An interaction in a factorial design is defined as.
A)a situation in which the effect of one independent variable depends upon the level of the other independent variable
B)the difference between main effect means for factors A and B
C)the sum of main effect means for factors A and B
D)the effect of one independent variable averaged across levels of the other independent variable

Question

Quizplus · Accepted Answer

An interaction in a factorial design occurs when the effect of one independent variable (factor) on the dependent variable is dependent on the level of another independent variable. In other words, the effect of factor A on the dependent variable may be different at different levels of factor B. It is represented by the interaction term in the statistical analysis of the factorial design. Therefore, option A is the correct choice. Options B, C, and D are incorrect as they do not define an interaction in a factorial design.

An Interaction in a Factorial Design Is Defined As