A factorial ANOVA is done when the independent variables are categorical.
- N Independent Variables (IVs). Variables that are manipulated.
Difference between a one-way and a factorial ANOVA
Difference between a one-way and a factorial ANOVA:
- the number of F-ratios
Independent by design
- independent from one another
- independent by design (An equal number of the subjects are randomly assigned to all conditions)
That's why we can test multiple hypotheses in one experiment.
I could have main effects and have an interaction, or have main effects and no interaction.
- explore that interaction,
- to figure out where that interaction is coming from.
The way to do that is through simple effects analysis.
degree of freedom
If we sum the degree of freedom all up, it should come out to the total number of subjects in the experiment minus 1.