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Factor: an IV in an experiment, especially those that include two or more IVs
Factorial Design: a research design that includes two or more factors (IVs)
A two-factor design has two IVs
A single-factor design has one IV
What is a Factor and a Factorial Design?
Each factor is crossed with each other factor
Number of Conditions = the product of the number of levels of each factor
EX) 2 (Time: Short vs. Long) x 2 (Usage Style: Passive vs. Active) Factorial Design
2 * 2 = 4 Conditions
EX) 2 (Time: Short vs. Long) x 2 (Usage Style: Passive vs. Active) x 2 (Gender: Male vs. Female) Factorial Design
2 2 2 = 8 Conditions
Why does the Number of Conditions matter?
Interaction Effect:
The effect that factor A has on the DV depends on factor B
EX) The effect of time spent on instagram on emotional well-being changes as a function of Instagram usage style
What is an Interaction?
If a study shows main effects and interactions, the interaction is always more important
Real differences in marginal means, but an interaction is more exciting
Most outcomes in psychological studies are not main effects, but interactions.
How are interactions more important than main effects?
Cross-over Interaction “It depends”
In this example, if you are trying to find out if people like cold or hot food. The answer is it depends on what food you give them. Hot or cold pancakes? Hot or cold ice cream?
Spreading Interaction (using “only when” or “especially when”)
In this example, the dog sits only when you have a treat.
What kind of Interactions are there?
11.2
Module done
The potential to blend several different research strategies within one study
That sort of potential develops studies that address scientific questions that could not be answered by any single strategy
What does mixing designs within a single research provide?
Uses both within- and between-subjects design
It is a factorial study that combines different research designs
It is used when one factor is expected to threaten validity
A common example of a mixed design is a factorial study with one between-subjects and one within-subjects
What are mixed designs?
Basic concepts of a two-factor research design can be extended to more complex designs involving three or more factors
Such as designs are referred to as higher-order factorial designs
In three-factor designs, main effects for each of the three factors are evaluated
Defining and interpreting higher-order interactions follows the pattern set by two-way interactions
Though more factors can be added without limit, more than three factors produce complex results that can be difficult to understand
What are Higher-Order Factorial Designs?
Depends partly on whether factors are:
Between-Subjects
Within-Subjects
Some mix of both
The standard practice includes:
Computing the mean for each treatment condition (cell)
Using ANOVA to evaluate the statistical significance of the mean differences
What is the Statistical Side of Factorial Designs?
11.3 - Applications of Factorial Design
Module Done
Replication
Repeating the previous study by using the same factor or IV as it was used prior
Expansion
Adding a second factor in the form of new conditions or new participant characteristics
What is Replication and Expansion?
Using a participant variable as a second factor
Reducing the variance within groups by using a specific variable as a second factor.. Meaning to create a two-factor study
Greatly reduces individual differences within each group
Does not sacrifice external validity
How do you reduce variance in a between-subjects design?
Using order of treatments as a second factor
This makes it possible to evaluate any order effects existing in the data
Three outcomes can occur:
No order effects
Symmetrical order effects
Nonsymmetrical order effects
How do you evaluate order effects in a within-subjects design?