ANOVA --three factor

Getting the ANOVA Table

  1. Enter the values into one column and then list the levels of the factorA  in the second column, the levels of factor B in the third column and the levels of factor C in the third column . Your worksheet should look like this.
 length       Time        Heat      Machine
   6              8             W             A
   9              8             W             A
   1              8             W             A
   3              8             W             A
   7              8             W             B

 
  1. Go to Stat, Basic Statistics, ANOVA, Balanced ANOVA. The following screen should appear.
  1. Enter the values into the Response box.
  2. Under the Model box, you need to enter the names of the three factors that you are using.
  3. You also need to add all of the interaction terms. If you are do a three factor problem, you should have four itneractions. For this problem, there is time*heat, heat*machine, time*machine, and the three way interaction, time*machine*heat.
  4. Hit O.K. You should get the following output.

ANOVA: length versus Time, Heat, Machine
 

Factor     Type   Levels  Values
Time        fixed      3        3     8    11
Heat        fixed      2         L     W
Machine   fixed      4        A     B     C     D
 

Analysis of Variance for length

Source                        DF         SS              MS           F         P
Time                            2       12.896          6.448      1.04    0.360
Heat                            1     100.042      100.042    16.10    0.000
Machine                      3     393.417      131.139    21.10     0.000
Time*Heat                   2        1.646          0.823      0.13     0.876
Time*Machine             6       71.021       11.837      1.90      0.092
Heat*Machine              3        1.542         0.514      0.08      0.969
Time*Heat*Machine     6       9.771         1.628      0.26       0.953
Error                           72   447.500         6.215
Total                           95 1037.833