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3-way association model?

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Contributor
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3-way association model?

Hello,

 

I want to know if variable A influences the effect of variable B on variable C.

 

Would I use a saturated model or homogenous association (or something else entirely)? Clarification on the conceptual difference would be helpful! From what I understand, homogenous association is saying that B and C have a relationship and that relationship is identical at each level of A while the saturated model is saying that B and C have a relationship but that relationship does not have to be identical at each level of A? Thanks in advance for any help!!

Regular Contributor
Posts: 165

Re: 3-way association model?

Posted in reply to iressa131

yes, "model y= a|b|c" (see here https://blogs.sas.com/content/iml/2016/03/07/collection-effects-pairwise-interactions.html)

 

bear in mind, there's little statistical power for interaction effects; there'd have to be a specific interest in the Q. As you said, an interaction is an inconsistency of the strength of the effect across the levels of the other factor

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Posts: 386

Re: 3-way association model?

Posted in reply to iressa131

"I want to know if variable A influences the effect of variable B on variable C."

 

As you've stated it, this suggests that C is the response and A and B are predictors. If so, then you simply want to test if the A*B interaction is significant in this model:

 

model c = a b a*b;

 

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