Another example of this was Millikan's determination of the fundamental electric charge (of one electron). The first, famous experiment had a major error; and subsequently everyone who independently replicated the experiment, for two decades, came up with the same error, in the same direction. The people whose experiments got the correct value probably self-selected themselves out of publishing it.
https://en.wikipedia.org/wiki/Oil_drop_experiment?useskin=ve... ("Millikan's experiment as an example of psychological effects in scientific methodology")