE15:1bNUMBERSINCLUSTERS:105f ITERATION2h MINUS2LOGLIKELIHOOD=n260.6 0AIC=n282.6kSCHWARZCRITERION=n290.4o CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:CASE091.0000.000CASE080.2610.739~8CASE100.3010.699v\CASE130.2110.789zHCASE040.2710.729[CASE030.1780.822qCASE050.2250.775CASE120.1380.862CASE020.1670.833]&CASE110.1960.804ACASE010.3190.681ECASE060.1680.832ICASE140.2020.7980CASE070.6500.350}QCASE150.2030.797M{ CLUSTERING:Qy CASESANDLABELS:--CASE09:1CASE08:2CASE10:2CASE13:2CASE04:2CASE03:2CASE05:2\CASE12:2CASE02:2CASE11:2CASE01:2CASE06:2CASE14:2CASE07:1U-CASE15:2YNUMBERSINCLUSTERS:213 ITERATION30 MINUS2LOGLIKELIHOOD=n258.04 0AIC=n280.07YSCHWARZCRITERION=n287.8}CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:CASE091.0000.000CASE080.1380.862hCASE100.2920.708 CASE130.1880.812CASE040.2320.768 CASE030.1370.863CASE050.1460.854CASE120.1150.8858CASE020.0870.913\CASE110.0820.918HCASE010.0870.913CASE060.1350.865qCASE140.2000.800CASE070.8220.178CASE150.0930.907& CLUSTERING: CASESANDLABELS:--CASE09:1CASE08:2CASE10:2CASE13:2CASE04:2CASE03:2CASE05:2CASE12:2CASE02:2CASE11:2CASE01:2CASE06:2CASE14:2CASE07:10CASE15:2(QMIXINGPROBABILITIES:0.250.75{MEANVECTORFORCLUSTER1:y199.67933.202MEANVECTORFORCLUSTER2:)202.15241.647/-COMMONCOVARIANCEMATRIX(MLE):ݫ892.01844.941f44.94143.222_CLUSTERMEMBERSHIPOFEACH CASE:CASELABELDATAYCASE09:1257.000e7.000}CASE08:2130.00030.000@CASE10:2183.00031.000CASE13:2193.00035.000dhCASE04:2214.00036.000hCASE03:2145.00037.000CASE05:2226.00040.000 CASE12:2189.00041.000mCASE02:2226.00046.000qCASE11:2238.00046.0008CASE01:2262.00046.000\CASE06:2202.00048.000tHCASE14:2191.00049.000xCASE07:1136.00050.000qCASE15:2231.00051.000CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION3.CLUSTER1&CASE09CASE07CLUSTER2CCASE08F0CASE10QCASE13{CASE04KyCASE03OCASE05CASE12-CASE02SCASE11WCASE01CASE06CASE141YCASE155} ................................................................................9K=3CLUSTERSNUMBEROFPARAMETERS=B17hINITIAL MEANS MEANVECTORFORCLUSTER1: 257.07.0 MEANVECTORFORCLUSTER2: 145.037.0 MEANVECTORFORCLUSTER3:8 262.046.0\ ITERATION1H MINUS2LOGLIKELIHOOD=n248.5 0AIC=n282.5qSCHWARZCRITERION=n294.6THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE10IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL&HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE13IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. j0THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE04IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,Q$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL.{HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.|yTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE05IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.$-THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE12IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,^$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE02IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL>YHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.}THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE11IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL:HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.=hTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE06IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,b$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLfHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE14IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLkHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.n8THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,r\$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.~THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE15IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,vq$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLzHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.[CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:&CASE091.0000.0000.000CASE080.0001.0000.000CASE100.3330.3330.333]CASE130.3330.3330.333{0CASE040.3330.3330.333DQCASE030.0001.0000.000H{CASE050.3330.3330.333yCASE120.3330.3330.333}CASE020.3330.3330.333MCASE110.3330.3330.333Q-CASE010.0000.0001.000CASE060.3330.3330.333\CASE140.3330.3330.333UCASE070.3330.3330.333YCASE150.3330.3330.333Y CLUSTERING:} CASESANDLABELS:--3CASE09:1CASE08:2CASE10:1CASE13:1CASE04:1CASE03:2CASE05:17ȟCASE12:1CASE02:1CASE11:1CASE01:3CASE06:1CASE14:1CASE07:1hCASE15:1NUMBERSINCLUSTERS:1221 ITERATION2  MINUS2LOGLIKELIHOOD=n258.5  0AIC=n292.5SCHWARZCRITERION=n304.68CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:\CASE091.0000.0000.000HCASE080.0030.9760.021CASE100.2890.5720.139qCASE130.2740.4770.249CASE040.3870.2760.337CASE030.0220.8630.115&CASE050.2430.2570.500CASE120.1720.4870.340CASE020.1470.3030.550CASE110.1100.2690.6210CASE010.0460.1930.761QCASE060.2240.3460.430{CASE140.2770.3390.385yCASE070.3240.3520.324(CASE150.1330.3220.545 CLUSTERING:- CASESANDLABELS:--CASE09:1CASE08:2CASE10:2CASE13:2CASE04:1CASE03:2CASE05:3)CASE12:2CASE02:3CASE11:3CASE01:3CASE06:3CASE14:3CASE07:2/CASE15:3NUMBERSINCLUSTERS:267Y ITERATION3%} MINUS2LOGLIKELIHOOD=n256.7׼ 0AIC=n290.7SCHWARZCRITERION=n302.8hCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:@CASE091.0000.0000.000 hCASE080.0030.9880.008d CASE100.2600.6700.070hCASE130.2360.5630.200CASE040.3060.3790.3158CASE030.0260.8750.099l\CASE050.1410.3080.550pHCASE120.1320.4840.384CASE020.0610.2860.653qCASE110.0390.2580.704tCASE010.0120.2020.786xCASE060.1250.3230.552&CASE140.1780.3210.501CASE070.3680.3200.312CASE150.0450.3020.653 CLUSTERING:0 CASESANDLABELS:--QCASE09:1CASE08:2CASE10:2CASE13:2CASE04:2CASE03:2CASE05:3B{CASE12:2CASE02:3CASE11:3CASE01:3CASE06:3CASE14:3CASE07:1FyCASE15:3ˌNUMBERSINCLUSTERS:267 ITERATION4K- MINUS2LOGLIKELIHOOD=n255.0O 0AIC=n289.0SCHWARZCRITERION=n301.0CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:SCASE091.0000.0000.000VYCASE080.0020.9960.002Z}CASE100.2460.7280.026CASE130.2220.6470.1311CASE040.2360.4910.2735hCASE030.0300.9130.0579CASE050.0630.3530.584CASE120.1120.5060.382  CASE020.0150.2580.727 CASE110.0060.2320.762 CASE010.0010.1880.811 8CASE060.0560.2860.658 \CASE140.1020.2840.613 HCASE070.4760.2320.292 CASE150.0060.2600.734 q CLUSTERING:  CASESANDLABELS:-- CASE09:1CASE08:2CASE10:2CASE13:2CASE04:2CASE03:2CASE05:3 &CASE12:2CASE02:3CASE11:3CASE01:3CASE06:3CASE14:3CASE07:1 CASE15:3  MIXINGPROBABILITIES:0.170.420.40 MEANVECTORFORCLUSTER1: 0208.86027.973 QMEANVECTORFORCLUSTER2: {183.06238.454 yMEANVECTORFORCLUSTER3: 217.87545.584 .COMMONCOVARIANCEMATRIX(MLE): |-459.015e3.345 n3.34520.722 CLUSTERMEMBERSHIPOFEACH CASE: $CASELABELDATA ^CASE09:1257.000e7.000 YCASE08:2130.00030.000 }CASE10:2183.00031.000 CASE13:2193.00035.000 >CASE04:2214.00036.000 hCASE03:2145.00037.000 CASE05:3226.00040.000 :CASE12:2189.00041.000 = CASE02:3226.00046.000 bCASE11:3238.00046.000 fCASE01:3262.00046.000 i8CASE06:3202.00048.000 \CASE14:3191.00049.000 jHCASE07:1136.00050.000 nCASE15:3231.00051.000 rqCONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION4. CLUSTER1 ~CASE09 v&CASE07 zCLUSTER2 [CASE08 CASE10 0CASE13 QCASE04 {CASE03 {yCASE12 DCLUSTER3 HCASE05 -CASE02 }CASE11 MCASE01 QCASE06 CASE14 YCASE15 T} ................................................................................ XK=4CLUSTERS NUMBEROFPARAMETERS=B23 hINITIAL MEANS 3MEANVECTORFORCLUSTER1: 7 257.07.0 MEANVECTORFORCLUSTER2:  193.035.0MEANVECTORFORCLUSTER3:8 226.040.0\MEANVECTORFORCLUSTER4:H 238.046.0 ITERATION1q MINUS2LOGLIKELIHOOD=f1009.30AIC=f1055.3SCHWARZCRITERION=f1071.6&THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE08IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE03IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,0$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLQHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.{THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE01IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,y$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,-$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL(HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:CASE091.0000.0000.0000.000CASE080.2500.2500.2500.250*YCASE100.0001.0000.0000.000-}CASE130.0001.0000.0000.000CASE040.0000.0001.0000.000CASE030.2500.2500.2500.250%hCASE050.0000.0001.0000.000CASE120.0001.0000.0000.000CASE020.0000.0001.0000.000 CASE110.0000.0000.0001.000@CASE010.2500.2500.2500.250CASE060.0001.0000.0000.000c8CASE140.0001.0000.0000.000g\CASE070.2500.2500.2500.250HCASE150.0000.0000.6740.326ŵ CLUSTERING:lq CASESANDLABELS:--pCASE09:1CASE08:1CASE10:2CASE13:2CASE04:3CASE03:1CASE05:3CASE12:2CASE02:3CASE11:4CASE01:1CASE06:2CASE14:2CASE07:1&CASE15:3tNUMBERSINCLUSTERS:5541x ITERATION2 MINUS2LOGLIKELIHOOD=n258.70 0AIC=n304.7QSCHWARZCRITERION=n321.0{CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:yCASE091.0000.0000.0000.000،CASE080.1990.4400.1880.172BCASE100.1040.6580.2100.028F-CASE130.0520.5860.3040.058˫CASE040.0590.4160.4570.069CASE030.0790.4810.2200.220KCASE050.0290.2640.5730.134OCASE120.0230.5540.2990.124RYCASE020.0120.2630.5010.224}CASE110.0110.1490.5790.261CASE010.0090.0270.6280.336VCASE060.0170.5140.2980.171ZhCASE140.0240.5940.2300.153CASE070.4260.2880.0930.1921CASE150.0100.2600.4470.2835 CLUSTERING:9 CASESANDLABELS:--CASE09:1CASE08:2CASE10:2CASE13:2CASE04:3CASE03:2CASE05:38CASE12:2CASE02:3CASE11:3CASE01:3CASE06:2CASE14:2CASE07:1\CASE15:3HNUMBERSINCLUSTERS:2760 ITERATION3q MINUS2LOGLIKELIHOOD=n255.3 0AIC=n301.3SCHWARZCRITERION=n317.6&CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:CASE091.0000.0000.0000.000CASE080.0620.6540.1670.117CASE100.1910.5330.2270.0490CASE130.0810.4810.3510.086QCASE040.0450.4060.4460.102{CASE030.1000.5330.1890.179yCASE050.0070.2910.5540.148CASE120.0290.4450.3730.153CASE020.0010.2590.5420.198-CASE110.0000.1960.5960.208CASE010.0000.1010.6450.255.CASE060.0050.4240.3520.218|CASE140.0140.5040.2510.231CASE070.5650.2590.0130.163YCASE150.0000.2680.4860.245!} CLUSTERING:; CASESANDLABELS:--ȟCASE09:1CASE08:2CASE10:2CASE13:2CASE04:3CASE03:2CASE05:3hCASE12:2CASE02:3CASE11:3CASE01:3CASE06:2CASE14:2CASE07:1CASE15:3>MIXINGPROBABILITIES:0.140.360.350.16 MEANVECTORFORCLUSTER1:203.62625.541:MEANVECTORFORCLUSTER2:'8186.80540.051a\MEANVECTORFORCLUSTER3:eH214.92842.660iMEANVECTORFORCLUSTER4:q203.61343.945jCOMMONCOVARIANCEMATRIX(MLE):n369.45511.283r&f11.28318.623CLUSTERMEMBERSHIPOFEACH CASE:~CASELABELDATAvCASE09:1257.000e7.000y0CASE08:2130.00030.000QCASE10:2183.00031.000{CASE13:2193.00035.000yCASE04:3214.00036.000CASE03:2145.00037.000CASE05:3226.00040.000{-CASE12:2189.00041.000DCASE02:3226.00046.000HCASE11:3238.00046.000CASE01:3262.00046.000}CASE06:2202.00048.000LYCASE14:2191.00049.000P}CASE07:1136.00050.000CASE15:3231.00051.000CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION3.ThCLUSTER1XCASE09CASE07 CLUSTER23CASE087CASE108CASE13\CASE03HCASE12CASE06qCASE14CLUSTER3CASE04&CASE05CASE02CASE11CASE01 0CASE15QCLUSTER4{ ................................................................................yK=5CLUSTERSNUMBEROFPARAMETERS=B29INITIAL MEANS f-MEANVECTORFORCLUSTER1: 257.07.0MEANVECTORFORCLUSTER2: 193.035.0(MEANVECTORFORCLUSTER3:&Y 226.040.0}MEANVECTORFORCLUSTER4: 238.046.0*MEANVECTORFORCLUSTER5:-h 191.049.0 ITERATION1 MINUS2LOGLIKELIHOOD=n703.8% 0AIC=n761.8SCHWARZCRITERION=n782.4THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE08IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,8$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL#\HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS."HTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE03IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,c$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLgqHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE01IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,ŝ$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLl&HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.pTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.s0CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:wQ CASE091.0000.0000.0000.0000.000{ CASE080.2000.2000.2000.2000.200y CASE100.0001.0000.0000.0000.000 CASE130.0001.0000.0000.0000.000 CASE040.0000.0001.0000.0000.000- CASE030.2000.2000.2000.2000.200ث CASE050.0000.0001.0000.0000.000B CASE120.0000.0000.0000.0001.000F CASE020.0000.0001.0000.0000.000 CASE110.0000.0000.0001.0000.000Y CASE010.2000.2000.2000.2000.200J} CASE060.0000.0000.0000.0001.000N CASE140.0000.0000.0000.0001.000R CASE070.2000.2000.2000.2000.200h CASE150.0000.0000.5490.4510.000 CLUSTERING:V CASESANDLABELS:--Z CASE09:1CASE08:1CASE10:2CASE13:2CASE04:3CASE03:1CASE05:3CASE12:5CASE02:3CASE11:4CASE01:1CASE06:5CASE14:5CASE07:11CASE15:348NUMBERSINCLUSTERS:524138\ ITERATION2H MINUS2LOGLIKELIHOOD=n258.0 0AIC=n316.0qSCHWARZCRITERION=n336.6CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: CASE091.0000.0000.0000.0000.000& CASE080.1190.6380.0890.0820.073 CASE100.1030.6380.2150.0200.023 CASE130.0550.4570.3580.0550.075 CASE040.0530.3520.4980.0580.0390 CASE030.0560.3550.1330.1520.304Q CASE050.0240.1490.6200.1310.076{ CASE120.0220.1660.3170.1370.358y CASE020.0090.0330.4670.2350.256 CASE110.0070.0260.5420.2740.151 CASE010.0060.0130.5920.3550.033- CASE060.0120.0280.2450.1690.547 CASE140.0170.0260.1790.1460.632 CASE070.3950.0600.0540.1460.345 CASE150.0060.0080.3440.2790.363 CLUSTERING:Y CASESANDLABELS:--+}CASE09:1CASE08:2CASE10:2CASE13:2CASE04:3CASE03:2CASE05:3CASE12:5CASE02:3CASE11:3CASE01:3CASE06:5CASE14:5CASE07:1CASE15:5!hNUMBERSINCLUSTERS:24504; ITERATION3ߨ MINUS2LOGLIKELIHOOD=n253.1 0AIC=n311.1SCHWARZCRITERION=n331.6>CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:8 CASE091.0000.0000.0000.0000.000\ CASE080.0140.8950.0480.0210.023`H CASE100.1790.5690.2110.0210.020' CASE130.0800.4440.3600.0570.059aq CASE040.0340.3300.4970.0790.059e CASE030.0870.4970.1030.1150.199i CASE050.0030.1430.6040.1450.104& CASE120.0290.1740.3790.1620.256j CASE020.0000.0270.5260.2160.230n CASE110.0000.0230.5770.2260.174r CASE010.0000.0180.5900.2900.1030 CASE060.0030.0150.2770.2280.478Q CASE140.0080.0090.1570.2200.606 ůu{ CASE070.4450.0010.0020.0970.455yy CASE150.0000.0040.4110.2490.336ڌ CLUSTERING: CASESANDLABELS:---CASE09:1CASE08:2CASE10:2CASE13:2CASE04:3CASE03:2CASE05:3CASE12:3CASE02:3CASE11:3CASE01:3CASE06:5CASE14:5CASE07:5CASE15:3{NUMBERSINCLUSTERS:14703D ITERATION4GY MINUS2LOGLIKELIHOOD=n249.2} 0AIC=n307.2SCHWARZCRITERION=n327.7LCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:Ph CASE091.0000.0000.0000.0000.000 CASE080.0000.9840.0120.0030.002 CASE100.2880.5100.1860.0100.006T CASE130.0770.5030.3510.0400.029X CASE040.0010.3580.5240.0690.049 CASE030.0350.6970.0640.0850.1188 CASE050.0000.1390.6170.1360.1072\ CASE120.0080.1460.4300.1860.2306H CASE020.0000.0090.5590.2140.218 CASE110.0000.0100.6000.2110.179q CASE010.0000.0130.5600.2640.164 CASE060.0000.0020.2540.2700.474 CASE140.0000.0000.1090.2610.629& CASE070.4960.0000.0000.0410.463 CASE150.0000.0000.4550.2520.292 CLUSTERING: CASESANDLABELS:--0CASE09:1CASE08:2CASE10:2CASE13:2CASE04:3CASE03:2CASE05:3QCASE12:3CASE02:3CASE11:3CASE01:3CASE06:5CASE14:5CASE07:1{CASE15:3 yNUMBERSINCLUSTERS:24702 ITERATION5 MINUS2LOGLIKELIHOOD=n245.7- 0AIC=n303.7SCHWARZCRITERION=n324.2CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: CASE091.0000.0000.0000.0000.000 CASE080.0000.9960.0030.0000.000Y CASE100.3810.4710.1450.0030.000} CASE130.0090.5970.3610.0250.008< CASE040.0000.3760.5570.0470.020& CASE030.0000.9070.0270.0380.028h CASE050.0000.1110.6730.1280.088 CASE120.0000.1360.4630.2100.192* CASE020.0000.0030.5450.2280.225- CASE110.0000.0030.5850.2180.194 CASE010.0000.0040.5190.2560.220 CASE060.0000.0000.2160.2880.495,8 CASE140.0000.0000.0790.2580.664?\ CASE070.6280.0000.0000.0110.361H CASE150.0000.0000.4590.2700.271ֵ CLUSTERING:#q CASESANDLABELS:--"CASE09:1CASE08:2CASE10:2CASE13:2CASE04:3CASE03:2CASE05:3cCASE12:3CASE02:3CASE11:3CASE01:3CASE06:5CASE14:5CASE07:1g&CASE15:3MIXINGPROBABILITIES:0.130.240.310.130.18MEANVECTORFORCLUSTER1:l205.08425.038o0MEANVECTORFORCLUSTER2:Q165.40234.114{MEANVECTORFORCLUSTER3:sy220.72642.674wMEANVECTORFORCLUSTER4:217.85345.894-MEANVECTORFORCLUSTER5:202.20047.356COMMONCOVARIANCEMATRIX(MLE):213.733-9.559f-9.55910.602AYCLUSTERMEMBERSHIPOFEACH CASE:E}CASELABELDATAICASE09:1257.000e7.000CASE08:2130.00030.000JhCASE10:2183.00031.000NCASE13:2193.00035.000RCASE04:3214.00036.000 CASE03:2145.00037.000CASE05:3226.00040.000VCASE12:3189.00041.000Y8CASE02:3226.00046.000\CASE11:3238.00046.0000HCASE01:3262.00046.0004CASE06:5202.00048.0008qCASE14:5191.00049.000CASE07:1136.00050.000 CASE15:3231.00051.000 &CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION5. CLUSTER1 CASE09 CASE07 0CLUSTER2 QCASE08 {CASE10 yCASE13 CASE03 CLUSTER3 -CASE04 CASE05 CASE12 CASE02 CASE11 YCASE01 }CASE15 CLUSTER4 CLUSTER5 +hCASE06 CASE14 ................................................................................ ! K=6CLUSTERS ;NUMBEROFPARAMETERS=B35 INITIAL MEANS 8MEANVECTORFORCLUSTER1: \ 257.07.0 _HMEANVECTORFORCLUSTER2: 183.031.0 qMEANVECTORFORCLUSTER3: ` 214.036.0 'MEANVECTORFORCLUSTER4: a& 226.040.0 eMEANVECTORFORCLUSTER5: i 226.046.0 MEANVECTORFORCLUSTER6: ' 0 262.046.0 mQ ITERATION1 q{ MINUS2LOGLIKELIHOOD=n788.8 y 0AIC=n858.8 ȌSCHWARZCRITERION=n883.6 uTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE08IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, y-$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL ګHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE03IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, $HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. YTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE06IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, }$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL CHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. GTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, h$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. LCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: P CASE091.0000.0000.0000.0000.0000.000 CASE080.1670.1670.1670.1670.1670.167 CASE100.0001.0000.0000.0000.0000.000 S8CASE130.0001.0000.0000.0000.0000.000 W\CASE040.0000.0001.0000.0000.0000.000 HCASE030.1670.1670.1670.1670.1670.167 CASE050.0000.0000.0001.0000.0000.000 2qCASE120.0001.0000.0000.0000.0000.000 6CASE020.0000.0000.0000.0001.0000.000 CASE110.0000.0000.0001.0000.0000.000 &CASE010.0000.0000.0000.0000.0001.000 CASE060.1670.1670.1670.1670.1670.167 CASE140.0001.0000.0000.0000.0000.000 CASE070.1670.1670.1670.1670.1670.167 0CASE150.0000.0000.0000.0001.0000.000 Q CLUSTERING: { CASESANDLABELS:-- yCASE09:1CASE08:1CASE10:2CASE13:2CASE04:3CASE03:1CASE05:4 CASE12:2CASE02:5CASE11:4CASE01:6CASE06:1CASE14:2CASE07:1 CASE15:5 -NUMBERSINCLUSTERS:541221  ITERATION2  MINUS2LOGLIKELIHOOD=n260.0  0AIC=n330.0 SCHWARZCRITERION=n354.8 YCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: }CASE091.0000.0000.0000.0000.0000.000 CASE080.1730.1040.2900.1460.1240.163 CASE100.1010.7150.1340.0350.0040.012 hCASE130.0480.6190.1680.1100.0200.035 <CASE040.0440.2940.3050.2590.0200.077 &CASE030.0880.1840.2240.1800.1850.140 CASE050.0080.0730.1840.4860.0820.168 CASE120.0150.4990.0990.1730.1450.069 *CASE020.0010.0430.0430.3500.3960.167 ^8CASE110.0000.0080.0340.4140.3290.215 \CASE010.0000.0000.0180.4870.1440.351 HCASE060.0030.3130.0400.1610.3930.090 ,CASE140.0060.4800.0430.1090.2900.072 ?qCASE070.4790.0590.2630.0530.0280.117 CASE150.0000.0190.0110.1740.6700.128 ֝ CLUSTERING: #& CASESANDLABELS:-- "CASE09:1CASE08:3CASE10:2CASE13:2CASE04:3CASE03:3CASE05:4 cCASE12:2CASE02:5CASE11:4CASE01:4CASE06:5CASE14:2CASE07:1 gCASE15:5 0NUMBERSINCLUSTERS:243330 Q ITERATION3 k{ MINUS2LOGLIKELIHOOD=n255.4 oy 0AIC=n325.4 SCHWARZCRITERION=n350.1 CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: s-CASE091.0000.0000.0000.0000.0000.000 wCASE080.0340.0880.4960.1580.0560.168 CASE100.1940.5330.1540.0750.0080.037 CASE130.0650.5090.1420.1740.0380.071 CASE040.0180.3710.1750.2870.0360.113 YCASE030.1320.1350.2840.1550.1420.152 }CASE050.0010.1480.1090.4590.1150.169 ]CASE120.0130.3650.0980.2150.2070.102 ACASE020.0000.0800.0420.3450.3860.147 EhCASE110.0000.0310.0360.4250.3350.173 ICASE010.0000.0020.0270.5510.1730.248 CASE060.0000.2510.0610.1680.4030.118 k J CASE140.0020.3430.0900.1160.3290.121 NCASE070.6400.0180.2770.0050.0060.054 RCASE150.0000.0480.0250.2230.5650.139 8 CLUSTERING: \\ CASESANDLABELS:-- UHCASE09:1CASE08:3CASE10:2CASE13:2CASE04:2CASE03:3CASE05:4 YCASE12:2CASE02:5CASE11:4CASE01:4CASE06:5CASE14:2CASE07:1 qCASE15:5 0NUMBERSINCLUSTERS:252330 4 ITERATION4 8& MINUS2LOGLIKELIHOOD=n251.7  0AIC=n321.7 SCHWARZCRITERION=n346.5 CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: 0CASE091.0000.0000.0000.0000.0000.000 QCASE080.0000.0560.6150.1370.0080.184 {CASE100.3170.3900.1370.0980.0050.053 yCASE130.0680.4480.1230.2290.0350.097 CASE040.0010.3920.1150.3230.0430.125 CASE030.0560.1080.4170.1470.0760.196 -CASE050.0000.1860.0660.4600.1350.153 CASE120.0040.3160.1000.2440.2110.125 CASE020.0000.1050.0350.3400.3900.130 CASE110.0000.0550.0270.4270.3450.146 CASE010.0000.0080.0190.5700.2070.195 YCASE060.0000.2210.0720.1420.4460.118 }CASE140.0000.2640.1270.0840.4020.124 CASE070.8120.0030.1710.0000.0030.011 CASE150.0000.0750.0310.2190.5420.133 h CLUSTERING:  CASESANDLABELS:-- CASE09:1CASE08:3CASE10:2CASE13:2CASE04:2CASE03:3CASE05:4 + CASE12:2CASE02:5CASE11:4CASE01:4CASE06:5CASE14:5CASE07:1 CASE15:5 NUMBERSINCLUSTERS:242340 8 ITERATION5 )\ MINUS2LOGLIKELIHOOD=n247.3 /H 0AIC=n317.3 ݵSCHWARZCRITERION=n342.1 qCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: _CASE091.0000.0000.0000.0000.0000.000 CASE080.0000.0240.6720.0960.0000.208 &CASE100.4320.2870.1150.1050.0010.059 `CASE130.0090.4390.1260.2880.0150.124 'CASE040.0000.4000.0820.3640.0310.123 aCASE030.0000.0700.5590.1280.0110.233 d0CASE050.0000.2060.0440.4690.1430.137 hQCASE120.0000.3030.1200.2640.1620.151 {CASE020.0000.1170.0280.3040.4360.115 yCASE110.0000.0690.0200.3930.3920.126 mCASE010.0000.0140.0110.5640.2530.158 qCASE060.0000.1910.0690.1110.5340.096 -CASE140.0000.2010.1210.0590.5300.089 ȫCASE070.9570.0000.0390.0000.0020.001 uCASE150.0000.0930.0280.1890.5760.115 y CLUSTERING:  CASESANDLABELS:-- YCASE09:1CASE08:3CASE10:1CASE13:2CASE04:2CASE03:3CASE05:4 }CASE12:2CASE02:5CASE11:4CASE01:4CASE06:5CASE14:5CASE07:1 CASE15:5 NUMBERSINCLUSTERS:332340 h ITERATION6 C MINUS2LOGLIKELIHOOD=n243.0 G 0AIC=n313.0 SCHWARZCRITERION=n337.8 CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: LCASE091.0000.0000.0000.0000.0000.000 O8CASE080.0000.0060.7370.0520.0000.205 \CASE100.2850.3380.1220.1640.0000.090 HCASE130.0000.4240.1200.3200.0010.136 SCASE040.0000.4220.0500.4060.0050.117 WqCASE030.0000.0280.6510.0830.0000.239 CASE050.0000.2310.0320.5090.0990.130 CASE120.0000.3120.1680.2790.0650.176 2&CASE020.0000.1130.0230.2490.5250.090 6CASE110.0000.0680.0140.3340.4850.098 CASE010.0000.0140.0050.5250.3260.129 CASE060.0000.1520.0490.0730.6620.0640CASE140.0000.1390.0660.0340.7070.054 QCASE070.9970.0000.0010.0000.0010.000{CASE150.0000.0970.0210.1500.6460.086 y CLUSTERING: CASESANDLABELS:-- CASE09:1CASE08:3CASE10:2CASE13:2CASE04:2CASE03:3CASE05:4-CASE12:2CASE02:5CASE11:5CASE01:4CASE06:5CASE14:5CASE07:1CASE15:5NUMBERSINCLUSTERS:242250  ITERATION7 MINUS2LOGLIKELIHOOD=n239.8Y 0AIC=n309.8}SCHWARZCRITERION=n334.6CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:CASE091.0000.0000.0000.0000.0000.000hCASE080.0000.0010.7980.0230.0000.178 ^ CASE100.0880.4440.0990.2510.0000.118CASE130.0000.4340.0960.3390.0000.132 CASE040.0000.4300.0240.4400.0000.106<CASE030.0000.0070.7370.0350.0000.221&CASE050.0000.2520.0200.5840.0140.1298CASE120.0000.3270.2110.2630.0060.193\CASE020.0000.1020.0130.1970.6230.065$HCASE110.0000.0540.0070.2680.6020.069^CASE010.0000.0070.0020.4200.4750.096qCASE060.0000.0990.0200.0340.8110.036CASE140.0000.0630.0170.0110.8820.026,CASE070.9980.0000.0000.0000.0020.000?&CASE150.0000.0990.0090.1180.7140.061 CLUSTERING: CASESANDLABELS:--#CASE09:1CASE08:3CASE10:2CASE13:2CASE04:4CASE03:3CASE05:4=0CASE12:2CASE02:5CASE11:5CASE01:5CASE06:5CASE14:5CASE07:1bQCASE15:5f{NUMBERSINCLUSTERS:232260y ITERATION8 MINUS2LOGLIKELIHOOD=n235.1k 0AIC=n305.1o-SCHWARZCRITERION=n329.9CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:CASE091.0000.0000.0000.0000.0000.000sCASE080.0000.0000.8510.0060.0000.142wCASE100.0000.5250.0470.3170.0000.111zYCASE130.0000.4670.0540.3620.0000.117[}CASE040.0000.4140.0070.4850.0000.093CASE030.0000.0010.8160.0060.0000.176CASE050.0000.2440.0060.6330.0000.116hCASE120.0000.3430.2220.2170.0000.218]CASE020.0000.0940.0040.1590.6960.046ACASE110.0000.0420.0010.2120.7000.045E CASE010.0000.0030.0000.2640.6740.058ICASE060.0000.0420.0050.0100.9250.018CASE140.0000.0140.0030.0010.9720.010}8CASE070.9980.0000.0000.0000.0020.000M\CASE150.0000.1110.0020.0990.7380.050QH CLUSTERING: CASESANDLABELS:--\qCASE09:1CASE08:3CASE10:2CASE13:2CASE04:4CASE03:3CASE05:4UCASE12:2CASE02:5CASE11:5CASE01:5CASE06:5CASE14:5CASE07:1YCASE15:5&MIXINGPROBABILITIES:0.130.150.130.180.310.080MEANVECTORFORCLUSTER1:4196.57328.4748MEANVECTORFORCLUSTER2:0201.61537.451QMEANVECTORFORCLUSTER3:{146.68234.382yMEANVECTORFORCLUSTER4: 215.81439.468MEANVECTORFORCLUSTER5:-221.73347.798MEANVECTORFORCLUSTER6:189.68938.332COMMONCOVARIANCEMATRIX(MLE):163.882-18.135Y-18.13510.719}CLUSTERMEMBERSHIPOFEACH CASE:CASELABELDATACASE09:1257.000e7.000hCASE08:3130.00030.000CASE10:2183.00031.000CASE13:2193.00035.000 CASE04:4214.00036.000CASE03:3145.00037.000CASE05:4226.00040.000(8CASE12:2189.00041.000\CASE02:5226.00046.000HCASE11:5238.00046.000CASE01:5262.00046.000)qCASE06:5202.00048.000/CASE14:5191.00049.000ݝCASE07:1136.00050.000&CASE15:5231.00051.000_CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION8.CLUSTER1CASE090CASE07@QCLUSTER2{CASE10dyCASE13hCASE12CLUSTER3-CASE08mCASE03qCLUSTER4CASE04CASE05tYCLUSTER5x}CASE02CASE11CASE01hCASE06CASE14٨CASE15 CLUSTER6C ................................................................................GK=7CLUSTERS8NUMBEROFPARAMETERS=B41\INITIAL MEANSKHMEANVECTORFORCLUSTER1:O 257.07.0qMEANVECTORFORCLUSTER2: 183.031.0SMEANVECTORFORCLUSTER3:W& 214.036.0MEANVECTORFORCLUSTER4: 226.040.02MEANVECTORFORCLUSTER5:50 226.046.09QMEANVECTORFORCLUSTER6:{ 262.046.0yMEANVECTORFORCLUSTER7: 191.049.0 ITERATION1 - MINUS2LOGLIKELIHOOD=n596.1 0AIC=n678.1 SCHWARZCRITERION=n707.1THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE08IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, Ŕ$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLYHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.}THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE03IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.hTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: CASE091.0000.0000.0000.0000.0000.0000.000CASE080.1430.1430.1430.1430.1430.1430.1438CASE100.0001.0000.0000.0000.0000.0000.000.\CASE130.0001.0000.0000.0000.0000.0000.000|HCASE040.0000.0001.0000.0000.0000.0000.000CASE030.1430.1430.1430.1430.1430.1430.143qCASE050.0000.0000.0001.0000.0000.0000.000$CASE120.0000.0000.0000.0000.0000.0001.000^CASE020.0000.0000.0000.0001.0000.0000.000&CASE110.0000.0000.0001.0000.0000.0000.000CASE010.0000.0000.0000.0000.0001.0000.000,CASE060.0000.0000.0000.0000.0000.0001.000?CASE140.0000.0000.0000.0000.0000.0001.0000CASE070.1430.1430.1430.1430.1430.1430.143QCASE150.0000.0000.0000.0001.0000.0000.000:{ CLUSTERING:=y CASESANDLABELS:--bCASE09:1CASE08:1CASE10:2CASE13:2CASE04:3CASE03:1CASE05:4fCASE12:7CASE02:5CASE11:4CASE01:6CASE06:7CASE14:7CASE07:1-CASE15:5NUMBERSINCLUSTERS:4212213k ITERATION2o MINUS2LOGLIKELIHOOD=n261.2 0AIC=n343.2YSCHWARZCRITERION=n372.2~}CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:vCASE091.0000.0000.0000.0000.0000.0000.000zCASE080.0870.1640.2050.1460.1140.1730.109[hCASE100.0930.7480.1130.0270.0030.0090.007CASE130.0100.5460.2240.1270.0210.0380.034CASE040.0000.1830.4040.3010.0220.0830.008 CASE030.0910.3020.1580.1030.0990.0810.166]CASE050.0000.0060.1620.5600.0860.1760.011ACASE120.0000.0760.0980.1990.1630.0740.389D8CASE020.0000.0000.0120.3390.4060.1490.094H\CASE110.0000.0000.0090.4250.3460.2020.018HCASE010.0000.0000.0040.5100.1440.3420.000}CASE060.0000.0000.0070.0890.2700.0480.586MqCASE140.0000.0000.0060.0510.1850.0340.723QCASE070.2750.0890.2960.0620.0550.1710.051CASE150.0000.0000.0010.1230.6270.0860.163\& CLUSTERING:U CASESANDLABELS:--YCASE09:1CASE08:3CASE10:2CASE13:2CASE04:3CASE03:2CASE05:4CASE12:7CASE02:5CASE11:4CASE01:4CASE06:7CASE14:7CASE07:30CASE15:53QNUMBERSINCLUSTERS:13332037{ ITERATION3y MINUS2LOGLIKELIHOOD=n254.6 0AIC=n336.6SCHWARZCRITERION=n365.7-CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: CASE091.0000.0000.0000.0000.0000.0000.000CASE080.0020.3520.2480.1290.0310.1460.092CASE100.1790.5520.1470.0750.0070.0350.005CASE130.0310.4410.1740.2150.0430.0740.022YCASE040.0010.2440.2120.3640.0510.1220.006}CASE030.0710.3320.1860.0880.0690.0990.156CASE050.0000.0250.1000.5560.1470.1610.011CASE120.0020.0850.1130.2420.2040.1030.251hCASE020.0000.0010.0240.3580.3850.1270.105CASE110.0000.0000.0170.4510.3530.1460.033CASE010.0000.0000.0080.5740.2130.2040.001 CASE060.0000.0010.0340.1110.3000.0910.463CASE140.0000.0010.0510.0620.2380.0960.553CASE070.3990.0080.4440.0020.0120.1270.0078CASE150.0000.0000.0070.1690.4680.1110.245\ CLUSTERING:H CASESANDLABELS:-- Ů(CASE09:1CASE08:2CASE10:2CASE13:2CASE04:4CASE03:2CASE05:4qCASE12:7CASE02:5CASE11:4CASE01:4CASE06:7CASE14:7CASE07:3CASE15:5NUMBERSINCLUSTERS:1414203)& ITERATION4/ MINUS2LOGLIKELIHOOD=n248.3 0AIC=n330.3SCHWARZCRITERION=n359.3%0CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:QCASE091.0000.0000.0000.0000.0000.0000.000{CASE080.0000.6680.1550.0540.0010.0790.043yCASE100.3210.4210.1080.1020.0030.0430.001@CASE130.0090.4580.1190.2900.0320.0830.009CASE040.0000.3150.1100.4030.0560.1140.001d-CASE030.0000.3220.2660.0620.0210.1400.188hCASE050.0000.0500.0520.5850.1820.1270.004CASE120.0000.0460.1120.2780.2030.1260.235CASE020.0000.0000.0200.3700.4190.1040.086mCASE110.0000.0000.0130.4750.3820.1060.024pYCASE010.0000.0000.0060.5990.2570.1370.001}CASE060.0000.0000.0480.0760.3340.1020.440CASE140.0000.0000.0970.0290.2750.1260.472tCASE070.6270.0000.3300.0000.0020.0420.000xhCASE150.0000.0000.0120.1550.4420.1040.287 CLUSTERING: CASESANDLABELS:-- CASE09:1CASE08:2CASE10:2CASE13:2CASE04:4CASE03:2CASE05:4CASE12:4CASE02:5CASE11:4CASE01:4CASE06:7CASE14:7CASE07:1CASE15:58NUMBERSINCLUSTERS:2405202B\ ITERATION5FH MINUS2LOGLIKELIHOOD=n243.4˵ 0AIC=n325.4qSCHWARZCRITERION=n354.4KCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:OCASE091.0000.0000.0000.0000.0000.0000.000&CASE080.0000.8560.0790.0110.0000.0410.013CASE100.1920.5050.1020.1460.0000.0540.000SCASE130.0000.5030.0850.3190.0090.0830.002WCASE040.0000.3520.0660.4560.0310.0950.000Z0CASE030.0000.2740.3120.0260.0020.1600.226QCASE050.0000.0570.0310.6310.1760.1040.0011{CASE120.0000.0260.1200.2890.1540.1670.2445yCASE020.0000.0000.0150.3470.4870.0920.0609CASE110.0000.0000.0080.4600.4330.0860.012CASE010.0000.0000.0040.5990.2950.1020.000-CASE060.0000.0000.0420.0450.3790.0880.446 CASE140.0000.0000.0970.0130.3320.1060.452CASE070.8890.0000.1070.0000.0000.0040.000 CASE150.0000.0000.0100.1250.4680.0920.305 CLUSTERING:Y CASESANDLABELS:--}CASE09:1CASE08:2CASE10:2CASE13:2CASE04:4CASE03:3CASE05:4CASE12:4CASE02:5CASE11:4CASE01:4CASE06:7CASE14:7CASE07:1CASE15:5hNUMBERSINCLUSTERS:2315202 ITERATION6 MINUS2LOGLIKELIHOOD=n240.5 0AIC=n322.5SCHWARZCRITERION=n351.5CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:8CASE091.0000.0000.0000.0000.0000.0000.000\CASE080.0000.9020.0600.0020.0000.0300.005HCASE100.0180.6480.0910.1890.0000.0550.000CASE130.0000.5300.0680.3250.0010.0760.000.qCASE040.0000.3660.0460.5080.0050.0750.000|CASE030.0000.2020.3380.0060.0000.1710.282CASE050.0000.0510.0250.7230.1080.0930.000&CASE120.0000.0170.1500.2570.0860.2290.261$CASE020.0000.0000.0130.3060.5620.0820.037^CASE110.0000.0000.0070.4280.4890.0720.005CASE010.0000.0000.0030.5530.3660.0780.0000CASE060.0000.0000.0320.0190.4370.0660.446QCASE140.0000.0000.0690.0030.4180.0710.439>{CASE070.9810.0000.0180.0000.0000.0000.000yCASE150.0000.0000.0090.0910.5120.0790.309 CLUSTERING:: CASESANDLABELS:--=-CASE09:1CASE08:2CASE10:2CASE13:2CASE04:4CASE03:3CASE05:4bCASE12:7CASE02:5CASE11:5CASE01:4CASE06:7CASE14:7CASE07:1fCASE15:5NUMBERSINCLUSTERS:2313303 ITERATION7jY MINUS2LOGLIKELIHOOD=n234.0n} 0AIC=n316.0rSCHWARZCRITERION=n345.1CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: ű~hCASE091.0000.0000.0000.0000.0000.0000.000vCASE080.0000.8980.0660.0010.0000.0290.007zCASE100.0000.6820.0610.2150.0000.0420.000[ CASE130.0000.5310.0590.3440.0000.0660.000CASE040.0000.3640.0320.5480.0000.0570.000CASE030.0000.0930.3580.0010.0000.1760.3728CASE050.0000.0380.0230.8300.0260.0830.000\CASE120.0000.0070.2060.1820.0180.2890.298{HCASE020.0000.0000.0120.2420.6500.0710.024DCASE110.0000.0000.0060.3710.5640.0560.002HqCASE010.0000.0000.0020.4570.4850.0560.000CASE060.0000.0000.0210.0050.5270.0480.398}CASE140.0000.0000.0340.0000.5500.0470.369M&CASE070.9990.0000.0010.0000.0000.0000.000QCASE150.0000.0000.0080.0520.5590.0660.315PREC.MX.OFCLUSTER1HASBEENSETTOPOOLEDPREC.MX.\ CLUSTERING:T0 CASESANDLABELS:--XQCASE09:1CASE08:2CASE10:2CASE13:2CASE04:4CASE03:7CASE05:4{CASE12:7CASE02:5CASE11:5CASE01:5CASE06:5CASE14:5CASE07:1yCASE15:53NUMBERSINCLUSTERS:23026027 ITERATION8- MINUS2LOGLIKELIHOOD=n296.8 0AIC=n378.8SCHWARZCRITERION=n407.8CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: CASE091.0000.0000.0000.0000.0000.0000.000YCASE080.0000.8900.0680.0000.0000.0270.016}CASE100.4970.3380.0160.1350.0000.0150.000CASE130.0970.4730.0430.3390.0000.0490.000CASE040.0050.3570.0190.5810.0000.0390.000hCASE030.0010.0100.3630.0000.0000.1630.463CASE050.0000.0200.0190.8930.0010.0680.000CASE120.0010.0010.2550.0840.0000.3240.335 CASE020.0000.0000.0110.1600.7470.0620.020CASE110.0000.0000.0050.2850.6660.0420.001CASE010.0000.0000.0020.3180.6460.0340.0008CASE060.0000.0000.0100.0010.6550.0340.300\CASE140.0000.0000.0110.0000.7310.0280.230HCASE070.0000.0000.0650.0000.8780.0570.000CASE150.0000.0000.0050.0210.5340.0620.377q CLUSTERING: CASESANDLABELS:--(CASE09:1CASE08:2CASE10:1CASE13:2CASE04:4CASE03:7CASE05:4&CASE12:7CASE02:5CASE11:5CASE01:5CASE06:5CASE14:5CASE07:5CASE15:5NUMBERSINCLUSTERS:2202702) ITERATION9-0 MINUS2LOGLIKELIHOOD=n236.5Q 0AIC=n318.5{SCHWARZCRITERION=n347.5%yCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:׌CASE091.0000.0000.0000.0000.0000.0000.000CASE080.0000.9300.0340.0000.0000.0120.024-CASE100.3620.2570.0400.3140.0000.0270.000@CASE130.0010.5510.0390.3680.0000.0410.000CASE040.0000.3690.0150.5850.0000.0300.000dCASE030.0000.0000.3140.0000.0000.1430.543hCASE050.0000.0030.0110.9360.0000.0490.000YCASE120.0000.0000.2390.0180.0000.3100.433}CASE020.0000.0000.0080.1030.8010.0570.030lCASE110.0000.0000.0030.2640.6990.0330.002pCASE010.0000.0000.0000.1760.8070.0170.000hCASE060.0000.0000.0090.0000.7920.0280.172CASE140.0000.0000.0100.0000.9120.0230.055tCASE070.0230.0000.0060.0000.9670.0050.000x CASE150.0000.0000.0060.0040.1950.0830.711 CLUSTERING: CASESANDLABELS:--8CASE09:1CASE08:2CASE10:1CASE13:2CASE04:4CASE03:7CASE05:4\CASE12:7CASE02:5CASE11:5CASE01:5CASE06:5CASE14:5CASE07:5HCASE15:7صNUMBERSINCLUSTERS:2202603Bq ITERATION10F MINUS2LOGLIKELIHOOD=n226.4˝ 0AIC=n308.4&SCHWARZCRITERION=n337.4KCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:OCASE091.0000.0000.0000.0000.0000.0000.000CASE080.0000.9440.0240.0000.0000.0120.0200CASE100.5290.0510.0100.3990.0000.0110.000QCASE130.0000.5400.0280.4030.0000.0300.000V{CASE040.0000.3640.0070.6150.0000.0130.000 >ZyCASE030.0000.0000.2850.0000.0000.1050.609CASE050.0000.0010.0100.9600.0000.0300.0001CASE120.0000.0000.2400.0000.0000.2970.4625-CASE020.0000.0000.0070.0190.8850.0570.0329CASE110.0000.0000.0020.1340.8350.0280.001CASE010.0000.0000.0000.0750.9160.0080.000CASE060.0000.0000.0030.0000.8830.0170.097 CASE140.0000.0000.0020.0000.9820.0100.006YCASE070.0000.0000.0000.0001.0000.0000.000 }CASE150.0000.0000.0020.0000.0010.0690.928 CLUSTERING: CASESANDLABELS:--hCASE09:1CASE08:2CASE10:1CASE13:2CASE04:4CASE03:7CASE05:4ןCASE12:7CASE02:5CASE11:5CASE01:5CASE06:5CASE14:5CASE07:5CASE15:7 MIXINGPROBABILITIES:0.100.130.040.170.370.050.14MEANVECTORFORCLUSTER1:231.38215.3088MEANVECTORFORCLUSTER2:\165.44832.600HMEANVECTORFORCLUSTER3:168.25838.395qMEANVECTORFORCLUSTER4:213.12737.428MEANVECTORFORCLUSTER5:.&207.36847.584|MEANVECTORFORCLUSTER6:193.92441.617MEANVECTORFORCLUSTER7:!0195.25244.486;QCOMMONCOVARIANCEMATRIX(MLE):{300.338-3.939y f-3.939e3.207CLUSTERMEMBERSHIPOFEACH CASE:>CASELABELDATA-CASE09:1257.000e7.000CASE08:2130.00030.000:CASE10:1183.00031.000=CASE13:2193.00035.000bCASE04:4214.00036.000eYCASE03:7145.00037.000i}CASE05:4226.00040.000CASE12:7189.00041.000jCASE02:5226.00046.000nhCASE11:5238.00046.000rCASE01:5262.00046.000CASE06:5202.00048.000~ CASE14:5191.00049.000vCASE07:5136.00050.000zCASE15:7231.00051.0008CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION10.\CLUSTER1HCASE09CASE10qCLUSTER2{CASE08DCASE13H&CLUSTER3CLUSTER4}CASE04MCASE05P0CLUSTER5QCASE02{CASE11TyCASE01XCASE06CASE14-CASE073CLUSTER67CLUSTER7CASE03CASE12 YCASE15 } ................................................................................ K=8CLUSTERS NUMBEROFPARAMETERS=B47 hINITIAL MEANS MEANVECTORFORCLUSTER1:  257.07.0  MEANVECTORFORCLUSTER2:  130.030.0 MEANVECTORFORCLUSTER3: 8 183.031.0 \MEANVECTORFORCLUSTER4: H 193.035.0 MEANVECTORFORCLUSTER5: q 214.036.0 MEANVECTORFORCLUSTER6: 145.037.0 &MEANVECTORFORCLUSTER7:  226.040.0 (MEANVECTORFORCLUSTER8:  189.041.0 0 ITERATION1 Q MINUS2LOGLIKELIHOOD=n656.1 *{ 0AIC=n750.1 -ySCHWARZCRITERION=n783.3 THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE01IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, $HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL %-HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. ׫THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, $HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. @CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: "YCASE091.0000.0000.0000.0000.0000.0000.0000.000 c}CASE080.0001.0000.0000.0000.0000.0000.0000.000 gCASE100.0000.0001.0000.0000.0000.0000.0000.000 CASE130.0000.0000.0001.0000.0000.0000.0000.000 hCASE040.0000.0000.0000.0001.0000.0000.0000.000 lCASE030.0000.0000.0000.0000.0001.0000.0000.000 pCASE050.0000.0000.0000.0000.0000.0001.0000.000 CASE120.0000.0000.0000.0000.0000.0000.0001.000 CASE020.0000.0000.0000.0000.0000.0001.0000.000 tCASE110.0000.0000.0000.0000.0000.0001.0000.000 w8CASE010.1250.1250.1250.1250.1250.1250.1250.125 : \CASE060.0000.0000.0000.0060.0000.0000.0000.994 HCASE140.0000.0000.0000.0000.0000.0000.0001.000 CASE070.1250.1250.1250.1250.1250.1250.1250.125 qCASE150.0000.0000.0000.0000.0000.0001.0000.000 CLUSTERING: ؝ CASESANDLABELS:-- B&CASE09:1CASE08:2CASE10:3CASE13:4CASE04:5CASE03:6CASE05:7 FCASE12:8CASE02:7CASE11:7CASE01:1CASE06:8CASE14:8CASE07:1 CASE15:7  NUMBERSINCLUSTERS:31111143 J0 ITERATION2 NQ MINUS2LOGLIKELIHOOD=n256.5 R{ 0AIC=n350.5 ySCHWARZCRITERION=n383.8 CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: VCASE091.0000.0000.0000.0000.0000.0000.0000.000 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