Cluster Analysis Interpretation Practice

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					Cluster Analysis Interpretation Practice

Cars

Variable Names:

   1.   Country: Nationality of manufacturer (eg. U.S., Japan)
   2.   Car: Car name (Make and model)
   3.   MPG: Miles per gallon, a measure of gas mileage
   4.   Drive_Ratio: Drive ratio of the automobile
   5.   Horsepower: Horsepower
   6.   Displacement: Displacement of the car (in cubic inches)
   7.   Cylinder: Number of cylinders



                                                                    16:54 Tuesday, September 12, 2006   36

                                          The CLUSTER Procedure
                                    Complete Linkage Cluster Analysis

                                   Eigenvalues of the Covariance Matrix

                              Eigenvalue      Difference      Proportion   Cumulative

                         1    732.858074      722.968432          0.9864       0.9864
                         2      9.889641        9.691164          0.0133       0.9997
                         3      0.198477        0.175435          0.0003       1.0000
                         4      0.023043                          0.0000       1.0000

                     Root-Mean-Square Total-Sample Standard Deviation = 13.62873
                     Mean Distance Between Observations               = 32.08764


                                               Cluster History
                                                                                               Norm     T


                                                                                                             1
                                                                                  Max   i
NCL   --Clusters Joined--   FREQ    SPRSQ   RSQ    ERSQ    CCC   PSF    PST2     Dist   e

15    CL22      CL31          7    0.0012   .992   .       .      214    6.5   0.2038
14    CL28      OB31          3    0.0009   .991   .       .      214    6.3   0.2272
13    CL16      OB24          4    0.0010   .990   .       .      217    2.7   0.2411
12    CL15      OB34          8    0.0010   .990   .       .      223    2.7   0.2451
11    CL17      CL33          6    0.0031   .986   .       .      196   10.5   0.3555
10    CL19      CL30          5    0.0037   .983   .       .      177   12.3   0.3796
 9    CL23      CL18          6    0.0034   .979   .       .      171   10.7   0.4105
 8    OB14      CL14          4    0.0026   .977   .       .      180    4.9   0.4258
 7    CL13      CL8           8    0.0083   .968   .978   -1.6    159    9.3    0.475
 6    CL21      CL11          9    0.0107   .958   .971   -1.7    145   15.0   0.5217
 5    CL12      CL7          16    0.0339   .924   .960   -2.9    100   28.3   0.8003
 4    CL20      CL9           8    0.0177   .906   .939   -2.0    109   20.6   0.8109
 3    CL6       CL10         14    0.0327   .873   .892   -.80    121   19.3   0.9908
 2    CL4       CL3          22    0.1602   .713   .754   -.94   89.5   42.2   1.8997
 1    CL2       CL5          38    0.7132   .000   .000   0.00     .    89.5   2.8567




                                                                                            2
 am
N e of    Obser vat i on or     l
                               C ust er
 ui
B ck           st
              E at e_W   agon
 hr
C ysl er          ar
              LeB on_W     agon
For d         Count r y_S  qui r e_Wagon
 er
M cur y        r        ar
              G and_M qui s
Peugeot       694
Dodge          t
              S _R egi s
Chevy         C            l
               apr i ce_C assi c
For d         LTD
Chevy          al
              M i bu_W   agon
 ol
V vo          240
 M
A C           Concor d_D L /
Saab          99
Dodge         Aspen
For d         Must ang_G a hi
 M
B W           320i
Chevy          i
              C t at i on
 l
O ds           m
              O ega
Toyot a        or
              C ona
 at
D sun         510
 at
D sun         810
Audi          5000
 ui
B ck          Cent ur y_S  peci al
Chevy         Chevet t e
Honda         Accor d
VW             ci
              S r occo
VW            Rabbi t
 l
P ym  out h    or
              H i zon
Mazda         GLC
 at
D sun         210
Fi at          t
              S r ada
Dodge          m
              O ni
VW            Dasher
 M
A C            pi
              S ri t
Dodge          ol
              C t
 er
M cur y       Zephyr
For d         Must ang
 ui
B ck          Skyl ar k
Pont i ac     Phoeni x

                                      0. 00   0. 25   0. 50   0. 75   1. 00   1. 25   1. 50   1. 75   2. 00   2. 25   2. 50   2. 75 3. 00

                                                                 Maxi m    i         et een C ust er s
                                                                       um D st ance B w      l




                                                                                                                                            3
                                                             16:54 Tuesday, September 12, 2006   37

------------------------------------------- CLUSTER=1 --------------------------------------------

                                       The MEANS Procedure

Variable       Label           N            Mean         Std Dev         Minimum         Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
MPG            MPG            16      30.8375000       3.9276583      20.8000000      37.3000000
Weight         Weight         16       2.2760000       0.3344020       1.9150000       3.0700000
Drive_Ratio    Drive_Ratio    16       3.2943750       0.4046887       2.5300000       3.7800000
Horsepower     Horsepower     16      75.8125000       8.7880127      65.0000000      90.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=2 --------------------------------------------

Variable       Label           N            Mean         Std Dev         Minimum         Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
MPG            MPG             8      17.0500000       1.0127755      15.5000000      18.5000000
Weight         Weight          8       3.8892500       0.2720928       3.4100000       4.3600000
Drive_Ratio    Drive_Ratio     8       2.5500000       0.4448435       2.2600000       3.5800000
Horsepower     Horsepower      8     139.0000000       9.4112395     129.0000000     155.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=3 --------------------------------------------

Variable       Label           N            Mean         Std Dev         Minimum         Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
MPG            MPG            14      22.2214286       3.8306815      17.0000000      28.8000000
Weight         Weight         14       2.9471429       0.4164212       2.3000000       3.6200000
Drive_Ratio    Drive_Ratio    14       3.1742857       0.4782132       2.5600000       3.9000000
Horsepower     Horsepower     14     110.0714286       9.8563863      95.0000000     125.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ




                                                                                                      4
                                                             16:54 Tuesday, September 12, 2006   38

------------------------------------------- CLUSTER=1 --------------------------------------------

                            Obs    Make        Model

                              1    Buick       Estate_Wagon
                              2    Ford        Country_Squire_Wagon
                              3    Chevy       Malibu_Wagon
                              4    Chrysler    LeBaron_Wagon
                              5    Chevy       Chevette
                              6    Toyota      Corona
                              7    Datsun      510
                              8    Dodge       Omni
                              9    Audi        5000
                             10    Volvo       240
                             11    Saab        99
                             12    Peugeot     694
                             13    Buick       Century_Special
                             14    Mercury     Zephyr
                             15    Dodge       Aspen
                             16    AMC         Concord_D/L


------------------------------------------- CLUSTER=2 --------------------------------------------

                            Obs    Make        Model

                             17    Chevy       Caprice_Classic
                             18    Ford        LTD
                             19    Mercury     Grand_Marquis
                             20    Dodge       St_Regis
                             21    Ford        Mustang
                             22    Ford        Mustang_Ghia
                             23    Mazda       GLC
                             24    Dodge       Colt


------------------------------------------- CLUSTER=3 --------------------------------------------



                                                                                                      5
Obs   Make       Model

25    AMC        Spirit
26    VW         Scirocco
27    Honda      Accord
28    Buick      Skylark
29    Chevy      Citation
30    Olds       Omega
31    Pontiac    Phoenix
32    Plymouth   Horizon
33    Datsun     210
34    Fiat       Strada
35    VW         Dasher
36    Datsun     810




                            6
                                          The SAS System     16:54 Tuesday, September 12, 2006   2

------------------------------------------- CLUSTER=1 --------------------------------------------

                                       The MEANS Procedure

Variable       Label           N            Mean         Std Dev         Minimum         Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
MPG            MPG            11      32.2000000       2.7871132      27.4000000      37.3000000
Weight         Weight         11       2.1254545       0.2130429       1.9150000       2.6700000
Drive_Ratio    Drive_Ratio    11       3.4209091       0.3277943       2.9700000       3.7800000
HorsePower     HorsePower     11      72.0000000       5.4954527      65.0000000      80.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=2 --------------------------------------------

Variable       Label           N            Mean         Std Dev         Minimum         Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
MPG            MPG            10      17.5200000       0.9600926      16.2000000      19.2000000
Weight         Weight         10       3.7215000       0.3466591       3.1400000       4.3600000
Drive_Ratio    Drive_Ratio    10       2.6930000       0.4751152       2.2600000       3.5800000
HorsePower     HorsePower     10     134.0000000      11.1255462     120.0000000     155.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=3 --------------------------------------------

Variable       Label           N            Mean         Std Dev         Minimum         Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
MPG            MPG            14      24.2500000       4.3604428      18.6000000      33.5000000
Weight         Weight         14       2.8143571       0.3473111       2.3000000       3.6200000
Drive_Ratio    Drive_Ratio    14       3.1392857       0.4750298       2.5300000       3.9000000
HorsePower     HorsePower     14     102.5714286      10.2485593      85.0000000     115.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ




                                                                                                     7
 P
MG
 40




30




20




10

     60   70   80   90       100       110        120   130   140   150   160

                                    or  ow
                                   H seP er

                     LU TE
                    C S R          1          2         3




                                                                                8
                                                                16:54 Tuesday, September 12, 2006   3

------------------------------------------- CLUSTER=1 --------------------------------------------

                                   Obs    Make        Model

                                    1     Buick       Estate
                                    2     Chevy       Malibu
                                    3     Chrysler    LeBaron
                                    4     Toyota      Corona
                                    5     Datsun
                                    6     Dodge       Omni
                                    7     Audi
                                    8     Volvo
                                    9     Saab
                                   10     Peugeot
                                   11     Buick       Century


------------------------------------------- CLUSTER=2 --------------------------------------------

                                   Obs    Make        Model

                                   12     Mercury     Zephyr
                                   13     Dodge       Aspen
                                   14     AMC         Concord
                                   15     Chevy       Caprice
                                   16     Ford        LTD
                                   17     Mercury     Grand
                                   18     Dodge       St
                                   19     Ford        Mustang
                                   20     Mazda       GLC
                                   21     Dodge       Colt


------------------------------------------- CLUSTER=3 --------------------------------------------

                                   Obs    Make        Model



                                                                                                        9
22   AMC        Spirit
23   VW         Scirocco
24   Honda      Accord
25   Buick      Skylark
26   Chevy      Citation
27   Olds       Omega
28   Pontiac    Phoenix
29   Plymouth   Horizon
30   Datsun
31   Fiat       Strada
32   VW         Dasher
33   Datsun
34   BMW        320i
35   VW         Rabbit




                           10
                                                           16:54 Tuesday, September 12, 2006       4

                                  The CLUSTER Procedure
                         Ward's Minimum Variance Cluster Analysis

                             Eigenvalues of the Covariance Matrix

                        Eigenvalue    Difference    Proportion      Cumulative

                 1      707.465835    696.902019        0.9850         0.9850
                 2       10.563816     10.355334        0.0147         0.9997
                 3        0.208482      0.183895        0.0003         1.0000
                 4        0.024586                      0.0000         1.0000


             Root-Mean-Square Total-Sample Standard Deviation = 13.40021
             Root-Mean-Square Distance Between Observations   = 37.90152


                                      Cluster History
                                                                                               T
                                                                                               i
NCL   --Clusters Joined---        FREQ      SPRSQ    RSQ    ERSQ       CCC       PSF    PST2   e

 15   OB9        CL23                 4   0.0009    .993    .          .          214    5.5
 14   CL29       OB31                 3   0.0010    .992    .          .          211    8.9
 13   CL18       OB21                 4   0.0011    .991    .          .          209    2.7
 12   CL14       CL21                 7   0.0014    .990    .          .          205    4.0
 11   CL22       CL33                 5   0.0017    .988    .          .          201    7.3
 10   CL28       CL15                 6   0.0027    .986    .          .          189    7.9
  9   CL16       CL20                 5   0.0034    .982    .          .          178    7.1
  8   CL9        OB12                 6   0.0043    .978    .          .          170    3.5
  7   CL10       CL31                 8   0.0055    .972    .978      -.92        164    8.0
  6   CL17       CL11                 8   0.0073    .965    .971      -.80        160   13.7
  5   CL13       CL12                11   0.0104    .955    .960      -.53        157   18.2
  4   CL19       CL6                 10   0.0351    .919    .939      -1.2        118   25.4
  3   CL8        CL7                 14   0.0474    .872    .892      -.82        109   30.2
  2   CL4        CL3                 24   0.2470    .625    .754      -2.5       55.0   48.4



                                                                                                       11
1   CL2   CL5   35   0.6251   .000   .000   0.00   .   55.0




                                                              12
 am
N e of    Obser vat i on or     l
                               C ust er
 ui
B ck           st
              E at e_W   agon
 hr
C ysl er          ar
              LeB on_W     agon
For d         Count r y_S  qui r e_Wagon
 er
M cur y        r        ar
              G and_M qui s
Peugeot       694
Dodge          t
              S _R egi s
Chevy         C            l
               apr i ce_C assi c
For d         LTD
Chevy          al
              M i bu_W   agon
 ol
V vo          240
 M
A C           Concor d_D L /
Chevy         Chevet t e
Honda         Accor d
VW             ci
              S r occo
VW            Rabbi t
 l
P ym  out h    or
              H i zon
Mazda         GLC
 at
D sun         210
Fi at          t
              S r ada
Dodge          m
              O ni
VW            Dasher
 M
A C            pi
              S ri t
Dodge          ol
              C t
Toyot a        or
              C ona
 at
D sun         510
 at
D sun         810
 er
M cur y       Zephyr
For d         Must ang
 ui
B ck          Skyl ar k
Pont i ac     Phoeni x
Audi          5000
 ui
B ck          Cent ur y_S  peci al
Saab          99
Dodge         Aspen
For d         Must ang_G a hi
 M
B W           320i
Chevy          i
              C t at i on
 l
O ds           m
              O ega

                                      0. 00 0. 05 0. 10 0. 15 0. 20 0. 25 0. 30 0. 35 0. 40 0. 45 0. 50 0. 55 0. 60 0. 65

                                                                   em    ar
                                                                  S i - P t i al    - quar ed
                                                                                   R S




                                                                                                                            13
                                                             16:54 Tuesday, September 12, 2006    5

------------------------------------------- CLUSTER=1 --------------------------------------------

                                       The MEANS Procedure

Variable       Label           N            Mean         Std Dev         Minimum         Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
MPG            MPG            11      32.2000000       2.7871132      27.4000000      37.3000000
Weight         Weight         11       2.1254545       0.2130429       1.9150000       2.6700000
Drive_Ratio    Drive_Ratio    11       3.4209091       0.3277943       2.9700000       3.7800000
HorsePower     HorsePower     11      72.0000000       5.4954527      65.0000000      80.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=2 --------------------------------------------

Variable       Label           N            Mean         Std Dev         Minimum         Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
MPG            MPG            10      17.5200000       0.9600926      16.2000000      19.2000000
Weight         Weight         10       3.7215000       0.3466591       3.1400000       4.3600000
Drive_Ratio    Drive_Ratio    10       2.6930000       0.4751152       2.2600000       3.5800000
HorsePower     HorsePower     10     134.0000000      11.1255462     120.0000000     155.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=3 --------------------------------------------

Variable       Label           N            Mean         Std Dev         Minimum         Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
MPG            MPG            14      24.2500000       4.3604428      18.6000000      33.5000000
Weight         Weight         14       2.8143571       0.3473111       2.3000000       3.6200000
Drive_Ratio    Drive_Ratio    14       3.1392857       0.4750298       2.5300000       3.9000000
HorsePower     HorsePower     14     102.5714286      10.2485593      85.0000000     115.0000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


                                           The SAS System     18:10 Tuesday, September 12, 2006       26



                                                                                                           14
------------------------------------------- CLUSTER=1 --------------------------------------------

                                     Obs            car

                                       1    AMC        Spirit
                                       2    Buick      Skylark
                                       3    Chevy      Chevette
                                       4    Datsun     210
                                       5    Dodge      Colt
                                       6    Dodge      Omni
                                       7    Fiat       Strada
                                       8    Ford       Mustang
                                       9    Honda      Accord
                                      10    Mazda      GLC
                                      11    Mercury    Zephyr
                                      12    Plymouth   Horizon
                                      13    Pontiac    Phoenix
                                      14    VW         Dasher
                                      15    VW         Rabbit
                                      16    VW         Scirocco


------------------------------------------- CLUSTER=2 --------------------------------------------

                               Obs    car

                               17     Buick      Estate_Wagon
                               18     Chevy      Caprice_Classic
                               19     Chrysler   LeBaron_Wagon
                               20     Dodge      St_Regis
                               21     Ford       Country_Squire_Wagon
                               22     Ford       LTD
                               23     Mercury    Grand_Marquis
                               24     Peugeot    694


------------------------------------------- CLUSTER=3 --------------------------------------------




                                                                                                     15
Obs   car

25    AMC      Concord_D/L
26    Audi     5000
27    BMW      320i
28    Buick    Century_Special
29    Chevy    Citation
30    Chevy    Malibu_Wagon
31    Datsun   510
32    Datsun   810
33    Dodge    Aspen
34    Ford     Mustang_Ghia
35    Olds     Omega
36    Saab     99
37    Toyota   Corona
38    Volvo    240




                                 16
 P
MG
 40




30




20




10

     60   70   80   90       100       110         120   130   140   150   160

                                    or
                                   H sepower

                     LU TE
                    C S R          1           2         3




                                                                                 17
Cities

Variable Names:

   1.    City: City name
   2.    Work: Weighted average of the number of working hours in 12 occupations
   3.    Price: Index of the cost 112 goods and services excluding rent (Zurich = 100)
   4.    Salary: Index of hourly earnings in 12 occupations after deductions (Zurich = 100)

                                                The SAS System         17:58 Tuesday, September 12, 2006      5

                                           The CLUSTER Procedure
                                     Complete Linkage Cluster Analysis

                                     Eigenvalues of the Covariance Matrix

                                 Eigenvalue     Difference      Proportion       Cumulative

                          1      30622.5198     29881.7499          0.9732          0.9732
                          2        740.7699       638.2931          0.0235          0.9967
                          3        102.4767                         0.0033          1.0000

                       Root-Mean-Square Total-Sample Standard Deviation = 102.4138
                       Mean Distance Between Observations               = 204.5639


                                                 Cluster History
                                                                                                       Norm   T
                                                                                                        Max   i
        NCL   --Clusters Joined--        FREQ     SPRSQ      RSQ   ERSQ      CCC     PSF      PST2     Dist   e

        15    CL27        OB22              4    0.0020    .986    .         .      156        8.9   0.3252
        14    CL29        CL21              8    0.0030    .983    .         .      143       10.0   0.3395
        13    CL30        CL16              7    0.0034    .980    .         .      132        9.4   0.3567
        12    CL19        CL22             10    0.0036    .976    .         .      126        9.1   0.3728
        11    CL25        CL15              6    0.0017    .974    .         .      133        2.4   0.3878



                                                                                                                  18
10   CL20   CL24    5   0.0024   .972   .       .      139    5.2   0.4172
 9   CL17   CL10    9   0.0081   .964   .976   -2.9    123   10.4   0.5047
 8   OB15   OB25    2   0.0044   .959   .972   -2.5    128     .    0.5483
 7   CL14   OB32    9   0.0080   .951   .966   -2.6    127   11.8    0.689
 6   CL18   CL11    9   0.0157   .936   .959   -2.2    116   18.9   0.7567
 5   CL12   CL9    19   0.0282   .908   .947   -2.8    101   23.5   0.7881
 4   CL5    CL13   26   0.0786   .829   .925   -4.4   67.9   35.1   1.1796
 3   CL6    CL8    11   0.0650   .764   .878   -3.7   69.6   22.5   1.7599
 2   CL7    CL4    35   0.1323   .632   .742   -2.4   75.5   30.1   1.9445
 1   CL2    CL3    46   0.6317   .000   .000   0.00     .    75.5   3.8839




                                                                             19
 am
N e of   Obser vat i on or    l
                             C ust er
                   m
                  A st er dam
                   r
                  B ussel s
                  Dussel dor f
                  Copenhagen
                  Madr i d
                  Fr ankf ur t
                  Sydney
                   el
                  H si nki
                   sl
                  O o
                   t
                  A hens
                  Lagos
                  Li sbon
                   i
                  R o_de_Janei r o
                  Dubl i n
                   i
                  M l an
                   i
                  V enna
                  Luxem  bour g
                  London
                   ar
                  P i s
                  Geneva
                  Zur i ch
                  Tokyo
                  Tor ont o
                  Mont r eal
                   t
                  S ockhol m
                   i
                  N cosi a
                  Seoul
                  Sao_P  aul o
                  B          i
                   uenos_A r es
                  Johannesbur g
                  M          i
                   exi co_C t y
                   ai
                  N r obi
                   hi
                  C cago
                   ew or
                  N _Y k
                  Houst on
                  Bogot a
                  Kual a_Lum   pur
                  Tai pei
                   om
                  B bay
                  Panam  a
                   ar
                  C acas
                   i
                  S ngpor e
                         vi
                  Tel _A v
                  Los_A  ngel es
                  Hong_K  ong
                  Mani l a

                                    0. 0   0. 5   1. 0     1. 5     2. 0      2. 5     3. 0   3. 5   4. 0

                                                    Maxi m    i         et een C ust er s
                                                          um D st ance B w      l




                                                                                                            20
                                          The SAS System     17:58 Tuesday, September 12, 2006   6

------------------------------------------- CLUSTER=1 --------------------------------------------

                                       The MEANS Procedure

    Variable    Label      N            Mean         Std Dev         Minimum         Maximum
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
    Work        Work       9         2084.44      55.8146735         2015.00         2167.00
    Price       Price      9      57.5222222      18.5752374      30.3000000      84.3000000
    Salary      Salary     9      21.5777778      18.7306419       5.3000000      65.2000000
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=2 --------------------------------------------

    Variable    Label      N            Mean         Std Dev         Minimum         Maximum
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
    Work        Work      10         1763.00      19.6468827         1737.00         1792.00
    Price       Price     10      67.4400000      15.4397899      45.2000000      84.2000000
    Salary      Salary    10      37.1600000      21.2641691       2.7000000      71.1000000
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=3 --------------------------------------------

    Variable    Label      N            Mean         Std Dev         Minimum         Maximum
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
    Work        Work       9         1678.89      43.2852297         1583.00         1717.00
    Price       Price      9      86.3777778      18.3854411      65.6000000     115.5000000
    Salary      Salary     9      57.2666667       6.8216567      49.0000000      66.6000000
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=4 --------------------------------------------

    Variable    Label      N            Mean         Std Dev         Minimum         Maximum
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ



                                                                                                     21
    Work        Work       7         1951.71      18.5716117         1924.00         1978.00
    Price       Price      7      61.5857143      14.6262810      45.0000000      83.3000000
    Salary      Salary     7      31.7142857      26.0216210       5.7000000      65.8000000
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=5 --------------------------------------------

    Variable    Label      N            Mean         Std Dev         Minimum         Maximum
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
    Work        Work       9         1852.33      29.1504717         1805.00         1888.00
    Price       Price      9      80.0222222      26.1613636      47.9000000     115.0000000
    Salary      Salary     9      53.7888889      29.2101200      11.1000000     100.0000000
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ




                                                                                                     22
                                          The SAS System     17:58 Tuesday, September 12, 2006   7

------------------------------------------- CLUSTER=6 --------------------------------------------

                                       The MEANS Procedure

    Variable    Label      N            Mean         Std Dev         Minimum         Maximum
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
    Work        Work       2         2321.50      75.6604256         2268.00         2375.00
    Price       Price      2      51.9000000      16.8291414      40.0000000      63.8000000
    Salary      Salary     2      15.9000000      16.8291414       4.0000000      27.8000000
    ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ




                                                                                                     23
                                                   The SAS System     18:10 Tuesday, September 12, 2006   23

------------------------------------------- CLUSTER=1 --------------------------------------------

                                      Obs   City

                                       1    Bogota
                                       2    Bombay
                                       3    Caracas
                                       4    Kuala_Lumpur
                                       5    Los_Angeles
                                       6    Panama
                                       7    Singpore
                                       8    Taipei
                                       9    Tel_Aviv


------------------------------------------- CLUSTER=2 --------------------------------------------

                                      Obs   City

                                       10   Athens
                                       11   Dublin
                                       12   Lagos
                                       13   Lisbon
                                       14   London
                                       15   Luxembourg
                                       16   Milan
                                       17   Paris
                                       18   Rio_de_Janeiro
                                       19   Vienna


------------------------------------------- CLUSTER=3 --------------------------------------------

                                      Obs   City

                                       20   Amsterdam



                                                                                                               24
                                       21   Brussels
                                       22   Copenhagen
                                       23   Dusseldorf
                                       24   Frankfurt
                                       25   Helsinki
                                       26   Madrid
                                       27   Oslo
                                       28   Sydney


------------------------------------------- CLUSTER=4 --------------------------------------------

                                      Obs   City

                                       29   Buenos_Aires
                                       30   Chicago
                                       31   Houston




                                                                                                     25
                                            The SAS System   18:10 Tuesday, September 12, 2006   24

------------------------------------------- CLUSTER=4 --------------------------------------------
                                           (continued)

                                      Obs     City

                                       32     Johannesburg
                                       33     Mexico_City
                                       34     Nairobi
                                       35     New_York


------------------------------------------- CLUSTER=5 --------------------------------------------

                                      Obs     City

                                       36     Geneva
                                       37     Montreal
                                       38     Nicosia
                                       39     Sao_Paulo
                                       40     Seoul
                                       41     Stockholm
                                       42     Tokyo
                                       43     Toronto
                                       44     Zurich


------------------------------------------- CLUSTER=6 --------------------------------------------

                                      Obs     City

                                       45     Hong_Kong
                                       46     Manila




                                                                                                      26
 r
P i ce
   120



  110




  100




   90




   80



   70




   60




   50



   40




   30

     1500   1600      1700       1800       1900         2000       2100       2200       2300   2400

                                                    or
                                                   W k

              LU TE
             C S R           1          2           3           4          5          6




                                                                                                        27
Nutrition


Variable Names:

   1. Country: Country name
   2. RdMeat: Red meat
   3. WhMeat: White meat
   4. Eggs: Eggs
   5. Milk: Milk
   6. Fish: Fish
   7. Cereal: Cereals
   8. Starch: Starchy foods
   9. Nuts: Pulses, nuts, and oil-seeds
   10. Fr&Veg: Fruits and vegetables

                                         The CLUSTER Procedure
                                   Complete Linkage Cluster Analysis

                                  Eigenvalues of the Covariance Matrix

                              Eigenvalue   Difference    Proportion      Cumulative

                        1     155.233995   124.535258        0.7105         0.7105
                        2      30.698737    15.055280        0.1405         0.8510
                        3      15.643457     7.326526        0.0716         0.9226
                        4       8.316930     4.687009        0.0381         0.9607
                        5       3.629922     1.201130        0.0166         0.9773
                        6       2.428791     0.871993        0.0111         0.9884
                        7       1.556798     0.842000        0.0071         0.9956
                        8       0.714799     0.462660        0.0033         0.9988
                        9       0.252139                     0.0012         1.0000

                    Root-Mean-Square Total-Sample Standard Deviation = 4.926973



                                                                                      28
                  Mean Distance Between Observations                    = 19.04712


                                        Cluster History
                                                                                               Norm   T
                                                                                                Max   i
NCL   -------Clusters Joined--------      FREQ    SPRSQ    RSQ   ERSQ    CCC    PSF   PST2     Dist   e

 15   CL23              Romania             3    0.0067   .957   .       .     16.0    3.0   0.4376
 14   Portugal          Spain               2    0.0074   .950   .       .     16.1     .    0.4614
 13   CL17              USSR                3    0.0079   .942   .       .     16.2    1.3   0.4968
 12   CL22              CL20                4    0.0098   .932   .       .     16.3    3.0   0.5098
 11   Austria           CL12                5    0.0084   .924   .       .     17.0    1.6   0.5319
 10   CL16              Hungary             3    0.0123   .911   .       .     17.2    1.9   0.6296
  9   Albania           CL13                4    0.0147   .897   .       .     17.4    2.1   0.6372
  8   CL19              Finland             4    0.0189   .878   .       .     17.5    6.0   0.6431
  7   CL11              CL18                8    0.0223   .856   .       .     17.8    4.0   0.6783
  6   E_Germany         CL14                3    0.0210   .835   .       .     19.2    2.8   0.7957
  5   CL9               CL10                7    0.0320   .803   .807   -.20   20.3    3.4   0.9263
  4   CL7               CL8                12    0.0447   .758   .762   -.13   21.9    5.6   0.9912
  3   CL5               CL6                10    0.0948   .663   .693   -.73   21.7    7.0   1.2603
  2   CL3               CL4                22    0.2919   .371   .562   -2.5   13.6   17.8   1.6368
  1   CL2               CL15               25    0.3713   .000   .000   0.00     .    13.6   2.1778




                                                                                                          29
 am
N e of   Obser vat i on or      l
                               C ust er

                   l
                  A bani a
                   r
                  G eece
                  I t al y
                   S R
                  U S

                  Czechosl ovaki a
                   ol
                  P and
                  Hungar y
                   _G
                  E er many

                   or
                  P t ugal
                  Spai n
                  Aust r i a

                  I r el and
                   w
                  S i t zer l and

                   et
                  N her l ands
                   _G
                  W er many
                   el
                  B gi um
                  Fr ance

                  UK
                  D   ar
                   enm k
                   w
                  S eden
                   or ay
                  N w

                  Fi nl and
                   ul
                  B gar i a
                  Yugosl avi a

                   om
                  R ani a


                                      0. 0   0. 2   0. 4   0. 6   0. 8   1. 0   1. 2   1. 4   1. 6   1. 8   2. 0   2. 2

                                                           Maxi m    i         et een C ust er s
                                                                 um D st ance B w      l




                                                                                                                          30
                                          The SAS System     18:10 Tuesday, September 12, 2006   34

------------------------------------------- CLUSTER=1 --------------------------------------------

                                       The MEANS Procedure

  Variable     Label         N            Mean         Std Dev         Minimum         Maximum
  ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
  RedMeat      RedMeat       4       9.8500000       0.5446712       9.4000000      10.6000000
  WhiteMeat    WhiteMeat     4       7.0500000       2.8734416       4.7000000      10.8000000
  Eggs         Eggs          4       3.1500000       0.5259911       2.7000000       3.7000000
  Milk         Milk          4      26.6750000       4.7415715      23.3000000      33.7000000
  Fish         Fish          4       8.2250000       1.9482898       5.8000000       9.9000000
  Cereals      Cereals       4      22.6750000       2.8241518      19.5000000      26.3000000
  Starch       Starch        4       4.5500000       0.6027714       3.7000000       5.1000000
  Nuts         Nuts          4       1.1750000       0.4031129       0.7000000       1.6000000
  FrVeg        FrVeg         4       2.1250000       0.5619905       1.4000000       2.7000000
  ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=2 --------------------------------------------

  Variable     Label         N            Mean         Std Dev         Minimum         Maximum
  ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
  RedMeat      RedMeat       3       6.1333333       1.7009801       4.4000000       7.8000000
  WhiteMeat    WhiteMeat     3       5.7666667       0.6806859       5.0000000       6.3000000
  Eggs         Eggs          3       1.4333333       0.2081666       1.2000000       1.6000000
  Milk         Milk          3       9.6333333       1.4047538       8.3000000      11.1000000
  Fish         Fish          3       0.9333333       0.3055050       0.6000000       1.2000000
  Cereals      Cereals       3      54.0666667       3.8888730      49.6000000      56.7000000
  Starch       Starch        3       2.4000000       1.1269428       1.1000000       3.1000000
  Nuts         Nuts          3       4.9000000       1.0583005       3.7000000       5.7000000
  FrVeg        FrVeg         3       3.4000000       0.7211103       2.8000000       4.2000000
  ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=3 --------------------------------------------

  Variable     Label         N            Mean         Std Dev         Minimum         Maximum



                                                                                                      31
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
RedMeat      RedMeat       8      13.2125000       3.3099148       8.9000000      18.0000000
WhiteMeat    WhiteMeat     8      10.6375000       2.6981144       5.7000000      14.0000000
Eggs         Eggs          8       3.9875000       0.6034129       3.1000000       4.7000000
Milk         Milk          8      21.1625000       2.8570402      17.5000000      25.8000000
Fish         Fish          8       3.3750000       1.3338987       2.1000000       5.7000000
Cereals      Cereals       8      24.7000000       3.1627294      18.6000000      28.1000000
Starch       Starch        8       4.6500000       1.1058287       2.8000000       6.2000000
Nuts         Nuts          8       2.0625000       0.6759913       1.3000000       3.4000000
FrVeg        FrVeg         8       4.1750000       1.1170753       2.9000000       6.5000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ




                                                                                               32
                                          The SAS System     18:10 Tuesday, September 12, 2006   35

------------------------------------------- CLUSTER=4 --------------------------------------------

                                       The MEANS Procedure

  Variable     Label         N            Mean         Std Dev         Minimum         Maximum
  ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
  RedMeat      RedMeat       4       9.6500000       0.5916080       9.0000000      10.2000000
  WhiteMeat    WhiteMeat     4       3.5250000       1.6760569       1.4000000       5.1000000
  Eggs         Eggs          4       2.0750000       1.1086779       0.5000000       2.9000000
  Milk         Milk          4      14.2000000       3.9012818       8.9000000      17.6000000
  Fish         Fish          4       3.1250000       2.3343450       0.2000000       5.9000000
  Cereals      Cereals       4      41.1000000       2.9743347      36.8000000      43.6000000
  Starch       Starch        4       2.8250000       2.4931573       0.6000000       6.4000000
  Nuts         Nuts          4       5.2500000       1.9052559       3.4000000       7.8000000
  FrVeg        FrVeg         4       4.4500000       2.5317978       1.7000000       6.7000000
  ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=5 --------------------------------------------

  Variable     Label         N            Mean         Std Dev         Minimum         Maximum
  ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
  RedMeat      RedMeat       3       7.3000000       2.2271057       5.3000000       9.7000000
  WhiteMeat    WhiteMeat     3      11.3333333       1.1015141      10.2000000      12.4000000
  Eggs         Eggs          3       2.8000000       0.1000000       2.7000000       2.9000000
  Milk         Milk          3      13.8333333       4.9369356       9.7000000      19.3000000
  Fish         Fish          3       1.7666667       1.3650397       0.3000000       3.0000000
  Cereals      Cereals       3      36.8333333       2.9687259      34.3000000      40.1000000
  Starch       Starch        3       4.9666667       0.9504385       4.0000000       5.9000000
  Nuts         Nuts          3       2.8333333       2.2678918       1.1000000       5.4000000
  FrVeg        FrVeg         3       4.9333333       1.4468356       4.0000000       6.6000000
  ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ


------------------------------------------- CLUSTER=6 --------------------------------------------




                                                                                                      33
Variable     Label         N            Mean         Std Dev         Minimum         Maximum
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
RedMeat      RedMeat       3       7.2333333       1.1060440       6.2000000       8.4000000
WhiteMeat    WhiteMeat     3       6.2333333       4.6500896       3.4000000      11.6000000
Eggs         Eggs          3       2.6333333       1.3613719       1.1000000       3.7000000
Milk         Milk          3       8.2000000       3.1192948       4.9000000      11.1000000
Fish         Fish          3       8.8666667       4.6875722       5.4000000      14.2000000
Cereals      Cereals       3      26.9333333       2.3007245      24.6000000      29.2000000
Starch       Starch        3       6.0333333       0.4163332       5.7000000       6.5000000
Nuts         Nuts          3       3.8000000       2.6664583       0.8000000       5.9000000
FrVeg        FrVeg         3       6.2333333       2.3072350       3.6000000       7.9000000
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ




                                                                                               34
                                            The SAS System   18:10 Tuesday, September 12, 2006   32

------------------------------------------- CLUSTER=1 --------------------------------------------

                                      Obs     Country

                                       1      Denmark
                                       2      Finland
                                       3      Norway
                                       4      Sweden


------------------------------------------- CLUSTER=2 --------------------------------------------

                                      Obs     Country

                                       5      Bulgaria
                                       6      Romania
                                       7      Yugoslavia


------------------------------------------- CLUSTER=3 --------------------------------------------

                                      Obs     Country

                                        8     Austria
                                        9     Belgium
                                       10     France
                                       11     Ireland
                                       12     Netherlands
                                       13     Switzerland
                                       14     UK
                                       15     W_Germany


------------------------------------------- CLUSTER=4 --------------------------------------------

                                      Obs     Country



                                                                                                      35
                                       16   Albania
                                       17   Greece
                                       18   Italy
                                       19   USSR


------------------------------------------- CLUSTER=5 --------------------------------------------

                                      Obs   Country

                                       20   Czechoslovakia
                                       21   Hungary
                                       22   Poland




                                                                                                     36

				
Jun Wang Jun Wang Dr
About Some of Those documents come from internet for research purpose,if you have the copyrights of one of them,tell me by mail vixychina@gmail.com.Thank you!