(No Mod) Factorial Designs Flashcards
Define factorial design
Containing more than 2 predictor variables
Why is 4 or more predictors difficult to manage in an experiment?
Difficult to analyze and may not be able to get enough participants for each group if it is a between subjects design: may mean less power
2 x 2 design (LEFT TO RIGHT)
NUMBER OF PREDICTORS X NUMBER OF LEVELS
2 predictors with 2 levels
EXAMPLE: no therapy vs wilderness camp therapy, nonviolent vs violent criminals
2 x 3 design
2 predictors with 3 levels
Why can we not conduct a 2x2 factorial design separately?
It is more efficient to do it together
Can look for interaction effects
Main Effect
isolating one predictor to see its effect on the outcome
Interaction Effect
when effect of one IV depends on the level of another IV
Real life interaction applications
usually when the statement “this is true, ESPECIALLY IN THIS CASE”
“especially among teenagers”
“especially among elderly”
Mixed Factorial Design
Contains a between subjects variable and a within subjects variable
Quasi experimental
does not use random assignment because the feature is already preexisting (can’t randomly assign people to be alcoholics or not)
How to tell whether there is an interaction effect on a bar graph
To identify an interaction in a bar graph, look for a “difference in differences.” First, look for the difference between high- and normal expectations for 7-year- olds: a difference of about 15 points. Now look at the difference between high and normal expectations for 15-year-olds: a difference of 0 points. The difference of 15 is different from the difference of 0. The differences are different. This is the mark of an interaction: the effect of one IV (teacher expectations) is different across different levels of another IV (age).
How to tell a main effect on a bar graph
Use the same logic as for the line graphs: are the black bars, in general, higher or lower than the lighter bars? Yes, the black bars are higher. Are the two bars for 7- year-olds higher or lower than the two bars for 15-year-olds? It looks like the bars for 15-year- olds might be slightly higher.