Aplicaciones de nuevas metodologías para el monitoreo multivariado del rendimiento estudiantil utilizando gráficos de control y sistemas umbral.

Abstract

This paper uses the concept of data depth as well as the nonparametric control chart developed by Regina Liu, to monitor student performance in a group of subjects at an educational institution over a given period of time. The methodology uses a reference set obtained from the results themselves rather than ideal standards. This reference set serves to calibrate the control chart and therefore monitor subsequent data. The concept of data depth allows creating a univariate index from, in this case, two variables, to generate an order from "inside" to "outside" the point cloud, the most central point being the deepest. The subsequent calculation of the range from the depths is the basis of the chart r.