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Combining DEA Window Analysis with the Malmquist Index Approach in a Study of the Canadian Banking Industry


  • Mette Asmild


  • Joseph Paradi


  • Vanita Aggarwall
  • Claire Schaffnit


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. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • Mette Asmild & Joseph Paradi & Vanita Aggarwall & Claire Schaffnit, 2004. "Combining DEA Window Analysis with the Malmquist Index Approach in a Study of the Canadian Banking Industry," Journal of Productivity Analysis, Springer, vol. 21(1), pages 67-89, January.
  • Handle: RePEc:kap:jproda:v:21:y:2004:i:1:p:67-89
    DOI: 10.1023/

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    References listed on IDEAS

    1. Charles Freedman, 1998. "The Canadian Banking System," Technical Reports 81, Bank of Canada.
    2. Cook, Wade D. & Hababou, Moez, 2001. "Sales performance measurement in bank branches," Omega, Elsevier, vol. 29(4), pages 299-307, August.
    3. Rikard Althin, 2001. "Measurement of Productivity Changes: Two Malmquist Index Approaches," Journal of Productivity Analysis, Springer, vol. 16(2), pages 107-128, September.
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