Y@headingnumber right$$} MIXPDTIRISES(SCLOVE)000000p.$$h------------------------------------------------------------------------------------------------------------------------@end .CLUSTER ANALYSIS OF CASES BY MIXTURE-MODEL WITH VARYING COVARIANCE MATRICES8\CMS FILE:MIXPDTISOPACHqDEVELOPED AND PROGRAMMED BY:DR.STANLEYL.SCLOVE&.INFORMATION&DECISIONSCIENCES DEPT.M/C294COLLEGEOFBUSINESSADMINISTRATION+UNIVERSITYOFILLINOISATCHICAGOBOX 4348,CHICAGO,IL 606800Q <312/996-2681){/yMIXPDTISOPACVERSION2.215-NOV-89݌COPYRIGHT(C)1989STANLEYL.SCLOVE.ALLRIGHTSRESERVED._-`'FISHER IRIS DATAYd}hNUMBEROFOBSERVATIONS(SAMPLESIZE),N:150h6NUMBEROFVARIABLES USED:4mq MINIMUM FOR EACH VARIABLE:u4.3 2.0 1.0 0.1x8\MAXIMUM FOR EACH VARIABLE:H7.9 4.4 6.9 2.5qĝK=3CLUSTERSC&GFIRST ITERATION USES THE INITIAL PARAMETER ESTIMATES PROVIDED BY THE USER.K0OQ{y ITERATION1SW-CURRENT ESTIMATES OF PARAMETERS:26YMEANS:} 5.1 3.5 1.4 0.27.0 3.2 4.7 1.4 h6.3 3.3 6.0 2.5 MIXINGPROBABILITIES:0.330.330.34  !COVARIANCEMATRICES:8\ POPULATION1H1.000000.500000.500000.50000q0.500001.000000.500000.500000.500000.500001.000000.500000.500000.500000.500001.00000 & POPULATION2<1.000000.500000.500000.50000|00.500001.000000.500000.50000Q0.500000.500001.000000.50000{0.500000.500000.500001.00000$y^ POPULATION3-1.000000.500000.500000.50000,0.500001.000000.500000.50000?0.500000.500001.000000.500000.500000.500000.500001.00000:YMINUS2LOGLIKELIHOOD=286.31226=}bfNUMBEROFPARAMETERS=44hAIC=`374.31226ko SCHWARZCRITERION=`506.78003~8v\POSTERIOR PROBS OF GROUP MEMBERSHIP FOR 1ST 4 CASES:zH1.000.000.00[1.000.000.00q1.000.000.001.000.000.00]&A ITERATION2EI0}QCURRENT ESTIMATES OF PARAMETERS:M{Qy\MEANS:U-Y5.0 3.4 1.5 0.36.2 2.8 4.7 1.506.3 2.9 5.2 1.947Y MIXINGPROBABILITIES:0.340.350.31} !COVARIANCEMATRICES:h POPULATION1 0.121960.094990.020390.011980.094990.14737-0.003720.001930.02039-0.003720.062530.0211380.011980.001930.021130.01797\H POPULATION2q0.422930.131360.436520.164950.131360.110370.146520.073240.436520.146520.619690.25199&0.164950.073240.251990.14337 POPULATION300.435790.102480.420530.14361(Q0.102480.106420.112550.07370{0.420530.112550.559570.22142y0.143610.073700.221420.15832)MINUS2LOGLIKELIHOOD=-666.46191/-ݫNUMBEROFPARAMETERS=44_AIC=-578.46191Y}SCHWARZCRITERION=-445.99390@dhhPOSTERIOR PROBS OF GROUP MEMBERSHIP FOR 1ST 4 CASES:1.000.000.00 1.000.000.00m1.000.000.00q1.000.000.008\tH ITERATION3xqCURRENT ESTIMATES OF PARAMETERS:&CMEANS:F0Q5.0 3.4 1.5 0.2{6.2 2.8 4.6 1.5Ky6.4 2.9 5.3 1.9O MIXINGPROBABILITIES:0.330.360.31-S !COVARIANCEMATRICES:W POPULATION11Y5}0.121760.097220.016030.0101290.097220.140800.011460.009110.016030.011460.029560.00595h0.010120.009110.005950.01088  POPULATION2 0.418590.145620.427780.15817 0.145620.117200.162420.0738980.427780.162420.597470.23841\0.158170.073890.238410.12622H POPULATION3q0.432260.083560.398860.130140.083560.097120.086120.06704&0.398860.086120.508030.189600.130140.067040.189600.14993 S MINUS2LOGLIKELIHOOD=-695.426760Q.{NUMBEROFPARAMETERS=44|yAIC=-607.42676$-SCHWARZCRITERION=-474.95874^,POSTERIOR PROBS OF GROUP MEMBERSHIP FOR 1ST 4 CASES:>Y1.000.000.00}1.000.000.001.000.000.00:1.000.000.00=hbf ITERATION4 kn8CURRENT ESTIMATES OF PARAMETERS:r\H~vqMEANS:z[5.0 3.4 1.5 0.2&6.1 2.8 4.5 1.46.4 2.9 5.4 1.9] MIXINGPROBABILITIES:0.330.350.31{0DQ !COVARIANCEMATRICES:H{y} POPULATION1MQ-0.121760.097230.016030.010120.097230.140800.011460.00911\0.016030.011460.029560.00595U0.010120.009110.005950.01088YY POPULATION2}30.406970.156370.404810.1423870.156370.125920.173950.07382h0.404810.173950.552630.212250.142380.073820.212250.10508 POPULATION3 0.416630.063670.360490.1110980.063670.085320.057410.05801\0.360490.057410.431710.14688H0.111090.058010.146880.13243qMINUS2LOGLIKELIHOOD=-709.09473&NUMBEROFPARAMETERS=44AIC=-621.094730SCHWARZCRITERION=-488.62671Q{y(POSTERIOR PROBS OF GROUP MEMBERSHIP FOR 1ST 4 CASES:1.000.000.00-1.000.000.001.000.000.00)1.000.000.00/Y ITERATION5%}׼hCURRENT ESTIMATES OF PARAMETERS:@d hMEANS:85.0 3.4 1.5 0.2l\6.1 2.8 4.4 1.4pH6.5 2.9 5.4 2.0q MIXINGPROBABILITIES:0.330.350.32tx !COVARIANCEMATRICES:& POPULATION100.121760.097230.016030.01012Q0.097230.140810.011460.00911B{0.016030.011460.029560.00595Fy0.010120.009110.005950.01088ˌ POPULATION2K-O0.398560.160130.383820.128080.160130.131050.177330.072430.383820.177330.507910.18410S0.128080.072430.184100.08562VYZ} POPULATION310.397530.054060.324510.092715h0.054060.078810.042580.0525890.324510.042580.364130.110330.092710.052580.110330.11413  MINUS2LOGLIKELIHOOD=-720.43555  8 \NUMBEROFPARAMETERS=44 H AIC=-632.43555 q SCHWARZCRITERION=-499.96753  &  POSTERIOR PROBS OF GROUP MEMBERSHIP FOR 1ST 4 CASES: 1.000.000.00 01.000.000.00 Q1.000.000.00 {1.000.000.00 y . ITERATION6 |-  $CURRENT ESTIMATES OF PARAMETERS: ^ Y } MEANS: > h5.0 3.4 1.5 0.2 6.1 2.8 4.4 1.4 :6.5 2.9 5.5 2.0 = b MIXINGPROBABILITIES:0.330.350.32 f i8 !COVARIANCEMATRICES: \ jH n POPULATION1 rq 0.121760.097230.016030.01012 ~0.097230.140810.011460.00911 v&0.016030.011460.029560.00595 z0.010120.009110.005950.01088 [  POPULATION2 0 Q0.396340.159880.371830.11986 {0.159880.132320.176430.07105 {y0.371830.176430.475730.16303 D0.119860.071050.163030.07177 H - POPULATION3 } M0.381420.052380.299450.07834 Q0.052380.077740.039170.05047 0.299450.039170.322290.08562 Y0.078340.050470.085620.09894 T} XMINUS2LOGLIKELIHOOD=-728.83496 h 3NUMBEROFPARAMETERS=44 7 AIC=-640.83496 SCHWARZCRITERION=-508.366948\HPOSTERIOR PROBS OF GROUP MEMBERSHIP FOR 1ST 4 CASES:q1.000.000.001.000.000.001.000.000.00&1.000.000.00 ITERATION70Q{yCURRENT ESTIMATES OF PARAMETERS:-(MEANS:5.0 3.4 1.5 0.26.0 2.8 4.4 1.4*Y6.5 2.9 5.5 2.0-} MIXINGPROBABILITIES:0.330.340.32%h !COVARIANCEMATRICES: POPULATION1@0.121760.097230.016030.01012c80.097230.140820.011460.00911g\0.016030.011460.029560.00595H0.010120.009110.005950.01088ŵlq POPULATION2p0.398380.159450.367640.11648 1&0.159450.131610.175360.07015t0.367640.175360.459430.15160x0.116480.070150.151600.064430 POPULATION3Q{0.369020.052130.283690.06838y0.052130.078840.038920.04978،0.283690.038920.300780.07087B0.068380.049780.070870.08807F-˫MINUS2LOGLIKELIHOOD=-733.08887KONUMBEROFPARAMETERS=44RY}AIC=-645.08887VSCHWARZCRITERION=-512.62085Zh15 POSTERIOR PROBS OF GROUP MEMBERSHIP FOR 1ST 4 CASES:91.000.000.001.000.000.0081.000.000.00\1.000.000.00H NUMBERS:505149q MIXINGPROBABILITIES:0.330.340.32MEANVECTORFORCLUSTER1:g5.006003.428001.462000.24600&MEANVECTORFORCLUSTER2:g6.039272.815844.376171.35905MEANVECTORFORCLUSTER3:g6.499472.931905.470712.01379 !COVARIANCEMATRICES:0Q{ POPULATION1y0.121760.097230.016030.010120.097230.140820.011460.00911-0.016030.011460.029560.005950.010120.009110.005950.01088.| POPULATION2Y0.401960.159540.367740.11542!}0.159540.130060.174870.06968;0.367740.174870.453770.146690.115420.069680.146690.06132h POPULATION3> 0.360860.052240.275370.063390.052240.080880.040130.05020:0.275370.040130.292220.06443'80.063390.050200.064430.08248a\eHiCASE, LABEL / DATAqjn11r&5.1 3.5 1.4 0.221~4.9 3.0 1.4 0.2v31y04.7 3.2 1.3 0.2Q41{4.6 3.1 1.5 0.2y515.0 3.6 1.4 0.261{-5.4 3.9 1.7 0.4D71H4.6 3.4 1.4 0.381}5.0 3.4 1.5 0.2LY91P}4.4 2.9 1.4 0.2 1014.9 3.1 1.5 0.1Th 111X5.4 3.7 1.5 0.2 121 4.8 3.4 1.6 0.23 13174.8 3.0 1.4 0.18 141\4.3 3.0 1.1 0.1H 1515.8 4.0 1.2 0.2q 1615.7 4.4 1.5 0.4 171&5.4 3.9 1.3 0.4 1815.1 3.5 1.4 0.3 191 05.7 3.8 1.7 0.3Q 201{5.1 3.8 1.5 0.3y 2115.4 3.4 1.7 0.2 221-5.1 3.7 1.5 0.4 2314.6 3.6 1.0 0.2 241(5.1 3.3 1.7 0.5&Y 251}4.8 3.4 1.9 0.2 261*5.0 3.0 1.6 0.2-h 2715.0 3.4 1.6 0.4 281% 5.2 3.5 1.5 0.2 2915.2 3.4 1.4 0.28 301#\4.7 3.2 1.6 0.2"H 311c4.8 3.1 1.6 0.2gq 3215.4 3.4 1.5 0.4ŝ 331l&5.2 4.1 1.5 0.1p 3415.5 4.2 1.4 0.2 351s04.9 3.1 1.5 0.2wQ 361{5.0 3.2 1.2 0.2y 3715.5 3.5 1.3 0.2 381-4.9 3.6 1.4 0.1ث 391B4.4 3.0 1.3 0.2F 4015.1 3.4 1.5 0.2Y 411J}5.0 3.5 1.3 0.3N 421R4.5 2.3 1.3 0.3h 4314.4 3.2 1.3 0.2V 441Z 5.0 3.5 1.6 0.6 45115.1 3.8 1.9 0.448 4618\4.8 3.0 1.4 0.3H 4715.1 3.8 1.6 0.2q 4814.6 3.2 1.4 0.2 491&5.3 3.7 1.5 0.2 5015.0 3.3 1.4 0.2 51207.0 3.2 4.7 1.4Q 522{6.4 3.2 4.5 1.5y 5326.9 3.1 4.9 1.5 542-5.5 2.3 4.0 1.3 5526.5 2.8 4.6 1.5 5625.7 2.8 4.5 1.3Y 572+}6.3 3.3 4.7 1.6 5824.9 2.4 3.3 1.0!h 592;6.6 2.9 4.6 1.3ߨ 602 5.2 2.7 3.9 1.4 612>5.0 2.0 3.5 1.08 622\5.9 3.0 4.2 1.5`H 632'6.0 2.2 4.0 1.0aq 642e6.1 2.9 4.7 1.4i 652&5.6 2.9 3.6 1.3j 662n6.7 3.1 4.4 1.4r 67205.6 3.0 4.5 1.5Q 682u{5.8 2.7 4.1 1.0yy 692ڌ6.2 2.2 4.5 1.5 702-5.6 2.5 3.9 1.1 7135.9 3.2 4.8 1.8{ 722D6.1 2.8 4.0 1.3GY 732}6.3 2.5 4.9 1.5 742L6.1 2.8 4.7 1.2Ph 7526.4 2.9 4.3 1.3 762T 6.6 3.0 4.4 1.4X 7726.8 2.8 4.8 1.48 7822\6.7 3.0 5.0 1.76H 7926.0 2.9 4.5 1.5q 8025.7 2.6 3.5 1.0 812&5.5 2.4 3.8 1.1 8225.5 2.4 3.7 1.0 83205.8 2.7 3.9 1.2Q 843{6.0 2.7 5.1 1.6 y 8525.4 3.0 4.5 1.5 862-6.0 3.4 4.5 1.6 8726.7 3.1 4.7 1.5 882 gz6.3 2.3 4.4 1.3Y 892}5.6 3.0 4.1 1.3< 902&5.5 2.5 4.0 1.3h 9125.5 2.6 4.4 1.2* 922- 6.1 3.0 4.6 1.4 9325.8 2.6 4.0 1.2,8 942?\5.0 2.3 3.3 1.0H 952ֵ5.6 2.7 4.2 1.3#q 962"5.7 3.0 4.2 1.2c 972g&5.7 2.9 4.2 1.3 9826.2 2.9 4.3 1.3l 992o05.1 2.5 3.0 1.1Q1002{5.7 2.8 4.1 1.3sy1013w6.3 3.3 6.0 2.51023-5.8 2.7 5.1 1.910337.1 3.0 5.9 2.110436.3 2.9 5.6 1.8AY1053E}6.5 3.0 5.8 2.2I10637.6 3.0 6.6 2.1Jh1073N4.9 2.5 4.5 1.7R1083 7.3 2.9 6.3 1.81093V6.7 2.5 5.8 1.8Y81103\7.2 3.6 6.1 2.50H111346.5 3.2 5.1 2.08q11236.4 2.7 5.3 1.9 1133 &6.8 3.0 5.5 2.1 1143 5.7 2.5 5.0 2.0 1153 05.8 2.8 5.1 2.4 Q1163 {6.4 3.2 5.3 2.3 y1173 6.5 3.0 5.5 1.8 1182 -7.7 3.8 6.7 2.2 1193 7.7 2.6 6.9 2.3 1203 6.0 2.2 5.0 1.5 Y1213 }6.9 3.2 5.7 2.3 1223 5.6 2.8 4.9 2.0 +h1233 7.7 2.8 6.7 2.0 1243 ! 6.3 2.7 4.9 1.8 ;1253 6.7 3.3 5.7 2.1 81263 \7.2 3.2 6.0 1.8 _H1273 6.2 2.8 4.8 1.8 q1283 `6.1 3.0 4.9 1.8 '1293 a&6.4 2.8 5.6 2.1 e1303 i7.2 3.0 5.8 1.6 1313 07.4 2.8 6.1 1.9 mQ1322 q{7.9 3.8 6.4 2.0 y1333 Ȍ6.4 2.8 5.6 2.2 u1342 y-6.3 2.8 5.1 1.5 ګ1353 6.1 2.6 5.6 1.4 1363 7.7 3.0 6.1 2.3 Y1373 }6.3 3.4 5.6 2.4 C1383 G6.4 3.1 5.5 1.8 h1393 6.0 3.0 4.8 1.8 L1403 P 6.9 3.1 5.4 2.1 1413 6.7 3.1 5.6 2.4 S81423 W\6.9 3.1 5.1 2.3 H1433 5.8 2.7 5.1 1.9 2q1443 66.8 3.2 5.9 2.3 1453 &6.7 3.3 5.7 2.5 1463 6.7 3.0 5.2 2.3 1473 06.3 2.5 5.0 1.9 Q1483 {6.5 3.0 5.2 2.0 y1493 6.2 3.4 5.4 2.3 1503 -5.9 3.0 5.1 1.8 PROGRAM ENDED NORMALLY.