-------------------------------------------- EMMIX - Mixture Analysis(Clustering) of Sample in File test.dat for a specified range of g -------------------------------------------- input file:test.dat output file:test.out -------------------------------------------- Initial fit Tolerance: 9.99999997E-07 Initial fit Max Iterations: 500. FINAL fit Tolerance: 9.99999997E-07 FINAL fit Max Iterations: 500. -------------------------------------------- number of entities: 150 number of variables: 2 number of components: 3 Unrestricted covariance matrices -------------------------------------------- automatic methods used for initial groupings with 10 random start(s), 10 k-mean(s) starts and -------------------------------------------- random seeds = 100 200 300 -------------------------------------------- Results of search for initial Grouping ******* ** ****** *** ******* ******** Hierarchical-based initial groupings ~~~~~~~~~~~~~~~~~~ ~~~~~~~ ~~~~~~~~~ 6 Hierarchical Starts used ------------------------------------------------------------------------ 1 UNSTANDARDIZED GROUP AVERAGE 3 1 1 2 1 1 3 2 1 1 1 1 1 1 1 1 1 1 3 1 3 3 1 3 1 1 1 3 3 2 3 1 1 1 1 1 3 1 1 1 1 1 1 1 2 1 1 1 1 2 1 1 3 1 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ 2 STANDARDIZED GROUP AVERAGE 3 2 3 3 2 2 3 3 2 3 3 3 3 2 2 3 2 3 3 2 3 3 2 3 3 2 3 3 3 3 3 2 2 2 2 2 3 3 3 2 2 2 2 2 2 3 2 2 3 3 2 2 2 3 2 2 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 2 2 2 2 2 2 2 2 3 2 3 2 2 2 3 2 3 2 3 3 3 3 2 2 2 1 1 3 1 1 3 1 3 3 1 3 1 3 1 1 1 3 3 1 3 3 3 1 1 1 2 1 3 1 3 1 3 1 3 1 3 3 1 3 3 2 3 3 1 3 3 3 1 1 1 1 1 1 3 Log Likelihood value from EM algorithm started from this grouping is -615.673 ------------------------------------------------------------------------ 3 UNSTANDARDIZED FARTHEST NEIGHBOUR 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 2 2 1 2 1 2 2 2 2 1 2 2 1 2 2 2 1 2 2 2 1 1 1 2 1 2 1 2 1 2 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 1 2 2 1 1 2 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ 4 STANDARDIZED FARTHEST NEIGHBOUR 1 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 2 3 3 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 2 2 2 1 1 2 1 2 2 1 2 2 1 1 1 2 1 2 2 2 2 2 2 1 2 1 1 2 2 1 2 1 2 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Log Likelihood value from EM algorithm started from this grouping is -603.383 ------------------------------------------------------------------------ 5 UNSTANDARDIZED INCREMENTAL SUM SQ 3 1 1 2 1 1 3 1 1 1 1 1 1 1 1 1 1 1 3 1 3 3 1 3 1 1 1 3 3 2 3 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 3 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ 6 STANDARDIZED INCREMENTAL SUM SQ 2 3 1 1 3 3 1 1 3 1 1 1 1 3 3 1 3 1 1 3 1 2 3 1 1 3 1 1 1 1 1 3 3 3 3 3 1 1 1 3 3 3 3 3 3 1 3 3 1 1 3 3 2 1 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 3 3 1 1 3 1 3 1 1 1 1 3 1 1 3 1 1 1 3 1 1 1 3 3 3 3 3 1 3 1 3 1 1 1 3 1 1 3 1 1 3 1 1 3 1 1 1 1 3 1 1 3 3 1 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ Random Initial Grouping ~~~~~~ ~~~~~~~ ~~~~~~~~ 10 Random Starts used All the data used to form starts Random start Number ( Random seeds ) Like ------------------------------------------------------------------------ random start 1 100 200 300 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ random start 2 29760 20220 13259 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ random start 3 18028 13673 5116 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ random start 4 1466 21556 11019 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ random start 5 408 3269 29429 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ random start 6 24560 6211 1121 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ random start 7 14227 12700 19929 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ random start 8 2349 11076 25990 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ random start 9 14983 4486 19645 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ random start 10 3344 4991 10608 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ K-means Starting allocation 1 ~~~~~~~ ~~~~~~~~ ~~~~~~~~~~~ K-means Start 1 8405 10586 17632 3 2 1 3 1 2 3 1 1 1 1 1 1 1 1 1 1 1 3 2 3 3 2 3 1 2 1 3 3 3 1 1 2 2 1 2 3 1 1 1 1 2 2 2 1 1 1 1 1 3 2 2 1 1 1 1 1 2 1 3 3 1 3 1 1 3 1 2 1 3 3 1 3 2 2 1 2 2 1 3 2 3 1 2 2 3 2 3 2 3 3 3 3 2 2 1 1 1 3 1 1 3 2 3 3 1 1 1 1 1 1 1 1 3 2 3 3 3 2 2 1 1 1 1 1 1 1 3 1 3 1 1 3 1 1 1 2 3 1 1 3 3 3 1 1 1 1 1 1 3 Log Likelihood value from EM algorithm started from this grouping is -588.209 K-means Starting allocation 2 ~~~~~~~ ~~~~~~~~ ~~~~~~~~~~~ K-means Start 2 22557 12543 27675 1 3 2 1 2 3 1 2 2 2 2 2 2 2 2 2 2 2 1 3 2 1 3 2 2 3 2 1 1 2 2 2 3 3 2 3 1 2 2 2 2 3 3 3 3 2 3 3 2 1 3 3 2 2 3 2 2 3 3 1 1 3 2 2 2 1 3 3 2 1 1 2 2 3 3 2 3 3 3 1 3 1 2 3 3 1 3 1 3 1 1 1 1 3 3 3 3 2 1 2 2 2 3 1 2 2 2 2 2 2 2 2 2 1 3 1 2 1 3 3 2 2 2 2 2 2 2 2 2 1 2 2 1 2 2 2 3 2 2 2 1 1 1 2 2 2 2 2 3 2 Log Likelihood value from EM algorithm started from this grouping is -588.209 K-means Starting allocation 3 ~~~~~~~ ~~~~~~~~ ~~~~~~~~~~~ K-means Start 3 19353 13061 4305 3 1 2 2 2 1 3 2 1 2 2 2 2 1 2 2 1 2 3 1 2 3 1 2 2 1 2 3 3 2 2 2 1 1 2 1 2 2 2 2 2 1 1 1 1 2 1 1 2 2 1 1 2 2 1 2 1 1 1 2 3 1 2 2 2 3 1 1 2 3 3 2 2 1 1 2 1 1 1 3 1 3 2 1 1 3 1 3 1 3 3 3 3 1 1 1 1 2 3 2 2 2 1 2 2 2 2 2 2 2 2 2 2 3 1 3 2 3 1 1 2 1 2 2 2 2 2 2 2 2 2 2 3 2 2 2 1 2 2 2 2 2 2 2 1 2 2 2 1 2 Log Likelihood value from EM algorithm started from this grouping is -588.209 K-means Starting allocation 4 ~~~~~~~ ~~~~~~~~ ~~~~~~~~~~~ K-means Start 4 28822 29335 20885 1 2 3 1 3 2 1 3 3 3 3 3 3 3 3 3 3 3 1 2 1 1 2 1 3 2 3 1 1 1 3 3 2 2 3 2 1 3 3 3 3 2 2 2 3 3 3 3 3 1 2 2 3 3 3 3 3 2 3 1 1 3 1 3 3 1 3 2 3 1 1 3 1 2 2 3 2 2 3 1 2 1 3 2 2 1 2 1 2 1 1 1 1 2 2 3 3 3 1 3 3 1 2 1 1 3 3 3 3 3 3 3 3 1 2 1 1 1 2 2 3 3 3 3 3 3 3 1 3 1 3 3 1 3 3 3 2 1 3 3 1 1 1 3 3 3 3 3 3 1 Log Likelihood value from EM algorithm started from this grouping is -588.209 K-means Starting allocation 5 ~~~~~~~ ~~~~~~~~ ~~~~~~~~~~~ K-means Start 5 14829 9716 6618 2 3 1 2 1 3 2 1 1 1 1 1 1 1 1 1 1 1 2 3 2 2 3 2 1 3 1 2 2 2 1 1 3 3 1 3 2 1 1 1 1 3 3 3 3 1 1 1 1 2 3 3 1 1 1 1 1 3 3 2 2 3 2 1 1 2 3 3 1 2 2 1 2 3 3 1 3 3 1 2 3 2 1 3 3 2 3 2 3 2 2 2 2 3 3 1 1 1 2 1 1 1 3 2 2 1 1 1 1 1 1 1 1 2 3 2 2 2 3 3 1 1 1 1 1 1 1 2 1 2 1 1 2 1 1 1 3 2 1 1 2 2 2 1 1 1 1 1 1 2 Log Likelihood value from EM algorithm started from this grouping is -588.209 K-means Starting allocation 6 ~~~~~~~ ~~~~~~~~ ~~~~~~~~~~~ K-means Start 6 6028 6273 3051 1 2 3 1 3 2 1 3 2 3 3 3 3 2 3 3 3 3 1 2 3 1 2 3 3 2 3 1 1 3 3 3 2 2 3 2 3 3 3 3 3 2 2 2 2 3 2 2 3 3 2 2 3 3 2 3 3 2 2 1 1 2 3 3 3 1 2 2 3 1 1 3 3 2 2 3 2 2 2 1 2 1 3 2 2 1 2 1 2 1 1 1 1 2 2 2 2 3 1 3 3 3 2 3 3 3 3 3 3 3 3 3 3 1 2 1 3 1 2 2 3 2 3 3 3 3 3 3 3 3 3 3 1 3 3 3 2 3 3 3 1 1 1 3 3 3 3 3 2 3 Log Likelihood value from EM algorithm started from this grouping is -588.209 K-means Starting allocation 7 ~~~~~~~ ~~~~~~~~ ~~~~~~~~~~~ K-means Start 7 7088 16992 24733 2 3 1 1 1 3 2 1 3 1 1 1 1 3 1 1 3 1 2 3 1 2 3 1 1 3 1 2 2 1 1 1 3 3 1 3 1 1 1 1 1 3 3 3 3 1 3 3 1 1 3 3 1 1 3 1 3 3 3 1 2 3 1 1 1 2 3 3 1 2 2 1 1 3 3 1 3 3 3 2 3 2 1 3 3 2 3 2 3 2 2 2 2 3 3 3 3 1 2 1 1 1 3 1 1 1 1 1 1 1 1 1 1 2 3 2 1 2 3 3 1 3 1 1 1 1 1 1 1 1 1 1 2 1 1 1 3 1 1 1 1 1 1 1 3 1 1 1 3 1 Log Likelihood value from EM algorithm started from this grouping is -588.209 K-means Starting allocation 8 ~~~~~~~ ~~~~~~~~ ~~~~~~~~~~~ K-means Start 8 7772 7502 22715 1 3 2 1 2 3 1 2 2 2 2 2 2 2 2 2 2 2 1 3 1 1 3 1 2 3 2 1 1 1 2 2 3 3 2 3 1 2 2 2 2 3 3 3 2 2 2 2 2 1 3 3 2 2 2 2 2 3 2 1 1 2 1 2 2 1 2 3 2 1 1 2 1 3 3 2 3 3 2 1 3 1 2 3 3 1 3 1 3 1 1 1 1 3 3 2 2 2 1 2 2 1 3 1 1 2 2 2 2 2 2 2 2 1 3 1 1 1 3 3 2 2 2 2 2 2 2 1 2 1 2 2 1 2 2 2 3 1 2 2 1 1 1 2 2 2 2 2 2 1 Log Likelihood value from EM algorithm started from this grouping is -588.209 K-means Starting allocation 9 ~~~~~~~ ~~~~~~~~ ~~~~~~~~~~~ K-means Start 9 27517 21669 27118 3 2 1 1 1 2 3 1 2 1 1 1 1 2 1 1 2 1 3 2 1 3 2 1 1 2 1 3 3 1 1 1 2 2 1 2 1 1 1 1 1 2 2 2 2 1 2 2 1 1 2 2 1 1 2 1 2 2 2 1 3 2 1 1 1 3 2 2 1 3 3 1 1 2 2 1 2 2 2 3 2 3 1 2 2 3 2 3 2 3 3 3 3 2 2 2 2 1 3 1 1 1 2 1 1 1 1 1 1 1 1 1 1 3 2 3 1 3 2 2 1 2 1 1 1 1 1 1 1 1 1 1 3 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 2 1 Log Likelihood value from EM algorithm started from this grouping is -588.209 K-means Starting allocation 10 ~~~~~~~ ~~~~~~~~ ~~~~~~~~~~~ K-means Start 10 9418 16127 23086 1 2 3 1 3 2 1 3 3 3 3 3 3 3 3 3 3 3 1 2 1 1 2 1 3 2 3 1 1 1 3 3 2 2 3 2 1 3 3 3 3 2 2 2 3 3 3 3 3 1 2 2 3 3 3 3 3 2 3 1 1 3 1 3 3 1 3 2 3 1 1 3 1 2 2 3 2 2 3 1 2 1 3 2 2 1 2 1 2 1 1 1 1 2 2 3 3 3 1 3 3 1 2 1 1 3 3 3 3 3 3 3 3 1 2 1 1 1 2 2 3 3 3 3 3 3 3 1 3 1 3 3 1 3 3 3 2 1 3 3 1 1 1 3 3 3 3 3 3 1 Log Likelihood value from EM algorithm started from this grouping is -588.209 ------------------------------------------------------------------------ Final log likelihood values from each initial grouping -588.2 -615.7 -588.2 -603.4 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 -588.2 Best initial grouping (corresponding to the highest value of likelihood found by the Random Start 009 method ------------------------------------------------------------------------ Estimated mean (as a row vector) for component 1 -0.322511 -0.146354 Estimated mean (as a row vector) for component 2 -4.00487 0.306240 Estimated mean (as a row vector) for component 3 3.89576 0.119307 Estimated covariance matrix for component 1 0.903150 0.116845 1.07721 Estimated covariance matrix for component 2 2.14352 0.877520 0.788124 Estimated covariance matrix for component 3 0.669716 -0.239474 3.10711 Mixing proportion from each component 0.396 0.330 0.274 Starting Partition Found 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 1 2 2 2 2 1 2 1 2 2 1 2 2 2 2 2 2 2 2 Determinants of component covariance matrices 0.959226135 0.919316418 2.02353596 After iteration 0 the log likelihood = -588.209 Determinants of component covariance matrices 0.959293105 0.919249442 2.02350358 After iteration 1 the log likelihood = -588.209 Determinants of component covariance matrices 0.9593447 0.919197842 2.02347871 After iteration 2 the log likelihood = -588.209 Determinants of component covariance matrices 0.959384449 0.919158085 2.02345961 After iteration 3 the log likelihood = -588.209 Determinants of component covariance matrices 0.959415072 0.919127453 2.02344492 After iteration 4 the log likelihood = -588.209 Determinants of component covariance matrices 0.959438666 0.919103851 2.02343363 After iteration 5 the log likelihood = -588.209 Determinants of component covariance matrices 0.959456844 0.919085664 2.02342494 After iteration 6 the log likelihood = -588.209 Determinants of component covariance matrices 0.959470849 0.919071651 2.02341826 After iteration 7 the log likelihood = -588.209 Determinants of component covariance matrices 0.95948164 0.919060853 2.02341311 After iteration 8 the log likelihood = -588.209 Determinants of component covariance matrices 0.959489954 0.919052532 2.02340915 After iteration 9 the log likelihood = -588.209 Determinants of component covariance matrices 0.959496361 0.91904612 2.0234061 After iteration 10 the log likelihood = -588.209 Final Log-Likelihood is -588.209 In loop 11 log likelihood is -588.209 Observation | mixture log density|Grp1 Grp2 ..etc...| 1 0.15921E-02 0.5670 0.0128 0.4202 2 0.25834E-01 0.9998 0.0002 0.0000 3 0.51170E-01 0.9984 0.0016 0.0000 4 0.25646E-01 0.1997 0.8003 0.0000 5 0.25302E-01 0.9987 0.0000 0.0013 6 0.69573E-02 0.9998 0.0000 0.0002 7 0.16186E-01 0.9472 0.0528 0.0000 8 0.38589E-01 0.9796 0.0204 0.0000 9 0.53042E-01 1.0000 0.0000 0.0000 10 0.55286E-01 0.9981 0.0019 0.0000 11 0.61175E-01 0.9983 0.0017 0.0000 12 0.43409E-01 0.9710 0.0290 0.0000 13 0.58647E-01 0.9961 0.0039 0.0000 14 0.51259E-01 0.9996 0.0004 0.0000 15 0.29953E-01 0.9993 0.0000 0.0007 16 0.62312E-01 0.9996 0.0004 0.0000 17 0.48666E-01 0.9991 0.0009 0.0000 18 0.59785E-01 0.9987 0.0013 0.0000 19 0.12011E-01 0.9893 0.0085 0.0022 20 0.28392E-01 1.0000 0.0000 0.0000 21 0.54925E-02 0.8163 0.0001 0.1836 22 0.20012E-02 0.8162 0.1813 0.0025 23 0.40185E-02 0.9924 0.0000 0.0076 24 0.14350E-01 0.9913 0.0003 0.0084 25 0.48630E-01 0.9820 0.0180 0.0000 26 0.10266E-01 1.0000 0.0000 0.0000 27 0.62615E-01 0.9988 0.0012 0.0000 28 0.21139E-01 0.9121 0.0879 0.0000 29 0.17203E-01 0.9243 0.0756 0.0000 30 0.27725E-01 0.7469 0.2531 0.0000 31 0.33788E-01 0.9994 0.0003 0.0003 32 0.54394E-01 1.0000 0.0000 0.0000 33 0.28227E-01 0.9999 0.0000 0.0001 34 0.36851E-01 1.0000 0.0000 0.0000 35 0.57563E-01 0.9999 0.0000 0.0000 36 0.98162E-03 0.9729 0.0000 0.0271 37 0.29346E-01 0.9960 0.0039 0.0001 38 0.40511E-01 0.9557 0.0443 0.0000 39 0.57567E-01 0.9960 0.0040 0.0000 40 0.56217E-01 1.0000 0.0000 0.0000 41 0.61408E-01 0.9999 0.0001 0.0000 42 0.46348E-01 1.0000 0.0000 0.0000 43 0.29679E-01 0.9999 0.0001 0.0000 44 0.14600E-01 1.0000 0.0000 0.0000 45 0.13720E-01 0.9880 0.0120 0.0000 46 0.44318E-01 0.9986 0.0014 0.0000 47 0.56730E-01 1.0000 0.0000 0.0000 48 0.31276E-01 0.9998 0.0000 0.0002 49 0.51104E-01 0.9873 0.0127 0.0000 50 0.24280E-01 0.5614 0.4386 0.0000 51 0.39608E-01 0.9999 0.0001 0.0000 52 0.50654E-02 0.9999 0.0000 0.0001 53 0.50495E-02 0.5674 0.0000 0.4326 54 0.54030E-01 0.9992 0.0008 0.0000 55 0.44605E-01 0.9996 0.0004 0.0000 56 0.28472E-01 0.9889 0.0111 0.0000 57 0.29187E-01 0.0000 0.0000 1.0000 58 0.10157E-01 0.0000 0.0000 1.0000 59 0.22412E-01 0.0007 0.0000 0.9993 60 0.26102E-01 0.0000 0.0000 1.0000 61 0.41295E-02 0.0001 0.0001 0.9998 62 0.27654E-01 0.0000 0.0000 1.0000 63 0.23800E-01 0.0014 0.0000 0.9986 64 0.20309E-01 0.0000 0.0000 1.0000 65 0.25621E-01 0.0010 0.0000 0.9990 66 0.19906E-02 0.0000 0.0000 1.0000 67 0.13174E-01 0.0000 0.0000 1.0000 68 0.23684E-01 0.0001 0.0000 0.9999 69 0.26904E-01 0.0008 0.0000 0.9992 70 0.15381E-01 0.0017 0.0000 0.9983 71 0.15686E-01 0.0005 0.0000 0.9995 72 0.28387E-01 0.0000 0.0000 1.0000 73 0.17704E-01 0.0000 0.0000 1.0000 74 0.22684E-01 0.0000 0.0000 1.0000 75 0.65426E-03 0.0000 0.0000 1.0000 76 0.77897E-02 0.0000 0.0000 1.0000 77 0.17192E-01 0.0000 0.0000 1.0000 78 0.53818E-02 0.0046 0.0000 0.9954 79 0.20259E-01 0.0018 0.0000 0.9982 80 0.10492E-01 0.0000 0.0000 1.0000 81 0.20993E-01 0.0000 0.0000 1.0000 82 0.11237E-01 0.0003 0.0000 0.9997 83 0.20636E-01 0.0037 0.0000 0.9963 84 0.27053E-02 0.0000 0.0000 1.0000 85 0.23358E-01 0.0001 0.0000 0.9999 86 0.11759E-01 0.0095 0.0000 0.9905 87 0.11058E-01 0.0041 0.0000 0.9959 88 0.10384E-01 0.0000 0.0000 1.0000 89 0.19908E-01 0.0003 0.0000 0.9997 90 0.11156E-01 0.0000 0.0000 1.0000 91 0.27995E-02 0.0000 0.0000 0.9999 92 0.26000E-02 0.0000 0.0000 1.0000 93 0.10976E-01 0.0033 0.0000 0.9966 94 0.60977E-02 0.0000 0.0000 1.0000 95 0.12618E-01 0.0000 0.0000 1.0000 96 0.26677E-01 0.0000 0.0000 1.0000 97 0.23910E-01 0.0001 0.9999 0.0000 98 0.12649E-01 0.0000 1.0000 0.0000 99 0.14340E-01 0.0014 0.9986 0.0000 100 0.54402E-01 0.0009 0.9991 0.0000 101 0.34584E-01 0.0000 1.0000 0.0000 102 0.36001E-01 0.0492 0.9508 0.0000 103 0.43454E-03 0.0000 1.0000 0.0000 104 0.36375E-01 0.0106 0.9894 0.0000 105 0.44320E-01 0.0053 0.9947 0.0000 106 0.43891E-01 0.0051 0.9949 0.0000 107 0.48880E-01 0.0026 0.9974 0.0000 108 0.48692E-02 0.0000 1.0000 0.0000 109 0.18489E-01 0.6923 0.3077 0.0000 110 0.42221E-01 0.0059 0.9941 0.0000 111 0.37947E-01 0.0000 1.0000 0.0000 112 0.39443E-01 0.0183 0.9817 0.0000 113 0.32219E-01 0.0773 0.9227 0.0000 114 0.14021E-01 0.1400 0.8600 0.0000 115 0.15709E-01 0.0000 1.0000 0.0000 116 0.12267E-01 0.0005 0.9995 0.0000 117 0.17909E-01 0.0000 1.0000 0.0000 118 0.19636E-02 0.0055 0.9945 0.0000 119 0.10811E-01 0.0001 0.9999 0.0000 120 0.49101E-02 0.0000 1.0000 0.0000 121 0.48692E-01 0.0000 1.0000 0.0000 122 0.65220E-02 0.6624 0.3376 0.0000 123 0.45646E-01 0.0000 1.0000 0.0000 124 0.50404E-01 0.0019 0.9981 0.0000 125 0.31292E-01 0.0000 1.0000 0.0000 126 0.36518E-01 0.9833 0.0167 0.0000 127 0.47080E-02 0.0000 1.0000 0.0000 128 0.37758E-01 0.0304 0.9696 0.0000 129 0.43972E-01 0.0094 0.9906 0.0000 130 0.31094E-01 0.0016 0.9984 0.0000 131 0.18499E-01 0.0195 0.9805 0.0000 132 0.20004E-01 0.5387 0.4613 0.0000 133 0.24040E-01 0.0527 0.9473 0.0000 134 0.23010E-01 0.0000 1.0000 0.0000 135 0.26182E-01 0.1465 0.8535 0.0000 136 0.27051E-01 0.1349 0.8651 0.0000 137 0.14499E-01 0.9999 0.0001 0.0000 138 0.39906E-01 0.0004 0.9996 0.0000 139 0.54592E-01 0.9934 0.0066 0.0000 140 0.28520E-01 0.0000 1.0000 0.0000 141 0.34335E-01 0.0166 0.9834 0.0000 142 0.26758E-01 0.8556 0.1444 0.0000 143 0.29468E-01 0.0679 0.9321 0.0000 144 0.44018E-01 0.0041 0.9959 0.0000 145 0.11818E-01 0.0000 1.0000 0.0000 146 0.52345E-01 0.0001 0.9999 0.0000 147 0.49687E-01 0.0001 0.9999 0.0000 148 0.46386E-01 0.0001 0.9999 0.0000 149 0.21728E-01 0.0002 0.9998 0.0000 150 0.20923E-01 0.0000 1.0000 0.0000 Implied grouping of the entities into 3 groups 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 1 2 2 2 2 2 1 2 2 2 2 1 2 1 2 2 1 2 2 2 2 2 2 2 2 Number assigned to each component 62 48 40 Estimate of mixing proportion for each component 0.396 0.330 0.274 Estimates of correct allocation rates for each component 0.982 0.948 0.974 Estimate of overall correct allocation rate 0.969 Estimated mean (as a row vector) for each component -0.32260 -0.14627 -4.0051 0.30619 3.8958 0.11930 Estimated covariance matrix for component 1 0.903353 0.116794 1.07725 Estimated covariance matrix for component 2 2.14302 0.877442 0.788118 Estimated covariance matrix for component 3 0.669668 -0.239462 3.10713 Criteria for this Clustering are AIC BIC AWE 1210.41781 1261.59861 1380.77942