The table gives data for a 3 x 3 factorial experiment, with two replications per treatment:
Â
Levels of Factor A
Levels of Factor B
1
2
3
5, 7
9, 7
4, 6
8, 7
12, 13
7, 10
14, 11
8, 9
12, 15
a. Perform an analysis of variance for the data, and present the results in an analysis of variance table.
b. What do we mean when we say that factors A and B interact?
c. Do the data provide sufficient evidence to indicate interaction between factors A and B? Test using a = .05.
d. Find the approximate p-value for the test in part c.
e. What are the practical implications of your results in part c? Explain your results using a line graph similar to the one in Figure 11.11.
Figure 7.1 Probability histogram for the N = 5 population values in Example 7.3
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