Comparing multiple mean differences

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MM15
Posts: 11
Joined: Mon Jul 12, 2021 3:19 pm

Comparing multiple mean differences

Post by MM15 »

How would you compare multiple mean differences?
Anova post hoc tests Show significant differences for targets and non targets in different emotion categories . Now i want to know if these differences are significantly bigger for one Emotion category compared to another
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jonathon
Posts: 2613
Joined: Fri Jan 27, 2017 10:04 am

Re: Comparing multiple mean differences

Post by jonathon »

so the post-hoc tests (ostensibly) tell you if there's a significant difference between groups ... now you're wanting to test which difference between groups is greater?

i think you'll need a linear mixed model for this ... see gamlj.

jonathon
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reason180
Posts: 274
Joined: Mon Jul 24, 2017 4:56 pm

Re: Comparing multiple mean differences

Post by reason180 »

Given Emotion A and Emotion B, a 2-by-2 ANOVA will tell you whether the effect of Target vs. Non-Target is significantly different for Emotion A than for Emotion B. Specifically, if there is a significant interaction, then the difference between 54 and 28 is significantly different than the difference between 93 and 71.

Example pattern:
M = 54 [Non-Target; Emotion A]
M = 28 [Target; Emotion A]
M = 93 [Non-Target; Emotion B]
M = 71 [Target; Emotion B]
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