Is it possible to have an interaction when there are no main effects in a factorial design quizlet?

Q: Is it possible to have an interaction when there are no main effects in a factorial design?

The simple answer is no, you dont always need main effects when there is an interaction. However, the interaction term will not have the same meaning as it would if both main effects were included in the model.

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Is it possible to have an interaction when there are no main effects in a factorial design?
How do you tell if there is an interaction in a factorial design?
What are the main effects in a factorial design what is an interaction?
What is the relationship between main effects and interactions quizlet?

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ANOVA can analyze any factorial design
The number of effects will depend on the number of independent variables (IVs)
•2 IVs: A & B main effects; AB interaction
•3 IVs: A, B, & C main effects; AB, AC, BC, & ABC interactions
•4 IVs: A, B, C, & D main effects; AB, AC, AD, BC, BD, CD, ABC, ABD, BCD, & ABCD interactions
•5 IVs: You DON'T want to know!

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Is it possible to have an interaction when there are no main effects in a factorial design?

The simple answer is no, you don't always need main effects when there is an interaction. However, the interaction term will not have the same meaning as it would if both main effects were included in the model.

How do you tell if there is an interaction in a factorial design?

In order to find an interaction, you must have a factorial design, in which the two (or more) independent variables are "crossed" with one another so that there are observations at every combination of levels of the two independent variables.

What are the main effects in a factorial design what is an interaction?

Factorial design involves a study that has two or more independent variables, or factors. The main effects of each factor is how it influences the dependent variable on its own, while interactions are how the factors work together to influence the dependent variable.