The SAS System                               1

  OBS ROW COL  Y D11 D12 D13 D21 D22 D23 D31 D32 D33 C1 C2 C3 C4 C5 C6 C7 C8

    1  1   1  12  1   0   0   0   0   0   0   0   0   1  1  1  1  1  1  1  1
    2  1   1  10  1   0   0   0   0   0   0   0   0   1  1  1  1  1  1  1  1
    3  1   2  10  0   1   0   0   0   0   0   0   0   1  1 -1  1 -1  1 -1  1
    4  1   2   8  0   1   0   0   0   0   0   0   0   1  1 -1  1 -1  1 -1  1
    5  1   3   8  0   0   1   0   0   0   0   0   0   1  1  0 -2  0 -2  0 -2
    6  1   3   6  0   0   1   0   0   0   0   0   0   1  1  0 -2  0 -2  0 -2
    7  2   1   7  0   0   0   1   0   0   0   0   0  -1  1  1  1 -1 -1  1  1
    8  2   1   7  0   0   0   1   0   0   0   0   0  -1  1  1  1 -1 -1  1  1
    9  2   2  17  0   0   0   0   1   0   0   0   0  -1  1 -1  1  1 -1 -1  1
   10  2   2  13  0   0   0   0   1   0   0   0   0  -1  1 -1  1  1 -1 -1  1
   11  2   3  10  0   0   0   0   0   1   0   0   0  -1  1  0 -2  0  2  0 -2
   12  2   3   6  0   0   0   0   0   1   0   0   0  -1  1  0 -2  0  2  0 -2
   13  3   1  16  0   0   0   0   0   0   1   0   0   0 -2  1  1  0  0 -2 -2
   14  3   1  14  0   0   0   0   0   0   1   0   0   0 -2  1  1  0  0 -2 -2
   15  3   2  14  0   0   0   0   0   0   0   1   0   0 -2 -1  1  0  0  2 -2
   16  3   2  10  0   0   0   0   0   0   0   1   0   0 -2 -1  1  0  0  2 -2
   17  3   3  17  0   0   0   0   0   0   0   0   1   0 -2  0 -2  0  0  0  4
   18  3   3  13  0   0   0   0   0   0   0   0   1   0 -2  0 -2  0  0  0  4

                                The SAS System                               2

Model: MODEL1  
Dependent Variable: Y                                                  

                             Analysis of Variance

                                Sum of         Mean
       Source          DF      Squares       Square      F Value       Prob>F

       Model            8    188.00000     23.50000        5.288       0.0112
       Error            9     40.00000      4.44444
       C Total         17    228.00000

           Root MSE       2.10819     R-square       0.8246
           Dep Mean      11.00000     Adj R-sq       0.6686
           C.V.          19.16532

                             Parameter Estimates

                      Parameter      Standard    T for H0:               
     Variable  DF      Estimate         Error   Parameter=0    Prob > |T|

     INTERCEP   1     15.000000    1.49071198        10.062        0.0001
     D11        1     -4.000000    2.10818511        -1.897        0.0903
     D12        1     -6.000000    2.10818511        -2.846        0.0192
     D13        1     -8.000000    2.10818511        -3.795        0.0043
     D21        1     -8.000000    2.10818511        -3.795        0.0043
     D22        1  1.110223E-15    2.10818511         0.000        1.0000
     D23        1     -7.000000    2.10818511        -3.320        0.0089
     D31        1  1.110223E-15    2.10818511         0.000        1.0000
     D32        1     -3.000000    2.10818511        -1.423        0.1885



                           Correlation of Estimates

CORRB         INTERCEP           D11           D12           D13           D21

INTERCEP        1.0000       -0.7071       -0.7071       -0.7071       -0.7071
D11            -0.7071        1.0000        0.5000        0.5000        0.5000
D12            -0.7071        0.5000        1.0000        0.5000        0.5000
D13            -0.7071        0.5000        0.5000        1.0000        0.5000
D21            -0.7071        0.5000        0.5000        0.5000        1.0000
D22            -0.7071        0.5000        0.5000        0.5000        0.5000
D23            -0.7071        0.5000        0.5000        0.5000        0.5000
D31            -0.7071        0.5000        0.5000        0.5000        0.5000
D32            -0.7071        0.5000        0.5000        0.5000        0.5000
                                The SAS System                               3

                           Correlation of Estimates

       CORRB              D22           D23           D31           D32

       INTERCEP       -0.7071       -0.7071       -0.7071       -0.7071
       D11             0.5000        0.5000        0.5000        0.5000
       D12             0.5000        0.5000        0.5000        0.5000
       D13             0.5000        0.5000        0.5000        0.5000
       D21             0.5000        0.5000        0.5000        0.5000
       D22             1.0000        0.5000        0.5000        0.5000
       D23             0.5000        1.0000        0.5000        0.5000
       D31             0.5000        0.5000        1.0000        0.5000
       D32             0.5000        0.5000        0.5000        1.0000

                                The SAS System                               4

Model: MODEL2  
Dependent Variable: Y                                                  

                             Analysis of Variance

                                Sum of         Mean
       Source          DF      Squares       Square      F Value       Prob>F

       Model            8    188.00000     23.50000        5.288       0.0112
       Error            9     40.00000      4.44444
       C Total         17    228.00000

           Root MSE       2.10819     R-square       0.8246
           Dep Mean      11.00000     Adj R-sq       0.6686
           C.V.          19.16532

                             Parameter Estimates

                      Parameter      Standard    T for H0:               
     Variable  DF      Estimate         Error   Parameter=0    Prob > |T|

     INTERCEP   1     11.000000    0.49690399        22.137        0.0001
     C1         1     -0.500000    0.60858062        -0.822        0.4325
     C2         1     -1.500000    0.35136418        -4.269        0.0021
     C3         1     -0.500000    0.60858062        -0.822        0.4325
     C4         1      0.500000    0.35136418         1.423        0.1885
     C5         1      2.500000    0.74535599         3.354        0.0085
     C6         1             0    0.43033148         0.000        1.0000
     C7         1     -1.000000    0.43033148        -2.324        0.0452
     C8         1      0.500000    0.24845200         2.012        0.0750



                           Correlation of Estimates

CORRB         INTERCEP            C1            C2            C3            C4

INTERCEP        1.0000        0.0000        0.0000        0.0000        0.0000
C1              0.0000        1.0000        0.0000        0.0000        0.0000
C2              0.0000        0.0000        1.0000        0.0000        0.0000
C3              0.0000        0.0000        0.0000        1.0000        0.0000
C4              0.0000        0.0000        0.0000        0.0000        1.0000
C5              0.0000        0.0000        0.0000        0.0000        0.0000
C6              0.0000        0.0000        0.0000        0.0000        0.0000
C7              0.0000        0.0000        0.0000        0.0000        0.0000
C8              0.0000        0.0000        0.0000        0.0000        0.0000
                                The SAS System                               5

                           Correlation of Estimates

       CORRB               C5            C6            C7            C8

       INTERCEP        0.0000        0.0000        0.0000        0.0000
       C1              0.0000        0.0000        0.0000        0.0000
       C2              0.0000        0.0000        0.0000        0.0000
       C3              0.0000        0.0000        0.0000        0.0000
       C4              0.0000        0.0000        0.0000        0.0000
       C5              1.0000        0.0000        0.0000        0.0000
       C6              0.0000        1.0000        0.0000        0.0000
       C7              0.0000        0.0000        1.0000        0.0000
       C8              0.0000        0.0000        0.0000        1.0000

                                The SAS System                               6

                        Analysis of Variance Procedure
                           Class Level Information

                          Class    Levels    Values

                          ROW           3    1 2 3

                          COL           3    1 2 3


                   Number of observations in data set = 18


                                The SAS System                               7

                        Analysis of Variance Procedure

Dependent Variable: Y   
                                    Sum of           Mean
Source                  DF         Squares         Square   F Value     Pr > F

Model                    8     188.0000000     23.5000000      5.29     0.0112

Error                    9      40.0000000      4.4444444

Corrected Total         17     228.0000000

                  R-Square            C.V.       Root MSE               Y Mean

                  0.824561        19.16532       2.108185             11.00000


Source                  DF        Anova SS    Mean Square   F Value     Pr > F

ROW                      2     84.00000000    42.00000000      9.45     0.0061
COL                      2     12.00000000     6.00000000      1.35     0.3071
ROW*COL                  4     92.00000000    23.00000000      5.18     0.0192