Answer the following questions on factorial experiments

a. The model for a 3 way factorial experiment includes 3 main effects, 3 two-way interactions and 1 three way interaction. Write out the skeleton ANOVA table, i.e. the sources of variation and their d.f., assuming that no plants died. There are a total of 120 plants in the study.

b. In the ANOVA table, each effect has an associated F test. Which F test would you look at to decide whether the difference between the two species, averaged over the sites, was similar or different in the two experiments? Which F test would you look at to decide whether the pattern of interactions between species and sites was similar or different in the two experiments?