From 1930 to 1937 Lancelot Hogben FRS occupied the Chair of Social Biology at the London School of Economics and Political Science. According to standard histories of this appointment, he and R. A. Fisher FRS both applied for the position, but Hogben was selected over Fisher. The episode has received attention in large part because of the later prominence of the two figures involved. The surviving archival records, however, tell a remarkably different story. Neither Fisher nor Hogben was ever an official candidate for the chair. Indeed, Fisher seems not to have applied for the position at all, and Hogben was approached only behind the scenes of the official search. The purpose of this paper is to correct and complete the history of this episode.