Main Effect (1 of 2)
The main effect of an independent
variable is the effect of the variable averaging over all
levels of other variables in the
experiment. The means from the hypothetical experiment described in
the section on
factorial designs are
reproduced below.
Dose |
Simple Task |
Complex Task |
0 mg |
32 |
80 |
100 mg |
25 |
91 |
200 mg |
21 |
96 |
The main
effect of type of task is assessed by computing the mean for the two
levels of type of task averaging across all three levels of dosage.
The mean for the simple task is: (32 + 25 + 21)/3 = 26 and the mean
for the complex task is: (80 + 91 + 95)/3 = 86.67. The main effect of
type of task, therefore, involves a comparison of the mean of the
simple task (26) with the mean of the complex task (86.67).
Analysis of variance provides a
significance test for the main effect of
each variable in the design.