Tuesday, February  2, 2021 11:08:39 AM  28

Obs    A    R      Y

  1    1    1    10.8
  2    1    2     9.9
  3    1    3    10.7
  4    1    4    10.4
  5    1    5     9.7
  6    2    1    10.7
  7    2    2    10.6
  8    2    3    11.0
  9    2    4    10.8
 10    2    5    10.9
 11    3    1    11.9
 12    3    2    11.2
 13    3    3    11.0
 14    3    4    11.1
 15    3    5    11.3
 16    4    1    11.4
 17    4    2    10.7
 18    4    3    10.9
 19    4    4    11.3
 20    4    5    11.7
                                    Tuesday, February  2, 2021 11:08:39 AM  29

The GLM Procedure

    Class Level Information
 
Class         Levels    Values

A                  4    1 2 3 4 


Number of Observations Read          20
Number of Observations Used          20
                                    Tuesday, February  2, 2021 11:08:39 AM  30

The GLM Procedure
 
Dependent Variable: Y   

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

Model                       3     3.10000000     1.03333333      7.58   0.0022

Error                      16     2.18000000     0.13625000                   

Corrected Total            19     5.28000000                                  


R-Square     Coeff Var      Root MSE        Y Mean

0.587121      3.386427      0.369121      10.90000


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

A                           3     3.10000000     1.03333333      7.58   0.0022


                                    Tuesday, February  2, 2021 11:08:39 AM  31

The GLM Procedure
 
Dependent Variable: Y   

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

A                           3     3.10000000     1.03333333      7.58   0.0022
                                    Tuesday, February  2, 2021 11:08:39 AM  32

The GLM Procedure
 
Tukey's Studentized Range (HSD) Test for Y

NOTE: This test controls the Type I experimentwise error rate, but it 
generally has a higher Type II error rate than REGWQ.


Alpha                                   0.05
Error Degrees of Freedom                  16
Error Mean Square                    0.13625
Critical Value of Studentized Range  4.04606
Minimum Significant Difference        0.6679