Factorial design activity: Graphing cell means to visualize main effects and interactions
The numbers in the black boxes represent group means in a 2 x 2 design. The marginal means for factors A and B are also shown. The cell means are plotted as line graphs and as bar graphs.
The four graphs all show the same cell means. On the left, the two levels of factor A are on the xaxis, with different lines or bars representing the levels of factor B. The two graphs on the right show factor B on the xaxis. Why do the left and right graphs sometimes look so different? Which one of the four graphs do you think best communicates the results? 
Change the cell means to produce . . .

Notes
This activity is based, in part, on a computer program described by Strube and Goldstein:
Strube, M. J., & Goldstein, M. D. (1995). A computer program that demonstrates the difference between main effects and interactions. Teaching of Psychology, 22, 207208.
The graphs are made with jQuery and Flot.
This activity is based, in part, on a computer program described by Strube and Goldstein:
Strube, M. J., & Goldstein, M. D. (1995). A computer program that demonstrates the difference between main effects and interactions. Teaching of Psychology, 22, 207208.
The graphs are made with jQuery and Flot.