# Interpretation of average marginal effect for proportion outcome in Poisson model with offset

To see the association of malaria prevalence with village level risk factors, I ran a Poisson model in r with the prevalence of malaria(y) as a dependent variable, altitude(x1) and Forestation(x2) as an independent variable and log of Population(x3) as an offset. Further, to estimate the independent effects of independent variables, I extracted the average marginal effects (AME) using margin command in R.

res<-glmer(y~x1+x2+(1|cluster), family = poisson, offset = log(x3))

margins(res)

However, now I am not sure how to interpret and present those AME numbers appropriately to lay person. You can have a look at this link which is a lead question of this question.

Thanks