The SAS System    17:06 Tuesday, March 24, 1998
                                                                              1

                        General Linear Models Procedure
                            Class Level Information

                          Class    Levels    Values

                          A             3    1 2 3

                          B             4    1 2 3 4


                    Number of observations in data set = 36


                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                              2

                        General Linear Models Procedure

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

Model                   11     220.28333333     20.02575758     3.11    0.0097

Error                   24     154.44666667      6.43527778

Corrected Total         35     374.73000000

                  R-Square             C.V.        Root MSE             Y Mean

                  0.587845         35.31487       2.5367849          7.1833333


Source                  DF        Type I SS     Mean Square  F Value    Pr > F

A                        2     220.02000000    110.01000000    17.09    0.0001
B                        3       0.07222222      0.02407407     0.00    0.9997
A*B                      6       0.19111111      0.03185185     0.00    1.0000

Source                  DF      Type III SS     Mean Square  F Value    Pr > F

A                        2     220.02000000    110.01000000    17.09    0.0001
B                        3       0.07222222      0.02407407     0.00    0.9997
A*B                      6       0.19111111      0.03185185     0.00    1.0000



                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                              3

                        General Linear Models Procedure
                            Class Level Information

                          Class    Levels    Values

                          A             3    1 2 3

                          B             4    1 2 3 4


                    Number of observations in data set = 36


                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                              4

                        General Linear Models Procedure

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

Model                   11     220.28333333     20.02575758     3.11    0.0097

Error                   24     154.44666667      6.43527778

Corrected Total         35     374.73000000

                  R-Square             C.V.        Root MSE             Y Mean

                  0.587845         35.31487       2.5367849          7.1833333


Source                  DF        Type I SS     Mean Square  F Value    Pr > F

A                        2     220.02000000    110.01000000    17.09    0.0001
B                        3       0.07222222      0.02407407     0.00    0.9997
A*B                      6       0.19111111      0.03185185     0.00    1.0000

Source                  DF      Type III SS     Mean Square  F Value    Pr > F

A                        2     220.02000000    110.01000000    17.09    0.0001
B                        3       0.07222222      0.02407407     0.00    0.9997
A*B                      6       0.19111111      0.03185185     0.00    1.0000



                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                              5

                        General Linear Models Procedure

Source      Type III Expected Mean Square

A           Var(Error) + 3 Var(A*B) + 12 Var(A)

B           Var(Error) + 3 Var(A*B) + 9 Var(B)

A*B         Var(Error) + 3 Var(A*B)


                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                              6

                        General Linear Models Procedure
                            Class Level Information

                          Class    Levels    Values

                          A             3    1 2 3

                          B             4    1 2 3 4


                    Number of observations in data set = 36


                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                              7

                        General Linear Models Procedure

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

Model                   11     220.28333333     20.02575758     3.11    0.0097

Error                   24     154.44666667      6.43527778

Corrected Total         35     374.73000000

                  R-Square             C.V.        Root MSE             Y Mean

                  0.587845         35.31487       2.5367849          7.1833333


Source                  DF        Type I SS     Mean Square  F Value    Pr > F

A                        2     220.02000000    110.01000000    17.09    0.0001
B                        3       0.07222222      0.02407407     0.00    0.9997
A*B                      6       0.19111111      0.03185185     0.00    1.0000

Source                  DF      Type III SS     Mean Square  F Value    Pr > F

A                        2     220.02000000    110.01000000    17.09    0.0001
B                        3       0.07222222      0.02407407     0.00    0.9997
A*B                      6       0.19111111      0.03185185     0.00    1.0000



                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                              8

                        General Linear Models Procedure

Source      Type III Expected Mean Square

A           Var(Error) + 3 Var(A*B) + 12 Var(A)

B           Var(Error) + 3 Var(A*B) + 9 Var(B)

A*B         Var(Error) + 3 Var(A*B)


                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                              9

                        General Linear Models Procedure
           Tests of Hypotheses for Random Model Analysis of Variance

Dependent Variable: Y       

 
Source: A
Error: MS(A*B)
                            Denominator     Denominator
      DF     Type III MS             DF              MS      F Value    Pr > F
       2          110.01              6    0.0318518519     3453.802    0.0001

Source: B
Error: MS(A*B)
                            Denominator     Denominator
      DF     Type III MS             DF              MS      F Value    Pr > F
       3    0.0240740741              6    0.0318518519        0.756    0.5582

Source: A*B
Error: MS(Error)
                            Denominator     Denominator
      DF     Type III MS             DF              MS      F Value    Pr > F
       6    0.0318518519             24    6.4352777778        0.005    1.0000


                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                             10

                        General Linear Models Procedure
                            Class Level Information

                          Class    Levels    Values

                          A             3    1 2 3

                          B             4    1 2 3 4


                    Number of observations in data set = 36


                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                             11

                        General Linear Models Procedure

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

Model                   11     220.28333333     20.02575758     3.11    0.0097

Error                   24     154.44666667      6.43527778

Corrected Total         35     374.73000000

                  R-Square             C.V.        Root MSE             Y Mean

                  0.587845         35.31487       2.5367849          7.1833333


Source                  DF        Type I SS     Mean Square  F Value    Pr > F

A                        2     220.02000000    110.01000000    17.09    0.0001
B                        3       0.07222222      0.02407407     0.00    0.9997
A*B                      6       0.19111111      0.03185185     0.00    1.0000

Source                  DF      Type III SS     Mean Square  F Value    Pr > F

A                        2     220.02000000    110.01000000    17.09    0.0001
B                        3       0.07222222      0.02407407     0.00    0.9997
A*B                      6       0.19111111      0.03185185     0.00    1.0000



                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                             12

                        General Linear Models Procedure

Source      Type III Expected Mean Square

A           Var(Error) + 3 Var(A*B) + Q(A)

B           Var(Error) + 3 Var(A*B) + 9 Var(B)

A*B         Var(Error) + 3 Var(A*B)


                                The SAS System    17:06 Tuesday, March 24, 1998
                                                                             13

                        General Linear Models Procedure
           Tests of Hypotheses for Mixed Model Analysis of Variance

Dependent Variable: Y       

 
Source: A
Error: MS(A*B)
                            Denominator     Denominator
      DF     Type III MS             DF              MS      F Value    Pr > F
       2          110.01              6    0.0318518519     3453.802    0.0001

Source: B
Error: MS(A*B)
                            Denominator     Denominator
      DF     Type III MS             DF              MS      F Value    Pr > F
       3    0.0240740741              6    0.0318518519        0.756    0.5582

Source: A*B
Error: MS(Error)
                            Denominator     Denominator
      DF     Type III MS             DF              MS      F Value    Pr > F
       6    0.0318518519             24    6.4352777778        0.005    1.0000