PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   
PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   
PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   
PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   
PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   PROFIT   VERSION 3.20   



                                                                     ORIGINATOR:  J. DOUGLAS CARROLL
                                                                                     AND J-J. CHANG,
                                                                                  BELL LABORATORIES,
                                                                                  MURRAY HILL,
                                                                                  NEW JERSEY 07974,
                                                                                  U.S.A.



            +-------------------------------------------------------------------------------------------+
            |                                                                                           |
            |                                  M  D  S  (X)  PROGRAMS                                   |
            |                                                                                           |
            |     AN INTEGRATED SERIES OF MULTIDIMENSIONAL SCALING PROGRAMS WITH A COMMON COMMAND       |
            |     LANGUAGE.                                                                             |
            |                                                                                           |
            |     PROGRAMS AND SUPPORTING DOCUMENTATION       OTHER ENQUIRIES SHOULD                    |
            |     ARE DISTRIBUTED FROM                        BE ADDRESSED TO                           |
            |                                                                                           |
            |     MDS(X) PROJECT,                             MDS(X) PROJECT,                           |
            |     PROGRAM LIBRARY UNIT,                       SOCIOLOGICAL RESEARCH UNIT,               |
            |     UNIVERSITY OF EDINBURGH,                    UNIVERSITY COLLEGE,                       |
            |     18 BUCCLEUCH PLACE,                         P.O. BOX 78,                              |
            |     EDINBURGH EH8 9LN,                          CARDIFF CF1 1XL,                          |
            |     U.K.                                        U.K.                                      |
            |                                                                                           |
            |     USERS ARE EXPECTED TO CITE THE PROGRAM ORIGINATOR AND THE MDS(X) SERIES WHEN          |
            |     PUBLISHING RESULTS.                                                                   |
            |                                                                                           |
            +-------------------------------------------------------------------------------------------+


            1.     RUN NAME       PROFIT TEST DATA.                                                
            2.     TASK NAME      ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
            3.     PRINT DATA      YES                                                             
            4.     # OF SUBJECTS  4                                                                
            5.     # OF STIMULI   20                                                               
            6.     DIMENSIONS     4                                                                
            7.     PARAMETERS      REGRESSION(3)                                                   
            8.     PLOT           FINAL,RESIDUALS ,SHEPARD ,INITIAL                                
            9.     PUNCH          SPSS,SOLUTION                                                    
           10.     PRINT           INITIAL,RESIDUALS                                               
           11.     COMMENT                                                                         
           12.                    PARAMETER DEFINITIONS.                                           
           13.                    ----------------------                                           
           14.                                                                                     
           15.                    2) REGRESSION TYPE (DEFAULT VALUE 1)                             
           16.                       1: LINEAR REGRESSION ONLY.                                    
           17.                       2: NON-LINEAR REGRESSION ONLY.                                
           18.                       3: BOTH REGRESSIONS (INDEPENDENTLY).                          
           19.                    4) MATFORM (DEFAULT VALUE 0)                                     
           20.                       0: THE INPUT CONFIGURATION IS PUNCHED STIMULI(ROWS)           
           21.                          BY DIMENSIONS(COLUMNS).                                    
           22.                       1: THE INPUT CONFIGURATION IS PUNCHED DIMENSIONS              
           23.                          (ROWS) BY STIMULI(COLUMNS).                                
           24.                    5) WEIGHT (DEFAULT VALUE 0)                                      
           25.                       SEE CARROLL AND CHANG WRITE UP                                
           26.                    6) BCO (DEFAULT VALUE 0)                                         
           27.                       SEE CARROLL AND CHANG WRITE UP                                
           28.                                                                                     
           29.     INPUT FORMAT   (2X,4F7.3)                                                       
           30.     READ CONFIG                                                                     


                   INPUT INITIAL CONFIGURATION



          1          2          3          4     
  1     0.3090    -0.4760     1.1260     0.7500
  2     0.5880    -0.2940    -2.2510     0.2500
  3     0.8090     0.4760     2.6940    -0.8500
  4     0.9510     0.2940    -1.8640    -0.4500
  5     1.0000    -0.2940     2.1180     0.8500
  6     0.9510    -0.4760    -0.3520    -0.1500
  7     0.8090     0.2940     0.6990    -0.2500
  8     0.5880    -0.4760    -2.1350    -0.9500
  9     0.3090     0.0000     1.5970     0.6500
 10     0.0000    -0.2940    -2.0060     0.4500
 11    -0.3090     0.4760    -1.1310    -0.6500
 12    -0.5880    -0.2940    -0.6380     0.5500
 13    -0.8090     0.0000     3.3300     0.9500
 14    -0.9510    -0.4760    -1.3420     0.1500
 15    -1.0000     0.0000    -0.0360     0.3500
 16    -0.9510     0.4760     0.3130     0.0500
 17    -0.8090     0.0000    -0.8960    -0.7500
 18    -0.5880     0.2940    -1.7070    -0.5500
 19    -0.3090     0.2940    -1.5340    -0.3500
 20     0.0000     0.4760     4.0330    -0.0500


           31.     INPUT FORMAT   (20F3.1)                                                         
           32.     READ MATRIX                                                                     



                   INPUT PROPERTY MATRICES



                   PROPERTY :    PROPERTY NUMBER ONE.                                                         


    0.100000    0.200000    0.300000    0.400000    0.500000    0.600000    0.700000    0.800000    0.900000    1.000000
    1.100000    1.200000    1.300000    1.400000    1.500000    1.600000    1.700000    1.800000    1.900000    2.000000

                   PROPERTY :    PROPERTY NUMBER TWO.                                                         


    1.800000    0.600000    0.200000    0.400000    0.900000    1.700000    1.100000    0.700000    2.000000    1.600000
    1.200000    1.900000    0.500000    0.800000    1.000000    1.300000    1.500000    0.100000    1.400000    0.300000

                   PROPERTY :    PROPERTY NUMBER THREE.                                                       


    1.500000    0.100000    1.800000    0.400000    1.700000    1.100000    1.400000    0.200000    1.600000    0.300000
    0.800000    1.000000    1.900000    0.700000    1.200000    1.300000    0.900000    0.500000    0.600000    2.000000

                   PROPERTY :    PROPERTY NUMBER FOUR.                                                        


    1.800000    1.300000    0.200000    0.600000    1.900000    0.900000    0.800000    0.100000    1.700000    1.500000
    0.400000    1.600000    2.000000    1.200000    1.400000    1.100000    0.300000    0.500000    0.700000    1.000000

           33.     COMPUTE                                                                          * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 
* * * * * * * * * * * * * * * * * * * * * *   L I N E A R   R E G R E S S I O N   * * * * * * * * * * * * * * * * * * * * * * * 
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 





    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             




    NORMALIZED CONFIGURATION
    ------------------------

  1        0.3090     0.5880     0.8090     0.9510     1.0000     0.9510     0.8090     0.5880     0.3090     0.0000
          -0.3090    -0.5880    -0.8090    -0.9510    -1.0000    -0.9510    -0.8090    -0.5880    -0.3090     0.0000
  2       -0.4760    -0.2940     0.4760     0.2940    -0.2940    -0.4760     0.2940    -0.4760     0.0000    -0.2940
           0.4760    -0.2940     0.0000    -0.4760     0.0000     0.4760     0.0000     0.2940     0.2940     0.4760
  3        1.1251    -2.2519     2.6931    -1.8649     2.1171    -0.3529     0.6981    -2.1359     1.5961    -2.0069
          -1.1319    -0.6389     3.3291    -1.3429    -0.0369     0.3121    -0.8969    -1.7079    -1.5349     4.0321
  4        0.7500     0.2500    -0.8500    -0.4500     0.8500    -0.1500    -0.2500    -0.9500     0.6500     0.4500
          -0.6500     0.5500     0.9500     0.1500     0.3500     0.0500    -0.7500    -0.5500    -0.3500    -0.0500
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  2 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                2
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.06  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                           5                                                           !  28
      0.97  !                                        6           7   3                                              !  24
      0.81  !                                                                                                       !  20
      0.65  !                                        8  2                                                           !  16
      0.48  !                                                                                                       !  12
      0.32  !                                        1     9                                                        !   8
      0.16  !                                                                                                       !   4
DIMENSION  1                                                     +                                                   
     -0.16  !                                          10           20                                              !  -4
     -0.32  !                                                   19  11                                              !  -8
     -0.48  !                                                                                                       ! -12
     -0.65  !                                          12       18                                                  ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                       14    17        16                                              ! -24
     -1.13  !                                             15                                                        ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.06  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  17 OVERLAYS POINT(S)   13
POINT   7 OVERLAYS POINT(S)    4
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  3 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                3
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.06  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                                          5                            !  28
      0.97  !                                           6            7                          3                   !  24
      0.81  !                                                                                                       !  20
      0.65  !                   8                                                                                   !  16
      0.48  !                                                                                                       !  12
      0.32  !                                                              1     9                                  !   8
      0.16  !                                                                                                       !   4
DIMENSION  1                                                     +                                                   
     -0.16  !                     10                                                                             20 !  -4
     -0.32  !                           19    11                                                                    !  -8
     -0.48  !                                                                                                       ! -12
     -0.65  !                        18             12                                                              ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                              14    17             16                                                  ! -24
     -1.13  !                                             15                                                        ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.06  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT   8 OVERLAYS POINT(S)    2
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  4 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.06  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                           5                                           !  28
      0.97  !                                     3     7  6                                                        !  24
      0.81  !                                                                                                       !  20
      0.65  !                                  8                                                                    !  16
      0.48  !                                                                                                       !  12
      0.32  !                                                        9  1                                           !   8
      0.16  !                                                                                                       !   4
DIMENSION  1                                                     +                                                   
     -0.16  !                                             20    10                                                  !  -4
     -0.32  !                                       11 19                                                           !  -8
     -0.48  !                                                                                                       ! -12
     -0.65  !                                       18              12                                              ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                    17          16                                                     ! -24
     -1.13  !                                                   15                                                  ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.06  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  16 OVERLAYS POINT(S)   14
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  3 PLOTTED AGAINST DIMENSION  2                   DIMENSION
                                                                3
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.06  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                                                                       !  28
      0.97  !                                                                                                       !  24
      0.81  !                                                                                                       !  20
      0.65  !                                                                                                       !  16
      0.48  !                                 11                16                              3                20 !  12
      0.32  !                        18 19                           7                                              !   8
      0.16  !                                                                                                       !   4
DIMENSION  2                                                     +                                                   
     -0.16  !                                    17       15                     9                      13          !  -4
     -0.32  !                   2 10                12                                 5                            !  -8
     -0.48  !                   8          14           6                  1                                        ! -12
     -0.65  !                                                                                                       ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                                                                                       ! -24
     -1.13  !                                                                                                       ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.06  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  18 OVERLAYS POINT(S)    4
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  4 PLOTTED AGAINST DIMENSION  2                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.06  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                                                                       !  28
      0.97  !                                                                                                       !  24
      0.81  !                                                                                                       !  20
      0.65  !                                                                                                       !  16
      0.48  !                                     3 11    20 16                                                     !  12
      0.32  !                                       18 19                                                           !   8
      0.16  !                                                                                                       !   4
DIMENSION  2                                                     +                                                   
     -0.16  !                                    17             15   9    13                                        !  -4
     -0.32  !                                                   10  12  5                                           !  -8
     -0.48  !                                  8           6 14         1                                           ! -12
     -0.65  !                                                                                                       ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                                                                                       ! -24
     -1.13  !                                                                                                       ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.06  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  19 OVERLAYS POINT(S)    7
POINT  10 OVERLAYS POINT(S)    2
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  4 PLOTTED AGAINST DIMENSION  3                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                             20                                                        ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                             13                                        !  84
      3.23  !                                                                                                       !  80
      3.06  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                     3                                                                 !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                           5                                           !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                        9                                              !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                           1                                           !  28
      0.97  !                                                                                                       !  24
      0.81  !                                           7                                                           !  20
      0.65  !                                                                                                       !  16
      0.48  !                                                                                                       !  12
      0.32  !                                                16                                                     !   8
      0.16  !                                                                                                       !   4
DIMENSION  3                                                     +                                                   
     -0.16  !                                                   15                                                  !  -4
     -0.32  !                                                                                                       !  -8
     -0.48  !                                              6                                                        ! -12
     -0.65  !                                                       12                                              ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                    17                                                                 ! -24
     -1.13  !                                                                                                       ! -28
     -1.29  !                                       11                                                              ! -32
     -1.45  !                                                14                                                     ! -36
     -1.61  !                                          19                                                           ! -40
     -1.77  !                                       18                                                              ! -44
     -1.94  !                                           4                                                           ! -48
     -2.10  !                                                   10                                                  ! -52
     -2.26  !                                  8                 2                                                  ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.06  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03



    MINOR PRODUCT MOMENT MATRIX
    ---------------------------

  1       10.0004    -0.6819     2.2658    -0.9825
  2       -0.6819     2.5041     3.6204    -1.7066
  3        2.2658     3.6204    70.3083     7.9682
  4       -0.9825    -1.7066     7.9682     6.6500



    XMAT
    ----

  1        0.0183     0.0899     0.0464     0.1397     0.1063     0.0616     0.0958    -0.0009     0.0501     0.0300
          -0.0123    -0.0532    -0.0881    -0.1255    -0.0943    -0.0669    -0.1247    -0.0469    -0.0053    -0.0200
  2       -0.1831     0.0786    -0.0194     0.3104    -0.0292    -0.2738     0.1671    -0.4083     0.0998     0.0627
           0.2124    -0.0641    -0.0462    -0.2946     0.0091     0.2479    -0.2271     0.1247     0.1961     0.0368
  3        0.0198    -0.0544     0.0603    -0.0587     0.0148     0.0192    -0.0046     0.0217     0.0013    -0.0495
          -0.0249    -0.0124     0.0454     0.0095    -0.0030    -0.0152     0.0283    -0.0262    -0.0363     0.0651
  4        0.0448     0.1362    -0.1982     0.1029     0.1183    -0.1067     0.0250    -0.2737     0.1292     0.1475
          -0.0152     0.0732     0.0637    -0.0830     0.0446     0.0794    -0.2233    -0.0262     0.0404    -0.0790 
    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             



    PROPERTY NO :    1
    PROPERTY NAME  :     PROPERTY NUMBER ONE.                                                         




    SSQ=      0.52193               XL=      0.72245




    ORIGINAL VALUES ON PROPERTY NO :    1
    PROPERTY NAME :     PROPERTY NUMBER ONE.                                                         

          0.1000     0.2000     0.3000     0.4000     0.5000     0.6000     0.7000     0.8000     0.9000     1.0000
          1.1000     1.2000     1.3000     1.4000     1.5000     1.6000     1.7000     1.8000     1.9000     2.0000

   PROJECTIONS ON FITTED VECTORS
         -0.6060    -0.8033    -0.1808    -0.6978    -1.1366    -0.9889    -0.5094    -0.5220    -0.3850    -0.3267
          0.5772     0.2306     0.6031     0.5687     0.7867     1.0154     0.8899     0.7045     0.4079     0.3724




    CORRELATION BETWEEN ORIGINAL AND FITTED VECTORS FOR PROPERTY NO.  1 IS    0.836 , RSQ=   0.699


          PLOT OF ORIGINAL (X-AXIS) VERSUS OBTAINED (Y-AXIS)FOR PROPERTY VECTOR NO.  1
          PROPERTY NAME :    PROPERTY NUMBER ONE.                                                         


     OBTAINED
     VALUES
             2.06  !                                                              *                 
                   !
                   !
             1.93  !                                                                  *             
                   !
                   !
             1.84  !                                                          *                     
                   !
             1.76  !                                                                      *         
                   !
             1.71  !                                         *       *                              
             1.58  !                                                      *                         
                   !
                   !
             1.54  !                                                                          *     
             1.41  !                                                                               *
                   !
                   !
             0.97  !                                             *                                  
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
             0.83  !        *                                                                       
                   !
                   !
             0.79  !                                     *                                          
             0.66  !                                 *                                              
                   !
                   !
             0.61  !                        *                                                       
             0.57  !                             *                                                  
             0.44  !*                                                                               
                   !
                   !
             0.35  !            *                                                                   
                   !
             0.18  !    *                                                                           
                   !
                   !
                   !
             0.04  !                    *                                                           
                   !
                   !
                   !
                   +--------------------------------------------------------------------------------
                      0.10      0.34      0.57      0.81      1.05      1.29      1.52      1.76    
                                            ORIGINAL  VALUES 
    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             



    PROPERTY NO :    2
    PROPERTY NAME  :     PROPERTY NUMBER TWO.                                                         




    SSQ=      0.21334               XL=      0.46189




    ORIGINAL VALUES ON PROPERTY NO :    2
    PROPERTY NAME :     PROPERTY NUMBER TWO.                                                         

          1.8000     0.6000     0.2000     0.4000     0.9000     1.7000     1.1000     0.7000     2.0000     1.6000
          1.2000     1.9000     0.5000     0.8000     1.0000     1.3000     1.5000     0.1000     1.4000     0.3000

   PROJECTIONS ON FITTED VECTORS
          0.6784     0.6461    -1.4029    -0.3431     0.4341     0.1539    -0.5478    -0.1614     0.2337     0.8145
         -0.6019     0.7460     0.3111     0.6930     0.3591    -0.2235    -0.3649    -0.3033    -0.2022    -0.9189




    CORRELATION BETWEEN ORIGINAL AND FITTED VECTORS FOR PROPERTY NO.  2 IS    0.474 , RSQ=   0.225


          PLOT OF ORIGINAL (X-AXIS) VERSUS OBTAINED (Y-AXIS)FOR PROPERTY VECTOR NO.  2
          PROPERTY NAME :    PROPERTY NUMBER TWO.                                                         


     OBTAINED
     VALUES
                   !
             2.17  !                                                              *                 
             2.13  !                                                                          *     
             2.08  !                             *                                                  
             1.86  !                    *                                                 *         
                   !
                   !
                   !
                   !
             1.76  !                                 *                                              
                   !
             1.72  !                                     *                                          
             1.67  !                *                                                               
             1.58  !                                                                               *
                   !
             1.27  !                                                                  *             
                   !
                   !
                   !
                   !
                   !
                   !
             1.22  !                        *                                                       
             1.13  !                                                 *    *                         
                   !
             1.09  !*                                                                               
             1.04  !            *                                                                   
             0.86  !                                                          *                     
                   !
                   !
                   !
             0.81  !                                         *                                      
             0.50  !                                             *                                  
                   !
                   !
                   !
                   !
                   !
                   !
             0.05  !        *                                                                       
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   +--------------------------------------------------------------------------------
                      0.10      0.34      0.57      0.81      1.05      1.29      1.52      1.76    
                                            ORIGINAL  VALUES 
    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             



    PROPERTY NO :    3
    PROPERTY NAME  :     PROPERTY NUMBER THREE.                                                       




    SSQ=      0.09171               XL=      0.30283




    ORIGINAL VALUES ON PROPERTY NO :    3
    PROPERTY NAME :     PROPERTY NUMBER THREE.                                                       

          1.5000     0.1000     1.8000     0.4000     1.7000     1.1000     1.4000     0.2000     1.6000     0.3000
          0.8000     1.0000     1.9000     0.7000     1.2000     1.3000     0.9000     0.5000     0.6000     2.0000

   PROJECTIONS ON FITTED VECTORS
          1.0957    -2.3015     2.4787    -2.0167     1.9621    -0.5054     0.5409    -2.2376     1.5503    -1.9548
         -1.0980    -0.5058     3.4548    -1.1554     0.1432     0.4609    -0.7836    -1.6135    -1.4801     3.9659




    CORRELATION BETWEEN ORIGINAL AND FITTED VECTORS FOR PROPERTY NO.  3 IS    0.972 , RSQ=   0.944


          PLOT OF ORIGINAL (X-AXIS) VERSUS OBTAINED (Y-AXIS)FOR PROPERTY VECTOR NO.  3
          PROPERTY NAME :    PROPERTY NUMBER THREE.                                                       


     OBTAINED
     VALUES
                   !
             5.88  !                                                                               *
                   !
                   !
             4.86  !                                                                          *     
                   !
                   !
                   !
                   !
                   !
                   !
                   !
             4.35  !                                                                      *         
                   !
                   !
                   !
             3.97  !                                                                  *             
                   !
                   !
             3.45  !                                                              *                 
                   !
                   !
                   !
             2.94  !                                                          *                     
                   !
                   !
                   !
             2.81  !                                                      *                         
             2.56  !                                                 *                              
                   !
             1.92  !                                             *                                  
                   !
                   !
                   !
                   !
             1.53  !                                     *   *                                      
                   !
                   !
             1.28  !                                 *                                              
                   !
             1.15  !                             *                                                  
             0.90  !                        *                                                       
                   !
             0.77  !                    *                                                           
             0.38  !                *                                                               
                   !
                   !
             0.13  !        *   *                                                                   
                   !
             0.13  !    *                                                                           
                   +--------------------------------------------------------------------------------
                      0.10      0.34      0.57      0.81      1.05      1.29      1.52      1.76    
                                            ORIGINAL  VALUES 
    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             



    PROPERTY NO :    4
    PROPERTY NAME  :     PROPERTY NUMBER FOUR.                                                        




    SSQ=      1.00000               XL=      1.00000




    ORIGINAL VALUES ON PROPERTY NO :    4
    PROPERTY NAME :     PROPERTY NUMBER FOUR.                                                        

          1.8000     1.3000     0.2000     0.6000     1.9000     0.9000     0.8000     0.1000     1.7000     1.5000
          0.4000     1.6000     2.0000     1.2000     1.4000     1.1000     0.3000     0.5000     0.7000     1.0000

   PROJECTIONS ON FITTED VECTORS
          0.7500     0.2500    -0.8500    -0.4500     0.8500    -0.1500    -0.2500    -0.9500     0.6500     0.4500
         -0.6500     0.5500     0.9500     0.1500     0.3500     0.0500    -0.7500    -0.5500    -0.3500    -0.0500




    CORRELATION BETWEEN ORIGINAL AND FITTED VECTORS FOR PROPERTY NO.  4 IS    1.000 , RSQ=   1.000


          PLOT OF ORIGINAL (X-AXIS) VERSUS OBTAINED (Y-AXIS)FOR PROPERTY VECTOR NO.  4
          PROPERTY NAME :    PROPERTY NUMBER FOUR.                                                        


     OBTAINED
     VALUES
                   !
             1.82  !                                                                               *
                   !
             1.71  !                                                                          *     
                   !
                   !
             1.63  !                                                                      *         
                   !
             1.51  !                                                                  *             
                   !
                   !
             1.43  !                                                              *                 
                   !
             1.32  !                                                          *                     
                   !
                   !
             1.20  !                                                      *                         
                   !
                   !
             1.12  !                                                 *                              
                   !
             1.01  !                                             *                                  
                   !
                   !
             0.93  !                                         *                                      
                   !
             0.81  !                                     *                                          
                   !
                   !
             0.74  !                                 *                                              
                   !
             0.62  !                             *                                                  
                   !
                   !
             0.50  !                        *                                                       
                   !
                   !
             0.43  !                    *                                                           
                   !
             0.31  !                *                                                               
                   !
                   !
             0.23  !            *                                                                   
                   !
             0.12  !        *                                                                       
                   !
                   !
             0.04  !    *                                                                           
                   !
                   !
                   +--------------------------------------------------------------------------------
                      0.10      0.34      0.57      0.81      1.05      1.29      1.52      1.76    
                                            ORIGINAL  VALUES 
    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             




     ============================================
      RESULTS OF THE LINEAR REGRESSION PROCEDURE
     ============================================


TABLE 1.  THE MAXIMUM CORRELATION BETWEEN THE PROPERTY
          AND THE PROJECTIONS ON FITTED VECTOR

            RHO         PROPERTY
   1         0.8360      PROPERTY NUMBER ONE.                                                         
   2         0.4740      PROPERTY NUMBER TWO.                                                         
   3         0.9715      PROPERTY NUMBER THREE.                                                       
   4         1.0000      PROPERTY NUMBER FOUR.                                                        

TABLE 2.  DIRECTION COSINES OF FITTED VECTORS
           IN NORMALIZED SPACE

                    DIMENSION

   VECTOR    1        2        3        4
     1     -0.8880   0.3585   0.0465  -0.2843
     2     -0.0895  -0.6335  -0.1437   0.7550
     3     -0.1643  -0.0107   0.9854   0.0436
     4      0.0000   0.0000   0.0000   1.0000



TABLE 3.  COSINE OF ANGLES BETWEEN VECTORS

   VECTOR    1        2        3        4
     2     -0.3690
     3      0.1755  -0.0872
     4     -0.2843   0.7550   0.0436
STIMULUS SPACE IN  4 DIMENSIONS
    1  0.3090   -0.4760    1.1260    0.7500  
    2  0.5880   -0.2940   -2.2510    0.2500  
    3  0.8090    0.4760    2.6940   -0.8500  
    4  0.9510    0.2940   -1.8640   -0.4500  
    5  1.0000   -0.2940    2.1180    0.8500  
    6  0.9510   -0.4760   -0.3520   -0.1500  
    7  0.8090    0.2940    0.6990   -0.2500  
    8  0.5880   -0.4760   -2.1350   -0.9500  
    9  0.3090    0.0000    1.5970    0.6500  
   10  0.0000   -0.2940   -2.0060    0.4500  
   11 -0.3090    0.4760   -1.1310   -0.6500  
   12 -0.5880   -0.2940   -0.6380    0.5500  
   13 -0.8090    0.0000    3.3300    0.9500  
   14 -0.9510   -0.4760   -1.3420    0.1500  
   15 -1.0000    0.0000   -0.0360    0.3500  
   16 -0.9510    0.4760    0.3130    0.0500  
   17 -0.8090    0.0000   -0.8960   -0.7500  
   18 -0.5880    0.2940   -1.7070   -0.5500  
   19 -0.3090    0.2940   -1.5340   -0.3500  
   20  0.0000    0.4760    4.0330   -0.0500  

           TABLE OF RESIDUALS
          ------------------

          1          2          3          4     
  1     0.7060     1.1216     0.4043     1.0500
  2     1.0033    -0.0461     2.4015     1.0500
  3     0.4808     1.6029    -0.6787     1.0500
  4     1.0978     0.7431     2.4167     1.0500
  5     1.6366     0.4659    -0.2621     1.0500
  6     1.5889     1.5461     1.6054     1.0500
  7     1.2094     1.6478     0.8591     1.0500
  8     1.3220     0.8614     2.4376     1.0500
  9     1.2850     1.7663     0.0497     1.0500
 10     1.3267     0.7855     2.2548     1.0500
 11     0.5228     1.8019     1.8980     1.0500
 12     0.9694     1.1540     1.5058     1.0500
 13     0.6969     0.1889    -1.5548     1.0500
 14     0.8313     0.1070     1.8554     1.0500
 15     0.7133     0.6409     1.0568     1.0500
 16     0.5846     1.5235     0.8391     1.0500
 17     0.8101     1.8649     1.6836     1.0500
 18     1.0955     0.4033     2.1135     1.0500
 19     1.4921     1.6022     2.0801     1.0500
 20     1.6276     1.2189    -1.9659     1.0500


PROFIT TEST DATA.                                                
ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             


 HISTOGRAM OF LOG RESIDUALS

      FREQUENCY 

       23!                                                                  ***                     
       22!                                                                  ***                     
       21!                                                                  ***                     
       20!                                                                  ***                     
       19!                                                                  ***                     
       18!                                                                  ***                     
       17!                                                                  ***                     
       16!                                                                  ***                     
       15!                                                                  ***                     
       14!                                                                  ***                     
       13!                                                                  ***                     
       12!                                                                  ***                     
       11!                                                                  ***                     
       10!                                                                  ***                     
        9!                                                                  ***      ***            
        8!                                                                  ***      ***            
        7!                                                                  ***      ***            
        6!                                                                  ******   *********      
        5!                                                                  ******   *********      
        4!                                                         ***************   *********      
        3!                                                         ******************************   
        2!***                                          ***   ***   ******************************   
        1!***               ***         ***   ***      *********************************************
         !!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!
 LOG     -1.337         -1.040         -0.742         -0.445         -0.148          0.149          0.446
 ACTUAL   0.046          0.091          0.181          0.359          0.711          1.410          2.795
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  2 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                2
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                           5                                                           !  28
      0.97  !                                        6           7   3                                              !  24
      0.81  !                                                                                                       !  20
      0.65  !                                        8  2                                                           !  16
      0.48  !                                                                                                       !  12
      0.32  !                                        1     9                                                        !   8
      0.16  !                                                                                                       !   4
DIMENSION  1                                                     +                                                   
     -0.16  !                                       22 10 24        20                                              !  -4
     -0.32  !                                             23    19  11                                              !  -8
     -0.48  !                                                                                                       ! -12
     -0.65  !                                          12       18                                                  ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                       14    17    21  16                                              ! -24
     -1.13  !                                             15                                                        ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  17 OVERLAYS POINT(S)   13
POINT   7 OVERLAYS POINT(S)    4
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  3 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                3
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                                          5                            !  28
      0.97  !                                           6            7                          3                   !  24
      0.81  !                                                                                                       !  20
      0.65  !                   2  8                                                                                !  16
      0.48  !                                                                                                       !  12
      0.32  !                                                              1     9                                  !   8
      0.16  !                                                                                                       !   4
DIMENSION  1                                                     +                                                   
     -0.16  !                     10                      24                                                  20    !  -4
     -0.32  !                           19    11                          23                                        !  -8
     -0.48  !                                                                                                       ! -12
     -0.65  !                        18             12                                                              ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                              14    17          21 16                                                  ! -24
     -1.13  !                                             15                                                        ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  24 OVERLAYS POINT(S)   22
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  4 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                           5                                           !  28
      0.97  !                                     3     7  6                                                        !  24
      0.81  !                                                                                                       !  20
      0.65  !                                  8                 2                                                  !  16
      0.48  !                                                                                                       !  12
      0.32  !                                                        9  1                                           !   8
      0.16  !                                                                                                       !   4
DIMENSION  1                                                     +                                                   
     -0.16  !                                             20    10        24                                        !  -4
     -0.32  !                                       11 19    23                                                     !  -8
     -0.48  !                                                                                                       ! -12
     -0.65  !                                       18              12                                              ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                    17    21    16                                                     ! -24
     -1.13  !                                                   15                                                  ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  16 OVERLAYS POINT(S)   14
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  3 PLOTTED AGAINST DIMENSION  2                   DIMENSION
                                                                3
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                                                                       !  28
      0.97  !                                                                                                       !  24
      0.81  !                                                                                                       !  20
      0.65  !                                                                                                       !  16
      0.48  !                                 11             21 16                              3             20    !  12
      0.32  !                        18 19                           7                                              !   8
      0.16  !                                                                                                       !   4
DIMENSION  2                                                     +                                                   
     -0.16  !                                    17       24              23     9                      13          !  -4
     -0.32  !                   2 10                12                                 5                            !  -8
     -0.48  !                      8       14           6                  1                                        ! -12
     -0.65  !                                             22                                                        ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                                                                                       ! -24
     -1.13  !                                                                                                       ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  24 OVERLAYS POINT(S)   15
POINT  18 OVERLAYS POINT(S)    4
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  4 PLOTTED AGAINST DIMENSION  2                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                                                                       !  28
      0.97  !                                                                                                       !  24
      0.81  !                                                                                                       !  20
      0.65  !                                                                                                       !  16
      0.48  !                                     3 11 21 20 16                                                     !  12
      0.32  !                                       18 19                                                           !   8
      0.16  !                                                                                                       !   4
DIMENSION  2                                                     +                                                   
     -0.16  !                                    17          23      9    24                                        !  -4
     -0.32  !                                                   10  12  5                                           !  -8
     -0.48  !                                  8           6 14         1                                           ! -12
     -0.65  !                                                          22                                           ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                                                                                       ! -24
     -1.13  !                                                                                                       ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  24 OVERLAYS POINT(S)   13
POINT  19 OVERLAYS POINT(S)    7
POINT  10 OVERLAYS POINT(S)    2
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  4 PLOTTED AGAINST DIMENSION  3                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                             20                                                        ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                             13                                        !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                     3                                                                 !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                           5                                           !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                        9                                              !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                23         1                                           !  28
      0.97  !                                                                                                       !  24
      0.81  !                                           7                                                           !  20
      0.65  !                                                                                                       !  16
      0.48  !                                                                                                       !  12
      0.32  !                                                16                                                     !   8
      0.16  !                                          21                                                           !   4
DIMENSION  3                                                     +                                                   
     -0.16  !                                                   15     22 24                                        !  -4
     -0.32  !                                                                                                       !  -8
     -0.48  !                                              6                                                        ! -12
     -0.65  !                                                       12                                              ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                    17                                                                 ! -24
     -1.13  !                                                                                                       ! -28
     -1.29  !                                       11                                                              ! -32
     -1.45  !                                                14                                                     ! -36
     -1.61  !                                          19                                                           ! -40
     -1.77  !                                       18                                                              ! -44
     -1.94  !                                           4                                                           ! -48
     -2.10  !                                                   10                                                  ! -52
     -2.26  !                                  8                 2                                                  ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINTS 1 TO  20 ARE STIMULI, POINTS  21 TO  24 ARE SUBJECT VECTORS * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 
* * * * * * * * * * * * * * * * * * * *     N O N - L I NE A R  R E G R E S S I O N     * * * * * * * * * * * * * * * * * * * * 
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * 





    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             





    BASIC STRUCTURE
    ---------------

  1        0.1411    -0.2595     0.3096    -0.2193     0.2626    -0.0423     0.0833    -0.2640     0.1976    -0.2304
          -0.1402    -0.0710     0.4004    -0.1617    -0.0033     0.0363    -0.1189    -0.2085    -0.1843     0.4746
  2        0.0386     0.1617     0.3051     0.3203     0.2372     0.3035     0.2607     0.2573     0.0417    -0.0316
          -0.0464    -0.2175    -0.3200    -0.2937    -0.3292    -0.2956    -0.1851    -0.1365    -0.0680    -0.0023
  3        0.3244     0.2615    -0.3976    -0.0642     0.3461     0.1266    -0.0962    -0.1086     0.1871     0.2725
          -0.2909     0.2119     0.1381     0.1069     0.0373    -0.1586    -0.2846    -0.2269    -0.1437    -0.2418
  4       -0.1486     0.1560    -0.1103     0.3637     0.0425    -0.2971     0.1817    -0.5098     0.1604     0.1370
           0.1910    -0.0320    -0.0313    -0.3324     0.0154     0.2589    -0.3372     0.0992     0.2040    -0.0129
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  2 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                2
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      0.51  !                                                                                                       ! 100
      0.49  !                                             20                                                        !  96
      0.47  !                                                                                                       !  92
      0.45  !                                                                                                       !  88
      0.43  !                                                                                                       !  84
      0.41  !               13                                                                                      !  80
      0.39  !                                                                                                       !  76
      0.37  !                                                                                                       !  72
      0.35  !                                                                                                       !  68
      0.33  !                                                                                3                      !  64
      0.31  !                                                                                                       !  60
      0.29  !                                                                                                       !  56
      0.27  !                                                                       5                               !  52
      0.24  !                                                                                                       !  48
      0.22  !                                                                                                       !  44
      0.20  !                                                    9                                                  !  40
      0.18  !                                                                                                       !  36
      0.16  !                                                                                                       !  32
      0.14  !                                                    1                                                  !  28
      0.12  !                                                                                                       !  24
      0.10  !                                                                          7                            !  20
      0.08  !                                                                                                       !  16
      0.06  !                                                                                                       !  12
      0.04  !                  16                                                                                   !   8
      0.02  !                                                                                                       !   4
DIMENSION  1                                                     +                                                   
     -0.02  !               15                                                                                      !  -4
     -0.04  !                                                                                                       !  -8
     -0.06  !                                                                                6                      ! -12
     -0.08  !                        12                                                                             ! -16
     -0.10  !                                                                                                       ! -20
     -0.12  !                           17                                                                          ! -24
     -0.14  !                                          11                                                           ! -28
     -0.16  !                  14                                                                                   ! -32
     -0.18  !                                                                                                       ! -36
     -0.20  !                                       19                                                              ! -40
     -0.22  !                                 18                                             4                      ! -44
     -0.24  !                                          10                                                           ! -48
     -0.27  !                                                                 2        8                            ! -52
     -0.29  !                                                                                                       ! -56
     -0.31  !                                                                                                       ! -60
     -0.33  !                                                                                                       ! -64
     -0.35  !                                                                                                       ! -68
     -0.37  !                                                                                                       ! -72
     -0.39  !                                                                                                       ! -76
     -0.41  !                                                                                                       ! -80
     -0.43  !                                                                                                       ! -84
     -0.45  !                                                                                                       ! -88
     -0.47  !                                                                                                       ! -92
     -0.49  !                                                                                                       ! -96
     -0.51  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -0.51-0.46-0.41-0.36-0.31-0.25-0.20-0.15-0.10-0.05    * 0.05 0.10 0.15 0.20 0.25 0.31 0.36 0.41 0.46 0.51
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  3 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                3
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      0.51  !                                                                                                       ! 100
      0.49  !                     20                                                                                !  96
      0.47  !                                                                                                       !  92
      0.45  !                                                                                                       !  88
      0.43  !                                                                                                       !  84
      0.41  !                                                             13                                        !  80
      0.39  !                                                                                                       !  76
      0.37  !                                                                                                       !  72
      0.35  !                                                                                                       !  68
      0.33  !       3                                                                                               !  64
      0.31  !                                                                                                       !  60
      0.29  !                                                                                                       !  56
      0.27  !                                                                                   5                   !  52
      0.24  !                                                                                                       !  48
      0.22  !                                                                                                       !  44
      0.20  !                                                                    9                                  !  40
      0.18  !                                                                                                       !  36
      0.16  !                                                                                                       !  32
      0.14  !                                                                                1                      !  28
      0.12  !                                                                                                       !  24
      0.10  !                                     7                                                                 !  20
      0.08  !                                                                                                       !  16
      0.06  !                                                                                                       !  12
      0.04  !                              16                                                                       !   8
      0.02  !                                                                                                       !   4
DIMENSION  1                                                     +                                                   
     -0.02  !                                                   15                                                  !  -4
     -0.04  !                                                                                                       !  -8
     -0.06  !                                                              6                                        ! -12
     -0.08  !                                                                      12                               ! -16
     -0.10  !                                                                                                       ! -20
     -0.12  !                  17                                                                                   ! -24
     -0.14  !                  11                                                                                   ! -28
     -0.16  !                                                          14                                           ! -32
     -0.18  !                                                                                                       ! -36
     -0.20  !                                 19                                                                    ! -40
     -0.22  !                        18              4                                                              ! -44
     -0.24  !                                                                            10                         ! -48
     -0.27  !                                     8                                    2                            ! -52
     -0.29  !                                                                                                       ! -56
     -0.31  !                                                                                                       ! -60
     -0.33  !                                                                                                       ! -64
     -0.35  !                                                                                                       ! -68
     -0.37  !                                                                                                       ! -72
     -0.39  !                                                                                                       ! -76
     -0.41  !                                                                                                       ! -80
     -0.43  !                                                                                                       ! -84
     -0.45  !                                                                                                       ! -88
     -0.47  !                                                                                                       ! -92
     -0.49  !                                                                                                       ! -96
     -0.51  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -0.51-0.46-0.41-0.36-0.31-0.25-0.20-0.15-0.10-0.05    * 0.05 0.10 0.15 0.20 0.25 0.31 0.36 0.41 0.46 0.51
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  4 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      0.51  !                                                                                                       ! 100
      0.49  !                                             20                                                        !  96
      0.47  !                                                                                                       !  92
      0.45  !                                                                                                       !  88
      0.43  !                                                                                                       !  84
      0.41  !                                          13                                                           !  80
      0.39  !                                                                                                       !  76
      0.37  !                                                                                                       !  72
      0.35  !                                                                                                       !  68
      0.33  !                                     3                                                                 !  64
      0.31  !                                                                                                       !  60
      0.29  !                                                                                                       !  56
      0.27  !                                                    5                                                  !  52
      0.24  !                                                                                                       !  48
      0.22  !                                                                                                       !  44
      0.20  !                                                                 9                                     !  40
      0.18  !                                                                                                       !  36
      0.16  !                                                                                                       !  32
      0.14  !                                  1                                                                    !  28
      0.12  !                                                                                                       !  24
      0.10  !                                                                    7                                  !  20
      0.08  !                                                                                                       !  16
      0.06  !                                                                                                       !  12
      0.04  !                                                                         16                            !   8
      0.02  !                                                                                                       !   4
DIMENSION  1                                                     +                                                   
     -0.02  !                                                15                                                     !  -4
     -0.04  !                                                                                                       !  -8
     -0.06  !                   6                                                                                   ! -12
     -0.08  !                                          12                                                           ! -16
     -0.10  !                                                                                                       ! -20
     -0.12  !            17                                                                                         ! -24
     -0.14  !                                                                   11                                  ! -28
     -0.16  !            14                                                                                         ! -32
     -0.18  !                                                                                                       ! -36
     -0.20  !                                                                   19                                  ! -40
     -0.22  !                                                          18                          4                ! -44
     -0.24  !                                                             10                                        ! -48
     -0.27  ! 8                                                               2                                     ! -52
     -0.29  !                                                                                                       ! -56
     -0.31  !                                                                                                       ! -60
     -0.33  !                                                                                                       ! -64
     -0.35  !                                                                                                       ! -68
     -0.37  !                                                                                                       ! -72
     -0.39  !                                                                                                       ! -76
     -0.41  !                                                                                                       ! -80
     -0.43  !                                                                                                       ! -84
     -0.45  !                                                                                                       ! -88
     -0.47  !                                                                                                       ! -92
     -0.49  !                                                                                                       ! -96
     -0.51  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -0.51-0.46-0.41-0.36-0.31-0.25-0.20-0.15-0.10-0.05    * 0.05 0.10 0.15 0.20 0.25 0.31 0.36 0.41 0.46 0.51
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  3 PLOTTED AGAINST DIMENSION  2                   DIMENSION
                                                                3
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      0.51  !                                                                                                       ! 100
      0.49  !                                                                                                       !  96
      0.47  !                                                                                                       !  92
      0.45  !                                                                                                       !  88
      0.43  !                                                                                                       !  84
      0.41  !                                                                                                       !  80
      0.39  !                                                                                                       !  76
      0.37  !                                                                                                       !  72
      0.35  !                                                                                                       !  68
      0.33  !                                        4                                                              !  64
      0.31  !       3                                                      6                                        !  60
      0.29  !                                                                                                       !  56
      0.27  !                                     8                                                                 !  52
      0.24  !                                                                                   5                   !  48
      0.22  !                                                                                                       !  44
      0.20  !                                                                                                       !  40
      0.18  !                                                                                                       !  36
      0.16  !                                                                          2                            !  32
      0.14  !                                                                                                       !  28
      0.12  !                                                                                                       !  24
      0.10  !                                                                                                       !  20
      0.08  !                                                                                                       !  16
      0.06  !                                                                    9                                  !  12
      0.04  !                                                                                1                      !   8
      0.02  !                                                                                                       !   4
DIMENSION  2                                                     +                                                   
     -0.02  !                     20                                                                                !  -4
     -0.04  !                                                                            10                         !  -8
     -0.06  !                  11                                                                                   ! -12
     -0.08  !                                 19                                                                    ! -16
     -0.10  !                                                                                                       ! -20
     -0.12  !                                                                                                       ! -24
     -0.14  !                        18                                                                             ! -28
     -0.16  !                                                                                                       ! -32
     -0.18  !                                                                                                       ! -36
     -0.20  !                  17                                                                                   ! -40
     -0.22  !                                                                      12                               ! -44
     -0.24  !                                                                                                       ! -48
     -0.27  !                                                                                                       ! -52
     -0.29  !                                                                                                       ! -56
     -0.31  !                              16                          14                                           ! -60
     -0.33  !                                                             13                                        ! -64
     -0.35  !                                                   15                                                  ! -68
     -0.37  !                                                                                                       ! -72
     -0.39  !                                                                                                       ! -76
     -0.41  !                                                                                                       ! -80
     -0.43  !                                                                                                       ! -84
     -0.45  !                                                                                                       ! -88
     -0.47  !                                                                                                       ! -92
     -0.49  !                                                                                                       ! -96
     -0.51  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -0.51-0.46-0.41-0.36-0.31-0.25-0.20-0.15-0.10-0.05    * 0.05 0.10 0.15 0.20 0.25 0.31 0.36 0.41 0.46 0.51
POINT   8 OVERLAYS POINT(S)    7
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  4 PLOTTED AGAINST DIMENSION  2                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      0.51  !                                                                                                       ! 100
      0.49  !                                                                                                       !  96
      0.47  !                                                                                                       !  92
      0.45  !                                                                                                       !  88
      0.43  !                                                                                                       !  84
      0.41  !                                                                                                       !  80
      0.39  !                                                                                                       !  76
      0.37  !                                                                                                       !  72
      0.35  !                                                                                                       !  68
      0.33  !                                                                                      4                !  64
      0.31  !                   6                 3                                                                 !  60
      0.29  !                                                                                                       !  56
      0.27  ! 8                                                                                                     !  52
      0.24  !                                                    5                                                  !  48
      0.22  !                                                                                                       !  44
      0.20  !                                                                                                       !  40
      0.18  !                                                                                                       !  36
      0.16  !                                                                 2                                     !  32
      0.14  !                                                                                                       !  28
      0.12  !                                                                                                       !  24
      0.10  !                                                                                                       !  20
      0.08  !                                                                                                       !  16
      0.06  !                                                                 9                                     !  12
      0.04  !                                  1                                                                    !   8
      0.02  !                                                                                                       !   4
DIMENSION  2                                                     +                                                   
     -0.02  !                                             20                                                        !  -4
     -0.04  !                                                             10                                        !  -8
     -0.06  !                                                                   11                                  ! -12
     -0.08  !                                                                   19                                  ! -16
     -0.10  !                                                                                                       ! -20
     -0.12  !                                                                                                       ! -24
     -0.14  !                                                          18                                           ! -28
     -0.16  !                                                                                                       ! -32
     -0.18  !                                                                                                       ! -36
     -0.20  !            17                                                                                         ! -40
     -0.22  !                                          12                                                           ! -44
     -0.24  !                                                                                                       ! -48
     -0.27  !                                                                                                       ! -52
     -0.29  !                                                                                                       ! -56
     -0.31  !            14                                                           16                            ! -60
     -0.33  !                                          13                                                           ! -64
     -0.35  !                                                15                                                     ! -68
     -0.37  !                                                                                                       ! -72
     -0.39  !                                                                                                       ! -76
     -0.41  !                                                                                                       ! -80
     -0.43  !                                                                                                       ! -84
     -0.45  !                                                                                                       ! -88
     -0.47  !                                                                                                       ! -92
     -0.49  !                                                                                                       ! -96
     -0.51  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -0.51-0.46-0.41-0.36-0.31-0.25-0.20-0.15-0.10-0.05    * 0.05 0.10 0.15 0.20 0.25 0.31 0.36 0.41 0.46 0.51
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 INITIAL STIMULI CONFIGURATION                                   
DIMENSION  4 PLOTTED AGAINST DIMENSION  3                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      0.51  !                                                                                                       ! 100
      0.49  !                                                                                                       !  96
      0.47  !                                                                                                       !  92
      0.45  !                                                                                                       !  88
      0.43  !                                                                                                       !  84
      0.41  !                                                                                                       !  80
      0.39  !                                                                                                       !  76
      0.37  !                                                                                                       !  72
      0.35  !                                                    5                                                  !  68
      0.33  !                                  1                                                                    !  64
      0.31  !                                                                                                       !  60
      0.29  !                                                             10                                        !  56
      0.27  !                                                                 2                                     !  52
      0.24  !                                                                                                       !  48
      0.22  !                                          12                                                           !  44
      0.20  !                                                                 9                                     !  40
      0.18  !                                                                                                       !  36
      0.16  !                                                                                                       !  32
      0.14  !                   6                      13                                                           !  28
      0.12  !            14                                                                                         !  24
      0.10  !                                                                                                       !  20
      0.08  !                                                                                                       !  16
      0.06  !                                                                                                       !  12
      0.04  !                                                15                                                     !   8
      0.02  !                                                                                                       !   4
DIMENSION  3                                                     +                                                   
     -0.02  !                                                                                                       !  -4
     -0.04  !                                                                                                       !  -8
     -0.06  !                                                                                                       ! -12
     -0.08  !                                                                                      4                ! -16
     -0.10  !                                                                    7                                  ! -20
     -0.12  ! 8                                                                                                     ! -24
     -0.14  !                                                                                                       ! -28
     -0.16  !                                                                   19    16                            ! -32
     -0.18  !                                                                                                       ! -36
     -0.20  !                                                                                                       ! -40
     -0.22  !                                                                                                       ! -44
     -0.24  !                                             20           18                                           ! -48
     -0.27  !                                                                                                       ! -52
     -0.29  !            17                                                                                         ! -56
     -0.31  !                                                                   11                                  ! -60
     -0.33  !                                                                                                       ! -64
     -0.35  !                                                                                                       ! -68
     -0.37  !                                                                                                       ! -72
     -0.39  !                                                                                                       ! -76
     -0.41  !                                     3                                                                 ! -80
     -0.43  !                                                                                                       ! -84
     -0.45  !                                                                                                       ! -88
     -0.47  !                                                                                                       ! -92
     -0.49  !                                                                                                       ! -96
     -0.51  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -0.51-0.46-0.41-0.36-0.31-0.25-0.20-0.15-0.10-0.05    * 0.05 0.10 0.15 0.20 0.25 0.31 0.36 0.41 0.46 0.51 
    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             



    PROPERTY NO :    1
    PROPERTY NAME  :     PROPERTY NUMBER ONE.                                                         



  MOMENTS
            1              2              3              4
      0.566510E+04   0.656594E+06  -0.739582E+08   0.225714E+13

  SKEWNESS=     -0.139008     KURTOSIS=      1.745193

  THE STANDARDIZED INDEX OF NONLINEAR CORRELATION

  Z=      -5.77523     ZSQ=      33.35324


    ORIGINAL VALUES ON PROPERTY NO :    1
    PROPERTY NAME :     PROPERTY NUMBER ONE.                                                         

          0.1000     0.2000     0.3000     0.4000     0.5000     0.6000     0.7000     0.8000     0.9000     1.0000
          1.1000     1.2000     1.3000     1.4000     1.5000     1.6000     1.7000     1.8000     1.9000     2.0000

   PROJECTIONS ON FITTED VECTORS
          0.1234     0.2047     0.2181     0.2875     0.3359     0.3117     0.2403     0.1856     0.1066     0.0224
         -0.1214    -0.1646    -0.2447    -0.2803    -0.3086    -0.3136    -0.2682    -0.2008    -0.1092    -0.0246




    CORRELATION BETWEEN ORIGINAL AND FITTED VECTORS FOR PROPERTY NO.  1 IS   -0.798 , RSQ=   0.636


          PLOT OF ORIGINAL (X-AXIS) VERSUS OBTAINED (Y-AXIS)FOR PROPERTY VECTOR NO.  1
          PROPERTY NAME :    PROPERTY NUMBER ONE.                                                         


     OBTAINED
     VALUES
                   !
             0.64  !                *                                                               
             0.61  !                    *                                                           
                   !
             0.56  !            *                                                                   
                   !
                   !
                   !
             0.54  !                        *                                                       
             0.53  !        *                                                                       
             0.50  !    *                                                                           
                   !
             0.44  !                             *                                                  
                   !
                   !
                   !
                   !
             0.42  !*                                                                               
             0.34  !                                 *                                              
                   !
                   !
                   !
                   !
                   !
             0.29  !                                     *                                          
                   !
                   !
                   !
             0.21  !                                                                               *
                   !
                   !
                   !
                   !
                   !
             0.20  !                                                                          *     
             0.16  !                                         *                                      
                   !
                   !
             0.12  !                                             *                                  
                   !
                   !
             0.08  !                                                                      *         
                   !
                   !
             0.05  !                                                 *                              
                   !
             0.04  !                                                                  *             
             0.01  !                                                      *                         
                   !
             0.01  !                                                          *                     
                   +--------------------------------------------------------------------------------
                      0.10      0.34      0.57      0.81      1.05      1.29      1.52      1.76    
                                            ORIGINAL  VALUES 
    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             



    PROPERTY NO :    2
    PROPERTY NAME  :     PROPERTY NUMBER TWO.                                                         



  MOMENTS
            1              2              3              4
      0.566510E+04   0.656594E+06  -0.739582E+08   0.225714E+13

  SKEWNESS=     -0.139008     KURTOSIS=      1.745193

  THE STANDARDIZED INDEX OF NONLINEAR CORRELATION

  Z=      -3.97884     ZSQ=      15.83116


    ORIGINAL VALUES ON PROPERTY NO :    2
    PROPERTY NAME :     PROPERTY NUMBER TWO.                                                         

          1.8000     0.6000     0.2000     0.4000     0.9000     1.7000     1.1000     0.7000     2.0000     1.6000
          1.2000     1.9000     0.5000     0.8000     1.0000     1.3000     1.5000     0.1000     1.4000     0.3000

   PROJECTIONS ON FITTED VECTORS
          0.3203     0.1965    -0.3234    -0.1830     0.2245     0.2794    -0.1790     0.2347     0.0361     0.2013
         -0.3147     0.1979     0.0379     0.2795     0.0098    -0.2849    -0.0483    -0.2044    -0.1908    -0.2894




    CORRELATION BETWEEN ORIGINAL AND FITTED VECTORS FOR PROPERTY NO.  2 IS    0.399 , RSQ=   0.159


          PLOT OF ORIGINAL (X-AXIS) VERSUS OBTAINED (Y-AXIS)FOR PROPERTY VECTOR NO.  2
          PROPERTY NAME :    PROPERTY NUMBER TWO.                                                         


     OBTAINED
     VALUES
             0.60  !                                                                      *         
                   !
                   !
                   !
             0.56  !                             *                                    *             
                   !
                   !
             0.55  !                        *                                                       
             0.53  !                                 *                                              
                   !
             0.37  !                    *                                         *           *     
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
             0.34  !                *                                                              *
                   !
             0.28  !                                     *                                          
                   !
                   !
                   !
                   !
             0.14  !                                                          *                     
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
                   !
             0.13  !            *                            *            *                         
             0.04  !*                                                                               
                   !
                   !
                   !
                   !
                   !
                   !
             0.01  !        *                                        *                              
                   !
             0.01  !    *                                                                           
                   +--------------------------------------------------------------------------------
                      0.10      0.34      0.57      0.81      1.05      1.29      1.52      1.76    
                                            ORIGINAL  VALUES 
    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             



    PROPERTY NO :    3
    PROPERTY NAME  :     PROPERTY NUMBER THREE.                                                       



  MOMENTS
            1              2              3              4
      0.566510E+04   0.656594E+06  -0.739582E+08   0.225714E+13

  SKEWNESS=     -0.139008     KURTOSIS=      1.745193

  THE STANDARDIZED INDEX OF NONLINEAR CORRELATION

  Z=      -6.25406     ZSQ=      39.11326


    ORIGINAL VALUES ON PROPERTY NO :    3
    PROPERTY NAME :     PROPERTY NUMBER THREE.                                                       

          1.5000     0.1000     1.8000     0.4000     1.7000     1.1000     1.4000     0.2000     1.6000     0.3000
          0.8000     1.0000     1.9000     0.7000     1.2000     1.3000     0.9000     0.5000     0.6000     2.0000

   PROJECTIONS ON FITTED VECTORS
          0.1391    -0.2635     0.3170    -0.2209     0.2592    -0.0390     0.0837    -0.2558     0.1938    -0.2352
         -0.1391    -0.0742     0.3975    -0.1607    -0.0055     0.0338    -0.1127    -0.2076    -0.1851     0.4775




    CORRELATION BETWEEN ORIGINAL AND FITTED VECTORS FOR PROPERTY NO.  3 IS    0.969 , RSQ=   0.939


          PLOT OF ORIGINAL (X-AXIS) VERSUS OBTAINED (Y-AXIS)FOR PROPERTY VECTOR NO.  3
          PROPERTY NAME :    PROPERTY NUMBER THREE.                                                       


     OBTAINED
     VALUES
                   !
             0.67  !                                                                               *
                   !
                   !
                   !
                   !
             0.59  !                                                                          *     
                   !
                   !
                   !
                   !
             0.53  !                                                                      *         
                   !
                   !
                   !
             0.47  !                                                                  *             
                   !
                   !
                   !
             0.41  !                                                              *                 
                   !
                   !
                   !
             0.35  !                                                          *                     
                   !
                   !
                   !
             0.30  !                                                      *                         
                   !
                   !
             0.27  !                                                 *                              
                   !
             0.23  !                                             *                                  
                   !
                   !
             0.20  !                                         *                                      
                   !
             0.15  !                                     *                                          
                   !
                   !
             0.14  !                                 *                                              
             0.11  !                             *                                                  
                   !
             0.09  !                        *                                                       
             0.06  !                    *                                                           
                   !
             0.05  !                *                                                               
             0.03  !            *                                                                   
             0.02  !        *                                                                       
             0.02  !    *                                                                           
                   +--------------------------------------------------------------------------------
                      0.10      0.34      0.57      0.81      1.05      1.29      1.52      1.76    
                                            ORIGINAL  VALUES 
    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             



    PROPERTY NO :    4
    PROPERTY NAME  :     PROPERTY NUMBER FOUR.                                                        



  MOMENTS
            1              2              3              4
      0.566510E+04   0.656594E+06  -0.739582E+08   0.225714E+13

  SKEWNESS=     -0.139008     KURTOSIS=      1.745193

  THE STANDARDIZED INDEX OF NONLINEAR CORRELATION

  Z=      -6.32223     ZSQ=      39.97064


    ORIGINAL VALUES ON PROPERTY NO :    4
    PROPERTY NAME :     PROPERTY NUMBER FOUR.                                                        

          1.8000     1.3000     0.2000     0.6000     1.9000     0.9000     0.8000     0.1000     1.7000     1.5000
          0.4000     1.6000     2.0000     1.2000     1.4000     1.1000     0.3000     0.5000     0.7000     1.0000

   PROJECTIONS ON FITTED VECTORS
          0.2933     0.0988    -0.3308    -0.1756     0.3309    -0.0536    -0.0982    -0.3625     0.2510     0.1757
         -0.2548     0.2141     0.3663     0.0610     0.1344     0.0150    -0.2898    -0.2150    -0.1377    -0.0226




    CORRELATION BETWEEN ORIGINAL AND FITTED VECTORS FOR PROPERTY NO.  4 IS    1.000 , RSQ=   1.000


          PLOT OF ORIGINAL (X-AXIS) VERSUS OBTAINED (Y-AXIS)FOR PROPERTY VECTOR NO.  4
          PROPERTY NAME :    PROPERTY NUMBER FOUR.                                                        


     OBTAINED
     VALUES
                   !
             0.70  !                                                                               *
                   !
             0.67  !                                                                          *     
                   !
             0.62  !                                                                      *         
                   !
                   !
             0.58  !                                                                  *             
                   !
                   !
             0.55  !                                                              *                 
                   !
             0.51  !                                                          *                     
                   !
                   !
             0.48  !                                                      *                         
                   !
             0.43  !                                                 *                              
                   !
                   !
             0.39  !                                             *                                  
                   !
                   !
             0.34  !                                         *                                      
                   !
                   !
             0.31  !                                     *                                          
                   !
             0.27  !                                 *                                              
                   !
                   !
             0.24  !                             *                                                  
                   !
             0.19  !                        *                                                       
                   !
                   !
             0.15  !                    *                                                           
                   !
                   !
             0.12  !                *                                                               
                   !
             0.07  !            *                                                                   
                   !
                   !
             0.04  !        *                                                                       
                   !
             0.01  !    *                                                                           
                   !
                   !
                   +--------------------------------------------------------------------------------
                      0.10      0.34      0.57      0.81      1.05      1.29      1.52      1.76    
                                            ORIGINAL  VALUES 
    PROFIT TEST DATA.                                                
    ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             






    ================================================
   RESULTS OF THE NON-LINEAR REGESSION PROCEDURE
    ================================================



    INDEX TYPE = CARROLL'S  KAPPA
    -------------------------------


TABLE 1.  THE SMALLEST EIGEN ROOT ASSOCIATED
          WITH EACH PROPERTY

            ROOT        PROPERTY
   1        51.8637      PROPERTY NUMBER ONE.                                                         
   2       128.4754      PROPERTY NUMBER TWO.                                                         
   3        31.4426      PROPERTY NUMBER THREE.                                                       
   4        28.5352      PROPERTY NUMBER FOUR.                                                        

TABLE 2.  DIRECTION COSINES OF FITTED VECTORS
           IN NORMALIZED SPACE

                    DIMENSION

   VECTOR    1        2        3        4
     1      0.0786   0.9658   0.2453   0.0305
     2     -0.1990   0.0426   0.8336  -0.5135
     3      0.9999   0.0050  -0.0118  -0.0111
     4      0.3890  -0.3078   0.8509   0.1731



TABLE 3.  COSINE OF ANGLES BETWEEN VECTORS

   VECTOR    1        2        3        4
     2      0.2143
     3      0.0802  -0.2029
     4     -0.0527   0.5300   0.3754



TABLE 4.  DIRECTION COSINES OF FITTED VECTORS
           IN ORIGINAL SPACE

                    DIMENSION

   VECTORS    1        2        3        4
     1      0.9939  -0.0901  -0.0078   0.0630
     2      0.0171  -0.9952  -0.0039   0.0961
     3      0.0261  -0.0112   0.9986   0.0438
     4      0.0014  -0.0206   0.0003   0.9998
STIMULUS SPACE IN  4 DIMENSIONS
    1  0.3090   -0.4760    1.1269    0.7500  
    2  0.5880   -0.2940   -2.2501    0.2500  
    3  0.8090    0.4760    2.6949   -0.8500  
    4  0.9510    0.2940   -1.8631   -0.4500  
    5  1.0000   -0.2940    2.1189    0.8500  
    6  0.9510   -0.4760   -0.3511   -0.1500  
    7  0.8090    0.2940    0.6999   -0.2500  
    8  0.5880   -0.4760   -2.1341   -0.9500  
    9  0.3090    0.0000    1.5979    0.6500  
   10  0.0000   -0.2940   -2.0051    0.4500  
   11 -0.3090    0.4760   -1.1301   -0.6500  
   12 -0.5880   -0.2940   -0.6371    0.5500  
   13 -0.8090    0.0000    3.3309    0.9500  
   14 -0.9510   -0.4760   -1.3411    0.1500  
   15 -1.0000    0.0000   -0.0351    0.3500  
   16 -0.9510    0.4760    0.3139    0.0500  
   17 -0.8090    0.0000   -0.8951   -0.7500  
   18 -0.5880    0.2940   -1.7061   -0.5500  
   19 -0.3090    0.2940   -1.5331   -0.3500  
   20  0.0000    0.4760    4.0339   -0.0500  

           TABLE OF RESIDUALS
          ------------------

          1          2          3          4     
  1    -0.0234     1.4797     1.3609     1.5067
  2    -0.0047     0.4035     0.3635     1.2012
  3     0.0819     0.5234     1.4830     0.5308
  4     0.1125     0.5830     0.6209     0.7756
  5     0.1641     0.6755     1.4408     1.5691
  6     0.2883     1.4206     1.1390     0.9536
  7     0.4597     1.2790     1.3163     0.8982
  8     0.6144     0.4653     0.4558     0.4625
  9     0.7934     1.9639     1.4062     1.4490
 10     0.9776     1.3987     0.5352     1.3243
 11     1.2214     1.5147     0.9391     0.6548
 12     1.3646     1.7021     1.0742     1.3859
 13     1.5447     0.4621     1.5025     1.6337
 14     1.6803     0.5205     0.8607     1.1390
 15     1.8086     0.9902     1.2055     1.2656
 16     1.9136     1.5849     1.2662     1.0850
 17     1.9682     1.5483     1.0127     0.5898
 18     2.0008     0.3044     0.7076     0.7150
 19     2.0092     1.5908     0.7851     0.8377
 20     2.0246     0.5894     1.5225     1.0226


PROFIT TEST DATA.                                                
ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             


 HISTOGRAM OF LOG RESIDUALS

      FREQUENCY 

       20!                                                                                 ***      
       19!                                                                                 ***      
       18!                                                                                 ***      
       17!                                                                                 ***      
       16!                                                                                 ***      
       15!                                                                                 ***      
       14!                                                                                 ***      
       13!                                                                                 ***      
       12!                                                                                 ***      
       11!                                                                              ******      
       10!                                                                              ******      
        9!                                                                              *********   
        8!                                                                     ***   ************   
        7!                                                                     ***   ************   
        6!                                                               ***   ******************   
        5!                                                               ***   ******************   
        4!                                                               ************************   
        3!                                                               ************************   
        2!                                                         ***   ************************   
        1!***                  ***               ***   ***   ***   ******************************   
         !!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!!=!
 LOG     -2.332         -1.877         -1.422         -0.968         -0.513         -0.058          0.397
 ACTUAL   0.005          0.013          0.038          0.108          0.307          0.876          2.497
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  2 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                2
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                           5 21                                                        !  28
      0.97  !                                        6           7   3                                              !  24
      0.81  !                                                                                                       !  20
      0.65  !                                        8  2                                                           !  16
      0.48  !                                                                                                       !  12
      0.32  !                                        1     9                                                        !   8
      0.16  !                                 22       10 24        20                                              !   4
DIMENSION  1                                                     +                                                   
     -0.16  !                                                                                                       !  -4
     -0.32  !                                                   19  11                                              !  -8
     -0.48  !                                                                                                       ! -12
     -0.65  !                                          12       18                                                  ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                       14    17        16                                              ! -24
     -1.13  !                                             15                                                        ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  24 OVERLAYS POINT(S)   23
POINT  17 OVERLAYS POINT(S)   13
POINT   7 OVERLAYS POINT(S)    4
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  3 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                3
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                             21                           5                            !  28
      0.97  !                                           6            7                          3                   !  24
      0.81  !                                                                                                       !  20
      0.65  !                   2  8                                                                                !  16
      0.48  !                                                                                                       !  12
      0.32  !                                                              1     9                                  !   8
      0.16  !                     10                      22 24                                               20    !   4
DIMENSION  1                                                     +                                                   
     -0.16  !                                                                                                       !  -4
     -0.32  !                           19    11                                                                    !  -8
     -0.48  !                                                                                                       ! -12
     -0.65  !                        18             12                                                              ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                              14    17             16                                                  ! -24
     -1.13  !                                             15                                                        ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  4 PLOTTED AGAINST DIMENSION  1                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                21         5                                           !  28
      0.97  !                                     3     7  6                                                        !  24
      0.81  !                                                                                                       !  20
      0.65  !                                  8                 2                                                  !  16
      0.48  !                                                                                                       !  12
      0.32  !                                                        9  1                                           !   8
      0.16  !                                             20 22 10        24                                        !   4
DIMENSION  1                                                     +                                                   
     -0.16  !                                                                                                       !  -4
     -0.32  !                                       11 19                                                           !  -8
     -0.48  !                                                                                                       ! -12
     -0.65  !                                       18              12                                              ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                    17          16                                                     ! -24
     -1.13  !                                                   15                                                  ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  16 OVERLAYS POINT(S)   14
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  3 PLOTTED AGAINST DIMENSION  2                   DIMENSION
                                                                3
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                                                                       !  28
      0.97  !                                                                                                       !  24
      0.81  !                                                                                                       !  20
      0.65  !                                                                                                       !  16
      0.48  !                                 11                16                              3             20    !  12
      0.32  !                        18 19                           7                                              !   8
      0.16  !                                    17       15                     9                      13          !   4
DIMENSION  2                                                     +                                                   
     -0.16  !                                             21 24           23                                        !  -4
     -0.32  !                   2 10                12                                 5                            !  -8
     -0.48  !                      8       14           6                  1                                        ! -12
     -0.65  !                                                                                                       ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                                                                                       ! -24
     -1.13  !                                             22                                                        ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  18 OVERLAYS POINT(S)    4
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  4 PLOTTED AGAINST DIMENSION  2                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                                                                                       ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                                                                       !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                                                                                       !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                                                                       !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                                                                       !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                                                                       !  28
      0.97  !                                                                                                       !  24
      0.81  !                                                                                                       !  20
      0.65  !                                                                                                       !  16
      0.48  !                                     3 11    20 16                                                     !  12
      0.32  !                                       18 19                                                           !   8
      0.16  !                                    17             15   9    13                                        !   4
DIMENSION  2                                                     +                                                   
     -0.16  !                                                23           24                                        !  -4
     -0.32  !                                                   10  12  5                                           !  -8
     -0.48  !                                  8           6 14         1                                           ! -12
     -0.65  !                                                                                                       ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                                                                                       ! -24
     -1.13  !                                                22                                                     ! -28
     -1.29  !                                                                                                       ! -32
     -1.45  !                                                                                                       ! -36
     -1.61  !                                                                                                       ! -40
     -1.77  !                                                                                                       ! -44
     -1.94  !                                                                                                       ! -48
     -2.10  !                                                                                                       ! -52
     -2.26  !                                                                                                       ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  23 OVERLAYS POINT(S)   21
POINT  19 OVERLAYS POINT(S)    7
POINT  10 OVERLAYS POINT(S)    2
PROFIT TEST DATA.                                                  ARTIFICIAL DATA 20 POINTS 4 DIMENSIONS 4 PROPERTIES.             
 STIMULUS POINTS AND DIRECTION COSINES OF FITTED PROPERTY VECTORS
DIMENSION  4 PLOTTED AGAINST DIMENSION  3                   DIMENSION
                                                                4
             -100  -90  -80  -70  -60  -50  -40  -30  -20  -10  *   10   20   30   40   50   60   70   80   90  100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
      4.03  !                                             20                                                        ! 100
      3.87  !                                                                                                       !  96
      3.71  !                                                                                                       !  92
      3.55  !                                                                                                       !  88
      3.39  !                                                             13                                        !  84
      3.23  !                                                                                                       !  80
      3.07  !                                                                                                       !  76
      2.90  !                                                                                                       !  72
      2.74  !                                     3                                                                 !  68
      2.58  !                                                                                                       !  64
      2.42  !                                                                                                       !  60
      2.26  !                                                           5                                           !  56
      2.10  !                                                                                                       !  52
      1.94  !                                                                                                       !  48
      1.77  !                                                                                                       !  44
      1.61  !                                                        9                                              !  40
      1.45  !                                                                                                       !  36
      1.29  !                                                                                                       !  32
      1.13  !                                                23         1                                           !  28
      0.97  !                                                                                                       !  24
      0.81  !                                           7                                                           !  20
      0.65  !                                                                                                       !  16
      0.48  !                                                                                                       !  12
      0.32  !                                                16                                                     !   8
      0.16  !                                                             24                                        !   4
DIMENSION  3                                                     +                                                   
     -0.16  !                                                22 15                                                  !  -4
     -0.32  !                                                                                                       !  -8
     -0.48  !                                              6                                                        ! -12
     -0.65  !                                                       12                                              ! -16
     -0.81  !                                                                                                       ! -20
     -0.97  !                                    17                                                                 ! -24
     -1.13  !                                                                                                       ! -28
     -1.29  !                                       11                                                              ! -32
     -1.45  !                                                14                                                     ! -36
     -1.61  !                                          19                                                           ! -40
     -1.77  !                                       18                                                              ! -44
     -1.94  !                                           4                                                           ! -48
     -2.10  !                                                   10                                                  ! -52
     -2.26  !                                  8                 2                                                  ! -56
     -2.42  !                                                                                                       ! -60
     -2.58  !                                                                                                       ! -64
     -2.74  !                                                                                                       ! -68
     -2.90  !                                                                                                       ! -72
     -3.07  !                                                                                                       ! -76
     -3.23  !                                                                                                       ! -80
     -3.39  !                                                                                                       ! -84
     -3.55  !                                                                                                       ! -88
     -3.71  !                                                                                                       ! -92
     -3.87  !                                                                                                       ! -96
     -4.03  !                                                                                                       !-100
             .+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+....+.
         -4.03-3.63-3.23-2.82-2.42-2.02-1.61-1.21-0.81-0.40    * 0.40 0.81 1.21 1.61 2.02 2.42 2.82 3.23 3.63 4.03
POINT  22 OVERLAYS POINT(S)   21
POINTS 1 TO  20 ARE STIMULI, POINTS  21 TO  24 ARE SUBJECT VECTORS            34.     FINISH                                                                          



                   NORMAL END OF RUN.     34 CONTROL CARDS,      0 ERRORS,      0 WARNINGS.
