Tests Supplementing Main Effects in Factorial Designs (1 of 3)

next
Hypothetical data from a two-factor design with three levels of Factor A and two levels of factor B are shown below:

A1
A2
A3
Marginal means
B1
5
4
6
5
Mean = 5
9
8
7
8
Mean = 8
7
9
9
8
Mean = 8.25
7.08
B2
4
3
6
8
Mean = 5.25
8
6
8
5
Mean = 6.75
8
9
7
6
Mean = 7.50
6.50
Marginal Means
5.125
7.375
7.875
6.79

The ANOVA summary table is shown below:

Source
df
SSq
Ms
F
p
A 2 34.333 17.17 9.29 0.0017
B 1 2.042 2.04 1.10 0.3070
AB 2 2.333 1.167 0.63 0.5431
Error 18 33.250 1.847
Total 23 71.958 3.129

next