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statisticsregressionanovainteraction

How can I test this (interaction) pattern

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Hi, I have some troubles understanding which analysis is suitable to test this expected pattern. The idea here is that in Condition 1, the difference between A and B is higher, but small between C and IC. In Condition 2, the difference between C and IC should be higher, but lower between A and B. Ideally, I would like to test this via a three-way ANOVA (2x2x2), but as the graphs are parallel in both plots, it seems that there would not be a significant interaction. Does anyone have an idea? Thanks a lot in advance

Solution

  • The proposed model seems to be something like:

    RT ~ Condition * GroupAB * GroupCIC

    Based on the plots provided, this should produce output with:

    • no meaningful 3-way interaction, nor a meaningful 2-way interaction between GroupAB and GroupCIC since the lines are parallel in both conditions.

    • A meaningful Condition:GroupCIC interaction, since the lines are further apart in condition 2 that condition 1

    • A meaningful Condition:GroupAB interaction, since the slopes of the lines are different between the two conditions.