I am performing a mixed-effects Poisson regression on count data in R and have estimates for an intercept (my control) and two factors. The estimates of the fixed effects are on the log scale, so I took the exponential of them. I am aware that this works well for the estimates but not for their standard errors, so I calculated confidence intervals on the log scale that I then back-transformed by taking the exponential. As the estimates of the fixed effects are relative to the intercept, I multiplied them by the intercept to get absolute estimates for a bar graph (estimated mean counts). But what do I do to calculate the corresponding confidence intervals?

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