ŮYMIXPDTACLUSPAC-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 TITLEISqRESIDUALSINREGROFSFLA,ASSESSED,ANDMARKET VALUEON STYLEAND GRADE12/23/1989AT1:30:20NUMBEROFVARIABLES............/3&NUMBEROFOBSERVATIONS(SAMPLESIZE),N..60MINIMUMFOREACHVARIABLE:+-3.05254-20.9687-18.7935MAXIMUMFOREACHVARIABLE:04.2207614.431313.7658  nsert22Q FIRSTFOURDATAPOINTS){ -------------------/y2.13748-20.96870.0811CASE55݌0.12748-16.7687-6.5189CASE06-1.88252-16.1687-5.9189CASE49_--0.34254-14.5561-4.9935CASE44 _DNUMBEROFCLUSTERSTOREPORT........1TO9STATISTICSFOR WHOLE(UNCLUSTERED)SAMPLE:`MEANVECTOR:0.000.000.00'COVARIANCEMATRIX:Yn2.095e1.316e4.437d}n1.31658.56614.917hn4.43714.91732.296 MINUS2LOGLIKELIHOOD=n979.3hNUMBEROFPARAMETERS=J9m 0AIC=n997.3qSCHWARZCRITERION=f1016.2 ................................................................................K=2CLUSTERSuNUMBEROFPARAMETERS=B19x8INITIAL MEANS\MEANVECTORFORCLUSTER1:H2.13748-20.96870.0811MEANVECTORFORCLUSTER2:q-0.472541.9439-2.5935 ITERATION1ĝ MINUS2LOGLIKELIHOOD=f4861.9C&0AIC=f4899.9GSCHWARZCRITERION=f4939.7THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE17IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLK0HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.OQCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:{POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:y1.000.00S1.000.00W1.000.00-1.000.00NUMBERSINCLUSTERS:8522 ITERATION26 MINUS2LOGLIKELIHOOD=n847.1 0AIC=n885.1YSCHWARZCRITERION=n924.9}CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:1.000.00 h0.980.020.940.06 0.980.02 NUMBERSINCLUSTERS:951 ITERATION3 MINUS2LOGLIKELIHOOD=n843.08 0AIC=n881.0\SCHWARZCRITERION=n920.8HCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:q1.000.000.990.010.940.06 &0.980.02MIXINGPROBABILITIES:0.160.84MEANVECTORFORCLUSTER1:<-0.048-10.590-5.317|0MEANVECTORFORCLUSTER2:Qe0.009e2.019e1.014{COMMONCOVARIANCEMATRIX(MLE):$yn1.595e1.702e3.256^n1.70221.079e7.390n3.256e7.39020.572-CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION3.,CLUSTER1?CASE55CASE06CASE49:YCASE44=}CASE40bCASE48fCASE58hCASE27CASE17kCLUSTER2o CASE59CASE46CASE54~8CASE04v\CASE37zHCASE47[CASE52qCASE02CASE50CASE12]&CASE22ACASE08ECASE15ICASE250CASE28}QCASE43M{CASE23QyCASE05CASE45\CASE42U-CASE20YCASE24CASE600CASE184CASE197YCASE10}CASE01CASE56CASE51hCASE57 CASE07CASE38 CASE03CASE32CASE138CASE31\CASE16HCASE30CASE53qCASE33CASE29CASE26&CASE41CASE39CASE09CASE360CASE21(QCASE34{CASE35yCASE11CASE14 d) ................................................................................/-K=3CLUSTERSݫNUMBEROFPARAMETERS=B29INITIAL MEANS_MEANVECTORFORCLUSTER1:2.13748-20.96870.0811YMEANVECTORFORCLUSTER2:}0.49746-1.3561-0.1935@MEANVECTORFORCLUSTER3:-0.892543.7439-2.8935dh ITERATION1h MINUS2LOGLIKELIHOOD=f3622.60AIC=f3680.6 SCHWARZCRITERION=f3741.3mTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE17IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,q$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL8HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.\CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:tHPOSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:x1.000.000.00q1.000.000.001.000.000.001.000.000.00&NUMBERSINCLUSTERS:82824 ITERATION2 MINUS2LOGLIKELIHOOD=n841.6C 0AIC=n899.6F0SCHWARZCRITERION=n960.3QCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:{POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:Ky1.000.000.00O0.990.010.000.950.050.00-0.990.010.00SNUMBERSINCLUSTERS:92724W ITERATION3 MINUS2LOGLIKELIHOOD=n830.3 0AIC=n888.31YSCHWARZCRITERION=n949.15}CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:9POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:1.000.000.00h1.000.000.00 0.930.070.000.990.010.00 MIXINGPROBABILITIES:0.160.450.38MEANVECTORFORCLUSTER1: -0.062-10.531-5.3398MEANVECTORFORCLUSTER2:\e0.152-0.834e1.308HMEANVECTORFORCLUSTER3:-0.153e5.444e0.715qCOMMONCOVARIANCEMATRIX(MLE):n0.792e0.927e1.586n0.927e8.384e3.360&n1.586e3.36010.128CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION3.CLUSTER1 CASE550CASE06QCASE49.{CASE44|yCASE40CASE48CASE58$-CASE27^CASE17CLUSTER2CASE59,CASE46>YCASE54}CASE04CASE37:CASE47=hCASE52bCASE02fCASE50 CASE12CASE22kCASE08n8CASE15r\CASE28HCASE43~CASE23vqCASE05zCASE20[CASE24&CASE18CASE19CASE01]CASE56{0CASE51DQCASE07H{CASE38yCASE32}CLUSTER3MCASE25Q-CASE45CASE42\CASE60UCASE10YCASE57YCASE03}CASE133CASE317CASE16hCASE30CASE53CASE33 CASE29 CASE26CASE418CASE39\CASE09HCASE36CASE21qCASE34CASE35CASE11&CASE14 ................................................................................K=4CLUSTERSNUMBEROFPARAMETERS=B390INITIAL MEANSQMEANVECTORFORCLUSTER1:{2.13748-20.96870.0811yMEANVECTORFORCLUSTER2:(-1.28254-3.7561-7.3935MEANVECTORFORCLUSTER3:--0.472541.9439-2.5935MEANVECTORFORCLUSTER4:)0.577485.43135.4811/ ITERATION1 MINUS2LOGLIKELIHOOD=f2882.5Y0AIC=f2960.5%}SCHWARZCRITERION=f3042.2׼THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE17IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLhHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.@CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:d 1.000.000.000.00h1.000.000.000.001.000.000.000.0081.000.000.000.00l\NUMBERSINCLUSTERS:892122pH ITERATION2 MINUS2LOGLIKELIHOOD=n841.0q 0AIC=n919.0tSCHWARZCRITERION=f1000.7xCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:&POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:1.000.000.000.001.000.000.000.000.990.010.000.0000.980.020.000.00 ŤQNUMBERSINCLUSTERS:7102320B{ ITERATION3Fy MINUS2LOGLIKELIHOOD=n827.9ˌ 0AIC=n905.9SCHWARZCRITERION=n987.5K-CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:OPOSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:1.000.000.000.000.980.020.000.00S0.880.120.000.00VY0.940.060.000.00Z}NUMBERSINCLUSTERS:892221 ITERATION41 MINUS2LOGLIKELIHOOD=n820.05h 0AIC=n898.09SCHWARZCRITERION=n979.6CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:  POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: 1.000.000.000.00 0.980.020.000.00 80.790.210.000.00 \0.940.060.000.00 HNUMBERSINCLUSTERS:982221  ITERATION5 q MINUS2LOGLIKELIHOOD=n816.9  0AIC=n894.9 SCHWARZCRITERION=n976.6 &CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: 1.000.000.000.00 0.990.010.000.00 00.750.250.000.00 Q0.960.040.000.00 {NUMBERSINCLUSTERS:1072023 y ITERATION6  MINUS2LOGLIKELIHOOD=n813.6 . 0AIC=n891.6 |-SCHWARZCRITERION=n973.3 CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: $1.000.000.000.00 ^1.000.000.000.00 Y0.710.290.000.00 }0.980.020.000.00 NUMBERSINCLUSTERS:1161825 > ITERATION7 h MINUS2LOGLIKELIHOOD=n808.1 0AIC=n886.1 :SCHWARZCRITERION=n967.8 = CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: bPOSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: f1.000.000.000.00 i81.000.000.000.00 \0.640.360.000.00 jH1.000.000.000.00 nNUMBERSINCLUSTERS:1171725 rq ITERATION8  MINUS2LOGLIKELIHOOD=n802.9 ~ 0AIC=n880.9 v&SCHWARZCRITERION=n962.6 zCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: [POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: 1.000.000.000.00 01.000.000.000.00 Q0.540.460.000.00 {1.000.000.000.00 {yNUMBERSINCLUSTERS:1171725 D ITERATION9 H MINUS2LOGLIKELIHOOD=n799.6 - 0AIC=n877.6 }SCHWARZCRITERION=n959.3 MCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: QPOSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: 1.000.000.000.00 Y1.000.000.000.00 T}0.430.570.000.00 X1.000.000.000.00 NUMBERSINCLUSTERS:1081725 h ITERATION10 3 MINUS2LOGLIKELIHOOD=n797.0 7 0AIC=n875.0 SCHWARZCRITERION=n956.7 CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:81.000.000.000.00\1.000.000.000.00H0.340.660.000.001.000.000.000.00qNUMBERSINCLUSTERS:1171626 ITERATION11 MINUS2LOGLIKELIHOOD=n795.9& 0AIC=n873.9SCHWARZCRITERION=n955.6CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:01.000.000.000.00Q1.000.000.000.00{0.260.740.000.00y1.000.000.000.00MIXINGPROBABILITIES:0.200.120.240.45MEANVECTORFORCLUSTER1:- e0.127-11.229-3.720(MEANVECTORFORCLUSTER2: -1.733-0.552-8.646MEANVECTORFORCLUSTER3:e0.515e1.612-0.866*YMEANVECTORFORCLUSTER4:-}e0.130e4.195e4.364COMMONCOVARIANCEMATRIX(MLE):n0.519e0.438e0.814%hn0.438e6.894e0.190n0.814e0.190e3.489CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION11. CLUSTER1@CASE55CASE06c8CASE44g\CASE40HCASE48ŵCASE58lqCASE59pCASE54CASE27&CASE37tCASE02xCLUSTER2CASE490CASE46QCASE04{CASE25yCASE42،CASE16BCASE17F-CLUSTER3˫CASE50CASE08KCASE15OCASE43RYCASE23}CASE05CASE45VCASE24ZhCASE60CASE101CASE015 CASE579CASE07CASE38 =8CASE03\CASE39HCLUSTER4 CASE47qCASE52CASE12CASE22&CASE28CASE20CASE18CASE190CASE56QCASE51{CASE32yCASE13CASE31CASE30-CASE53CASE33.CASE29|CASE26CASE41YCASE09!}CASE36;CASE21CASE34hCASE35CASE11>CASE14 ................................................................................K=5CLUSTERS:NUMBEROFPARAMETERS=B49'8INITIAL MEANSa\MEANVECTORFORCLUSTER1:eH2.13748-20.96870.0811iMEANVECTORFORCLUSTER2:q0.40746-5.8561-4.0935jMEANVECTORFORCLUSTER3:n2.10746-0.15611.0065r&MEANVECTORFORCLUSTER4:0.685792.89203.2658~MEANVECTORFORCLUSTER5:v0.707486.03131.5811y0 ITERATION1Q MINUS2LOGLIKELIHOOD=f2654.8{0AIC=f2752.8ySCHWARZCRITERION=f2855.5THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE17IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL{-HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.DCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:HPOSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:1.000.000.000.000.00}1.000.000.000.000.00LY0.230.770.000.000.00P}0.001.000.000.000.00NUMBERSINCLUSTERS:412111419 ITERATION2Th MINUS2LOGLIKELIHOOD=n832.9X 0AIC=n930.9SCHWARZCRITERION=f1033.5 CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:3POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:70.980.020.000.000.0080.780.220.000.000.00\0.050.950.000.000.00H0.410.590.000.000.00NUMBERSINCLUSTERS:313161216q ITERATION3 MINUS2LOGLIKELIHOOD=n812.4 0AIC=n910.4&SCHWARZCRITERION=f1013.0CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:0.950.050.000.000.00 00.610.390.000.000.00Q0.010.990.000.000.00{0.320.680.000.000.00yNUMBERSINCLUSTERS:413171115 ITERATION4 MINUS2LOGLIKELIHOOD=n803.1- 0AIC=n901.1SCHWARZCRITERION=f1003.7CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:(0.940.060.000.000.00&Y0.400.600.000.000.00}0.001.000.000.000.000.180.820.000.000.00*NUMBERSINCLUSTERS:314151315-h ITERATION5 MINUS2LOGLIKELIHOOD=n799.3 0AIC=n897.3% SCHWARZCRITERION=n999.9CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:80.930.070.000.000.00#\0.190.810.000.000.00"H0.001.000.000.000.00c0.060.940.000.000.00gqNUMBERSINCLUSTERS:314141316 ITERATION6ŝ MINUS2LOGLIKELIHOOD=n795.8l& 0AIC=n893.8pSCHWARZCRITERION=n996.4CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:s00.940.060.000.000.00wQ0.010.990.000.000.00{0.001.000.000.000.00y0.001.000.000.000.00NUMBERSINCLUSTERS:314151117 ITERATION7- MINUS2LOGLIKELIHOOD=n787.1ث 0AIC=n885.1BSCHWARZCRITERION=n987.7FCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:Y0.980.020.000.000.00J}0.001.000.000.000.00N0.001.000.000.000.00R0.001.000.000.000.00hNUMBERSINCLUSTERS:314131317 ITERATION8V MINUS2LOGLIKELIHOOD=n778.2Z 0AIC=n876.2SCHWARZCRITERION=n978.81CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:48POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:8\1.000.000.000.000.00H0.001.000.000.000.000.001.000.000.000.00q0.001.000.000.000.00 gNUMBERSINCLUSTERS:314131416 ITERATION9& MINUS2LOGLIKELIHOOD=n773.7 0AIC=n871.7SCHWARZCRITERION=n974.4CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:0POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:Q1.000.000.000.000.00{0.001.000.000.000.00y0.001.000.000.000.000.001.000.000.000.00NUMBERSINCLUSTERS:413121714- ITERATION10 MINUS2LOGLIKELIHOOD=n762.2 0AIC=n860.2SCHWARZCRITERION=n962.9CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:YPOSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:+}1.000.000.000.000.000.001.000.000.000.000.001.000.000.000.00!h0.001.000.000.000.00;NUMBERSINCLUSTERS:413121813ߨ ITERATION11  MINUS2LOGLIKELIHOOD=n758.7 0AIC=n856.7>SCHWARZCRITERION=n959.38CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:\POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:`H1.000.000.000.000.00'0.001.000.000.000.00aq0.001.000.000.000.00e0.001.000.000.000.00iNUMBERSINCLUSTERS:412121814& ITERATION12j MINUS2LOGLIKELIHOOD=n755.8n 0AIC=n853.8rSCHWARZCRITERION=n956.40CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:QPOSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:u{1.000.000.000.000.00yy0.001.000.000.000.00ڌ0.001.000.000.000.000.001.000.000.000.00-NUMBERSINCLUSTERS:411112014 ITERATION13 MINUS2LOGLIKELIHOOD=n747.9{ 0AIC=n845.9DSCHWARZCRITERION=n948.5GYCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP:}POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES:1.000.000.000.000.00L0.001.000.000.000.00Ph0.001.000.000.000.000.001.000.000.000.00MIXINGPROBABILITIES:0.070.190.170.310.26T MEANVECTORFORCLUSTER1:Xe0.539-6.111-6.139MEANVECTORFORCLUSTER2:8-0.594-10.082-4.0672\MEANVECTORFORCLUSTER3:6He0.458-1.476e2.916MEANVECTORFORCLUSTER4:q-0.057e4.094e1.195MEANVECTORFORCLUSTER5:e0.068e5.113e1.236&COMMONCOVARIANCEMATRIX(MLE):n0.471e0.369e1.049n0.369e3.867e1.867n1.049e1.867e6.4500CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION13.QCLUSTER1{CASE55 yCASE58CASE27CASE17-CLUSTER2CASE06CASE49CASE44CASE40YCASE48}CASE59<CASE46&CASE54hCASE04CASE37*CASE02- CLUSTER3CASE47CASE52,8CASE50?\CASE12HCASE22ֵCASE15#qCASE28"CASE43cCASE23g&CASE24CASE07CLUSTER4lCASE25o0CASE05QCASE42{CASE20syCASE60wCASE18CASE10-CASE56CASE51CASE57CASE03CASE32AYCASE31E}CASE16ICASE30CASE33JhCASE26NCASE09RCASE34 CASE14CLUSTER5VCASE08Y8CASE45\CASE190HCASE014CASE388qCASE13CASE53 CASE29 &CASE41 CASE39 CASE36 CASE21 0CASE35 QCASE11 { ................................................................................ yK=6CLUSTERS NUMBEROFPARAMETERS=B59 INITIAL MEANS -MEANVECTORFORCLUSTER1: 2.13748-20.96870.0811 MEANVECTORFORCLUSTER2: -1.87254-6.7561-4.6935 MEANVECTORFORCLUSTER3: Y0.49746-1.3561-0.1935 }MEANVECTORFORCLUSTER4: -0.472541.9439-2.5935 MEANVECTORFORCLUSTER5: +h-0.892543.7439-2.8935 MEANVECTORFORCLUSTER6: -1.814187.2794-0.6597 ! ITERATION1 ; MINUS2LOGLIKELIHOOD=f2818.3 0AIC=f2936.3 8SCHWARZCRITERION=f3059.9 \THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE17IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, _H$HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILL @ HAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. qCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: `POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: '1.000.000.000.000.000.00 a&1.000.000.000.000.000.00 e0.010.990.000.000.000.00 i0.001.000.000.000.000.00 NUMBERSINCLUSTERS:411159615 0 ITERATION2 mQ MINUS2LOGLIKELIHOOD=n822.6 q{ 0AIC=n940.6 ySCHWARZCRITERION=f1064.2 ȌCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: uPOSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: y-0.980.020.000.000.000.00 ګ0.820.180.000.000.000.00 0.001.000.000.000.000.00 0.180.820.000.000.000.00 NUMBERSINCLUSTERS:3121512315 Y ITERATION3 } MINUS2LOGLIKELIHOOD=n795.8 C 0AIC=n913.8 GSCHWARZCRITERION=f1037.4 hCASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: L0.950.050.000.000.000.00 P 0.560.440.000.000.000.00 0.001.000.000.000.000.00 0.050.950.000.000.000.00 S8 NUMBERSINCLUSTERS:4111413315 W\ ITERATION4 H MINUS2LOGLIKELIHOOD=n785.4 0AIC=n903.4 2qSCHWARZCRITERION=f1026.9 6CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: &0.950.050.000.000.000.00 0.340.660.000.000.000.00 0.001.000.000.000.000.00 0.001.000.000.000.000.00 0 NUMBERSINCLUSTERS:3121214316 Q ITERATION5 { MINUS2LOGLIKELIHOOD=n775.3 y 0AIC=n893.3 SCHWARZCRITERION=f1016.8 CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: -POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: 0.970.030.000.000.000.00 0.100.900.000.000.000.00 0.001.000.000.000.000.00 0.001.000.000.000.000.00 Y NUMBERSINCLUSTERS:3121213317 } ITERATION6  MINUS2LOGLIKELIHOOD=n765.5 0AIC=n883.5 hSCHWARZCRITERION=f1007.1 <CASEPOSTERIOR PROBSOFCLUSTERMEMBERSHIP: &POSTERIORPROBOF GROUPMEMBERSHIPFOR1ST4CASES: 0.990.010.000.000.000.00 0.001.000.000.000.000.00 *0.001.000.000.000.000.00 ^80.001.000.000.000.000.00 \MIXINGPROBABILITIES:0.050.200.210.200.060.27 HMEANVECTORFORCLUSTER1: ,e0.310-4.185-7.735 ?qMEANVECTORFORCLUSTER2: -0.428-10.554-4.047 ֝MEANVECTORFORCLUSTER3: #&e0.383-0.175e4.048 "MEANVECTORFORCLUSTER4: c-0.115e1.451-1.995 gMEANVECTORFORCLUSTER5: 0-0.020e3.059-6.345 QMEANVECTORFORCLUSTER6: k{e0.055e7.056e4.221 oyCOMMONCOVARIANCEMATRIX(MLE): n0.348e0.202e0.550 n0.202e2.611e0.234 s-n0.550e0.234e2.209 wCONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION6. CLUSTER1 CASE55 CASE27 YCASE17 }CLUSTER2 ]CASE06 ACASE49 EhCASE44 ICASE40 CASE48 J CASE58 NCASE59 RCASE46 8CASE54 \\CASE04 UHCASE37 YCASE02 qCLUSTER3 0CASE47 4CASE52 8&CASE50 CASE12 CASE22 CASE28 0CASE43 QCASE20 {CASE18 yCASE56 CASE51 CASE38 -CLUSTER4 CASE08 CASE15 CASE23 CASE05 YCASE45 }CASE24 CASE60 CASE10 hCASE01 CASE57 CASE07 + CASE03 CASE16 CLUSTER5 8CASE25 )\CASE42 /HCASE39 ݵCLUSTER6 qCASE19 _CASE32 CASE13 &CASE31 `CASE30 'CASE53 aCASE33 d0CASE29 hQCASE26 {CASE41 yCASE09 mCASE36 qCASE21 -CASE34 ȫCASE35 uCASE11 yCASE14 ................................................................................ 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