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Returns to scope: a metric for production synergies demonstrated for hospital production

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  • Brandon Pope
  • Andrew Johnson

Abstract

Knowledge of the production function’s scope properties can provide insights for firms choosing their operating strategy, policy-makers considering industry structure, and analysts determining appropriate tools. We introduce a new property, returns to scope, which is distinct from scale properties and does not rely on price information. Based on desirable characteristics of an estimator of returns to scope, we propose two methods for assessment. We present examples using simulated data and hospital production data from the 2008 National Inpatient Sample of the Agency for Healthcare Research and Quality’s Healthcare Cost and Utilization Project. We find that hospitals experience negative returns to scope (productivity losses) from the joint production of minor and major diagnostic procedures. Based upon our results we conclude that the new returns to scope property allows sharper insights than classic economies of scope approaches. Copyright Springer Science+Business Media New York 2013

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  • Brandon Pope & Andrew Johnson, 2013. "Returns to scope: a metric for production synergies demonstrated for hospital production," Journal of Productivity Analysis, Springer, vol. 40(2), pages 239-250, October.
  • Handle: RePEc:kap:jproda:v:40:y:2013:i:2:p:239-250
    DOI: 10.1007/s11123-012-0327-6
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    1. Evan Rawley & Timothy S. Simcoe, 2010. "Diversification, Diseconomies of Scope, and Vertical Contracting: Evidence from the Taxicab Industry," Management Science, INFORMS, vol. 56(9), pages 1534-1550, September.
    2. Gary S. Becker & Kevin M. Murphy, 1994. "The Division of Labor, Coordination Costs, and Knowledge," NBER Chapters, in: Human Capital: A Theoretical and Empirical Analysis with Special Reference to Education, Third Edition, pages 299-322, National Bureau of Economic Research, Inc.
    3. Evans, David S & Heckman, James J, 1984. "A Test for Subadditivity of the Cost Function with an Application to the Bell System," American Economic Review, American Economic Association, vol. 74(4), pages 615-623, September.
    4. Kuosmanen, Timo, 2001. "DEA with efficiency classification preserving conditional convexity," European Journal of Operational Research, Elsevier, vol. 132(2), pages 326-342, July.
    5. Christian Growitsch & Heike Wetzel, 2009. "Testing for Economies of Scope in European Railways: An Efficiency Analysis," Journal of Transport Economics and Policy, University of Bath, vol. 43(1), pages 1-24, January.
    6. Fuss, Melvyn & McFadden, Daniel (ed.), 1978. "Production Economics: A Dual Approach to Theory and Applications," Elsevier Monographs, Elsevier, edition 1, number 9780444850133.
    7. Bougnol, M.-L. & Dulá, J.H., 2009. "Anchor points in DEA," European Journal of Operational Research, Elsevier, vol. 192(2), pages 668-676, January.
    8. Panzar, John C & Willig, Robert D, 1981. "Economies of Scope," American Economic Review, American Economic Association, vol. 71(2), pages 268-272, May.
    9. David C. Wheelock & Paul W. Wilson, 2003. "Robust nonparametric estimation of efficiency and technical change in U.S. commercial banking," Working Papers 2003-037, Federal Reserve Bank of St. Louis.
    10. Rajiv D. Banker, 1993. "Maximum Likelihood, Consistency and Data Envelopment Analysis: A Statistical Foundation," Management Science, INFORMS, vol. 39(10), pages 1265-1273, October.
    11. Rebecca Henderson & Iain Cockburn, 1996. "Scale, Scope, and Spillovers: The Determinants of Research Productivity in Drug Discovery," RAND Journal of Economics, The RAND Corporation, vol. 27(1), pages 32-59, Spring.
    12. Ferrier, Gary D. & Grosskopf, Shawna & Hayes, Kathy J. & Yaisawarng, Suthathip, 1993. "Economies of diversification in the banking industry : A frontier approach," Journal of Monetary Economics, Elsevier, vol. 31(2), pages 229-249, April.
    13. Gary D. Ferrier & Hervé Leleu & James Moises & Vivian Valdmanis, 2009. "The Size and Service Offering Efficiencies of U.S. Hospitals," Working Papers 2009-ECO-09, IESEG School of Management.
    14. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (II): Applications of the Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 2, number fuss1978a.
    15. V E Krivonozhko & O B Utkin & A V Volodin & I A Sablin & M Patrin, 2004. "Constructions of economic functions and calculations of marginal rates in DEA using parametric optimization methods," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(10), pages 1049-1058, October.
    16. Wolinsky, Asher, 1986. "The Nature of Competition and the Scope of Firms," Journal of Industrial Economics, Wiley Blackwell, vol. 34(3), pages 247-259, March.
    17. Chavas, Jean-Paul & Kim, Kwansoo, 2010. "Economies of diversification: A generalization and decomposition of economies of scope," International Journal of Production Economics, Elsevier, vol. 126(2), pages 229-235, August.
    18. Kristof Witte & Rui Marques, 2011. "Big and beautiful? On non-parametrically measuring scale economies in non-convex technologies," Journal of Productivity Analysis, Springer, vol. 35(3), pages 213-226, June.
    19. Berger, Allen N. & Hanweck, Gerald A. & Humphrey, David B., 1987. "Competitive viability in banking : Scale, scope, and product mix economies," Journal of Monetary Economics, Elsevier, vol. 20(3), pages 501-520, December.
    20. 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.
    21. Preyra, Colin & Pink, George, 2006. "Scale and scope efficiencies through hospital consolidations," Journal of Health Economics, Elsevier, vol. 25(6), pages 1049-1068, November.
    22. Indranil Bardhan & William Cooper & Subal Kumbhakar, 1998. "A Simulation Study of Joint Uses of Data Envelopment Analysis and Statistical Regressions for Production Function Estimation and Efficiency Evaluation," Journal of Productivity Analysis, Springer, vol. 9(3), pages 249-278, March.
    23. Baumol, William J, 1982. "Contestable Markets: An Uprising in the Theory of Industry Structure," American Economic Review, American Economic Association, vol. 72(1), pages 1-15, March.
    24. Wheelock, David C. & Wilson, Paul W., 2009. "Robust Nonparametric Quantile Estimation of Efficiency and Productivity Change in U.S. Commercial Banking, 1985–2004," Journal of Business & Economic Statistics, American Statistical Association, vol. 27(3), pages 354-368.
    25. Jeffrey T. Macher, 2006. "Technological Development and the Boundaries of the Firm: A Knowledge-Based Examination in Semiconductor Manufacturing," Management Science, INFORMS, vol. 52(6), pages 826-843, June.
    26. Ashish Arora & Alfonso Gambardella & Laura Magazzini & Fabio Pammolli, 2009. "A Breath of Fresh Air? Firm Type, Scale, Scope, and Selection Effects in Drug Development," Management Science, INFORMS, vol. 55(10), pages 1638-1653, October.
    27. Peter Bogetoft & Joseph M. Tama & Jørgen Tind, 2000. "Convex Input and Output Projections of Nonconvex Production Possibility Sets," Management Science, INFORMS, vol. 46(6), pages 858-869, June.
    28. Fuss, Melvyn & McFadden, Daniel, 1978. "Production Economics: A Dual Approach to Theory and Applications (I): The Theory of Production," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, volume 1, number fuss1978.
    29. Berger, Allen N. & Humphrey, David B., 1991. "The dominance of inefficiencies over scale and product mix economies in banking," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 117-148, August.
    30. Mike Smet, 2007. "Measuring performance in the presence of stochastic demand for hospital services: an analysis of Belgian general care hospitals," Journal of Productivity Analysis, Springer, vol. 27(1), pages 13-29, February.
    31. Dieter Gstach, 1998. "Another Approach to Data Envelopment Analysis in Noisy Environments: DEA+," Journal of Productivity Analysis, Springer, vol. 9(2), pages 161-176, March.
    32. Johnson, Andrew L. & McGinnis, Leon F., 2008. "Outlier detection in two-stage semiparametric DEA models," European Journal of Operational Research, Elsevier, vol. 187(2), pages 629-635, June.
    33. Korostelev, A. P. & Simar, L. & Tsybakov, A. B., 1995. "Estimation of monotone boundaries," LIDAM Reprints CORE 1178, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    34. Paul, Catherine J. Morrison & Nehring, Richard, 2005. "Product diversification, production systems, and economic performance in U.S. agricultural production," Journal of Econometrics, Elsevier, vol. 126(2), pages 525-548, June.
    35. G. Thomas Sav, 2004. "Higher education costs and scale and scope economies," Applied Economics, Taylor & Francis Journals, vol. 36(6), pages 607-614.
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    More about this item

    Keywords

    Returns to scope; Diversification; Hospital production; D24; I12;
    All these keywords.

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior

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