Title
Joint use of DEA and constrained canonical correlation analysis for efficiency valuations involving categorical variables
Abstract
The research on efficiency valuations has used two distinct approaches. One is the nonparametric approach known as data envelopment analysis (DEA), the other is the parametric approach based on regression analysis or its extension such as constrained canonical correlation analysis (CCCA). Interestingly, a recent study has employed a hybrid approach that cross-fertilizes DEA and CCCA to compensate for the drawbacks of the two methods and capture their positive aspects. This approach first applies DEA to select efficient units and then utilizes CCCA to identify a smooth efficient frontier with the selected efficient units only. We extend it to incorporate a categorical variable that reflects an environmental effect on efficiency performance. The need for considering a categorical variable arises in practice for an equitable efficiency valuation, as illustrated by managerial performance evaluation of the branches of a fast-food company, where the location of branches such as commercial or noncommercial area significantly affects their performance. We demonstrate various possible ways to handle such a categorical variable in the framework of a hybrid approach and characterize each of the methods. Based on this study, we suggest one method that simultaneously utilizes an extension of DEA, referred to as DEA with categorical variable, and CCCA employing a dummy variable, as in multiple regressions with dummy variables. Through an application to the branches of a fast-food company, we show the efficacy of the suggested method in terms of penalizing the advantageous location effect and compensating for the disadvantageous location effect. We also provide some discussions on the limitations underlying the hybrid approach in order to guide a proper use of this approach to the other potential applications. Journal of the Operational Research Society (2009) 60, 1775-1785. doi:10.1057/jors.2008.136 Published online 10 December 2008
Year
DOI
Venue
2009
10.1057/jors.2008.136
JORS
Keywords
Field
DocType
management science,forecasting,operational research,computer science,investment,operations research,production,information technology,location,logistics,project management,inventory,canonical correlation analysis,marketing,information systems,communications technology,scheduling,reliability
Econometrics,Categorical variable,Regression analysis,Computer science,Canonical correlation,Dummy variable,Nonparametric statistics,Efficient frontier,Parametric statistics,Data envelopment analysis,Operations management
Journal
Volume
Issue
ISSN
60
12
0160-5682
Citations 
PageRank 
References 
1
0.35
7
Authors
4
Name
Order
Citations
PageRank
K. S. Park110.35
K. W. Lee220.70
M. S. Park312.38
D. Kim428535.51