http://www.dcscience.net/2015/12/11/placebo-effects-are-weak...
The control for a placebo is no intervention, and not only has placebo effect been measured, but differential placebo effects by administration method have been measured (a placebo treatment that involves piercing the skin, for instance, has a bigger effect than a pill.) This is why a valid placebo needs to match administration method of the intervention being tested.
-Give people an effective drug tell them so.
-Give people a placebo tell them its a real drug.
-Give people a real drug tell them it may be placebo.
-Give them a placebo tell them it may be placebo.
It would certainly tell us something about the placebo.
it's larger in the sense that part of it is essentially impossible to control for; people in a clinical trial are predisposed to, at a minimum, think about the issue which is being investigated, which likely causes some sort of change in their mindset and subsequently their body. there's no real way to measure that adequately.
but it's smaller in the sense that the body isn't a system like in the Matrix where "the mind makes it real". if someone tells you that you drank lethal poison (but in actuality you drank a placebo), you might feel bad, but you won't die. the reverse is not necessarily true, bizarrely.
if you get a (unbeknownst to you) placebo/sham knee surgery as part of a trial to investigate the merit of a genuine surgical procedure designed explicitly to reduce pain, it'll reduce your pain almost as effectively as "the real deal". but here's the clincher. if you are told beforehand that it is a placebo, it'll still reduce your pain, although if i am remembering the study correctly it was a smaller benefit than those who were not told they received a placebo.
so if you know you're getting a placebo, the effect is WAY larger than it "should" be. but that's for a subjective variable -- pain. but when the subject isn't prompted about the effects of the placebo, or is administered a totally implausible placebo which can't possibly fix the issue -- like a pill to cure a severed arm -- it's even more impotent than we would expect.