Combining DEA window analysis with the Malmquist index approach in a study of the Canadian banking industry

Mette Asmild, Joseph C. Paradi*, Vanita Aggarwall, Claire Schaffnit

*Corresponding author for this work
206 Citations (Scopus)

Abstract

The banking industry in Canada is essentially an oligopoly with five large participants controlling about 90% of the market. To evaluate the industry's performance over time, we need to deal with the problem of a small number of DMU's compared to the number of relevant inputs and outputs. To overcome this problem we use data envelopment analysis (DEA) window analysis, whereby efficiency scores for the 20 year period 1981-2000 are obtained. To measure productivity changes over time, Malmquist indices can be calculated from DEA scores. Using DEA window analysis scores, however, raise the question of how to define the "same period frontier" in a DEA window analysis. We show that for both the adjacent and the base period Malmquist index and for all suggested definitions of same period frontier, the standard decomposition into frontier shift and catching up effects gives inappropriate results when Malmquist indices are based on DEA window analysis scores.

Original languageEnglish
JournalJournal of Productivity Analysis
Volume21
Issue number1
Pages (from-to)67-89
Number of pages23
ISSN0895-562X
DOIs
Publication statusPublished - 2004
Externally publishedYes

Keywords

  • Canadian banking
  • DEA window analysis
  • Decomposition
  • Malmquist index

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