Hello,
I am doing a logistic regression and we have a small sample (438) with a small number of people with the outcome, or counter outcome. There are 15 predictors. I have moved to doing a FIRTH logistic regression for the problem with quasi complete separation. It solves the problem. However, my issue is I do not know what to do with the output. The betas are not the odds ratios, right?! So what do I do with a 1.088 beta for an outcome that is 1/0? I know I could say that we have validated that there is a statistically significant relationship (pvalue) but that's all I can see. I have not seen a single article that uses FIRTH regression and talks about odds ratios or odds of the event.
The logistic regressions show the effect is approximately and odds ratio of 3:1. I know it is unstable though because of the quasi complete separation and I continue to have gender dropped from the model (Even though SPSS keeps the values in the model--drops the name).
Thoughts?! Any resources are appreciated.