Skip to main content
Log in

Random effects logistic regression model for data envelopment analysis with correlated decision making units

  • Theoretical Paper
  • Published:
Journal of the Operational Research Society

Abstract

This study attempts to exploit information from environmental variables together with data envelopment analysis (DEA) efficiency scores for efficiency predictions of groups with more limited information. Based on DEA efficiency scores, decision-making units (DMUs) are sorted into two sets containing efficient and inefficient units, respectively. Then they are reshuffled into homogeneous groups with respect to environmental factors. We assume that the efficiency of DMUs in such a homogeneous group would be correlated. However, efficiency of different groups would vary. A beta binomial logistic model is proposed to fit such phenomena and is applied to predict the performance of a new group of commercialization projects for given environmental characteristics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Banker RD, Charnes A and Cooper WW (1984). Some models for estimating technical and scale efficiency in data envelopment analysis. Mngt Sci 30: 1078–1092.

    Article  Google Scholar 

  • Banker RD and Morey R (1986). The use of categorical variables in data envelopment analysis. Mngt Sci 32: 1613–1627.

    Article  Google Scholar 

  • Charnes A, Cooper WW and Rhodes H (1978). Measuring the efficiency of decision making units. Eur J Opnl Res 2: 429–444.

    Article  Google Scholar 

  • Charnes A, Cooper WW, Lewin AY and Seiford LM (1994). Data Envelopment Analysis: Theory, Methodology, and Application. Kluwer Academic Publishers: London.

    Book  Google Scholar 

  • Cook WD, Kress M and Seiford LM (1996). Data envelopment analysis in the presence of both quantitative and qualitative factors. J Opl Res Soc 47: 945–953.

    Article  Google Scholar 

  • Ha I, Lee Y and Song J (2001). Hierarchical likelihood approach for frailty models. Biometrika 88: 233–243.

    Article  Google Scholar 

  • Kohers T, Huang M and Kohers M (2000). Market perception of efficiency in bank holding company mergers: the roles of the DEA and SFA models in capturing merger potential. Revi Financial Econom 9: 101–120.

    Article  Google Scholar 

  • Lee Y and Nelder J (1996). Hierarchical generalized linear models. J Roy Stat Soc B 58: 619–673.

    Google Scholar 

  • Lee Y and Nelder J (2001). Hierarchical generalized linear models: A synthesis of generalized linear models, random-effect models and structured dispersions. Biometrika 88: 987–1006.

    Article  Google Scholar 

  • Lovell CAK and Morey RC (1991). The Allocation of Consumer Incentives to Meet Simultaneous Sales Quotas—an Application to United-States-Army Recruiting. Mngt Sci 37: 350–367.

    Article  Google Scholar 

  • Seiford LM and Thrall RM (1990). Recent development in DEA: the mathematical programming approach to frontier analysis. J Econom 46: 7–38.

    Article  Google Scholar 

  • SAS Institute (1998). SAS/STAT User's Guide 6.03. SAS Institute, Cary, NC.

  • Sengupta JK (1995). Dynamics of Data Envelopment Analysis: Theory of Systems Efficiency. Kluwer Academic Publishers: London.

    Book  Google Scholar 

  • Sohn SY (1996a). Empirical Bayesian analysis for traffic intensity: M/M/1 queues with covariates. Queueing Systems 22: 383–401.

    Article  Google Scholar 

  • Sohn SY (1996b). Statistical analysis of environmental effects on TOW missile stockpile deterioration. IIE Trans 28: 995–1002.

    Article  Google Scholar 

  • Sohn SY (1996c). Random effects meta analysis of military recruiting. OMEGA 24: 141–151.

    Article  Google Scholar 

  • Sohn SY (1996d). Growth curve analysis applied to ammunition deterioration. J Qual Technol 27 (4): 71–80.

    Google Scholar 

  • Sohn SY (1997). Bayesian dynamic forecasting for attribute reliability. Comput Industr Engi 33: 741–744.

    Article  Google Scholar 

  • Sohn SY (1999). Robust parameter design for integrated circuit fabrication procedure with respect to categorical characteristic. Reliability Eng System Safety 66: 253–260.

    Article  Google Scholar 

  • Sohn SY (2000). Multivariate meta analysis with potentially correlated marketing study results. Naval Res Logistics 47: 500–510.

    Article  Google Scholar 

  • Sohn SY (2002). Robust design of server capability in M/M/1 queues with both partly random arrival and service rates. Comput Opns Res 29: 433–440.

    Article  Google Scholar 

  • Sohn SY and Park CJ (1998). Random effects linear models for both process mean and variance. J Qual Technol 30: 33–39.

    Google Scholar 

  • Sohn SY and Moon TH (2003). Structural equation model for predicting technology commercialization success index. Technol Forecasting Social Change 5553: 1–15.

    Google Scholar 

  • West M and Harrison J (1989). Bayesian Forecasting and Dynamic Models. Springer-Verlag: New York.

    Book  Google Scholar 

Download references

Acknowledgements

This work was supported by the Korea Research Foundation Grant (KRF-2003-041-D00612).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S Y Sohn.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sohn, S., Choi, H. Random effects logistic regression model for data envelopment analysis with correlated decision making units. J Oper Res Soc 57, 552–560 (2006). https://doi.org/10.1057/palgrave.jors.2602026

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1057/palgrave.jors.2602026

Keywords

Navigation