I have some data I am using as inputs to create an economic model. In one case, I have incidence rates, incidence cases, population at risk, and standard error for a particular disease. The disease has two subtypes, and I have the same data mentioned for each.
I have calculated a ratio of the two subtypes to each other, expressed as a percent. Is there a way to now calculate a metric of confidence or variance for this percentage value?
The same question for another case, where I have two prevalences for the subtypes per 100,000 (95% CI), being 352 (333-372) and 256 (240-273). I have calculated a ratio of 57.9% (352/253+256) from these, and wondering if there is anyway to make use of the CI to determine a CI for the ratio/percentage?
Thanks in advance.