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PC-NORMIX Version 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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 2.1 Wolfe Normal Mixture Analysis Procedure (January 1995 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