ON THE PREDICTIVE PROPERTIES OF BINARY LINK FUNCTIONS NECLA GÜNDÜZ AND ERNEST FOKOUÉAbstract. This paper provides a theoretical and computational justi…cation of the long held claim of the similarity of the probit and logit link functions often used in binary classi…cation. Despite this widespread recognition of the strong similarities between these two link functions, very few (if any) researchers have dedicated time to carry out a formal study aimed at establishing and characterizing …rmly all the aspects of the similarities and di¤erences. This paper proposes a de…nition of both structural and predictive equivalence of link functions-based binary regression models, and explores the various ways in which they are either similar or dissimilar. From a predictive analytics perspective, it turns out that not only are probit and logit perfectly predictively concordant, but the other link functions like cauchit and complementary log log enjoy very high percentage of predictive equivalence. Throughout this paper, simulated and real life examples demonstrate all the equivalence results that we prove theoretically.