Factorial design
participants are observed across the combination of levels of two or more factors
Ex: factors= gender, attractiveness
Between-subjects factorial design
we observe different participants in each group created by combining the levels of at least two factors
*total of participants= sample size x # of levels for each factor
10 x 3 x 2 = 60 participants
Within-subjects factorial design
we observe the same participants in each group created by combining the levels of at least two factors
Mixed factorial design
we create groups by crossing the levels of at least one between-subjects factor and one within-subjects factor
Main effects
A source of variation associated with mean differences across the levels of a single factor
In a table summary, a main effect is a measure if how the row and column means differ across the levels of a single factor
Interaction effects
A source of variation associated with how effects of one factor are influenced by, or depend on, the levels of a second factor
In a table summary, an interaction is a measure of how cell means at each level of one factor change across the levels of a second factor
Reasons for using factorial designs
To replicate a previous finding and also in the same design demonstrate a new finding
To control for possible threats to validly by adding possible threats as factors in a factorial design
Enhance the informativeness of interpretation because it allows us to analyze the effects of 2 or more factors simultaneously