Contents
What does it mean to have a significant interaction effect in a factorial design?
Simple Effects. If there is a significant interaction, it indicates that, overall, the effect of one independent variable depends on the level of the other independent variable. In other words, the effect of an independent variable is different for different levels of the other independent variable.
How many interaction effects does a 2×3 factorial design have?
So a 2×2 factorial will have two levels or two factors and a 2×3 factorial will have three factors each at two levels.
What are main effects in a factorial design?
In a factorial design, the main effect of an independent variable is its overall effect averaged across all other independent variables. There is one main effect for each independent variable. There is an interaction between two independent variables when the effect of one depends on the level of the other.
How many main effects does a 2×3 have?
10.4.1 2×3 design Typically, there would be one DV.
How to interpret the results of a factorial experiment?
In the middle panel, one independent variable has a stronger effect at one level of the second independent variable than at the other. In the bottom panel, one independent variable has the opposite effect at one level of the second independent variable than at the other.
What are the main effects and interactions of factorial design?
2 x 2 x 3 = 12 and that is the number of cells — Main Effects and Interactions When doing factorial design there are two classes of effects that we are interested in: Main Effects and Interactions — There is the possibility of a main effect associated with each factor.
Can you interpret the main effects without considering interaction effects?
If the interaction effects are statistically significant in that analysis, you cannot interpret the main effects without considering the interaction effects. The type of fitted response values that Minitab displays depends on the type of response variable in your model. Minitab displays the following types of fitted values:
How does the interaction plot in factorial plots work?
The interaction plot displays the fitted response means for the values of the predictor on the x-axis. The values of the second predictor are displayed as follows: If the second predictor is categorical, then the plot displays a separate line for each level of that predictor.