A shoe store wants to do a study to determine differences between left and right handed shoppers. At the front of the store, they display 3 different types of sneakers. They chart the handedness of each shopper and their preference rating for each type of sneaker. What is the factorial design for the study? How many conditions does the study have?
Question
A shoe store wants to do a study to determine differences between left and right handed shoppers. At the front of the store, they display 3 different types of sneakers. They chart the handedness of each shopper and their preference rating for each type of sneaker. What is the factorial design for the study? How many conditions does the study have?
Solution
The factorial design for this study is a 2 (handedness: left, right) x 3 (sneaker type: 1, 2, 3) design. This design is used when researchers want to study the effect of two or more independent variables at different levels on the dependent variable.
In this case, the independent variables are handedness and sneaker type. Handedness has 2 levels (left and right) and sneaker type has 3 levels (1, 2, 3).
The number of conditions in a factorial design is calculated by multiplying the number of levels in each independent variable. So, for this study, there are 2 (levels of handedness) x 3 (levels of sneaker type) = 6 conditions.
These conditions could be:
- Left-handed, Sneaker 1
- Left-handed, Sneaker 2
- Left-handed, Sneaker 3
- Right-handed, Sneaker 1
- Right-handed, Sneaker 2
- Right-handed, Sneaker 3
Each condition represents a unique combination of the levels of the independent variables.
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