two way ANOVA Flashcards
interaction effect
whether the effect of the original independent variable depends on the level of another independent variable. “a difference in differences”
What is the mathematical way to describe an interaction of two independent variables?
There is a difference in differences. ex: the difference between the cell phone and control conditions might be different for older drivers than younger driver
spreading interaction
a situation where the effect of one independent variable significantly changes depending on the level of the other independent variable, but only at one level of that second variable, while showing a relatively consistent effect at the other level. ex: saying sandwiches taste better when you add either bacon or avadcado and ESPECIALLY good when you add both. adding avacado when you already had bacon leads to a large increase in deliciousness. (difference in differences)
factorial design
there are 2 or more independent variables
whats another word for conditions?
cells
participant variable
a variable whose levels are selected (measured) not manipulated ex: age
are variables such as age, gender, and ethnicity truly independent variables?
no but researchers often call them independent variables for the sake of simplicity
What is one reason why researchers conduct studies with factorial designs?
to test whether an independent variable affects different kinds of people or people in different situations in the same way
moderators
an independent variable that changes the relationship between another independent variable and a dependent variable. results in an interaction
why would researchers use factorial designs?
to test the generalizability for a causal variable but also to test theories a form of external validity and interactions show moderators
In a 2-way anova, what is there?
2 main effects and one interaction effect
main effect
the overall effect of one independent variable on the dependent variable, averaging over the levels of the other independent variable “is there an overall difference”
marginal means
each level of the independent variable averaging over levels of the other independent variable. The averages of rows and columns
If the sample size in each cell is exactly equal, how do you calculate the marginal mean?
taking a simple average
when there is both an interaction effect and main effect, which is more important?
interaction