A copula model to analyze minimum admission scores

The Asymmetric Cubic Sections copula family is used to describe the dependence between language and mathematics scores of admission test. The parameters of the copula are annually estimated by means of a non-informative Bayesian method. The application focus on measuring the impact of conditioning language result to a mathematics minimum grade and vice-versa, this paper shows some initial results in that line. In addition, the analytical expression for each conditional expectation is shown together with a description of its monotonic behavior.