The table gives data for a 3 × 3 factorial experiment, with two replications per treatment:

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.

Transcribed Image Text:

Levels of Factor A Levels of Factor B1 5, 7 9, 7 4, 6 8, 7 12, 13 7, 10 14, 11 8, 9 12,15