Design and Analysis, Fourth Edition, by Keppel and Wickens Chapter 11: The Overall Two Factor Analysis | SAS Textbook Examples

Data from Table 11.8, page 221

data table11_8;
input a b errors;
datalines;
1 1 1
1 1 4
1 1 0
1 1 7
2 1 13
2 1 5
2 1 7
2 1 15
3 1 9
3 1 16
3 1 18
3 1 13
1 2 15
1 2 6
1 2 10
1 2 13
2 2 6
2 2 18
2 2 9
2 2 15
3 2 14
3 2 7
3 2 6
3 2 13
; 
run;

Table 11.9, page 223. Overall two-factor analysis of variance of the data appearing in Table 11.8

NOTE: Within the model statement, the | expands the factors to all main effects and interactions terms. In this case, a|b expands to a b a*b.

proc glm data = table11_8;
class a b;
model errors = a|b/ss3 ;
run;quit;

The GLM Procedure

   Class Level Information
Class         Levels    Values
a                  3    1 2 3
b                  2    1 2

Number of observations    24

Dependent Variable: errors
                                        Sum of
Source                      DF         Squares     Mean Square    F Value    Pr > F
Model                        5     280.0000000      56.0000000       3.05    0.0361
Error                       18     330.0000000      18.3333333
Corrected Total             23     610.0000000

R-Square     Coeff Var      Root MSE    errors Mean
0.459016      42.81744      4.281744       10.00000

Source                      DF     Type III SS     Mean Square    F Value    Pr > F
a                            2     112.0000000      56.0000000       3.05    0.0721
b                            1      24.0000000      24.0000000       1.31    0.2675
a*b                          2     144.0000000      72.0000000       3.93    0.0384