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Comparing Malmquist and Hicks-Moorsteen productivity indices : exploring the impact of unbalanced vs. balanced panel data

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  • K. Kerstens

    (LEM - Lille - Economie et Management - Université de Lille, Sciences et Technologies - CNRS - Centre National de la Recherche Scientifique)

  • I. van de Woestyne

Abstract

We explore the effect of balancing unbalanced panel data when estimating primal productivity indices using non-parametric frontier estimators. First, we list a series of pseudo-solutions aimed at making an unbalanced panel balanced. Then, we discuss some intermediate solutions (e.g., balancing 2-years by 2years). Furthermore, we link this problem with a variety of literatures on infeasibilities, statistical inference of non-parametric frontier estimators, and the index theory literature focusing on the dynamics of entry and exit in industries. We then empirically illustrate these issues comparing both Malmquist and Hicks–Moorsteen productivity indices on two data sets. In particular, we test for the differences in distribution when comparing balanced and unbalanced results for a given index and when comparing Malmquist and Hicks–Moorsteen productivity indices for a given type of data set. The latter tests are crucial in answering the question to which extent the Malmquist index can approximate the Hicks–Moorsteen index that has a Total Factor Productivity (TFP) interpretation. Finally, we draw up a list of remaining issues that could benefit from further exploration.
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  • K. Kerstens & I. van de Woestyne, 2014. "Comparing Malmquist and Hicks-Moorsteen productivity indices : exploring the impact of unbalanced vs. balanced panel data," Post-Print hal-00907943, HAL.
    • Handle: RePEc:hal:journl:hal-00907943
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    as
    1. Cummins, J. David & Rubio-Misas, Maria, 2006. "Deregulation, Consolidation, and Efficiency: Evidence from the Spanish Insurance Industry," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(2), pages 323-355, March.
    2. Christopher J. O'Donnell, 2010. "Measuring and decomposing agricultural productivity and profitability change ," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 54(4), pages 527-560, October.
    3. Giraleas, Dimitris & Emrouznejad, Ali & Thanassoulis, Emmanuel, 2012. "Productivity change using growth accounting and frontier-based approaches – Evidence from a Monte Carlo analysis," European Journal of Operational Research, Elsevier, vol. 222(3), pages 673-683.
    4. Hitesh Arora & Padmasai Arora, 2013. "Measuring and decomposing productivity change using Hicks-Moorsteen index numbers: evidence from Indian banks," International Journal of Productivity and Quality Management, Inderscience Enterprises Ltd, vol. 11(1), pages 73-95.
    5. Odeck, James, 2008. "How efficient and productive are road toll companies?: Evidence from Norway," Transport Policy, Elsevier, vol. 15(4), pages 232-241, July.
    6. Drake, Leigh & Simper, Richard, 2002. "Economies of scale in UK building societies: A re-appraisal using an entry/exit model," Journal of Banking & Finance, Elsevier, vol. 26(12), pages 2365-2382.
    7. Yang, Hongliang & Pollitt, Michael, 2009. "Incorporating both undesirable outputs and uncontrollable variables into DEA: The performance of Chinese coal-fired power plants," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1095-1105, September.
    8. Walter Briec & Kristiaan Kerstens & Philippe Venden Eeckaut, 2004. "Non-convex Technologies and Cost Functions: Definitions, Duality and Nonparametric Tests of Convexity," Journal of Economics, Springer, vol. 81(2), pages 155-192, February.
    9. Scott E. Atkinson & Jeffrey H. Dorfman, 2009. "Feasible estimation of firm-specific allocative inefficiency through Bayesian numerical methods," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(4), pages 675-697.
    10. Frees,Edward W., 2004. "Longitudinal and Panel Data," Cambridge Books, Cambridge University Press, number 9780521828284, September.
    11. Christopher J. O’Donnell, 2016. "Nonparametric Estimates of the Components of Productivity and Profitability Change in U.S. Agriculture," International Series in Operations Research & Management Science, in: Joe Zhu (ed.), Data Envelopment Analysis, chapter 0, pages 515-541, Springer.
    12. Shawna Grosskopf, 2003. "Some Remarks on Productivity and its Decompositions," Journal of Productivity Analysis, Springer, vol. 20(3), pages 459-474, November.
    13. Laurent Cavaignac & Walter Briec, 2007. "Comment: Testing For Inverse Homotheticity: A Nonparametric Approach," The Japanese Economic Review, Japanese Economic Association, vol. 58(4), pages 524-531, December.
    14. C. Lovell, 2003. "The Decomposition of Malmquist Productivity Indexes," Journal of Productivity Analysis, Springer, vol. 20(3), pages 437-458, November.
    15. Lucia Foster & John Haltiwanger & Chad Syverson, 2008. "Reallocation, Firm Turnover, and Efficiency: Selection on Productivity or Profitability?," American Economic Review, American Economic Association, vol. 98(1), pages 394-425, March.
    16. Carlos Barros & António Gomes de Menezes & Nicolas Peypoch & Bernardin Solonandrasana & José Vieira, 2008. "An analysis of hospital efficiency and productivity growth using the Luenberger indicator," Health Care Management Science, Springer, vol. 11(4), pages 373-381, December.
    17. Tsekouras, Kostas D. & Pantzios, Christos J. & Karagiannis, Giannis, 2004. "Malmquist productivity index estimation with zero-value variables: The case of Greek prefectural training councils," International Journal of Production Economics, Elsevier, vol. 89(1), pages 95-106, May.
    18. W. Briec & K. Kerstens, 2009. "Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 55-73, April.
    19. Bruce Hollingsworth & John Wildman, 2003. "The efficiency of health production: re‐estimating the WHO panel data using parametric and non‐parametric approaches to provide additional information," Health Economics, John Wiley & Sons, Ltd., vol. 12(6), pages 493-504, June.
    20. repec:bla:scandj:v:98:y:1996:i:2:p:303-13 is not listed on IDEAS
    21. Epure, Mircea & Kerstens, Kristiaan & Prior, Diego, 2011. "Technology-based total factor productivity and benchmarking: New proposals and an application," Omega, Elsevier, vol. 39(6), pages 608-619, December.
    22. Ouellette, Pierre & Vierstraete, Valerie, 2004. "Technological change and efficiency in the presence of quasi-fixed inputs: A DEA application to the hospital sector," European Journal of Operational Research, Elsevier, vol. 154(3), pages 755-763, May.
    23. Lozano-Vivas, Ana & Humphrey, David B., 2002. "Bias in Malmquist index and cost function productivity measurement in banking," International Journal of Production Economics, Elsevier, vol. 76(2), pages 177-188, March.
    24. Amir Arjomandi & Charles Harvie & Abbas Valadkhani, 2012. "An empirical analysis of Iran's banking performance," Studies in Economics and Finance, Emerald Group Publishing Limited, vol. 29(4), pages 287-300, September.
    25. Nemoto, Jiro & Goto, Mika, 2005. "Productivity, efficiency, scale economies and technical change: A new decomposition analysis of TFP applied to the Japanese prefectures," Journal of the Japanese and International Economies, Elsevier, vol. 19(4), pages 617-634, December.
    26. Walter Briec & Kristiaan Kerstens, 2004. "A Luenberger-Hicks-Moorsteen productivity indicator: its relation to the Hicks-Moorsteen productivity index and the Luenberger productivity indicator," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(4), pages 925-939, May.
    27. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
    28. Ivaldi, Marc, et al, 1996. "Comparing Fourier and Translog Specifications of Multiproduct Technology: Evidence from an Incomplete Panel of French Farmers," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 649-667, Nov.-Dec..
    29. Samuelson, Paul A & Swamy, S, 1974. "Invariant Economic Index Numbers and Canonical Duality: Survey and Synthesis," American Economic Review, American Economic Association, vol. 64(4), pages 566-593, September.
    30. Zaim, Osman, 2004. "Measuring environmental performance of state manufacturing through changes in pollution intensities: a DEA framework," Ecological Economics, Elsevier, vol. 48(1), pages 37-47, January.
    31. Charles R. Hulten & Edwin R. Dean & Michael J. Harper, 2001. "New Developments in Productivity Analysis," NBER Books, National Bureau of Economic Research, Inc, number hult01-1.
    32. Matthews, Kent & Zhang, Nina (Xu), 2010. "Bank productivity in China 1997-2007: Measurement and convergence," China Economic Review, Elsevier, vol. 21(4), pages 617-628, December.
    33. Hoang, Viet-Ngu, 2011. "Measuring and decomposing changes in agricultural productivity, nitrogen use efficiency and cumulative exergy efficiency: Application to OECD agriculture," Ecological Modelling, Elsevier, vol. 222(1), pages 164-175.
    34. Frees,Edward W., 2004. "Longitudinal and Panel Data," Cambridge Books, Cambridge University Press, number 9780521535380, September.
    35. Simar, Leopold & Wilson, Paul W., 2002. "Non-parametric tests of returns to scale," European Journal of Operational Research, Elsevier, vol. 139(1), pages 115-132, May.
    36. Tortosa-Ausina, Emili & Grifell-Tatje, Emili & Armero, Carmen & Conesa, David, 2008. "Sensitivity analysis of efficiency and Malmquist productivity indices: An application to Spanish savings banks," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1062-1084, February.
    37. Hitesh Arora & Padmasai Arora, 2012. "Bank productivity measurement using Hicks-Moorsteen indices: evidence from Indian public sector banks," International Journal of Business Performance Management, Inderscience Enterprises Ltd, vol. 13(3/4), pages 386-407.
    38. Walter Briec & Kristiaan Kerstens, 2011. "The Hicks–Moorsteen Productivity Index Satisfies The Determinateness Axiom," Manchester School, University of Manchester, vol. 79(4), pages 765-775, July.
    39. Badi Baltagi & Seuck Song, 2006. "Unbalanced panel data: A survey," Statistical Papers, Springer, vol. 47(4), pages 493-523, October.
    40. Walter Briec & K. Kerstens, 2009. "Infeasibilities and directional distance functions: with application to the determinateness of the luenberger productivity indicator," Post-Print hal-00372560, HAL.
    41. David C. Wheelock & Paul W. Wilson, 2000. "Why do Banks Disappear? The Determinants of U.S. Bank Failures and Acquisitions," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 127-138, February.
    42. Nishimizu, Mieko & Page, John M, Jr, 1982. "Total Factor Productivity Growth, Technological Progress and Technical Efficiency Change: Dimensions of Productivity Change in Yugoslavia, 1965-78," Economic Journal, Royal Economic Society, vol. 92(368), pages 920-936, December.
    43. Jiro Nemoto & Mika Goto, 2005. "Productivity, Efficiency, Scale Economies and Technical Change: A New Decomposition Analysis," NBER Working Papers 11373, National Bureau of Economic Research, Inc.
    44. Sturm, Jan-Egbert & Williams, Barry, 2004. "Foreign bank entry, deregulation and bank efficiency: Lessons from the Australian experience," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1775-1799, July.
    45. Charles R. Hulten, 2001. "Total Factor Productivity: A Short Biography," NBER Chapters, in: New Developments in Productivity Analysis, pages 1-54, National Bureau of Economic Research, Inc.
    46. Atkinson, Scott E & Cornwell, Christopher & Honerkamp, Olaf, 2003. "Measuring and Decomposing Productivity Change: Stochastic Distance Function Estimation versus Data Envelopment Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(2), pages 284-294, April.
    47. Johannes Van Biesebroeck, 2007. "Robustness Of Productivity Estimates," Journal of Industrial Economics, Wiley Blackwell, vol. 55(3), pages 529-569, September.
    48. Fare, Rolf & Grosskopf, Shawna & Roos, Pontus, 1996. "On two definitions of productivity," Economics Letters, Elsevier, vol. 53(3), pages 269-274, December.
    49. Griliches, Zvi & Regev, Haim, 1995. "Firm productivity in Israeli industry 1979-1988," Journal of Econometrics, Elsevier, vol. 65(1), pages 175-203, January.
    50. Mette Asmild & Fai Tam, 2007. "Estimating global frontier shifts and global Malmquist indices," Journal of Productivity Analysis, Springer, vol. 27(2), pages 137-148, April.
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