The article studies special aspects of management of higher education institutions through the use of correlation analysis. There were twelve universities of Moscow and Moscow region that were included into selection. According to results of the conducted research the authors of article have come to the following conclusions. Universities' administrations are prone to compensate the defects of management, decrease of students' number and, as consequence, revenue contractions by laying off the teaching personnel. In this vein, teachers are the most voidable group in a system of higher education management. Meantime, the number of students does not influence the real financial revenue of higher education teaching personnel, which may increase only with the growth of teaching load. The same situation is with publication activity of academic staff. It seems, that universities' administration either does not use large-scale financial incentives to increase the publication activity of academic teaching personnel in journals from the information-analytical systems of scientific citation Web of Science and Scopus, or these incentives are not comparable with the labor and other costs of publishing scientific articles in these bases, which does not lead to the expected actions on the part of the faculty. In both cases, it is not fair to put the whole responsibility on managerial incompetence of higher institutions. The reasons, which lead to this situation, might be weak managemental independence, relatively lean funds allocated for research, which are most likely concentrated in leading universities.