In Peru, research has been encouraged in recent years. This situation has led to the fact that most universities are aware of the evolution of research rankings. The problem is that many of these research rankings do not take into account the size of the universities, and that is why they are unfair when comparing large universities with small universities. In this sense, the present work proposes a new index to measure the scientific production of universities. The results show a significant difference between the rankings that only take into account the number of publications, with the ranking developed in the present work considering the size of the universities. The results show surprising results, especially for small universities that invest in research.