I have to calculate a sample size for a study in which patients are treated for a set period of time with a drug. Subsequently, responders are followed up (but not treated) for an additional period of time to see if the symptoms return. The remaining patients (not followed up) are assumed to still be not-responders. So at the end of active treatment I expect to have 56% of responders and after end of the follow-up I assume that only 30% of original cohort can still be categorized as responders (observe that 44% of patients that did not present response at the end of treatment while not observed in the follow-up is categorized as non responders).
At first I thought about McNemar test, but the issue is with the fact that you cannot have non-responders at the conclusion of treatment become responders, so data for McNemar test look like this:
Follow-up |yes|no | End of treatment|yes |30 |26 | |no |0 |44 |
Observe that one cell has 0 (i.e. non responders cannot become responders). So what would be a correct way to test a difference in proportion between conclusion of treatment and follow-up treatment and as a consequence, how I should go about calculating sample size? I would be really grateful for any help!