Interpreting Interactions in Generalized Linear Models

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Interpreting Interactions in Generalized Linear Models

Courtney Cronley
Hello Everyone,

I need some help interpreting a 2-way interaction in a negative binomial model that includes two
categorical predictors (VI - 3 categories, V2 - 3 categories) and two covariates. For example, my
interactions look something like this:

                           EXP(B)  P
V1-2 * V2-2    .55      .003
V1-2 * V2-1     1.33   .003
V1-2 * V2-0      ------ (REDUNDANT PARAMETER)

Based on this, I would expect that the interaction between V1-2*V2-2 results in a lower rate of
the outcome occurring compared to the interaction between V1-2 * V2-0.

When I check the estimated marginal means, though, I see that the EMM for V1-2*V2-2 is
GREATER than the EMM for V1-2*V2-0. Why is this?

Also, is it possible to graph interactions for GLZM? I can't seem to find a syntax example for this,
just for GLM.

Thanks in advance for any help that one can offer!

Courtney

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