Output from carpref.sas	Source 0 Graphs

                               CAR PREFERENCES                               1
                   PRINCIPAL COMPONENTS OF THE PREFERENCES

Initial Factor Method: Principal Components

                     Prior Communality Estimates: ONE

       Eigenvalues of the Correlation Matrix:  Total = 25  Average = 1

                          1           2           3           4           5
   Eigenvalue       10.8857      5.8507      2.0429      1.5222      1.2143
   Difference        5.0350      3.8078      0.5208      0.3078      0.2565
   Proportion        0.4354      0.2340      0.0817      0.0609      0.0486
   Cumulative        0.4354      0.6695      0.7512      0.8121      0.8606

                          6           7           8           9          10
   Eigenvalue        0.9579      0.7381      0.5884      0.3767      0.2676
   Difference        0.2197      0.1497      0.2117      0.1091      0.0774
   Proportion        0.0383      0.0295      0.0235      0.0151      0.0107
   Cumulative        0.8989      0.9285      0.9520      0.9671      0.9778

                         11          12          13          14          15
   Eigenvalue        0.1902      0.1438      0.1088      0.0481      0.0424
   Difference        0.0464      0.0349      0.0607      0.0057      0.0203
   Proportion        0.0076      0.0058      0.0044      0.0019      0.0017
   Cumulative        0.9854      0.9911      0.9955      0.9974      0.9991

                         16          17          18          19          20
   Eigenvalue        0.0222      0.0000      0.0000      0.0000      0.0000
   Difference        0.0222      0.0000      0.0000      0.0000      0.0000
   Proportion        0.0009      0.0000      0.0000      0.0000      0.0000
   Cumulative        1.0000      1.0000      1.0000      1.0000      1.0000

                         21          22          23          24          25
   Eigenvalue        0.0000      0.0000      0.0000      0.0000      0.0000
   Difference        0.0000      0.0000      0.0000      0.0000
   Proportion        0.0000      0.0000      0.0000      0.0000      0.0000
   Cumulative        1.0000      1.0000      1.0000      1.0000      1.0000

             2 factors will be retained by the NFACTOR criterion.

                               CAR PREFERENCES                               2
                   PRINCIPAL COMPONENTS OF THE PREFERENCES

Initial Factor Method: Principal Components

                          Scree Plot of Eigenvalues

     |
  12 +
     |
     |
     |
     |      1
     |
     |
  10 +
     |
     |
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     |
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   8 +
E    |
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g    |
e    |
n    |
v    |
a  6 +
l    |        2
u    |
e    |
s    |
     |
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   4 +
     |
     |
     |
     |
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   2 +           3
     |
     |             4
     |                5
     |                  6  7
     |                       8
     |                          9 0  1 2
   0 +                                    3 4  5 6  7 8  9 0  1 2  3 4  5
     ----+----+----+----+----+----+----+----+----+----+----+----+----+----+---
         0    2    4    6    8   10   12   14   16   18   20   22   24   26

                                       Number

                               CAR PREFERENCES                               3
                   PRINCIPAL COMPONENTS OF THE PREFERENCES

Initial Factor Method: Principal Components

                                Factor Pattern

                                    FACTOR1   FACTOR2

                         PREF1      0.95472   0.04611
                         PREF2      0.28769   0.62196
                         PREF3      0.77144  -0.31847
                         PREF4      0.50731   0.73186
                         PREF5      0.48235   0.70863
                         PREF6      0.27199   0.69497
                         PREF7      0.79219  -0.16281
                         PREF8      0.51624  -0.04578
                         PREF9     -0.49910   0.72619
                         PREF10     0.93229  -0.20638
                         PREF11     0.85397   0.12460
                         PREF12     0.83323  -0.10429
                         PREF13     0.94222  -0.01972
                         PREF14     0.83153   0.18107
                         PREF15     0.85629  -0.18935
                         PREF16     0.00038   0.80219
                         PREF17     0.11363   0.65513
                         PREF18     0.72989   0.59975
                         PREF19     0.78325   0.11341
                         PREF20     0.76359  -0.58252
                         PREF21     0.08633   0.66155
                         PREF22     0.23651  -0.45238
                         PREF23    -0.75218   0.35942
                         PREF24    -0.17413  -0.74926
                         PREF25    -0.76311   0.16776

                      Variance explained by each factor

                                FACTOR1   FACTOR2
                              10.885720  5.850728

                               CAR PREFERENCES                               4
                   PRINCIPAL COMPONENTS OF THE PREFERENCES

Initial Factor Method: Principal Components

                Final Communality Estimates: Total = 16.736448

         PREF1     PREF2     PREF3     PREF4     PREF5     PREF6     PREF7

      0.913610  0.469601  0.696542  0.792974  0.734808  0.556962  0.654079

         PREF8     PREF9    PREF10    PREF11    PREF12    PREF13    PREF14

      0.268602  0.776445  0.911763  0.744788  0.705143  0.888174  0.724220

        PREF15    PREF16    PREF17    PREF18    PREF19    PREF20    PREF21

      0.769084  0.643511  0.442104  0.892441  0.626349  0.922400  0.445100

        PREF22    PREF23    PREF24    PREF25

      0.260587  0.694963  0.591717  0.610480

                 Scoring Coefficients Estimated by Regression

       Squared Multiple Correlations of the Variables with each Factor

                                FACTOR1   FACTOR2
                               1.000000  1.000000

                               CAR PREFERENCES                               5
                   PRINCIPAL COMPONENTS OF THE PREFERENCES

Initial Factor Method: Principal Components

                      Standardized Scoring Coefficients

                                    FACTOR1   FACTOR2

                         PREF1      0.20062  -1.75622
                         PREF2      0.10021   0.53342
                         PREF3     -0.06971   0.75344
                         PREF4      0.02229   0.57450
                         PREF5      0.05182   1.79325
                         PREF6      0.03866  -0.44828
                         PREF7      0.05783   0.39470
                         PREF8      0.08308  -0.93087
                         PREF9     -0.25546   0.32326
                         PREF10     0.08904   1.90543
                         PREF11     0.20806   0.89427
                         PREF12     0.12745  -1.38007
                         PREF13    -0.04729  -1.50627
                         PREF14     0.15479   0.62575
                         PREF15     0.13938  -0.29690
                         PREF16     0.03519  -0.82888
                         PREF17     0.00000   0.00000
                         PREF18     0.00000   0.00000
                         PREF19     0.00000   0.00000
                         PREF20     0.00000   0.00000
                         PREF21     0.00000   0.00000
                         PREF22     0.00000   0.00000
                         PREF23     0.00000   0.00000
                         PREF24     0.00000   0.00000
                         PREF25     0.00000   0.00000

                               CAR PREFERENCES                               6
                   PRINCIPAL COMPONENTS OF THE PREFERENCES

Initial Factor Method: Principal Components

                Plot of Factor Pattern for FACTOR1 and FACTOR2

                                    FACTOR1
                                       1
                                J     M A
                                      .9
                                 O L      K N
                                  G   .8  S
                     T       C                          R
                                      .7

                                      .6

                                     H.5                    D

                                      .4

                                      .3                 B
                         V                                 F
                                      .2
                                                                       F
                                      .1                  Q            A
                                                                       C
       -1 -.9-.8-.7-.6-.5-.4-.3-.2-.1  0 .1 .2 .3 .4 .5 .6 .7 .P .9 1.0T
                                                                       O
                                     -.1                               R
                X                                                      2
                                     -.2

                                     -.3

                                     -.4

                                     -.5                    I

                                     -.6

                                     -.7
                                            Y    W
                                     -.8

                                     -.9

                                      -1

PREF1   =A    PREF2   =B    PREF3   =C    PREF4   =D    PREF5   =D
PREF6   =F    PREF7   =G    PREF8   =H    PREF9   =I    PREF10  =J
PREF11  =K    PREF12  =L    PREF13  =M    PREF14  =N    PREF15  =O
PREF16  =P    PREF17  =Q    PREF18  =R    PREF19  =S    PREF20  =T
PREF21  =Q    PREF22  =V    PREF23  =W    PREF24  =X    PREF25  =Y

                               CAR PREFERENCES                               7
                         OUTSTAT data set from FACTOR

 OBS  _TYPE_     _NAME_       PREF1    PREF2       PREF3    PREF4     PREF5

   1  MEAN                   2.5294    4.2353     2.4706    5.7647    4.1765
   2  STD                    3.9230    2.7048     2.5768    2.3593    3.6612
   3  N                     17.0000   17.0000    17.0000   17.0000   17.0000
   4  COMMUNAL               0.9136    0.4696     0.6965    0.7930    0.7348
   5  PRIORS                 1.0000    1.0000     1.0000    1.0000    1.0000
   6  EIGENVAL              10.8857    5.8507     2.0429    1.5222    1.2143
   7  PATTERN    FACTOR1     0.9547    0.2877     0.7714    0.5073    0.4823
   8  PATTERN    FACTOR2     0.0461    0.6220    -0.3185    0.7319    0.7086
   9  SCORE      FACTOR1     0.2006    0.1002    -0.0697    0.0223    0.0518
  10  SCORE      FACTOR2    -1.7562    0.5334     0.7534    0.5745    1.7933

 OBS     PREF6     PREF7     PREF8     PREF9    PREF10   PREF11    PREF12

   1    3.7059    4.1176    5.8235    1.8824    4.9412   2.9412    4.5294
   2    4.5657    3.4620    1.5904    2.8697    2.5610   2.8825    3.1048
   3   17.0000   17.0000   17.0000   17.0000   17.0000  17.0000   17.0000
   4    0.5570    0.6541    0.2686    0.7764    0.9118   0.7448    0.7051
   5    1.0000    1.0000    1.0000    1.0000    1.0000   1.0000    1.0000
   6    0.9579    0.7381    0.5884    0.3767    0.2676   0.1902    0.1438
   7    0.2720    0.7922    0.5162   -0.4991    0.9323   0.8540    0.8332
   8    0.6950   -0.1628   -0.0458    0.7262   -0.2064   0.1246   -0.1043
   9    0.0387    0.0578    0.0831   -0.2555    0.0890   0.2081    0.1274
  10   -0.4483    0.3947   -0.9309    0.3233    1.9054   0.8943   -1.3801

 OBS    PREF13    PREF14     PREF15     PREF16    PREF17    PREF18    PREF19

   1    2.7647    4.5294     3.0588     4.1765    5.8235    4.9412    4.2353
   2    3.3453    2.8748     3.3629     2.5307    2.6980    2.5610    3.0317
   3   17.0000   17.0000    17.0000    17.0000   17.0000   17.0000   17.0000
   4    0.8882    0.7242     0.7691     0.6435    0.4421    0.8924    0.6263
   5    1.0000    1.0000     1.0000     1.0000    1.0000    1.0000    1.0000
   6    0.1088    0.0481     0.0424     0.0222    0.0000    0.0000    0.0000
   7    0.9422    0.8315     0.8563     0.0004    0.1136    0.7299    0.7833
   8   -0.0197    0.1811    -0.1894     0.8022    0.6551    0.5997    0.1134
   9   -0.0473    0.1548     0.1394     0.0352    0.0000    0.0000    0.0000
  10   -1.5063    0.6258    -0.2969    -0.8289    0.0000    0.0000    0.0000

 OBS    PREF20     PREF21      PREF22      PREF23      PREF24      PREF25

   1    5.4118     5.5882      5.6471      4.3529      3.7647      5.5882
   2    2.7400     2.6939      2.0292      3.4989      3.4736      3.0631
   3   17.0000    17.0000     17.0000     17.0000     17.0000     17.0000
   4    0.9224     0.4451      0.2606      0.6950      0.5917      0.6105
   5    1.0000     1.0000      1.0000      1.0000      1.0000      1.0000
   6    0.0000     0.0000      0.0000      0.0000      0.0000      0.0000
   7    0.7636     0.0863      0.2365     -0.7522     -0.1741     -0.7631
   8   -0.5825     0.6615     -0.4524      0.3594     -0.7493      0.1678
   9    0.0000     0.0000      0.0000      0.0000      0.0000      0.0000
  10    0.0000     0.0000      0.0000      0.0000      0.0000      0.0000

                               CAR PREFERENCES                               8
                     Sorted By First Principal Component

                    MAKE          MODEL           FACTOR1

                    FORD          PINTO          -1.06838
                    PLYMOUTH      GRAN FURY      -0.92325
                    LINCOLN       CONTINENTAL    -0.85339
                    CADILLAC      ELDORADO       -0.83181
                    CHEVROLET     CHEVETTE       -0.80444
                    PLYMOUTH      VOLARE         -0.50161
                    PONTIAC       FIREBIRD       -0.48918
                    FORD          FAIRMONT       -0.43014
                    CHEVROLET     MALIBU         -0.40962
                    FORD          MUSTANG        -0.39557
                    PLYMOUTH      HORIZON        -0.35713
                    CHEVROLET     CITATION       -0.05937
                    HONDA         CIVIC           0.92715
                    VOLKSWAGEN    DASHER          1.35410
                    HONDA         ACCORD          1.36506
                    VOLKSWAGEN    RABBIT          1.41912
                    VOLVO         DL              2.05842

                               CAR PREFERENCES                               9
                     Sorted By Second Principal Component

                    MAKE          MODEL           FACTOR2

                    CHEVROLET     CHEVETTE       -1.42861
                    FORD          PINTO          -1.38355
                    FORD          FAIRMONT       -0.89373
                    CHEVROLET     CITATION       -0.87198
                    HONDA         CIVIC          -0.45266
                    PLYMOUTH      HORIZON        -0.41523
                    PLYMOUTH      VOLARE         -0.22533
                    FORD          MUSTANG        -0.19366
                    VOLKSWAGEN    RABBIT         -0.06966
                    CHEVROLET     MALIBU         -0.03711
                    HONDA         ACCORD          0.10589
                    PLYMOUTH      GRAN FURY       0.13692
                    VOLKSWAGEN    DASHER          0.22998
                    VOLVO         DL              0.37856
                    PONTIAC       FIREBIRD        0.87260
                    CADILLAC      ELDORADO        2.07163
                    LINCOLN       CONTINENTAL     2.17594

                               CAR PREFERENCES                              10
                  PLOT OF THE FIRST TWO PRINCIPAL COMPONENTS

            Plot of FACTOR2*FACTOR1.  Symbol is value of ORIGIN.

FACTOR2 |
    2.5 +
        |
        |
        |            F
        |             G
    2.0 +
        |
        |
        |
        |
    1.5 +
        |
        |
        |
        |
    1.0 +
        |                  G
        |
        |
        |
    0.5 +
        |                                                           E
        |
        |                                                E
        |           C                                    J
    0.0 +                   G
        |                                                 E
        |                  C F
        |
        |                    C
   -0.5 +                                         J
        |
        |
        |
        |                   F     G
   -1.0 +
        |
        |
        |
        |         F   G
   -1.5 +
        |
        ---+-------+-------+-------+-------+-------+-------+-------+-------+--
         -1.5    -1.0    -0.5     0.0     0.5     1.0     1.5     2.0     2.5

                                        FACTOR1

                               CAR PREFERENCES                              11
                  PLOT OF THE FIRST TWO PRINCIPAL COMPONENTS

            Plot of FACTOR2*FACTOR1$ID.  Symbol points to label.

FACTOR2 |
    2.5 +
        |
        |
        |                > CON
        |                > ELD
    2.0 +
        |
        |
        |
        |
    1.5 +
        |
        |
        |
        |
    1.0 +
        |                     > FIR
        |
        |
        |
    0.5 +
        |                                                      > DL
        |
        |                                             > DAS
        |               > GRA                         > ACC
    0.0 +                      > MAL
        |                                             > RAB
        |                VOL < > MUS
        |
        |                      > HOR
   -0.5 +                                       > CIV
        |
        |
        |
        |                 FAI <    > CIT
   -1.0 +
        |
        |
        |
        |         PIN <   > CHE
   -1.5 +
        |
        --+------------+------------+------------+------------+------------+--
         -2           -1            0            1            2            3

                                        FACTOR1

                               CAR PREFERENCES                              12
                  PLOT OF THE FIRST TWO PRINCIPAL COMPONENTS
                               BIPLOT data set

OBS    _NAME_     FACTOR1     FACTOR2    ORIGIN      MAKE          MODEL

  1    PREF1      0.95472     0.04611
  2    PREF2      0.28769     0.62196
  3    PREF3      0.77144    -0.31847
  4    PREF4      0.50731     0.73186
  5    PREF5      0.48235     0.70863
  6    PREF6      0.27199     0.69497
  7    PREF7      0.79219    -0.16281
  8    PREF8      0.51624    -0.04578
  9    PREF9     -0.49910     0.72619
 10    PREF10     0.93229    -0.20638
 11    PREF11     0.85397     0.12460
 12    PREF12     0.83323    -0.10429
 13    PREF13     0.94222    -0.01972
 14    PREF14     0.83153     0.18107
 15    PREF15     0.85629    -0.18935
 16    PREF16     0.00038     0.80219
 17    PREF17     0.11363     0.65513
 18    PREF18     0.72989     0.59975
 19    PREF19     0.78325     0.11341
 20    PREF20     0.76359    -0.58252
 21    PREF21     0.08633     0.66155
 22    PREF22     0.23651    -0.45238
 23    PREF23    -0.75218     0.35942
 24    PREF24    -0.17413    -0.74926
 25    PREF25    -0.76311     0.16776
 26    +          0.00000     0.00000
 27    .         -0.80444    -1.42861    GMC         CHEVROLET     CHEVETTE
 28    .         -1.06838    -1.38355    FORD        FORD          PINTO
 29    .         -0.43014    -0.89373    FORD        FORD          FAIRMONT
 30    .         -0.05937    -0.87198    GMC         CHEVROLET     CITATION
 31    .          0.92715    -0.45266    JAPAN       HONDA         CIVIC
 32    .         -0.35713    -0.41523    CHRYSLER    PLYMOUTH      HORIZON
 33    .         -0.50161    -0.22533    CHRYSLER    PLYMOUTH      VOLARE
 34    .         -0.39557    -0.19366    FORD        FORD          MUSTANG
 35    .          1.41912    -0.06966    EUROPE      VOLKSWAGEN    RABBIT
 36    .         -0.40962    -0.03711    GMC         CHEVROLET     MALIBU
 37    .          1.36506     0.10589    JAPAN       HONDA         ACCORD
 38    .         -0.92325     0.13692    CHRYSLER    PLYMOUTH      GRAN FURY
 39    .          1.35410     0.22998    EUROPE      VOLKSWAGEN    DASHER
 40    .          2.05842     0.37856    EUROPE      VOLVO         DL
 41    .         -0.48918     0.87260    GMC         PONTIAC       FIREBIRD
 42    .         -0.83181     2.07163    GMC         CADILLAC      ELDORADO
 43    .         -0.85339     2.17594    FORD        LINCOLN       CONTINENTAL

                               CAR PREFERENCES                              13
                  PLOT OF THE FIRST TWO PRINCIPAL COMPONENTS
                   SHOWING BOTH CARS AND PREFERENCE VECTORS

            Plot of FACTOR2*FACTOR1.  Symbol is value of _NAME_.

FACTOR2 |
    2.5 +
        |
        |
        |            .
        |             .
    2.0 +
        |
        |
        |
        |
    1.5 +
        |
        |
        |
        |
    1.0 +
        |                  .
        |                          P
        |                  P        PP P   P
        |                               P      P
    0.5 +
        |              P                                            .
        |
        |              P                        P        .
        |           .                           PP       .
    0.0 +                   .      +       P      P
        |                                       P         .
        |                  . .                  PPP
        |                                      P
        |                    .
   -0.5 +                              P          .
        |                                      P
        |                       P
        |
        |                   .     .
   -1.0 +
        |
        |
        |
        |         .   .
   -1.5 +
        |
        ---+-------+-------+-------+-------+-------+-------+-------+-------+--
         -1.5    -1.0    -0.5     0.0     0.5     1.0     1.5     2.0     2.5

                                        FACTOR1

NOTE: 2 obs hidden.

                               CAR PREFERENCES                              14
                  PLOT OF THE FIRST TWO PRINCIPAL COMPONENTS
                   SHOWING BOTH CARS AND PREFERENCE VECTORS

                             Correlation Analysis

  10 'WITH' Variables:  MPG      RELIABLE ACCEL    BRAKING  HANDLING RIDE
                        VISIBLE  COMFORT  QUIET    CARGO
   2 'VAR'  Variables:  FACTOR1  FACTOR2

                 Pearson Correlation Coefficients  / N = 17

                                    FACTOR1           FACTOR2

                 MPG                0.60289          -0.45661

                 RELIABLE           0.69996           0.13657

                 ACCEL              0.16958           0.21867

                 BRAKING            0.27708          -0.47862

                 HANDLING           0.58163           0.18094

                 RIDE               0.12654           0.56731

                 VISIBLE            0.45048          -0.45278

                 COMFORT            0.26021           0.44702

                 QUIET              0.22059           0.59791

                 CARGO              0.29396           0.07101

                               CAR PREFERENCES                              15
                  PLOT OF THE FIRST TWO PRINCIPAL COMPONENTS
                   SHOWING BOTH CARS AND ATTRIBUTE VECTORS

            Plot of FACTOR2*FACTOR1.  Symbol is value of _NAME_.

FACTOR2 |
    2.5 +
        |
        |
        |            .
        |             .
    2.0 +
        |
        |
        |
        |
    1.5 +
        |
        |
        |
        |
    1.0 +
        |                  .
        |
        |
        |                            R Q
    0.5 +
        |                              C                            .
        |
        |                             A     H            .
        |           .                   C     R          .
    0.0 +                   .      +
        |                                                 .
        |                  . .
        |
        |                    .
   -0.5 +                              B  V  M    .
        |
        |
        |
        |                   .     .
   -1.0 +
        |
        |
        |
        |         .   .
   -1.5 +
        |
        ---+-------+-------+-------+-------+-------+-------+-------+-------+--
         -1.5    -1.0    -0.5     0.0     0.5     1.0     1.5     2.0     2.5

                                        FACTOR1