A Data Envelopment Analysis Evaluation and Financial Resources Reallocation for Brazilian Olympic Sports

摘要

This paper proposes the use of a Data Envelopment Analysis model to evaluate the Brazilian Olympic sports efficiency and also to reallocate the financial resources received by them. The sports selected were those that received financial resources from the Agnelo/Piva Law in 2011. As proposed in previous works, we use as inputs the funds received and medals offered, as a proxy for difficulty measure in winning a medal; and the results obtained (gold, silver and bronze medal) as outputs. We proposed to use the results from the Pan-American Games, specifically from the 2011 Pan-American Games, since we believe that the Olympic Games results were scarce to assess the sports efficiency as there are many null results for lots of sports. Therefore, the medals related to the 2011 Pan American Games are used in this paper. A DEA non-radial model with weights restrictions is formulated to perform the Olympic sports efficiency evaluation. With these results a financial resources reallocation is proposed using a ZSG-DEA non-radial approach. Results show that using data with minimal null medals leads to a good financial resources reallocation, based on the sports efficiency, without the need of including anymore variables or imposing additional weight restrictions.