In a 2x2 factorial design, how many main effects and how many interactions are present?

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Multiple Choice

In a 2x2 factorial design, how many main effects and how many interactions are present?

Explanation:
In a 2x2 factorial design there are two factors, each with two levels. Each factor can influence the dependent variable on its own, giving two main effects—one for each factor. There is also a single possible interaction between the two factors, which shows whether the effect of one factor depends on the level of the other. Since there are only two factors, there is only one interaction to consider. So the design yields two main effects and one interaction effect.

In a 2x2 factorial design there are two factors, each with two levels. Each factor can influence the dependent variable on its own, giving two main effects—one for each factor. There is also a single possible interaction between the two factors, which shows whether the effect of one factor depends on the level of the other. Since there are only two factors, there is only one interaction to consider. So the design yields two main effects and one interaction effect.

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