Who is the Greatest Team in Liga MX? A Dynamic Analysis

In this paper we approach a very attractive question in Mexican sport media TV: Who is the greatest team in Liga MX? For this purpose we apply Principal Components to a historical domestic and international results database along with variables related with the fans and the market value of the franchises' roster during the period 2011-2019. We analyze the percentage of variability explained by estimating factor loadings and their confidence interval, and factor scores. The results allow us to analyze the evolution of the "greatness" latent variable over time, concluding that, in the window of time analyzed, America is the greatest team, followed by Guadalajara and Cruz Azul. Additionally, Tigres and Monterrey displace teams like UNAM and Toluca, fact attributed to their recent popularity and the financial investment. The most relevant variables in the principal components are the games played in play-offs, the domestic titles, the games played in CONMEBOL, the popularity and the market value of the franchises. On the other hand, the variable with smallest importance is the number of titles in Copa MX.