For each of these models, do the following: (i) Draw a graph of the cell means, placing factor C on the horizontal axis. Use different lines (solid and broken) or line colors for the levels of factor...

For each of these models, do the following:

(i) Draw a graph of the cell means, placing factor C on the horizontal axis. Use different lines (solid and broken) or line colors for the levels of factor A and different symbols (e.g., circle and square) for the levels of factor B. Note that there will be four connected profiles of means on each of these plots, one profile for each combination of categories of A and B across the three levels of C. Attempt to interpret the graphs in terms of the effects that are included in each model.

(ii) Using the table of means generated from each of models (c) and (d), plot (for each model) the six differences across the levels of factor B, µ_j1m
- µ_j2m, by the categories of factors A and C. Can you account for the different patterns of these two graphs in terms of the presence of three-way interactions in the second graph but not in the first?