I have two possible exposure variables (A and B) for use in a statistical model predicting a binary health outcome. I have fitted models with each variable separately and now know that one variable is a better predictor of my outcome based on a comparison of R-squared and BIC values. However, the ORs for the two variables are quite similar with overlapping confidence intervals. The sample composition and size is the same for each model.
I would like to comment on whether the odds ratios are significantly different from one another. How can I do this?