Table 4.7 is another table of interaction effects, with five rows and three columns (five levels of factor A and three levels of factor B). Again, we will assume that only some of the effects are known.
Table 4.7 interaction effects

a. Use Equation (4.8) to calculate the effect corresponding to each of the remaining cells.
b. In Table 4.7, eight cells are filled. If only seven cells were filled, would it be possible to calculate the effects corresponding to all remaining cells?
c. What are the degrees of freedom corresponding to any interaction term (in a balanced completely randomized design) with five levels of factor A and three levels of factor B? In other words, what is the minimum number of cells that must be filled in order to allow us to use Equation (4.8) to estimate all other effects?

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