I've made a bar plot and I calculated confidence intervals by hand,
and I want to be sure that it's interpretable. That is, do they have the same interpretation that they would if the point estimate was a mean or a logit? I understand that CIs for odds ratios and probabilities are inherently non-symmetric, but does this affect their interpretation?
For example, if I had two means and 83% of the total length of their CIs were non-overlapping, then the means are significantly different at .05. Would the same be true of CIs for predicted probabilities?