/* Two-way ANOVA (Balanced) */

OPTIONS LS=75 PS=55 NODATE PAGENO=1;
DATA one;
    INPUT height $ width $ sales;
	DATALINES;
Bottom Regular  47
Bottom Regular  43
Bottom Wide     46
Bottom Wide     40
Middle Regular  62
Middle Regular  68
Middle Wide     67
Middle Wide     71
Top    Regular  41
Top    Regular  39
Top    Wide     42
Top    Wide     46
;

PROC GLM;
        TITLE 'Two-way ANOVA With Interaction';
        CLASS height width;
        MODEL sales = height width height*width;
        MEANS height / T;
        RUN;
PROC GLM;
        TITLE 'Two-way ANOVA Without Interaction';
        CLASS height width;
        MODEL sales = height width;
        MEANS height / T;
        RUN;

QUIT;
******************************************************8

                      Two-way ANOVA With Interaction                      1

                             The GLM Procedure

                         Class Level Information

                Class         Levels    Values

                height             3    Bottom Middle Top

                width              2    Regular Wide


                  Number of Observations Read          12
                  Number of Observations Used          12

                      Two-way ANOVA With Interaction                      2

                             The GLM Procedure

Dependent Variable: sales

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

 Model                      5   1580.000000    316.000000    30.58  0.0003

 Error                      6     62.000000     10.333333

 Corrected Total           11   1642.000000


            R-Square     Coeff Var      Root MSE    sales Mean

            0.962241      6.303040      3.214550      51.00000


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

 height                     2   1544.000000    772.000000    74.71  <.0001
 width                      1     12.000000     12.000000     1.16  0.3226
 height*width               2     24.000000     12.000000     1.16  0.3747


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

 height                     2   1544.000000    772.000000    74.71  <.0001
 width                      1     12.000000     12.000000     1.16  0.3226
 height*width               2     24.000000     12.000000     1.16  0.3747

                      Two-way ANOVA With Interaction                      3

                             The GLM Procedure

                          t Tests (LSD) for sales

  NOTE: This test controls the Type I comparisonwise error rate, not the
                        experimentwise error rate.


                   Alpha                            0.05
                   Error Degrees of Freedom            6
                   Error Mean Square            10.33333
                   Critical Value of t           2.44691
                   Least Significant Difference   5.5619


        Means with the same letter are not significantly different.


            t Grouping          Mean      N    height

                     A        67.000      4    Middle

                     B        44.000      4    Bottom
                     B
                     B        42.000      4    Top

                     Two-way ANOVA Without Interaction                    4

                             The GLM Procedure

                         Class Level Information

                Class         Levels    Values

                height             3    Bottom Middle Top

                width              2    Regular Wide


                  Number of Observations Read          12
                  Number of Observations Used          12

                     Two-way ANOVA Without Interaction                    5

                             The GLM Procedure

Dependent Variable: sales

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

 Model                      3   1556.000000    518.666667    48.25  <.0001

 Error                      8     86.000000     10.750000

 Corrected Total           11   1642.000000


            R-Square     Coeff Var      Root MSE    sales Mean

            0.947625      6.428861      3.278719      51.00000


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

 height                     2   1544.000000    772.000000    71.81  <.0001
 width                      1     12.000000     12.000000     1.12  0.3216


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

 height                     2   1544.000000    772.000000    71.81  <.0001
 width                      1     12.000000     12.000000     1.12  0.3216

                     Two-way ANOVA Without Interaction                    6

                             The GLM Procedure

                          t Tests (LSD) for sales

  NOTE: This test controls the Type I comparisonwise error rate, not the
                        experimentwise error rate.


                   Alpha                            0.05
                   Error Degrees of Freedom            8
                   Error Mean Square               10.75
                   Critical Value of t           2.30600
                   Least Significant Difference   5.3463


        Means with the same letter are not significantly different.


            t Grouping          Mean      N    height

                     A        67.000      4    Middle

                     B        44.000      4    Bottom
                     B
                     B        42.000      4    Top