Efficiency Measurement Using a “True” Random Effects and Random Parameter Stochastic Frontier Models: An Application to Rural and Community Banks in Ghana


In this paper, we attempt to compare the results of stochastic frontier models that control for unobserved heterogeneity in the inefficiency model, and unobserved (parameter) heterogeneity in the production model respectively. We estimate a “true” random effect, and random parameter stochastic frontier models in a panel data framework. An application of these models is presented using data of rural and community banks in Ghana from 2006 to 2011. Our results show that the two models address the issue of unobserved heterogeneity, and therefore omitted unobserved heterogeneity in the production model may always show up in the estimated inefficiency.


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M. Danquah, A. Barimah and W. Ohemeng, "Efficiency Measurement Using a “True” Random Effects and Random Parameter Stochastic Frontier Models: An Application to Rural and Community Banks in Ghana," Modern Economy, Vol. 4 No. 12, 2013, pp. 864-870. doi: 10.4236/me.2013.412093.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] V. Sena, “The Frontier Approach to the Measurement of Productivity and Technical Efficiency,” Economic IssuesStoke on Trent, Vol. 8, 2003, pp. 71-98.
[2] L. R. Murillo-Zamorano, “Economic Efficiency and Frontier Techniques,” Journal of Economic Surveys, Vol. 18, No. 1, 2004, pp. 33-77.
[3] H. O. Fried, C. A. K. Lovell and S. S. Schmidt, “The Measurement of Productive Efficiency and Productivity Growth,” Oxford University Press, Oxford, 2008.
[4] W. H. Greene, “LIMDEP Version 9.0: Econometric Modeling Guide 1 and 2,” 2007.
[5] R. Kneller and P. A. Stevens, “Frontier Technology and Absorptive Capacity: Evidence from OECD Manufacturing Industries,” Oxford Bulletin of Economics and Statistics, Vol. 68, No. 1, 2006, pp. 1-21.
[6] M. Henry, R. Kneller and C. Milner, “Trade, Technology Transfer and National Efficiency in Developing Countries,” European Economic Review, Vol. 53, No. 2, 2009, pp. 237-254.
[7] K. G. Iyer, A. N. Rambaldi and K. K. Tang, “Efficiency Externalities of Trade and Alternative Forms of Foreign Investment in OECD Countries” Journal of Applied Econometrics, Vol. 23, No. 6, 2008, pp. 749-766.
[8] C. Mastromarco and S. Ghosh, “Foreign Capital, Human Capital, and Efficiency: A Stochastic Frontier Analysis for Developing Countries,” World Development, Vol. 37, No. 2, 2009, pp. 489-502.
[9] W. Greene, “Distinguishing between Heterogeneity and Inefficiency: Stochastic Frontier Analysis of the World Health Organization’s Panel Data on National Health Care Systems,” Health Economics, Vol. 13, No. 10, 2004, pp. 959-980. http://dx.doi.org/10.1002/hec.938
[10] W. Greene, “Reconsidering Heterogeneity in Panel Data Estimators of the Stochastic Frontier Model,” Journal of Econometrics, Vol. 126, No. 2, 2005, pp. 269-303.
[11] M. Filippini, N. Hrovatin and J. Zoric, “Cost Efficiency of Slovenian Water Distribution Utilities: An Application of Stochastic Frontier Methods,” Journal of Productivity Analysis, Vol. 29, No. 2, 2008, pp. 169-182.
[12] J. Carroll, C. Newman and F. Thorne, “A Comparison of Stochastic Frontier Approaches for Estimating Technical Inefficiency and Total Factor Productivity,” Applied Economics, Vol. 43, No. 27, 2011, pp. 4007-4019.
[13] L. Orea and S. C. Kumbhakar, “Efficiency Measurement Using a Latent Class Stochastic Frontier Model,” Empiriccal Economics, Vol. 29, No. 1, 2004, pp. 169-183.
[14] C. O’Donnell and W. Griffiths, “Estimating State Contingent Production Frontiers” Working Paper Number 911, University of Melbourne, 2004.
[15] ARB Apex Bank Limited, “Various Years. Annual Reports,” Accra, 2006-2012.
[16] D. Khankhoje and M. Sathye, “Efficiency of Rural Banks: The Case of India,” International Business Research, Vol. 1, No. 2, 2008, pp. 140-149.
[17] A. Bhattacharyya, C. Lovell and P. Sahay, “The Impact of Liberalization on the Productive Efficiency of Indian Commercial Banks,” European Journal of Operational Research, Vol. 98, No. 2, 1997, pp. 332-345.
[18] C. W. Jr. Sealey and J. T. Lindley, “Inputs, Outputs, and a Theory of Production and Cost at Depository Financial Institutions,” Journal of Finance, Vol. 32, No. 4, 1977, pp. 1251-1266.
[19] D. Aigner, C. Lovell and P. Schmidt, “Formulation and Estimation of Stochastic Frontier Production Function Models,” Journal of Econometrics, Vol. 6, No. 1, 1977, pp. 21-37.

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