@heading       number right $$
 
 
5PTSKEQ5.OUTMXPDT (Sclove)                                                  p.$$
                                                                                                               11-MAY-91
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@end
 
 
 MIXPDT CLUSPAC - MIXTURE-MODEL CLUSTERING OF CASES
VARYING COVARIANCE MATRICES
 
 Developed and programmed by:
 
     Prof. Stanley L. Sclove, Ph.D.
     Information & Decision Sciences Dept.     M/C 294
     College of Business Administration
     University of Illinois at Chicago
     Box 4348, Chicago, IL  60680-4348
 
     312/996-2681
 
 MIXPDT CLUSPAC VERSION 2.2  15-NOV-89
 
 COPYRIGHT (C) 1989 STANLEY L. SCLOVE.    ALL RIGHTS RESERVED.
 
 
 
 
 DATA FROM FIG. 16.2 OF AFIFI & CLARK (1984,1990) (CMS DSN=5PTSPDT DATA)
 
 
 NUMBER OF OBSERVATIONS (SAMPLE SIZE), N.....  5
 NUMBER OF VARIABLES USED....................  2
 
 
 MINIMUM FOR EACH VARIABLE:
 
  1.0   1.0
 
 MAXIMUM FOR EACH VARIABLE:
 
  8.0   7.0
1
 
 K =  5 CLUSTERS
 
 
 
 FIRST ITERATION USES THE INITIAL PARAMETER ESTIMATES PROVIDED BY THE USER.
 
 
 
 ITERATION  1
 
 
 
 CURRENT ESTIMATES OF PARAMETERS:
 
 
 
      MEANS:
 
  1.0   1.0
  1.0   2.0
  3.0   6.0
  5.0   7.0
  8.0   5.0
 
      MIXING PROBABILITIES:     0.20   0.20   0.20   0.20   0.20
 
      COVARIANCE MATRICES:
 
 
 POPULATION   1
 
       1.00000      0.00000
       0.00000      1.00000
 
 POPULATION   2
 
       1.00000      0.00000
       0.00000      1.00000
 
 POPULATION   3
 
       1.00000      0.00000
       0.00000      1.00000
 
 POPULATION   4
 
       1.00000      0.00000
       0.00000      1.00000
 
 POPULATION   5
 
       1.00000      0.00000
       0.00000      1.00000
 
      MINUS 2 LOG LIKELIHOOD =      13.87658
 
 
 NUMBER OF PARAMETERS =   29
 
 AIC =        71.87657
 
 SCHWARZ CRITERION =        60.55026
 
 
 
 POSTERIOR PROBS OF GROUP MEMBERSHIP FOR 1ST 4 CASES:
  0.62 0.38 0.00 0.00 0.00
  0.38 0.62 0.00 0.00 0.00
  0.00 0.00 0.92 0.08 0.00
  0.00 0.00 0.08 0.92 0.00
 
 
 CLUSTERING:
 
 
 CASES AND LABELS:--
 
    1  1    2  2    3  3    4  4    5  5
 
 
 ITERATION  2
 
 
 
 CURRENT ESTIMATES OF PARAMETERS:
 
 
 
      MEANS:
 
  1.0   1.4
  1.0   1.6
  3.2   6.1
  4.9   6.9
  8.0   5.0
 
      MIXING PROBABILITIES:     0.20   0.20   0.20   0.20   0.20
 
      COVARIANCE MATRICES:
 
 
 POPULATION   1
 
       0.00000      0.00000
       0.00000      0.23501
 
 POPULATION   2
 
       0.00017      0.00037
       0.00037      0.23580
 
 POPULATION   3
 
       0.28027      0.14028
       0.14028      0.07050
 
 POPULATION   4
 
       0.29520      0.13107
       0.13107      0.07563
 
 POPULATION   5
 
       0.01252     -0.00832
      -0.00832      0.00554
 
      MINUS 2 LOG LIKELIHOOD =     -41.71744
 NUMBER OF PARAMETERS =   29
 
 AIC =        16.28256
 SCHWARZ CRITERION =         4.95625
 
 
 POSTERIOR PROBS OF GROUP MEMBERSHIP FOR 1ST 4 CASES:
 
  0.94 0.06 0.00 0.00 0.00
  0.85 0.15 0.00 0.00 0.00
  0.00 0.00 1.00 0.00 0.00
  0.00 0.00 0.02 0.98 0.00
 
 EXPECTED NUMBER OF OBSERVATIONS IN CLUSTER   2 IS LESS THAN 0.5.  STOP.