Data Envelopment Analysis with Aggregated Inputs and a Test of Allocative Efficiency When Input Prices Vary Across Firms

Suggested Citation
Subhash C. Ray and Kankana Mukherjee (2017), “Data Envelopment Analysis with Aggregated Inputs and a Test of Allocative Efficiency When Input Prices Vary Across Firms”, Data Envelopment Analysis Journal: Vol. 2: No. 2, pp 141-161. http://dx.doi.org/10.1561/103.00000015
Publication Date: 27 Sep 2017
© 2017 S. C. Ray and K. Mukherjee
Subjects
Productivity measurement and analysis
Keywords
Cost efficiency, Distance function, Input aggregation

JOURNALS

In this article:

1. Introduction
2. Characterizing the Technology
3. The DEA Methodology
4. Input Aggregation when Prices vary Across Firms
5. Measuring the Effect of Variation in Relative Prices Through Simulation
6. Conclusion
References

Abstract

In this paper we generalize the allocative efficiency test of Banker et al. (2007) to the situation where relative input prices vary across firms. It is shown that when firms face different input prices, using actual expenses for measuring aggregated inputs (as is a common practice) would lead to misleading conclusions about allocative efficiency. We describe the appropriate procedure for constructing the aggregate input when the relative prices are known and they vary across firms. The parallel between input aggregation in DEA and parameter restriction in regression models is also pointed out. The proposed aggregation procedure needs to be followed, irrespective of whether the subsequent statistical test is parametric, standard nonparametric, or based on bootstrap.

DOI:10.1561/103.00000015