Suppose we have a completely randomized three-factor factorial experiment with levels 3 × 4× 6, with three replications of each of the 72 treatments. Assume that the three-way interaction is not significant.
a. Write a model to describe the response yijkm for this type of experiment.
b. Provide a complete AOV table for this type of experiment.
c. Sketch three profile plots to depict the following three two-way interactions: F1*F2 significant but orderly,F2*F3 nonsignificant, F1*F3 significant and disorderly.