ŋY} 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:4.315-Dec-89+0(VM/CMS)0 ................................................................................Q){/y݌PROBLEM TITLEISAFIFI/AZEN BLOODPRESSUREDATA(AFFAZNSDDATSRTC2)_-12/21/1989AT0:35:44`'NUMBEROFVARIABLES............/2Yd}NUMBEROFOBSERVATIONS(SAMPLESIZE),N..15hhMINIMUMFOREACHVARIABLE:mq 130.07.0 MAXIMUMFOREACHVARIABLE:ux8 262.051.0\H FIRSTFOURDATAPOINTS -------------------q 257.07.0CASE09 130.030.0CASE08ĝ 183.031.0CASE10C& 193.035.0CASE13GNUMBEROFCLUSTERSTOREPORT........1TO9K0OQ ................................................................................{ySW-STATISTICSFOR WHOLE(UNCLUSTERED)SAMPLE:------------- ------------------------26MEANVECTOR:201.5339.53Y}COVARIANCEMATRIX:  1571.71556-32.81778 h-32.81778119.44889  MINUS2LOGLIKELIHOOD=e267.2 0AIC=n277.2SCHWARZCRITERION=n280.78\ ................................................................................HqK=2CLUSTERS &NUMBEROFPARAMETERS=8<INITIAL MEANS|0Q 257.07.0{ 231.051.0$y^ ITERATION1-MINUS2LOGLIKELIHOOD=n303.0, 0AIC=n319.0?SCHWARZCRITERION=n324.7THEDENOMINATOROFTHEPOSTERIOR PROBSFOR:YCASE08IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,=}HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONbSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.fTHEDENOMINATOROFTHEPOSTERIOR PROBSFORhCASE10IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONkSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.o THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE13IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION~8SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.v\THEDENOMINATOROFTHEPOSTERIOR PROBSFORzHCASE04IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,[HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONqSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE03IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,]&HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONASOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.ETHEDENOMINATOROFTHEPOSTERIOR PROBSFORICASE12IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,0HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION}QSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.M{THEDENOMINATOROFTHEPOSTERIOR PROBSFORQyCASE01IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION\SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.U-THEDENOMINATOROFTHEPOSTERIOR PROBSFORYCASE06IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION 0SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.4THEDENOMINATOROFTHEPOSTERIOR PROBSFOR7YCASE14IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,}HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORhCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. 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THEDENOMINATOROFTHEPOSTERIOR PROBSFOR 0CASE12IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, QHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION {SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. {yTHEDENOMINATOROFTHEPOSTERIOR PROBSFOR DCASE01IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, HHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION -SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. }THEDENOMINATOROFTHEPOSTERIOR PROBSFOR MCASE06IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, QHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. YTHEDENOMINATOROFTHEPOSTERIOR PROBSFOR T}CASE14IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, XHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION ȋSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. hTHEDENOMINATOROFTHEPOSTERIOR PROBSFOR 3CASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, 7HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. I=1PPS:1.0000.0000.000I=2PPS:0.3330.3330.3338I=3PPS:0.3330.3330.333\I=4PPS:0.3330.3330.333HI=5PPS:0.0001.0000.000I=6PPS:0.3330.3330.333qI=7PPS:0.0001.0000.000I=8PPS:0.3330.3330.333I=9PPS:0.0000.0460.954&I=10PPS:0.0000.0001.000I=11PPS:0.3330.3330.333I=12PPS:0.3330.3330.333 iI=13PPS:0.3330.3330.3330I=14PPS:0.3330.3330.333QI=15PPS:0.0000.0001.000{y CLUSTERING:-( CASESANDLABELS:--CASE09:1CASE08:1CASE10:1CASE13:1CASE04:2CASE03:1CASE05:2*YCASE12:1CASE02:3CASE11:3CASE01:1CASE06:1CASE14:1CASE07:1-}CASE15: 3%hNUMBERSINCLUSTERS:1023 ITERATION2 @MINUS2LOGLIKELIHOOD=n269.7 0AIC=n291.7c8SCHWARZCRITERION=n299.5g\HI=1PPS:0.9710.0260.003ŵI=2PPS:0.5370.3740.089lqI=3PPS:0.5050.3490.147pI=4PPS:0.3530.3960.250I=5PPS:0.3120.3760.312&I=6PPS:0.2930.4800.227tI=7PPS:0.1840.3600.456xI=8PPS:0.1720.4200.408I=9PPS:0.0730.3060.6210I=10PPS:0.0700.2840.646QI=11PPS:0.0640.2440.692{I=12PPS:0.0560.3260.618yI=13PPS:0.0490.3330.617،I=14PPS:0.0490.4320.519BI=15PPS:0.0300.2340.736F-˫ CLUSTERING:KORY CASESANDLABELS:--}缟CASE09:1CASE08:1CASE10:1CASE13:2CASE04:2CASE03:2CASE05:3VZhCASE12:2CASE02:3CASE11:3CASE01:3CASE06:3CASE14:3CASE07:31CASE15: 35 9NUMBERSINCLUSTERS:/3488 ITERATION3\HMINUS2LOGLIKELIHOOD=n268.4 0AIC=n290.4qSCHWARZCRITERION=n298.2I=1PPS:1.0000.0000.000&I=2PPS:0.6140.3430.043I=3PPS:0.5920.3040.104I=4PPS:0.3060.4410.253I=5PPS:0.2420.4000.3580I=6PPS:0.1820.6310.187QI=7PPS:0.0790.3610.560{I=8PPS:0.0640.4950.441yI=9PPS:0.0120.2760.713I=10PPS:0.0110.2370.753I=11PPS:0.0090.1700.820-I=12PPS:0.0070.3290.665I=13PPS:0.0050.3530.642.I=14PPS:0.0040.5640.432|I=15PPS:0.0020.1880.810Y!} CLUSTERING:;h CASESANDLABELS:-->CASE09:1CASE08:1CASE10:1CASE13:2CASE04:2CASE03:2CASE05:3 CASE12:2CASE02:3CASE11:3CASE01:3CASE06:3CASE14:3CASE07:2:'8CASE15: 3a\eHNUMBERSINCLUSTERS:/357iq ITERATION4jnMINUS2LOGLIKELIHOOD=n268.0r& 0AIC=n290.0SCHWARZCRITERION=n297.7~vI=1PPS:1.0000.0000.000y0I=2PPS:0.5880.3940.017QI=3PPS:0.5500.3720.078{I=4PPS:0.1490.5930.258yI=5PPS:0.0920.4870.421I=6PPS:0.0550.8240.121I=7PPS:0.0110.3420.646{-I=8PPS:0.0080.5600.431DI=9PPS:0.0000.2110.788HI=10PPS:0.0000.1620.838I=11PPS:0.0000.0910.909}I=12PPS:0.0000.2920.708LYI=13PPS:0.0000.3320.668P}I=14PPS:0.0000.6650.334I=15PPS:0.0000.1170.883ThX CLUSTERING: 3 CASESANDLABELS:--78CASE09:1CASE08:1CASE10:1CASE13:2CASE04:2CASE03:2CASE05:3\HCASE12:2CASE02:3CASE11:3CASE01:3CASE06:3CASE14:3CASE07:2qCASE15: 3NUMBERSINCLUSTERS:/357& MIXINGPROBABILITIES:0.160.360.47MEANVECTORFORCLUSTER1:201.6039521.63886MEANVECTORFORCLUSTER2:182.0196740.35595 0MEANVECTORFORCLUSTER3:216.4698445.09223Q{yCOMMONCOVARIANCEMATRIX(MLE):-889.37952-5.75209-5.7520930.51627( CASE, LABEL/DATA&Y}CASE09:1257.000e7.000*CASE08:1130.00030.000-hCASE10:1183.00031.000CASE13:2193.00035.000CASE04:2214.00036.000% CASE03:2145.00037.000CASE05:3226.00040.000CASE12:2189.00041.0008CASE02:3226.00046.000#\CASE11:3238.00046.000"HCASE01:3262.00046.000cCASE06:3202.00048.000gqCASE14:3191.00049.000CASE07:2136.00050.000ŝCASE15:3231.00051.000l&pCONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION4.RESULTSAREPRINTEDBELOW.s0 lwQNUMBERSINCLUSTERS:/357{NUMBEROFPARAMETERS=11ySCHWARZCRITERION=n297.7 0AIC=n290.0-ثLISTOFCASES,BYCLUSTERBFCLUSTER1YCASE09J}CASE08NCASE10RCLUSTER2hCASE13CASE04VCASE03Z CASE12CASE071CLUSTER348CASE058\CASE02HCASE11CASE01qCASE06CASE14 CASE15& ................................................................................0QK=4CLUSTERS{yNUMBEROFPARAMETERS=14-INITIAL MEANS 257.07.0 214.036.0 238.046.0Y 231.051.0+} ITERATION1!hMINUS2LOGLIKELIHOOD=n197.0; 0AIC=n225.0ߨSCHWARZCRITERION=n234.9 THEDENOMINATOROFTHEPOSTERIOR PROBSFOR>CASE08IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,8HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION\SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.`HTHEDENOMINATOROFTHEPOSTERIOR PROBSFOR'CASE10IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,aqHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONeSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.iTHEDENOMINATOROFTHEPOSTERIOR PROBSFOR&CASE13IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,jHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONnSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.rTHEDENOMINATOROFTHEPOSTERIOR PROBSFOR0CASE03IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,QHAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONu{SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.yyTHEDENOMINATOROFTHEPOSTERIOR PROBSFORڌCASE12IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION-SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE01IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,{HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONDSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.GYTHEDENOMINATOROFTHEPOSTERIOR PROBSFOR}CASE06IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONLȋSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.PhTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE14IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONT SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.XTHEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,8HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION2\SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.6HI=1PPS:1.0000.0000.0000.000I=2PPS:0.2500.2500.2500.250qI=3PPS:0.2500.2500.2500.250I=4PPS:0.2500.2500.2500.250I=5PPS:0.0001.0000.0000.000&I=6PPS:0.2500.2500.2500.250I=7PPS:0.0000.0000.0001.000I=8PPS:0.2500.2500.2500.250I=9PPS:0.0000.0000.0001.0000I=10PPS:0.0000.0001.0000.000QI=11PPS:0.2500.2500.2500.250{I=12PPS:0.2500.2500.2500.250 yI=13PPS:0.2500.2500.2500.250I=14PPS:0.2500.2500.2500.250I=15PPS:0.0000.0000.0001.000- CLUSTERING:Y CASESANDLABELS:--}<CASE09:1CASE08:1CASE10:1CASE13:1CASE04:2CASE03:1CASE05:4&hCASE12:1CASE02:4CASE11:3CASE01:1CASE06:1CASE14:1CASE07:1*CASE15: 4- NUMBERSINCLUSTERS:10113,8 ITERATION2?\HMINUS2LOGLIKELIHOOD=n272.8ֵ 0AIC=n300.8 o#qSCHWARZCRITERION=n310.7"cI=1PPS:0.9980.0010.0000.000g&I=2PPS:0.3870.4490.1110.053I=3PPS:0.4760.2820.1260.116I=4PPS:0.2710.3030.1980.227lI=5PPS:0.2470.2380.2050.310o0I=6PPS:0.1320.4850.2270.156QI=7PPS:0.1060.1870.2390.467{I=8PPS:0.0740.2910.2770.358syI=9PPS:0.0230.1320.2560.589wI=10PPS:0.0230.1090.2380.630I=11PPS:0.0220.0720.2000.705-I=12PPS:0.0130.1650.2910.532I=13PPS:0.0100.1800.3060.504I=14PPS:0.0060.3310.3520.311I=15PPS:0.0060.0830.2400.671AYE} CLUSTERING:IJh CASESANDLABELS:--NRCASE09:1CASE08:2CASE10:1CASE13:2CASE04:4CASE03:2CASE05:4 CASE12:4CASE02:4CASE11:4CASE01:4CASE06:4CASE14:4CASE07:3VY8CASE15: 4\0HNUMBERSINCLUSTERS:/231948q ITERATION3 MINUS2LOGLIKELIHOOD=n270.5 & 0AIC=n298.5 SCHWARZCRITERION=n308.5  I=1PPS:1.0000.0000.0000.000 0I=2PPS:0.1830.7760.0350.005 QI=3PPS:0.4260.4350.0910.048 {I=4PPS:0.0920.4920.2290.187 yI=5PPS:0.0700.2910.2690.370 I=6PPS:0.0100.8090.1390.043 I=7PPS:0.0060.1250.2710.598 -I=8PPS:0.0030.3450.3240.329 I=9PPS:0.0000.0490.2390.713 I=10PPS:0.0000.0290.1980.773 I=11PPS:0.0000.0100.1290.861 I=12PPS:0.0000.0910.3100.599 YI=13PPS:0.0000.1170.3410.542 }I=14PPS:0.0000.4620.3610.177 I=15PPS:0.0000.0170.1850.798 +h CLUSTERING: ! ; CASESANDLABELS:--  8CASE09:1CASE08:2CASE10:2CASE13:2CASE04:4CASE03:2CASE05:4 \ _HCASE12:2CASE02:4CASE11:4CASE01:4CASE06:4CASE14:4CASE07:2 qCASE15: 4 ` 'NUMBERSINCLUSTERS:/1608 a& e ITERATION4 i MINUS2LOGLIKELIHOOD=n262.8 0 0AIC=n290.8 mQSCHWARZCRITERION=n300.7 q{ yI=1PPS:1.0000.0000.0000.000 ȌI=2PPS:0.0000.9980.0020.000 uI=3PPS:0.0070.9400.0430.009 y-I=4PPS:0.0000.7190.1920.088 ګI=5PPS:0.0000.2770.3380.385 I=6PPS:0.0000.9690.0290.002 I=7PPS:0.0000.0340.2710.695 I=8PPS:0.0000.3230.4100.266 YI=9PPS:0.0000.0040.1900.806 }I=10PPS:0.0000.0010.1280.871 CI=11PPS:0.0000.0000.0540.946 GI=12PPS:0.0000.0150.3340.651 hI=13PPS:0.0000.0270.4100.564 I=14PPS:0.0000.4990.4280.073 LI=15PPS:0.0000.0000.1130.887 P   CLUSTERING: S8 W\ H CASESANDLABELS:-- 2qCASE09:1CASE08:2CASE10:2CASE13:2CASE04:4CASE03:2CASE05:4 6 CASE12:3CASE02:4CASE11:4CASE01:4CASE06:4CASE14:4CASE07:2 & CASE15: 4  NUMBERSINCLUSTERS:/1518 0 Q ITERATION5 { yMINUS2LOGLIKELIHOOD=n254.7  0AIC=n282.7 SCHWARZCRITERION=n292.6 - I=1PPS:1.0000.0000.0000.000 I=2PPS:0.0001.0000.0000.000 I=3PPS:0.0000.9920.0080.001 I=4PPS:0.0000.8570.1140.029 YI=5PPS:0.0000.2990.3400.360 }I=6PPS:0.0000.9910.0090.000 I=7PPS:0.0000.0100.2220.769 I=8PPS:0.0000.2510.5490.201 hI=9PPS:0.0000.0000.1330.867 <I=10PPS:0.0000.0000.0670.933 &I=11PPS:0.0000.0000.0150.985 I=12PPS:0.0000.0020.3630.635 I=13PPS:0.0000.0030.5070.490 *I=14PPS:0.0000.2020.7730.025 ^8I=15PPS:0.0000.0000.0620.938 \ H , CLUSTERING: ?q ֝ CASESANDLABELS:-- #& "CASE09:1CASE08:2CASE10:2CASE13:2CASE04:4CASE03:2CASE05:4 c gCASE12:3CASE02:4CASE11:4CASE01:4CASE06:4CASE14:3CASE07:3 0 QCASE15: 4 k{ oyNUMBERSINCLUSTERS:/1437 ITERATION6 s- wMINUS2LOGLIKELIHOOD=n252.9  0AIC=n280.9 SCHWARZCRITERION=n290.8 Ť YI=1PPS:1.0000.0000.0000.000 }I=2PPS:0.0001.0000.0000.000 ]I=3PPS:0.0000.9990.0010.000 AI=4PPS:0.0000.9650.0290.007 EhI=5PPS:0.0000.5890.1410.270 II=6PPS:0.0000.9900.0100.000 I=7PPS:0.0000.0070.1040.889 J I=8PPS:0.0000.1610.6730.165 NI=9PPS:0.0000.0000.0680.932 RI=10PPS:0.0000.0000.0220.978 8I=11PPS:0.0000.0000.0020.998 \\I=12PPS:0.0000.0000.3960.604 UHI=13PPS:0.0000.0000.6400.360 YI=14PPS:0.0000.0020.9950.003 qI=15PPS:0.0000.0000.0290.971 0 4 8& CLUSTERING:    CASESANDLABELS:-- 0 QCASE09:1CASE08:2CASE10:2CASE13:2CASE04:2CASE03:2CASE05:4 { yCASE12:3CASE02:4CASE11:4CASE01:4CASE06:4CASE14:3CASE07:3  CASE15: 4 - NUMBERSINCLUSTERS:/1536   ITERATION7  YMINUS2LOGLIKELIHOOD=n251.4 } 0AIC=n279.4 SCHWARZCRITERION=n289.3  hI=1PPS:1.0000.0000.0000.000 I=2PPS:0.0001.0000.0000.000 I=3PPS:0.0001.0000.0000.000 + I=4PPS:0.0000.9980.0010.001 I=5PPS:0.0000.9290.0040.068 I=6PPS:0.0000.9950.0050.000 8I=7PPS:0.0000.0110.0160.973 )\I=8PPS:0.0000.1770.5620.261 /HI=9PPS:0.0000.0000.0260.974 ݵI=10PPS:0.0000.0000.0060.994 qI=11PPS:0.0000.0000.0001.000 _I=12PPS:0.0000.0000.4080.592 I=13PPS:0.0000.0000.7550.245 &I=14PPS:0.0000.0001.0000.000 `I=15PPS:0.0000.0000.0200.980 ' a d0 CLUSTERING: hQ { y CASESANDLABELS:-- m qCASE09:1CASE08:2CASE10:2CASE13:2CASE04:2CASE03:2CASE05:4 - ȫCASE12:3CASE02:4CASE11:4CASE01:4CASE06:4CASE14:3CASE07:3 u yCASE15: 4 YNUMBERSINCLUSTERS:/1536 } MIXINGPROBABILITIES:0.070.340.190.41 MEANVECTORFORCLUSTER1:257.000007.00000 hMEANVECTORFORCLUSTER2:173.1118334.02866 CMEANVECTORFORCLUSTER3:173.4462047.49422 GMEANVECTORFORCLUSTER4:229.2086545.83386  LCOMMONCOVARIANCEMATRIX(MLE): O8 \ H404.751913.23448 S3.234487.20355 Wq  CASE, LABEL/DATA 2& 6 CASE09:1257.000e7.000 CASE08:2130.00030.0000CASE10:2183.00031.000 QCASE13:2193.00035.000{CASE04:2214.00036.000 yCASE03:2145.00037.000CASE05:4226.00040.000 CASE12:3189.00041.000-CASE02:4226.00046.000CASE11:4238.00046.000CASE01:4262.00046.000 CASE06:4202.00048.000CASE14:3191.00049.000YCASE07:3136.00050.000}CASE15:4231.00051.000CONVERGENCE:NOCASECHANGEDCLUSTERS AFTERITERATION7.RESULTSAREPRINTEDBELOW.h  NUMBERSINCLUSTERS:/1536<NUMBEROFPARAMETERS=14&SCHWARZCRITERION=n289.38\ 0AIC=n279.4$H^LISTOFCASES,BYCLUSTERq,CLUSTER1?&CASE09CLUSTER2CASE08#CASE10=0CASE13bQCASE04f{CASE03yCLUSTER3CASE12kCASE14o-CASE07CLUSTER4CASE05sCASE02wCASE11zYCASE01[}CASE06CASE15h ................................................................................]AE IK=5CLUSTERS}8NUMBEROFPARAMETERS=17M\QHINITIAL MEANS\qU 257.07.0Y 183.031.0& 226.040.00 262.046.04 231.051.080 ITERATION1Q{MINUS2LOGLIKELIHOOD=n906.6y 0AIC=n940.6 SCHWARZCRITERION=n952.7-THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE08IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORYCASE03IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K, i}HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.THEDENOMINATOROFTHEPOSTERIOR PROBSFORhCASE06IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATIONSOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS. THEDENOMINATOROFTHEPOSTERIOR PROBSFORCASE07IS0,SOTHEPOSTERIOR PROBSPP(IC,I),IC=1,...,K,HAVEBEENSET EQUALTO THOSEFROMTHEPRECEDINGITERATION(8SOTHATTHEI-THCASEWILL STILLHAVEWEIGHTINSUCCEEDINGCOMPUTATIONS.\I=1PPS:1.0000.0000.0000.0000.000HI=2PPS:0.2000.2000.2000.2000.200I=3PPS:0.0001.0000.0000.0000.000)qI=4PPS:0.0001.0000.0000.0000.000/I=5PPS:0.0000.0001.0000.0000.000ݝI=6PPS:0.2000.2000.2000.2000.200&I=7PPS:0.0000.0001.0000.0000.000_I=8PPS:0.0001.0000.0000.0000.000I=9PPS:0.0000.0000.0730.0000.927I=10PPS:0.0000.0000.0000.0001.0000I=11PPS:0.0000.0000.0001.0000.000@QI=12PPS:0.2000.2000.2000.2000.200{I=13PPS:0.0001.0000.0000.0000.000dyI=14PPS:0.2000.2000.2000.2000.200hI=15PPS:0.0000.0000.0000.0001.000-m CLUSTERING:q CASESANDLABELS:--tYx}CASE09:1CASE08:1CASE10:2CASE13:2CASE04:3CASE03:1CASE05:3ȟCASE12:2CASE02:5CASE11:5CASE01:4CASE06:1CASE14:2CASE07:1hCASE15: 5٨ NUMBERSINCLUSTERS:/54213CG ITERATION28\MINUS2LOGLIKELIHOOD=n273.7KH 0AIC=n307.7OSCHWARZCRITERION=n319.7qI=1PPS:1.0000.0000.0000.0000.000SI=2PPS:0.0130.9290.0570.0010.000W&I=3PPS:0.0910.6110.2780.0130.006I=4PPS:0.0100.5550.3560.0460.034I=5PPS:0.0100.3190.4510.1180.1022I=6PPS:0.0000.9000.0910.0050.00450I=7PPS:0.0010.1460.3120.2340.3079QI=8PPS:0.0000.5140.2660.0950.124{I=9PPS:0.0000.0540.1090.2520.586yI=10PPS:0.0000.0260.0840.2610.629 I=11PPS:0.0000.0060.0460.2660.682I=12PPS:0.0000.1400.1110.2060.543 -I=13PPS:0.0000.2060.1060.1800.508I=14PPS:0.0000.8460.0530.0270.073 I=15PPS:0.0000.0130.0300.1990.758Y CLUSTERING:} CASESANDLABELS:--hןCASE09:1CASE08:2CASE10:2CASE13:2CASE04:3CASE03:2CASE05:3 CASE12:2CASE02:5CASE11:5CASE01:5CASE06:5CASE14:5CASE07:2 CASE15: 58.\NUMBERSINCLUSTERS:/16206|H ITERATION3q$MINUS2LOGLIKELIHOOD=n256.3^ 0AIC=n290.3&SCHWARZCRITERION=n302.4,I=1PPS:1.0000.0000.0000.0000.000?I=2PPS:0.0000.9960.0040.0000.0000I=3PPS:0.0000.7420.2560.0010.001QI=4PPS:0.0000.5140.4630.0130.010:{I=5PPS:0.0000.1320.7070.0830.078=yI=6PPS:0.0000.9830.0170.0000.000bI=7PPS:0.0000.0190.3180.2770.386fI=8PPS:0.0000.4760.3700.0670.087-I=9PPS:0.0000.0020.0410.2860.671I=10PPS:0.0000.0000.0220.2810.696kI=11PPS:0.0000.0000.0060.2660.729oI=12PPS:0.0000.0230.0650.2590.653I=13PPS:0.0000.0630.0750.2380.624YI=14PPS:0.0000.9780.0120.0030.007~}I=15PPS:0.0000.0000.0040.2110.784vz[h CLUSTERING:  CASESANDLABELS:--]ACASE09:1CASE08:2CASE10:2CASE13:2CASE04:3CASE03:2CASE05:5D8H\CASE12:2CASE02:5CASE11:5CASE01:5CASE06:5CASE14:5CASE07:2H}CASE15: 5MqQNUMBERSINCLUSTERS:/16107\& ITERATION4UYMINUS2LOGLIKELIHOOD=n256.4 0AIC=n290.40SCHWARZCRITERION=n302.53Q7{I=1PPS:1.0000.0000.0000.0000.000yI=2PPS:0.0001.0000.0000.0000.000 ,I=3PPS:0.0000.6530.3470.0000.000I=4PPS:0.0000.2520.7420.0030.003-I=5PPS:0.0000.0120.9130.0370.039 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