g src="Introduction_files/figure-html/unnamed-chunk-39-2.png" width="768"></p>
<p>Our inferences about the impact of a variable on the outcome in a GLM therefore depend quite heavily on how the interaction is modelled. It also worth pointing out that the surface of the AMEs on the log-odds (linear) scale are actually flat (as in an OLS model), so the the curved shape of the plot immediately above reflects only the conversion of the effects from the linear scale to the probability scale (and the distribution