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In a 2x2x2 design, you find a three-way interaction between medication (placebo, Prozac), age, and gender. There is no difference in how the placebo interacts with age and gender. However, Prozac makes some participants better and others worse. Conduct further analysis to understand the specific nature and implications of this three-way interaction.

Answer :

Final answer:

In a 2x2x2 design, if you find a three-way interaction between medication, age, and gender, further analysis is needed to understand the specific nature and implications of this interaction. Prozac's varying effects on participants depending on their age and gender suggest that it may interact differently with different populations.

Explanation:

In a 2x2x2 design, if you find a three-way interaction between medication (placebo, Prozac), age, and gender, where there was no difference between how placebo interacted with age and gender, but Prozac made some participants better and others worse, then you would need to conduct further analysis to understand the specific nature and implications of this three-way interaction.

A three-way interaction suggests that the effect of one variable (medication) on the outcome depends on the levels of the other two variables (age and gender). In this case, the fact that Prozac had varying effects on participants depending on their age and gender indicates that it may interact differently with different populations.

To fully understand this interaction, you would need to further analyze the data, perhaps by stratifying the results by age and gender to examine the specific patterns and effects related to each subgroup.

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