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Dynamic factor structure of team performances in Liga MX
Francisco Corona1, Nelson Muriel2, Graciela González-Farías3
1Instituto Nacional de Estadística y Geografía, Mexico City, 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.
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