I am doing data analysis on a clinical trial. I know the rule here is to do analysis according to intention to treat (ITT, ie. analyse according to the group to which the individuals were randomised). But I still need to perform a per-protocol analysis (i.e. analyse as per RECEIPT of intervention).
Suppose the total sample size is 100, with 50 in the intervention group; and 50 in control group.
By the end of trial, for the intervention group, in fact, only 40 patients received intervention. I need to perform a per-protocol analysis here.
It seems like the per-protocol analysis should compare the 40 patients (who really received intervention) and the 50 control group.
The question is can I move the 10 people (who did not receive intervention but in intervention group by randomization) to control group which can improve my statistical power (by increasing the sample size)?
i.e can I compare the 40 patients who really get the intervention with the 60 patients who did not receive the intervention?