A new proposal for the detection of laboratories that provide not consistent results in an ILS is based on functional data analysis techniques, random projections and the functional extensions of Mandel’s h and k statistics. Based on these statistics, the approach to contrast the Repeatability and Reproducibility Hypotheses for the functional case will be carried out. The key idea of this new methodology is to transfer the resolution of a functional problem to a simpler case of study, the real case.