Involve one independent variable and one dependent variable
Psychological science hypotheses
More complex, involve studying two or more independent variables
Experiments with one independent variable
Researchers look for a simple difference, such as the difference between being drunk or sober or the difference between being on a cell phone or not
Experiments with two independent variables
Researchers are testing for interactions, asking whether the effect of one independent variable depends on the level of the other one
Interaction
A "difference in differences"
Factorial designs
Cross two or more independent variables, creating conditions (cells) that represent every possible combination of the levels of each independent variable
Factorial designs
Can describe multiple influences on behavior; they enable researchers to test their theories and determine whether some manipulation affects one type of person more than another
Analyzing data from a factorial design
Look for main effects for each independent variable by estimating the marginal means, then look for interaction effects by checking for a difference in differences (in a line graph, interactions appear as nonparallel lines)
When there is an interaction effect, it is more important than any main effects found
Factorial variations
The factors can be independent-groups or within-groups variables
The factors can be manipulated (independent) variables or measured, participant variables
When a factorial design has three or more independent variables, the number of interactions increases to include all possible combinations of the independent variables
In a design with three independent variables
The three-way interaction tests whether two-way interactions are the same at the levels of the third independent variable
In empirical journal articles, the type of design is given in the Method section
In popular media stories, factorial designs may be indicated by language such as "it depends" and "only when," or descriptions of both participant variables and independent variables