ABSTRACT
This chapter explores various ways in which factors can interact with one another. After developing the concepts, the chapter considers their implications for analyzing data from higher order factorial designs. The chapter discusses the effects of gender, which makes this study a three-factor design. In general, the main effect for a factor in any factorial design involves comparing the levels of that factor after having averaged over all other factors in the design. The main-effects would seem to suggest that they should be combined, because all factors had highly significant main effects. In terms of analysis, the same general issues are pertinent in the three-way design as were pertinent in the two-way design. In particular, it is once again true that there are different weights that can be applied when one or more factors are averaged over.
