                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

                                       Hierarchical Grouping

                                                            Number of Groups
   Rank  Item  Kmeans Stage              1       5        10        15        20        25        30
     1    -1      1      0               . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
     2   -28      2    144               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
     3   -29      3    124               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
     4    -8      4    109               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
     5   -40      5    148               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
     6   -50      6    135               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
     7   -21      7     73               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
     8   -11      8     41               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
     9   -49      9    147               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    10   -19     10     95               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    11   -15     11     27               X X X X X X X X X X X X X X X X X X X X X X X X X X X . . .
    12   -32     12     40               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    13   -37     13     89               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    14    -5     14     12               X X X X X X X X X X X X . . . . . . . . . . . . . . . . . .
    15   -38     15    105               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    16   -47     16    115               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    17   -45     17     67               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    18   -33     18     54               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    19   -16     19     24               X X X X X X X X X X X X X X X X X X X X X X X X . . . . . .
    20   -34     20     75               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    21    -6     21     16               X X X X X X X X X X X X X X X X . . . . . . . . . . . . . .
    22   -20     22    113               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    23   -22     23    106               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    24   -17     24     56               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    25   -23     25     49               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    26   -18     26     37               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    27   -41     27    143               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    28   -24     28     76               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    29   -27     29    117               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    30   -44     30     55               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    31    -2     31      6               X X X X X X . . . . . . . . . . . . . . . . . . . . . . . .
    32   -35     32    134               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    33   -26     33    125               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    34   -10     34     99               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    35   -13     35    141               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    36   -36     36     51               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    37   -46     37     97               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    38   -42     38     26               X X X X X X X X X X X X X X X X X X X X X X X X X X . . . .
    39    -3     39     15               X X X X X X X X X X X X X X X . . . . . . . . . . . . . . .
    40   -48     40    130               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    41    -7     41     87               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    42   -43     42    111               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    43    -9     43     59               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    44   -39     44    138               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    45   -14     45    122               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    46    -4     46     38               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    47   -30     47    140               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    48   -31     48    123               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    49   -12     49     94               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    50   -25     50     58               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
                                       Hierarchical Grouping

                                                            Number of Groups
   Rank  Item  Kmeans Stage              1       5        10        15        20        25        30
    51   -51     51      1               X . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
    52   -53     52     98               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    53   -87     53    116               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    54   -66     54     72               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    55   -76     55    146               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    56   -55     56     52               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    57   -78     57     92               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    58   -59     58     44               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    59   -77     59    107               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    60   -72     60     35               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    61   -75     61     90               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    62   -98     62    120               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    63   -63     63     11               X X X X X X X X X X X . . . . . . . . . . . . . . . . . . .
    64   -69     64     39               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    65   -88     65     80               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    66   -56     66      7               X X X X X X X . . . . . . . . . . . . . . . . . . . . . . .
    67   -91     67    112               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    68   -68     68     45               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    69   -74     69     79               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    70   -64     70     32               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    71   -92     71    139               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    72   -84     72     57               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    73  -134     73     91               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    74   -73     74     13               X X X X X X X X X X X X X . . . . . . . . . . . . . . . . .
    75  -120     75     85               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    76  -109     76     46               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    77  -135     77     23               X X X X X X X X X X X X X X X X X X X X X X X . . . . . . .
    78  -104     78     20               X X X X X X X X X X X X X X X X X X X X . . . . . . . . . .
    79  -117     79    108               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    80  -138     80    127               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    81   -52     81      4               X X X X . . . . . . . . . . . . . . . . . . . . . . . . . .
    82   -57     82    100               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    83   -62     83     62               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    84   -79     84     96               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    85   -86     85     53               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    86   -89     86     25               X X X X X X X X X X X X X X X X X X X X X X X X X . . . . .
    87   -96     87    101               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    88   -95     88     77               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    89   -97     89    128               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    90  -100     90    133               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    91   -60     91      9               X X X X X X X X X . . . . . . . . . . . . . . . . . . . . .
    92   -67     92     50               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    93   -85     93    121               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    94  -107     94     36               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    95   -71     95     18               X X X X X X X X X X X X X X X X X X . . . . . . . . . . . .
    96  -150     96     86               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    97  -128     97     74               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    98  -139     98    145               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
    99  -102     99     31               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   100  -143    100    149               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
                                       Hierarchical Grouping

                                                            Number of Groups
   Rank  Item  Kmeans Stage              1       5        10        15        20        25        30
   101  -114    101     63               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   102  -122    102     78               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   103   -54    103      5               X X X X X . . . . . . . . . . . . . . . . . . . . . . . . .
   104   -90    104    118               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   105   -70    105     42               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   106   -81    106    142               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   107   -82    107    131               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   108   -80    108     65               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   109   -83    109     82               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   110   -93    110    137               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   111   -58    111     28               X X X X X X X X X X X X X X X X X X X X X X X X X X X X . .
   112   -94    112    126               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   113   -61    113     61               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   114   -65    114     21               X X X X X X X X X X X X X X X X X X X X X . . . . . . . . .
   115   -99    115     60               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   116  -101    116      2               X X . . . . . . . . . . . . . . . . . . . . . . . . . . . .
   117  -137    117     71               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   118  -149    118    136               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   119  -115    119     17               X X X X X X X X X X X X X X X X X . . . . . . . . . . . . .
   120  -116    120     33               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   121  -141    121     93               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   122  -145    122    102               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   123  -142    123     29               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X .
   124  -146    124    110               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   125  -103    125      8               X X X X X X X X . . . . . . . . . . . . . . . . . . . . . .
   126  -136    126     47               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   127  -105    127     19               X X X X X X X X X X X X X X X X X X X . . . . . . . . . . .
   128  -129    128    103               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   129  -133    129    119               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   130  -111    130     34               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   131  -148    131    114               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   132  -113    132     66               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   133  -140    133    132               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   134  -110    134     30               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   135  -121    135     48               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   136  -144    136    104               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   137  -125    137     64               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   138  -112    138     14               X X X X X X X X X X X X X X . . . . . . . . . . . . . . . .
   139  -124    139     83               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   140  -127    140    129               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   141  -147    141     84               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   142  -106    142      3               X X X . . . . . . . . . . . . . . . . . . . . . . . . . . .
   143  -131    143     81               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   144  -123    144     70               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   145  -119    145     43               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   146  -108    146     22               X X X X X X X X X X X X X X X X X X X X X X . . . . . . . .
   147  -130    147     88               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   148  -126    148     68               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
   149  -118    149     10               X X X X X X X X X X . . . . . . . . . . . . . . . . . . . .
   150  -132    150     69               X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 


          Sample Size =        150
          Number of Variables =  4
          Number of Types =      3

                         Iteration Number   0

   Log Likelihood of  3 Types in this sample =       .00000000    

                    Characteristics of the Whole Sample


                                  Means
       1           2           3           4
      5.8433      3.0573      3.7580      1.1993

                           Standard Deviations
       1           2           3           4
       .8253       .4344      1.7594       .7597

                                Correlations
       1           2           3           4
      1.0000      -.1176       .8718       .8179
      -.1176      1.0000      -.4284      -.3661
       .8718      -.4284      1.0000       .9629
       .8179      -.3661       .9629      1.0000


                    Within-group Standard Deviations and Correlations

                           Standard Deviations
       1           2           3           4
       .4602       .3258       .4728       .2153

                                Correlations
       1           2           3           4
      1.0000       .4832       .6301       .1866
       .4832      1.0000       .2651       .3323
       .6301       .2651      1.0000       .5724
       .1866       .3323       .5724      1.0000


                              Means
 Type Lambda     1         2         3         4
   1   .3333    5.0060    3.4280    1.4620     .2460
   2   .4333    5.9523    2.7662    4.4692    1.4277
   3   .2333    6.8371    3.0686    5.7171    2.1371
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

 Iteration   1   Log likelihood of  3 types in this sample =       284.17583    
 Iteration   2   Log likelihood of  3 types in this sample =       288.04476    
 Iteration   3   Log likelihood of  3 types in this sample =       290.52363    
 Iteration   4   Log likelihood of  3 types in this sample =       291.99781    
 Iteration   5   Log likelihood of  3 types in this sample =       292.94977    
 Iteration   6   Log likelihood of  3 types in this sample =       293.60716    
 Iteration   7   Log likelihood of  3 types in this sample =       294.06220    
 Iteration   8   Log likelihood of  3 types in this sample =       294.33284    
 Iteration   9   Log likelihood of  3 types in this sample =       294.46401    
 Iteration  10   Log likelihood of  3 types in this sample =       294.52858    
 Iteration  11   Log likelihood of  3 types in this sample =       294.57090    
 Iteration  12   Log likelihood of  3 types in this sample =       294.60802    
 Iteration  13   Log likelihood of  3 types in this sample =       294.64664    
 Iteration  14   Log likelihood of  3 types in this sample =       294.69056    
 Iteration  15   Log likelihood of  3 types in this sample =       294.74217    
 Iteration  16   Log likelihood of  3 types in this sample =       292.72269    
 Iteration  17   Log likelihood of  3 types in this sample =       294.91252    
 Iteration  18   Log likelihood of  3 types in this sample =       294.98639    
 Iteration  19   Log likelihood of  3 types in this sample =       295.00460    
 Iteration  20   Log likelihood of  3 types in this sample =       295.00813    
 Iteration  21   Log likelihood of  3 types in this sample =       294.95116    
 Iteration  22   Log likelihood of  3 types in this sample =       295.00578    
 Iteration  23   Log likelihood of  3 types in this sample =       295.00789    
 Iteration  24   Log likelihood of  3 types in this sample =       295.00864    
 Iteration  25   Log likelihood of  3 types in this sample =       295.00892    
 Iteration  26   Log likelihood of  3 types in this sample =       295.00903    
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 


          Sample Size =        150
          Number of Variables =  4
          Number of Types =      3

                         Iteration Number  27

   Log Likelihood of  3 Types in this sample =       295.00908    

                    Characteristics of the Whole Sample


                                  Means
       1           2           3           4
      5.8433      3.0573      3.7580      1.1993

                           Standard Deviations
       1           2           3           4
       .8253       .4344      1.7594       .7597

                                Correlations
       1           2           3           4
      1.0000      -.1176       .8718       .8179
      -.1176      1.0000      -.4284      -.3661
       .8718      -.4284      1.0000       .9629
       .8179      -.3661       .9629      1.0000


                    Within-group Standard Deviations and Correlations

                           Standard Deviations
       1           2           3           4
       .5137       .3346       .4319       .1993

                                Correlations
       1           2           3           4
      1.0000       .5227       .7646       .3842
       .5227      1.0000       .3537       .4496
       .7646       .3537      1.0000       .4877
       .3842       .4496       .4877      1.0000


                              Means
 Type Lambda     1         2         3         4
   1   .3333    5.0060    3.4280    1.4620     .2460
   2   .3296    5.9423    2.7607    4.2588    1.3193
   3   .3370    6.5746    2.9808    5.5392    2.0250
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 



                         Discriminant Functions
                         1         2
 Variable   1            .9622    -.1517
 Variable   2           1.3820    2.3015
 Variable   3          -2.2273    -.8711
 Variable   4          -2.9115    2.8818

 Eigenvalues of B/W=   31.5080     .3215
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Membership Probabilities
 
                       1     2     3
 
     1        1     1.000  .000  .000
     2        1     1.000  .000  .000
     3        1     1.000  .000  .000
     4        1     1.000  .000  .000
     5        1     1.000  .000  .000
     6        1     1.000  .000  .000
     7        1     1.000  .000  .000
     8        1     1.000  .000  .000
     9        1     1.000  .000  .000
    10        1     1.000  .000  .000
    11        1     1.000  .000  .000
    12        1     1.000  .000  .000
    13        1     1.000  .000  .000
    14        1     1.000  .000  .000
    15        1     1.000  .000  .000
    16        1     1.000  .000  .000
    17        1     1.000  .000  .000
    18        1     1.000  .000  .000
    19        1     1.000  .000  .000
    20        1     1.000  .000  .000
    21        1     1.000  .000  .000
    22        1     1.000  .000  .000
    23        1     1.000  .000  .000
    24        1     1.000  .000  .000
    25        1     1.000  .000  .000
    26        1     1.000  .000  .000
    27        1     1.000  .000  .000
    28        1     1.000  .000  .000
    29        1     1.000  .000  .000
    30        1     1.000  .000  .000
    31        1     1.000  .000  .000
    32        1     1.000  .000  .000
    33        1     1.000  .000  .000
    34        1     1.000  .000  .000
    35        1     1.000  .000  .000
    36        1     1.000  .000  .000
    37        1     1.000  .000  .000
    38        1     1.000  .000  .000
    39        1     1.000  .000  .000
    40        1     1.000  .000  .000
    41        1     1.000  .000  .000
    42        1     1.000  .000  .000
    43        1     1.000  .000  .000
    44        1     1.000  .000  .000
    45        1     1.000  .000  .000
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Membership Probabilities
 
                       1     2     3
 
    46        1     1.000  .000  .000
    47        1     1.000  .000  .000
    48        1     1.000  .000  .000
    49        1     1.000  .000  .000
    50        1     1.000  .000  .000
    51        2      .000 1.000  .000
    52        2      .000  .999  .001
    53        2      .000  .997  .003
    54        2      .000 1.000  .000
    55        2      .000  .997  .003
    56        2      .000  .998  .002
    57        2      .000  .979  .021
    58        2      .000 1.000  .000
    59        2      .000 1.000  .000
    60        2      .000  .999  .001
    61        2      .000 1.000  .000
    62        2      .000  .999  .001
    63        2      .000 1.000  .000
    64        2      .000  .994  .006
    65        2      .000 1.000  .000
    66        2      .000 1.000  .000
    67        2      .000  .967  .033
    68        2      .000 1.000  .000
    69        2      .000  .979  .021
    70        2      .000 1.000  .000
    71        3      .000  .133  .867
    72        2      .000 1.000  .000
    73        2      .000  .868  .132
    74        2      .000 1.000  .000
    75        2      .000 1.000  .000
    76        2      .000 1.000  .000
    77        2      .000  .999  .001
    78        2      .000  .704  .296
    79        2      .000  .991  .009
    80        2      .000 1.000  .000
    81        2      .000 1.000  .000
    82        2      .000 1.000  .000
    83        2      .000 1.000  .000
    84        3      .000  .127  .873
    85        2      .000  .929  .071
    86        2      .000  .988  .012
    87        2      .000  .999  .001
    88        2      .000 1.000  .000
    89        2      .000 1.000  .000
    90        2      .000 1.000  .000
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Membership Probabilities
 
                       1     2     3
 
    91        2      .000  .999  .001
    92        2      .000  .998  .002
    93        2      .000 1.000  .000
    94        2      .000 1.000  .000
    95        2      .000 1.000  .000
    96        2      .000 1.000  .000
    97        2      .000 1.000  .000
    98        2      .000 1.000  .000
    99        2      .000 1.000  .000
   100        2      .000 1.000  .000
   101        3      .000  .000 1.000
   102        3      .000  .001  .999
   103        3      .000  .000 1.000
   104        3      .000  .001  .999
   105        3      .000  .000 1.000
   106        3      .000  .000 1.000
   107        3      .000  .022  .978
   108        3      .000  .000 1.000
   109        3      .000  .000 1.000
   110        3      .000  .000 1.000
   111        3      .000  .008  .992
   112        3      .000  .002  .998
   113        3      .000  .000 1.000
   114        3      .000  .000 1.000
   115        3      .000  .000 1.000
   116        3      .000  .000 1.000
   117        3      .000  .005  .995
   118        3      .000  .000 1.000
   119        3      .000  .000 1.000
   120        3      .000  .302  .698
   121        3      .000  .000 1.000
   122        3      .000  .000 1.000
   123        3      .000  .000 1.000
   124        3      .000  .094  .906
   125        3      .000  .000 1.000
   126        3      .000  .003  .997
   127        3      .000  .162  .838
   128        3      .000  .089  .911
   129        3      .000  .000 1.000
   130        3      .000  .148  .852
   131        3      .000  .000 1.000
   132        3      .000  .000 1.000
   133        3      .000  .000 1.000
   134        2      .000  .746  .254
   135        3      .000  .073  .927
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Membership Probabilities
 
                       1     2     3
 
   136        3      .000  .000 1.000
   137        3      .000  .000 1.000
   138        3      .000  .004  .996
   139        3      .000  .123  .877
   140        3      .000  .001  .999
   141        3      .000  .000 1.000
   142        3      .000  .000 1.000
   143        3      .000  .001  .999
   144        3      .000  .000 1.000
   145        3      .000  .000 1.000
   146        3      .000  .000 1.000
   147        3      .000  .006  .994
   148        3      .000  .002  .998
   149        3      .000  .000 1.000
   150        3      .000  .009  .991
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Discriminant Scores
 
                       1     2
 
     1        1      8.06   .31
     2        1      7.17  -.81
     3        1      7.48  -.24
     4        1      6.80  -.63
     5        1      8.10   .55
     6        1      7.65  1.50
     7        1      7.15   .44
     8        1      7.60   .00
     9        1      6.56  -.97
    10        1      7.38  -.96
    11        1      8.40   .63
    12        1      7.19  -.05
    13        1      7.37 -1.09
    14        1      7.56  -.75
    15        1      9.87  1.52
    16        1      9.07  2.78
    17        1      8.54  1.84
    18        1      7.77   .59
    19        1      8.09   .93
    20        1      7.96  1.20
    21        1      7.54  -.23
    22        1      7.53  1.26
    23        1      8.61   .96
    24        1      6.24   .45
    25        1      6.52  -.31
    26        1      6.83 -1.00
    27        1      6.80   .49
    28        1      7.93   .20
    29        1      8.02   .06
    30        1      6.81  -.50
    31        1      6.77  -.74
    32        1      7.40   .52
    33        1      9.05  1.30
    34        1      9.41  1.86
    35        1      7.09  -.67
    36        1      7.99  -.20
    37        1      8.67   .33
    38        1      8.29   .28
    39        1      6.92  -.65
    40        1      7.70  -.01
    41        1      7.89   .70
    42        1      5.75 -1.99
    43        1      7.19  -.19
    44        1      6.35  1.30
    45        1      6.78  1.14
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Discriminant Scores
 
                       1     2
 
    46        1      6.79  -.51
    47        1      8.03   .82
    48        1      7.16  -.31
    49        1      8.30   .65
    50        1      7.69  -.14
    51        2     -1.37  -.09
    52        2     -1.80   .46
    53        2     -2.34  -.19
    54        2     -2.21 -1.61
    55        2     -2.47  -.56
    56        2     -2.44  -.93
    57        2     -2.49   .82
    58        2      -.22 -1.55
    59        2     -1.66  -.92
    60        2     -2.01  -.27
    61        2     -1.12 -2.66
    62        2     -1.88   .34
    63        2      -.99 -2.78
    64        2     -2.65  -.64
    65        2      -.39   .10
    66        2     -1.13  -.01
    67        2     -2.84   .13
    68        2      -.72 -1.69
    69        2     -3.37 -1.81
    70        2     -1.03 -1.66
    71        3     -3.82  1.14
    72        2      -.94  -.55
    73        2     -3.75 -1.48
    74        2     -2.21 -1.45
    75        2     -1.18  -.63
    76        2     -1.37  -.23
    77        2     -2.34 -1.07
    78        2     -3.48   .10
    79        2     -2.59  -.17
    80        2       .39 -1.38
    81        2     -1.04 -1.78
    82        2      -.53 -1.98
    83        2      -.85  -.94
    84        3     -4.50  -.86
    85        2     -3.03   .16
    86        2     -2.19  1.27
    87        2     -2.09   .01
    88        2     -2.33 -2.08
    89        2     -1.37  -.10
    90        2     -1.93 -1.15
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Discriminant Scores
 
                       1     2
 
    91        2     -2.39 -1.56
    92        2     -2.29  -.33
    93        2     -1.21 -1.25
    94        2      -.26 -1.79
    95        2     -2.01  -.88
    96        2     -1.20  -.49
    97        2     -1.63  -.44
    98        2     -1.37  -.60
    99        2       .49  -.80
   100        2     -1.55  -.58
   101        3     -8.01  2.28
   102        3     -5.56   .03
   103        3     -6.26   .41
   104        3     -5.63  -.30
   105        3     -6.91   .87
   106        3     -7.34  -.28
   107        3     -4.79  -.34
   108        3     -6.23 -1.07
   109        3     -6.24 -1.46
   110        3     -6.95  2.75
   111        3     -4.49  1.37
   112        3     -5.43  -.23
   113        3     -5.66   .80
   114        3     -6.01  -.04
   115        3     -6.88  1.71
   116        3     -5.91  2.07
   117        3     -5.08  -.02
   118        3     -6.65  1.75
   119        3     -9.05  -.90
   120        3     -4.68 -2.21
   121        3     -6.32  1.65
   122        3     -5.46   .76
   123        3     -7.45 -1.13
   124        3     -4.35  -.16
   125        3     -5.79  1.33
   126        3     -5.24  -.10
   127        3     -4.08   .18
   128        3     -4.12   .57
   129        3     -6.54   .31
   130        3     -4.49  -.96
   131        3     -6.11  -.85
   132        3     -5.21  1.40
   133        3     -6.84   .60
   134        2     -3.78  -.96
   135        3     -5.07 -2.12
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Discriminant Scores
 
                       1     2
 
   136        3     -6.71   .72
   137        3     -6.69  2.57
   138        3     -5.03   .23
   139        3     -4.00   .67
   140        3     -5.20  1.10
   141        3     -6.72  1.82
   142        3     -5.12  1.94
   143        3     -5.56   .03
   144        3     -6.86  1.49
   145        3     -6.95  2.49
   146        3     -5.67  1.65
   147        3     -5.14  -.41
   148        3     -4.99   .82
   149        3     -6.05  2.48
   150        3     -4.76   .42
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 


                              Members of Cluster  1
 
    Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#    
 
       1            2            3            4            5            6            7            8            9
      10           11           12           13           14           15           16           17           18
      19           20           21           22           23           24           25           26           27
      28           29           30           31           32           33           34           35           36
      37           38           39           40           41           42           43           44           45
      46           47           48           49           50

                              Members of Cluster  2
 
    Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#    
 
      51           52           53           54           55           56           57           58           59
      60           61           62           63           64           65           66           67           68
      69           70           72           73           74           75           76           77           78
      79           80           81           82           83           85           86           87           88
      89           90           91           92           93           94           95           96           97
      98           99          100          134

                              Members of Cluster  3
 
    Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#    
 
      71           84          101          102          103          104          105          106          107
     108          109          110          111          112          113          114          115          116
     117          118          119          120          121          122          123          124          125
     126          127          128          129          130          131          132          133          135
     136          137          138          139          140          141          142          143          144
     145          146          147          148          149          150
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

     Discriminant Function 2                                                  Number of Types= 3
    .                                                                                                                   
   7.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   6.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   5.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   4.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   3.                     3                                                                               1             
    .                     33  3                                                                                         
    .               3          3                                                                                        
   2.                     3*       3                                                                   1    1           
    .                     3  3  3 3   3                                                            1          1         
    .                           3 3      3        2                                         1 1   1 1     1             
   1.                     33    33  3    3      2                                                   1*  1               
    .                     3  3       3  3          22                                       1 1 1 11 111                
    .                       3    * 3    3  2 22   2        2                                       11*1 1               
   0.                   3     3 3333   3        2*2   22                                     1  1 **1                   
    .                              3 3         22   22*22                                     11                        
    .          3              3       *   2     2 2 2   2      2                             11 *11                     
  -1.                  3     3                   2 2  2                                        1 1                      
    .                        3            2      2     2   2  2                                                         
    .                                       2          2 222                             1                              
  -2.                              3 3           2                                                                      
    .                                                  2                                                                
    .                                                   2                                                               
  -3.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -4.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -5.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -6.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -7.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -8....................................................................................................................
        -10.  -9.  -8.  -7.  -6.  -5.  -4.  -3.  -2.  -1.   0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.
                                             Discriminant Function 1
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 


          Sample Size =        150
          Number of Variables =  4
          Number of Types =      4

                         Iteration Number   0

   Log Likelihood of  4 Types in this sample =       295.00908    

                    Characteristics of the Whole Sample


                                  Means
       1           2           3           4
      5.8433      3.0573      3.7580      1.1993

                           Standard Deviations
       1           2           3           4
       .8253       .4344      1.7594       .7597

                                Correlations
       1           2           3           4
      1.0000      -.1176       .8718       .8179
      -.1176      1.0000      -.4284      -.3661
       .8718      -.4284      1.0000       .9629
       .8179      -.3661       .9629      1.0000


                    Within-group Standard Deviations and Correlations

                           Standard Deviations
       1           2           3           4
       .4170       .3257       .4325       .2098

                                Correlations
       1           2           3           4
      1.0000       .5206       .5540       .3191
       .5206      1.0000       .2778       .3475
       .5540       .2778      1.0000       .7440
       .3191       .3475       .7440      1.0000


                              Means
 Type Lambda     1         2         3         4
   1   .3333    5.0060    3.4280    1.4620     .2460
   2   .4333    5.9523    2.7662    4.4692    1.4277
   3   .1733    6.6000    3.0577    5.4846    2.1962
   4   .0600    7.5222    3.1000    6.3889    1.9667
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

 Iteration   1   Log likelihood of  4 types in this sample =       313.22493    
 Iteration   2   Log likelihood of  4 types in this sample =       318.54290    
 Iteration   3   Log likelihood of  4 types in this sample =       321.66619    
 Iteration   4   Log likelihood of  4 types in this sample =       323.84183    
 Iteration   5   Log likelihood of  4 types in this sample =       325.72923    
 Iteration   6   Log likelihood of  4 types in this sample =       327.26557    
 Iteration   7   Log likelihood of  4 types in this sample =       328.00149    
 Iteration   8   Log likelihood of  4 types in this sample =       328.21422    
 Iteration   9   Log likelihood of  4 types in this sample =       328.27309    
 Iteration  10   Log likelihood of  4 types in this sample =       328.29477    
 Iteration  11   Log likelihood of  4 types in this sample =       328.30461    
 Iteration  12   Log likelihood of  4 types in this sample =       328.30946    
 Iteration  13   Log likelihood of  4 types in this sample =       328.31191    
 Iteration  14   Log likelihood of  4 types in this sample =       328.31316    
 Iteration  15   Log likelihood of  4 types in this sample =       328.31380    
 Iteration  16   Log likelihood of  4 types in this sample =       328.31428    
 Iteration  17   Log likelihood of  4 types in this sample =       328.31447    
 Iteration  18   Log likelihood of  4 types in this sample =       328.31446    
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 


          Sample Size =        150
          Number of Variables =  4
          Number of Types =      4

                         Iteration Number  19

   Log Likelihood of  4 Types in this sample =       328.31448    

                    Characteristics of the Whole Sample


                                  Means
       1           2           3           4
      5.8433      3.0573      3.7580      1.1993

                           Standard Deviations
       1           2           3           4
       .8253       .4344      1.7594       .7597

                                Correlations
       1           2           3           4
      1.0000      -.1176       .8718       .8179
      -.1176      1.0000      -.4284      -.3661
       .8718      -.4284      1.0000       .9629
       .8179      -.3661       .9629      1.0000


                    Within-group Standard Deviations and Correlations

                           Standard Deviations
       1           2           3           4
       .4790       .3333       .3889       .1861

                                Correlations
       1           2           3           4
      1.0000       .5637       .7204       .5602
       .5637      1.0000       .3885       .4517
       .7204       .3885      1.0000       .7337
       .5602       .4517       .7337      1.0000


                              Means
 Type Lambda     1         2         3         4
   1   .3333    5.0060    3.4280    1.4620     .2460
   2   .3354    5.9439    2.7573    4.2685    1.3237
   3   .2304    6.3756    2.9981    5.3384    2.1080
   4   .1010    7.0593    2.9652    6.0367    1.8606
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 



                         Discriminant Functions
                         1         2         3
 Variable   1            .9261    -.4290     .0868
 Variable   2           1.3215     .3555    2.7663
 Variable   3          -2.4235   -2.9620     .7586
 Variable   4          -2.4306    7.4554   -1.0073

 Eigenvalues of B/W=   31.4466    1.5445     .2052
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Membership Probabilities
 
                       1     2     3     4
 
     1        1     1.000  .000  .000  .000
     2        1     1.000  .000  .000  .000
     3        1     1.000  .000  .000  .000
     4        1     1.000  .000  .000  .000
     5        1     1.000  .000  .000  .000
     6        1     1.000  .000  .000  .000
     7        1     1.000  .000  .000  .000
     8        1     1.000  .000  .000  .000
     9        1     1.000  .000  .000  .000
    10        1     1.000  .000  .000  .000
    11        1     1.000  .000  .000  .000
    12        1     1.000  .000  .000  .000
    13        1     1.000  .000  .000  .000
    14        1     1.000  .000  .000  .000
    15        1     1.000  .000  .000  .000
    16        1     1.000  .000  .000  .000
    17        1     1.000  .000  .000  .000
    18        1     1.000  .000  .000  .000
    19        1     1.000  .000  .000  .000
    20        1     1.000  .000  .000  .000
    21        1     1.000  .000  .000  .000
    22        1     1.000  .000  .000  .000
    23        1     1.000  .000  .000  .000
    24        1     1.000  .000  .000  .000
    25        1     1.000  .000  .000  .000
    26        1     1.000  .000  .000  .000
    27        1     1.000  .000  .000  .000
    28        1     1.000  .000  .000  .000
    29        1     1.000  .000  .000  .000
    30        1     1.000  .000  .000  .000
    31        1     1.000  .000  .000  .000
    32        1     1.000  .000  .000  .000
    33        1     1.000  .000  .000  .000
    34        1     1.000  .000  .000  .000
    35        1     1.000  .000  .000  .000
    36        1     1.000  .000  .000  .000
    37        1     1.000  .000  .000  .000
    38        1     1.000  .000  .000  .000
    39        1     1.000  .000  .000  .000
    40        1     1.000  .000  .000  .000
    41        1     1.000  .000  .000  .000
    42        1     1.000  .000  .000  .000
    43        1     1.000  .000  .000  .000
    44        1     1.000  .000  .000  .000
    45        1     1.000  .000  .000  .000
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Membership Probabilities
 
                       1     2     3     4
 
    46        1     1.000  .000  .000  .000
    47        1     1.000  .000  .000  .000
    48        1     1.000  .000  .000  .000
    49        1     1.000  .000  .000  .000
    50        1     1.000  .000  .000  .000
    51        2      .000 1.000  .000  .000
    52        2      .000 1.000  .000  .000
    53        2      .000  .999  .000  .001
    54        2      .000 1.000  .000  .000
    55        2      .000 1.000  .000  .000
    56        2      .000 1.000  .000  .000
    57        2      .000  .995  .005  .000
    58        2      .000 1.000  .000  .000
    59        2      .000 1.000  .000  .000
    60        2      .000  .998  .002  .000
    61        2      .000 1.000  .000  .000
    62        2      .000  .999  .001  .000
    63        2      .000 1.000  .000  .000
    64        2      .000  .999  .000  .001
    65        2      .000 1.000  .000  .000
    66        2      .000 1.000  .000  .000
    67        2      .000  .991  .009  .000
    68        2      .000 1.000  .000  .000
    69        2      .000  .997  .003  .000
    70        2      .000 1.000  .000  .000
    71        3      .000  .079  .921  .000
    72        2      .000 1.000  .000  .000
    73        2      .000  .971  .002  .026
    74        2      .000  .997  .000  .003
    75        2      .000 1.000  .000  .000
    76        2      .000 1.000  .000  .000
    77        2      .000  .999  .000  .001
    78        2      .000  .951  .042  .007
    79        2      .000  .998  .002  .000
    80        2      .000 1.000  .000  .000
    81        2      .000 1.000  .000  .000
    82        2      .000 1.000  .000  .000
    83        2      .000 1.000  .000  .000
    84        2      .000  .500  .077  .424
    85        2      .000  .978  .022  .000
    86        2      .000  .990  .010  .000
    87        2      .000 1.000  .000  .000
    88        2      .000 1.000  .000  .000
    89        2      .000 1.000  .000  .000
    90        2      .000 1.000  .000  .000
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Membership Probabilities
 
                       1     2     3     4
 
    91        2      .000 1.000  .000  .000
    92        2      .000 1.000  .000  .000
    93        2      .000 1.000  .000  .000
    94        2      .000 1.000  .000  .000
    95        2      .000 1.000  .000  .000
    96        2      .000 1.000  .000  .000
    97        2      .000 1.000  .000  .000
    98        2      .000 1.000  .000  .000
    99        2      .000 1.000  .000  .000
   100        2      .000 1.000  .000  .000
   101        3      .000  .000 1.000  .000
   102        3      .000  .001  .999  .000
   103        3      .000  .000  .698  .302
   104        4      .000  .002  .045  .953
   105        3      .000  .000  .998  .002
   106        4      .000  .000  .000 1.000
   107        3      .000  .006  .994  .000
   108        4      .000  .000  .000 1.000
   109        4      .000  .000  .001  .998
   110        3      .000  .000 1.000  .000
   111        3      .000  .003  .997  .000
   112        3      .000  .006  .978  .015
   113        3      .000  .000  .999  .001
   114        3      .000  .000 1.000  .000
   115        3      .000  .000 1.000  .000
   116        3      .000  .000 1.000  .000
   117        4      .000  .026  .127  .847
   118        4      .000  .000  .000 1.000
   119        4      .000  .000  .000 1.000
   120        2      .000  .588  .013  .399
   121        3      .000  .000 1.000  .000
   122        3      .000  .000 1.000  .000
   123        4      .000  .000  .000 1.000
   124        3      .000  .132  .868  .001
   125        3      .000  .000  .986  .014
   126        4      .000  .000  .000 1.000
   127        3      .000  .127  .873  .000
   128        3      .000  .102  .897  .001
   129        3      .000  .000  .998  .002
   130        4      .000  .001  .000  .999
   131        4      .000  .000  .000 1.000
   132        4      .000  .000  .000 1.000
   133        3      .000  .000 1.000  .000
   134        2      .000  .729  .001  .270
   135        4      .000  .000  .000 1.000
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Membership Probabilities
 
                       1     2     3     4
 
   136        3      .000  .000  .966  .034
   137        3      .000  .000 1.000  .000
   138        4      .000  .023  .145  .832
   139        3      .000  .082  .918  .000
   140        3      .000  .000  .999  .000
   141        3      .000  .000 1.000  .000
   142        3      .000  .000 1.000  .000
   143        3      .000  .001  .999  .000
   144        3      .000  .000  .999  .001
   145        3      .000  .000 1.000  .000
   146        3      .000  .000 1.000  .000
   147        3      .000  .005  .995  .000
   148        3      .000  .001  .998  .000
   149        3      .000  .000 1.000  .000
   150        3      .000  .029  .962  .009
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Discriminant Scores
 
                       1     2     3
 
     1        1      8.04   .01   .38
     2        1      7.19  -.08 -1.02
     3        1      7.52   .37  -.56
     4        1      6.81  -.21  -.70
     5        1      8.08   .09   .65
     6        1      7.63   .63  1.54
     7        1      7.20   .93  -.04
     8        1      7.57  -.28   .17
     9        1      6.60   .10 -1.34
    10        1      7.33 -1.09  -.57
    11        1      8.34  -.34  1.03
    12        1      7.15  -.49   .23
    13        1      7.34  -.78  -.93
    14        1      7.61   .32 -1.20
    15        1      9.83   .48  1.67
    16        1      9.06  1.27  2.79
    17        1      8.60  1.81  1.23
    18        1      7.80   .76   .28
    19        1      8.02  -.28  1.39
    20        1      7.95   .57  1.18
    21        1      7.46 -1.04   .36
    22        1      7.58  1.28   .81
    23        1      8.68  1.45   .31
    24        1      6.32  1.29  -.25
    25        1      6.42 -1.38   .45
    26        1      6.80  -.72  -.86
    27        1      6.84   .92   .04
    28        1      7.89  -.33   .46
    29        1      8.00  -.07   .11
    30        1      6.79  -.52  -.33
    31        1      6.75  -.60  -.60
    32        1      7.46  1.04   .00
    33        1      8.93  -.86  2.22
    34        1      9.34   .09  2.35
    35        1      7.08  -.34  -.67
    36        1      8.04   .54  -.61
    37        1      8.65   .13   .34
    38        1      8.23  -.61   .74
    39        1      6.97   .43 -1.14
    40        1      7.67  -.32   .18
    41        1      7.95  1.09   .19
    42        1      5.90   .88 -3.17
    43        1      7.24   .50  -.59
    44        1      6.49  2.44   .12
    45        1      6.74   .13  1.39
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Discriminant Scores
 
                       1     2     3
 
    46        1      6.86   .71 -1.13
    47        1      7.95  -.48  1.36
    48        1      7.18   .12  -.50
    49        1      8.25  -.30  1.02
    50        1      7.68  -.02  -.18
    51        2     -1.51 -1.74  1.01
    52        2     -1.82  -.14   .70
    53        2     -2.46 -1.58   .77
    54        2     -2.15  -.09 -2.04
    55        2     -2.50  -.63  -.32
    56        2     -2.52 -1.48  -.26
    57        2     -2.51   .09  1.02
    58        2      -.15   .04 -2.05
    59        2     -1.79 -2.12   .17
    60        2     -1.90  1.22 -1.14
    61        2     -1.07  -.74 -2.99
    62        2     -1.83   .89  -.12
    63        2     -1.09 -2.57 -1.97
    64        2     -2.74 -1.46   .10
    65        2      -.30  1.27  -.68
    66        2     -1.19  -.76   .48
    67        2     -2.83   .13   .08
    68        2      -.86 -2.61  -.53
    69        2     -3.33  -.41 -2.08
    70        2     -1.06 -1.25 -1.36
    71        3     -3.74  1.42   .58
    72        2      -.93  -.17  -.61
    73        2     -3.81 -1.54  -.94
    74        2     -2.39 -2.99   .02
    75        2     -1.25 -1.15  -.08
    76        2     -1.42  -.75   .19
    77        2     -2.47 -2.09  -.04
    78        2     -3.51  -.33   .35
    79        2     -2.59  -.08  -.16
    80        2       .37  -.82 -1.27
    81        2     -1.05  -.95 -1.72
    82        2      -.56 -1.40 -1.69
    83        2      -.86  -.52  -.89
    84        2     -4.55 -1.18  -.36
    85        2     -3.02   .21   .06
    86        2     -2.17   .84  1.12
    87        2     -2.16  -.90   .60
    88        2     -2.38 -1.62 -1.67
    89        2     -1.37  -.18  -.02
    90        2     -1.89  -.02 -1.49
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Discriminant Scores
 
                       1     2     3
 
    91        2     -2.48 -1.91  -.81
    92        2     -2.37 -1.13   .30
    93        2     -1.23  -.86 -1.09
    94        2      -.19  -.04 -2.31
    95        2     -2.01  -.58  -.78
    96        2     -1.28 -1.26   .16
    97        2     -1.66  -.55  -.21
    98        2     -1.44 -1.06  -.09
    99        2       .65  1.63 -2.08
   100        2     -1.55  -.29  -.57
   101        3     -7.85  2.95  1.10
   102        3     -5.47  1.14  -.68
   103        3     -6.29  -.19   .67
   104        4     -5.71 -1.23   .40
   105        3     -6.85  1.11   .44
   106        4     -7.53 -2.48  1.24
   107        3     -4.63  1.74 -1.57
   108        4     -6.48 -3.73  1.01
   109        4     -6.35 -2.14  -.52
   110        3     -6.86  2.37  2.09
   111        3     -4.40  1.76   .66
   112        3     -5.40   .29  -.48
   113        3     -5.60  1.12   .34
   114        3     -5.83  2.15 -1.42
   115        3     -6.55  4.90  -.91
   116        3     -5.71  3.45   .50
   117        4     -5.15  -.98   .61
   118        4     -6.86 -1.79  3.44
   119        4     -9.17 -2.06   .17
   120        2     -4.73 -1.81 -1.72
   121        3     -6.21  2.05   .85
   122        3     -5.28  2.60  -.67
   123        4     -7.70 -3.63   .87
   124        3     -4.28   .77  -.69
   125        3     -5.78   .68  1.31
   126        4     -5.45 -2.69  1.61
   127        3     -4.00  1.15  -.50
   128        3     -4.07   .97   .12
   129        3     -6.48   .93  -.17
   130        4     -4.74 -3.66  1.10
   131        4     -6.28 -2.47   .49
   132        4     -5.46 -2.47  3.43
   133        3     -6.72  1.67  -.27
   134        2     -3.90 -2.02   .04
   135        4     -5.32 -4.23  -.05
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

   Seq.#   Cluster        Discriminant Scores
 
                       1     2     3
 
   136        3     -6.71   .45   .67
   137        3     -6.51  3.42  1.18
   138        4     -5.11  -.91   .88
   139        3     -3.92  1.30   .04
   140        3     -5.13  1.41   .55
   141        3     -6.53  3.14   .38
   142        3     -4.89  3.79   .12
   143        3     -5.47  1.14  -.68
   144        3     -6.79  1.50   .99
   145        3     -6.75  3.66   .91
   146        3     -5.45  3.55  -.10
   147        3     -5.03  1.15 -1.27
   148        3     -4.91  1.40   .19
   149        3     -5.87  3.31  1.12
   150        3     -4.74   .46   .26
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 


                              Members of Cluster  1
 
    Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#    
 
       1            2            3            4            5            6            7            8            9
      10           11           12           13           14           15           16           17           18
      19           20           21           22           23           24           25           26           27
      28           29           30           31           32           33           34           35           36
      37           38           39           40           41           42           43           44           45
      46           47           48           49           50

                              Members of Cluster  2
 
    Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#    
 
      51           52           53           54           55           56           57           58           59
      60           61           62           63           64           65           66           67           68
      69           70           72           73           74           75           76           77           78
      79           80           81           82           83           84           85           86           87
      88           89           90           91           92           93           94           95           96
      97           98           99          100          120          134

                              Members of Cluster  3
 
    Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#    
 
      71          101          102          103          105          107          110          111          112
     113          114          115          116          121          122          124          125          127
     128          129          133          136          137          139          140          141          142
     143          144          145          146          147          148          149          150

                              Members of Cluster  4
 
    Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#         Seq#    
 
     104          106          108          109          117          118          119          123          126
     130          131          132          135          138
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

     Discriminant Function 2                                                  Number of Types= 4
    .                                                                                                                   
   7.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   6.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   5.                       3                                                                                           
    .                                                                                                                   
    .                                                                                                                   
   4.                               3                                                                                   
    .                      33   33                                                                                      
    .                       3  3                                                                                        
   3.                3                                                                                                  
    .                     3       3                                                          1                          
    .                        3 3                                                                                        
   2.                      3         33                                                                 1               
    .                      3       33     3                     2                                       1               
    .                     3     3* 3     *         2       2                                1     * 1     1             
   1.                       3   3      33         22                                      1    * 1 1                    
    .                      3         3                                                         1 11111        1         
    .                             3          22 2           2                                11 1  1 *  1  1            
   0.                        3                  2 2* 22 2   2                                  11 1*1*1                 
    .                                      22   2 2 2   2                                     * *   1 *                 
    .                              *              2  222      2                                1 1       1              
  -1.                           4     2          2   2*2                                         11                     
    .                                    2     2*2        2                                  1                          
    .                     4          2          2    2                                                                  
  -2.          4             4           2      2   2                                                                   
    .                  4     4   4                     22                                                               
    .                            4               2                                                                      
  -3.                                                                                                                   
    .                 4              4                                                                                  
    .                       4                                                                                           
  -4.                             4                                                                                     
    .                                                                                                                   
    .                                                                                                                   
  -5.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -6.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -7.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -8....................................................................................................................
        -10.  -9.  -8.  -7.  -6.  -5.  -4.  -3.  -2.  -1.   0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.
                                             Discriminant Function 1
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

     Discriminant Function 3                                                  Number of Types= 4
    .                                                                                                                   
   7.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   6.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   5.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   4.                                                                                                                   
    .                     4      4                                                                                      
    .                                                                                                                   
   3.                                                                                                     1             
    .                                                                                                      1            
    .                     3                                                                              1              
   2.                                                                                                         1         
    .                            4                                                            1    111                  
    .                3 4    3  33    4          2 2  2                                              1 * 1               
   1.                 4    3 *     4            2  2                                              1   1                 
    .                     3 34  *  3  3   32      2    2                                     1    1 1*  1               
    .          4                    *3  33   222 *  222                                      1 11 **11  1               
   0.                      33    34             *  222*                                     1    1 1                    
    .                        4    3   2  3           2  *                                     * 1*1  1                  
    .                       3    *3    3 2      2 2     2  2                                   *11                      
  -1.                              3               2  2       2                                *1  1                    
    .                          3     3             2   2                                     1                          
    .                                2           2     *  2                                                             
  -2.                                       2     2         *   2                                                       
    .                                                                                                                   
    .                                                  2                                                                
  -3.                                                                                     1                             
    .                                                                                                                   
    .                                                                                                                   
  -4.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -5.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -6.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -7.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -8....................................................................................................................
        -10.  -9.  -8.  -7.  -6.  -5.  -4.  -3.  -2.  -1.   0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.
                                             Discriminant Function 1
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

     Discriminant Function 3                                                  Number of Types= 4
    .                                                                                                                   
   7.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   6.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   5.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
   4.                                                                                                                   
    .                                           4   4                                                                   
    .                                                                                                                   
   3.                                                              1                                                    
    .                                                        1                                                          
    .                                                   1               3                                               
   2.                                                          1                                                        
    .                                          4          11 1  1                                                       
    .                                     *     4   2      * 2 132    1    3 33                                         
   1.                                     4          2  41  3  3   13  3       3                                        
    .                                           4     4142 2 1    * *3      3 3                                         
    .                                         2   2  222 21*122313**1    1     3                                        
   0.                                  4          2  2 * 22 *    3 1 3        3                                         
    .                                          2  4    2  *2213*  3                                                     
    .                                              2 2   ***    3 *2     3           3                                  
  -1.                                                   *   1 111 32                                                    
    .                                                 2     21       3 3                                                
    .                                           2  222  2                                                               
  -2.                                                     2 *2       2                                                  
    .                                                                                                                   
    .                                                    2                                                              
  -3.                                                            1                                                      
    .                                                                                                                   
    .                                                                                                                   
  -4.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -5.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -6.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -7.                                                                                                                   
    .                                                                                                                   
    .                                                                                                                   
  -8....................................................................................................................
        -10.  -9.  -8.  -7.  -6.  -5.  -4.  -3.  -2.  -1.   0.   1.   2.   3.   4.   5.   6.   7.   8.   9.  10.
                                             Discriminant Function 2
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 

 Logarithm of likelihood ratio of  4 to  3 types=     .33305400E+02
 Pseudo Chi-square with  8 degrees of freedom=     63.72
 "Probability" of null hypothesis=  .00000000
                                          PC-NORMIX  Version 2.0
                         Wolfe Normal Mixture Analysis Procedure (August 1993 Revision)
                               Equal Covariance Matrices Within Groups


 USER=****   JOHN H. WOLFE                         DATE USED=24/07/90    
 TITLE=*** FISHER-KENDALL PROBLEM= 50 FLOWERS FROM EACH OF 3 IRIS TYPES  
 COMMENTS=   IRIS SETOSA,IRIS VERSICOLOR,IRIS VIRGINICA ARE THE TYPES    
 COMMENTS=   SEPAL LENGTH,SEPAL WIDTH,PETAL LENGTH,PETAL WIDTH=VARIABLES 


         Summary of Likelihood Statistics 
  Types    Log Likelihood  Chi-square  DF  "Probability"
    3       295.00908    
    4       328.31448           63.72   8         .0000
