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Dynamic factor structure of team performances in Liga MX
Authors:Francisco Corona  Nelson Muriel  Graciela Gonzlez-Farías
Institution:aInstituto Nacional de Estadística y Geografía, Mexico City, Mexico;bUniversidad Iberoamericana, Ciudad de Mexico, Mexico;cCentro de Investigación en Matemáticas, Guanajuato, Mexico
Abstract:Team performance of the Mexican Football League (Liga MX), measured as the percentage of the total points obtained during each short tournament, is analyzed using Dynamic Factor Models (DFMs). The estimation of the common components is carried out with Principal Components and the stochastic nature of the DFM is studied through Panel Analysis of Non-stationarity in Idiosyncratic and Common Components. The results reveal that there are two common factors, one being possibly non-stationary. These factors show an interesting dynamic behavior in the league and allow to split the teams into two groups, namely, top competitors and emerging or relegated teams. Some discussion is given in this direction.
Keywords:Cointegration  dynamic factor models  Liga MX  PANIC  principal components
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