I am wondering if an experiment - if run long enough - would automatically rule out the placebo effect.
Or do we know that the placebo effect can successfully last, say, years? Or does it tend to only last a set period of time and then fizzle out (such as a few weeks at most)?
Is it possible to say whether or not something is likely not a placebo effect, provided the researchers are unable to introduce a placebo to try to control for it? If your only options are "do the treatment" and "not do the treatment" is there some point where one would feel statistically confident that it is not the placebo effect? By this, I am trying to give a thought experiment of "suppose you have a drug where you cannot replicate something to have the same shape and texture, so all you have is 'consume' or 'not consume' as options."
Because if the placebo effect reliably will last forever in test subjects, then the answer is no, we can never be statistically confident. However, maybe it tends to diminish over time, and after some period of time (like 3 months?) we begin to be able to say "this is likely not the placebo effect from the real thing" despite being unable to administer a placebo.
Are there any studies on this?