A Pacific Standard journalist ran a nice description of a factorial design, subtitled "new research finds body odor is less disgusting if we share an identity with the smelly person in question." The study they were reviewing was a factorial design. Read about it and try to figure out the study's IVs and DVs.
The introduction to the study focuses on tribalism and group identity. Group identities can includeour family memberships, teams we belong to, or our regular social groups--even the universities we attend. The Pacific Standard story reports:
"Group identities affect not only social perceptions, but also our basic sensual experiences," writes a research team led by Stephen Reicher of the University of St. Andrews and John Drury of the University of Sussex. Their paper is published in the Proceedings of the National Academy of Sciences.
In this study, the researchers approached the issue from the opposite perspective, asking if an item that is physically disgusting (a sweaty T-shirt) is less repulsive if it was soiled by "one of our own."
The disgusting T-shirts were created by asking a research assistant wear each shirt for a week, even during workouts and while sleeping.
After making a few shirts smelly in this way, the researchers conducted two studies. Here is a description of one of the studies they reported. It was a factorial design, so as you read it, think about what its IVs are.
[The study] featured 90 students from St. Andrews University who sniffed a smelly T-shirt emblazoned with either the logo of their school, that of a nearby rival university, or no logo at all. ...their instruction sheet stated that researchers were measuring the ability of either "St. Andrews University students" or, simply, "students."
Here are the results:
Participants whose identity as a St. Andrews student was made salient "went to wash their hands more quickly, and used more soap," after smelling a shirt with either their rival's logo or no logo.
They rushed to the hand sanitizing station after smelling the shirt with the rival school's logo, getting there in three and one-half seconds (on average). In contrast, those who smelled a shirt with their own school's logo ambled over; it took about six seconds. It seems they were significantly less bothered by the stink.
[The results showed that] Thinking of yourself as a "St. Andrews student" reduced disgust only for fellow St. Andrews students, but conceiving your identity in broader terms—as "a student"—reduced disgust for all students.
Questions about the study:
a) What is one of the independent variables? How many levels does it have, and what were the levels?
b) What is the other independent variable? How many levels does it have, and what were they?
c) What was the dependent variable? (There seem to be a couple of dependent variables but the results focus on one of them).
d) State the design (e.g. 2x2? 3x3? Is it independent groups? Within groups? mixed?)
e) The description allows you to sketch a graph of the results. Give that a try! Remember to put the DV on the y axis, one IV on the x-axis, and another IV as the color of the bars or the lines.
f) Now take a look at your graph, and think about whether there are main effects and interactions in this pattern. Is there a main effect for the first IV? If so, describe it ("such that..."). Is there a main effect for the second IV? If so, describe it. Is there an interaction? If so, describe it.
Selected answers
a) - c) This is a 2x3 independent groups factorial design with "identity" as the first IV (2 levels: "St. Andrews" or "A student") and "shirt" as the second IV (3 levels: St. Andrews, Rival school, or no logo). The dependent variables were how fast people walked to the sanitizing station and also how much soap they used.
e) You can see the actual graph of the results by clicking here. The authors put the 2-level variable on the x-axis, but you could also graph it with the t-shirt variable on the x-axis.
f) Here's how the authors of the original described the results for the DV of how fast people walked:
Time spent walking to the hand sanitizer.
There was a significant main effect of t-shirt [St Andrews, M = 6.06, SD = 1.76; Dundee, M = 4.52, SD = 1.50; plain, M = 4.09, SD = 0.69, F(2, 79) = 17.12, P < 0.001,η2 = 0.30]. Post hoc Tukey tests revealed that participants smelling a St Andrews University t-shirt took significantly longer to walk to the hand sanitizer than participants who smelled a Dundee University or plain t-shirt (both P < 0.001). There was no significant difference in time walking between the Dundee University and plain t-shirt conditions. This main effect was qualified by a significant interaction between t-shirt and identity salience: F(2, 79) = 4.22, P = 0.02, η2 = 0.10 (Fig. 3).