I'd think that "famous experiments where the original result was clearly correct" are exactly those whose results have already been replicated repeatedly. If they haven't been replicated they may well be famous -- Stanford prison experiment, I'm looking at you -- but they aren't clearly correct.
I was thinking more "What is the error rate in replication experiments when we know the results from the original experiment were correct?" So if mixing X and Y under certain conditions has to yield Z, how often when scientists actually try to do this do they get Z?
Jason Mitchell is [edit: has been] the John L. Loeb Associate Professor of the Social Sciences at Harvard. He has won the National Academy of Science's Troland Award as well as the Association for Psychological Science's Janet Taylor Spence Award for Transformative Early Career Contribution.
Here, he argues against the principle of replicability of experiments in science. Apparently, it's disrespectful, and presumptively wrong.
This is why we can't have social science. Not because the subject is not amenable to the scientific method -- it obviously is. People are conducting controlled experiments and other people are attempting to replicate the results. So far, so good. Rather, the problem is that at least one celebrated authority in the field hates that, and would prefer much, much more deference to authority.