Clustering in a Data Envelopment Analysis Using Bootstrapped Efficiency Scores
This paper explores the insight from the application of cluster analysis to the results of a Data Envelopment Analysis of productive behaviour. Cluster analysis involves the identification of groups among a set of different objects (individuals or characteristics). This is done via the definitions of a distance matrix that defines the relationship between the different objects, which then allows the determination of which objects are most similar into clusters. In the case of DEA, cluster analysis methods can be used to determine the degree of sensitivity of the efficiency score for a particular DMU to the presence of the other DMUs in the sample that make up the reference technology to that DMU. Using the bootstrapped values of the efficiency measures we construct two types of distance matrices. One is defined as a function of the variance covariance matrix of the scores with respect to each other. This implies that the covariance of the score of one DMU is used as a measure of the degree to which the efficiency measure for a single DMU is influenced by the efficiency level of another. An alternative distance measure is defined as a function of the ranks of the bootstrapped efficiency. An example is provided using both measures as the clustering distance for both a one input one output case and a two input two output case.
|Date of creation:||2001|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +61 3 8344 5355
Fax: +61 3 8344 6899
Web page: http://www.economics.unimelb.edu.au
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Hirschberg, J.G., 1996.
"Modelling Time of Day Sustitution Using the Second Moments of Demand,"
Department of Economics - Working Papers Series
506, The University of Melbourne.
- J. G. Hirschberg, 2000. "Modelling time of day substitution using the second moments of demand," Applied Economics, Taylor & Francis Journals, vol. 32(8), pages 979-986.
- Hirschberg, J.G. & Maasoumi, E. & Slottje, D.J., 2001.
"Clusters of Attributes and Well-Being in the US,"
Department of Economics - Working Papers Series
778, The University of Melbourne.
- Hirschberg, Joseph G. & Slottje, Daniel J., 1994. "An empirical Bayes approach to analyzing earnings functions for various occupations and industries," Journal of Econometrics, Elsevier, vol. 61(1), pages 65-79, March.
- Hirschberg, Joseph G. & Slottje, D. J., 1989. "Remembrance of things past the distribution of earnings across occupations and the kappa criterion," Journal of Econometrics, Elsevier, vol. 42(1), pages 121-130, September.
- G.D. Ferrier & J. G. Hirschberg, 1992. "Climate Control Efficiency," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 37-54.
- Simar, L. & Wilson, P.W., .
"Sensitivity analysis of efficiency scores: how to bootstrap in nonparametric frontier models,"
CORE Discussion Papers RP
-1304, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
- SIMAR, Léopold & WILSON, Paul, 1995. "Sensitivity Analysis to Efficiency Scores : How to Bootstrap in Nonparametric Frontier Models," CORE Discussion Papers 1995043, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
- Mickael Lothgren & Magnus Tambour, 1999. "Bootstrapping the data envelopment analysis Malmquist productivity index," Applied Economics, Taylor & Francis Journals, vol. 31(4), pages 417-425.
- Mei Xue & Patrick T. Harker, 1999. "Overcoming the Inherent Dependency of DEA Efficiency Scores: A Bootstrap Approach," Center for Financial Institutions Working Papers 99-17, Wharton School Center for Financial Institutions, University of Pennsylvania.
- Uwe Jensen, 2000. "Is it efficient to analyse efficiency rankings?," Empirical Economics, Springer, vol. 25(2), pages 189-208.
- Gary Ferrier & Joseph Hirschberg, 1999.
"Can We Bootstrap DEA Scores?,"
Journal of Productivity Analysis,
Springer, vol. 11(1), pages 81-92, February.
- Hirschberg, J.G. & Maasoumi, E. & Slottje, D.J., 1998. "The Environment and the Quality of Life in the United States Over Time," Department of Economics - Working Papers Series 654, The University of Melbourne.
When requesting a correction, please mention this item's handle: RePEc:mlb:wpaper:800. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Aminata Doumbia)
If references are entirely missing, you can add them using this form.