I have 102 patients that were expected to receive 8601 doses of a drug in total. In reality, they received 7992 doses. I understand this to be an overall compliance of 92.9% in this group. Is this an appropriate measure of "mean" compliance?
I have also considered taking each of the patients' individual percentage compliance, then taking a mean of those percentage measures, e.g. if 51 of the patients were 50% compliant and the other 51 patients were 90% compliant, the mean would be 70%. Intuitively I think this may be wrong, but I can't explain why.
Finally, depending on the correct way to calculate the mean, what would be the most appropriate way to work out standard deviation?