A DEA Approach to Evaluating Characteristics of J-League Players in terms of Time played and Player Similarity

Nobuyoshi Hirotsu, Kiyoshi Osawa, Yukihiro Aoba
and Masafumi Yoshimura

[Received November 4, 2014; Accepted October 8, 2015] 

In this paper, J-league player performance was evaluated using data envelopment analysis (DEA) models to identify player characteristics from the standpoints of time played and player similarity. For this purpose, the concepts of scale efficiency and super efficiency were introduced to this study. Time played was used as the input and data from ten basic plays or actions such as goals, passes, dribbles and fouls, were used as the outputs. The performance of J-league field players was analyzed according to player position using data from the 2013 season based on the CCR (Charnes-Cooper-Rhodes) and BCC (Banker-Charnes-Cooper) models. Characteristics were discussed in reference not only to efficiency scores, but also scale efficiency and super efficiency scores. The suitability of player time on pitch was identified by scale efficiency with estimation of returns to scale. Efficient players were differentiated by super efficiency scores, and the relationship between efficient players was quantified with regard to the characteristics of plays in the position.

Keywords: BCC, DEA, Eavaluation, Scale Efficiency, Super Efficiency

[Football Science Vol.13, 9-25, 2016]