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Topic:

Interaction Between Two and Three Factors

Essay Instructions:

Discussion of interaction terms.

a. In your own words, explain what it means for there to be an interaction between two factors.

b. In your own words, explain what it means for there to be an interaction between three factors.

c. In real experiments, what do you expect to be more common, two-way interactions or three-way interactions? Why? Note: you can argue either way, as long as it's well-justified. Contemplating this question will prepare you for fractional factorial designs.

Essay Sample Content Preview:

Interaction Term
Name Course Instructor Date
a. In your own words, explain what it means for there to be an interaction between two factors.
In a factorial experiment when there is a model with at least two independent variables where there is an interaction between two factors. This reflects the close relations between two independent variables such that the effect of one variable on outcome depends on the interaction between the two variables. In a model, the effect of one independent variable is likely to be the interaction between both factors besides the two main effects. The two-way analysis of variance helps to determine the main effect of the two independent variables and the interaction.
b. In your own words, explain what it means for there to be an interaction between three factors.
In a three-way factorial design, an interaction between three factors occurs when there is a change in the tw...
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