I'm doing a study on health literacy and medication adherence rates. Also want to find if there are other issues that cause medication non-compliance in participants of the study such as alcoholism. What would be the best analysis for this?
I think you could do a qualitative open survey, with open-ended questions about "everything related to people's lives", and then do an analysis on the most prevalent characteristics.
One of the ways may be to nest a case-control like study, where you will analyse the odds of medication non-compliance with regards to participants previous characteristics and behaviours and compare between those that are compliant to those who are not.