Estimating Alternative Technology Sets in Nonparametric Efficiency Analysis: Restriction Tests for Panel and Clustered Data

35 Pages Posted: 28 Mar 2013

See all articles by Anne Neumann

Anne Neumann

German Institute for Economic Research (DIW Berlin)

Maria Nieswand

German Institute for Economic Research (DIW Berlin)

Torben Schubert

Fraunhofer Institut für Systemtechnik und Innovationsforschung

Date Written: February 1, 2013

Abstract

Nonparametric efficiency analysis has become a widely applied technique to support industrial benchmarking as well as a variety of incentive- based regulation policies. In practice such exercises are often plagued by incomplete knowledge about the correct specifications of inputs and outputs. Simar and Wilson (2001) and Schubert and Simar (2011) propose restriction tests to support such specification decisions for cross-section data. However, the typical oligopolized market structure pertinent to regulation contexts often leads to low numbers of cross-section observations, rendering reliable estimation based on these tests practically unfeasible. This small-sample problem could often be avoided with the use of panel data, which would in any case require an extension of the cross-section restriction tests to handle panel data. In this paper we derive these tests. We prove the consistency of the proposed method and apply it to a sample of US natural gas transmission companies in 2003 through 2007. We find that the total quantity of gas delivered and gas delivered in peak periods measure essentially the same output. Therefore only one needs to be included. We also show that the length of mains as a measure of transportation service is non-redundant and therefore must be included.

Keywords: Benchmarking models, network industries, nonparametric efficiency estimation, data envelopment analysis, testing restrictions, subsampling, bootstrap

JEL Classification: C14, L51, L95

Suggested Citation

Neumann, Anne and Nieswand, Maria and Schubert, Torben, Estimating Alternative Technology Sets in Nonparametric Efficiency Analysis: Restriction Tests for Panel and Clustered Data (February 1, 2013). DIW Berlin Discussion Paper No. 1283. Available at SSRN: https://ssrn.com/abstract=2239765 or http://dx.doi.org/10.2139/ssrn.2239765

Anne Neumann (Contact Author)

German Institute for Economic Research (DIW Berlin) ( email )

Mohrenstraße 58
Berlin, 10117
Germany

Maria Nieswand

German Institute for Economic Research (DIW Berlin) ( email )

Mohrenstraße 58
Berlin, 10117
Germany

Torben Schubert

Fraunhofer Institut für Systemtechnik und Innovationsforschung ( email )

Breslauer Str. 48
Karlsruhe, 76139
United States

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