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Testing for complementarity and substitutability in case of multiple practices

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  • Lokshin Boris
  • Carree Martin
  • Belderbos René

    (METEOR)

Abstract

A number of recent empirical studies of firm-level productivity (growth) have been concerned with establishing potential complementarity between multiple organizational design practices. These papers have drawn conclusions on basis of the effect of the interaction term between each possible pair of practices. In this paper we show that this approach may lead to misleading results in case more than two practices are considered. We develop a proper testing procedure for complementarity and substitutability in case there are multiple organizational practices that affect output. The testing methodology is illustrated by empirical examples of three and four innovation practices affecting productivity. The testing framework can easily be applied to test for supermodularity.

Suggested Citation

  • Lokshin Boris & Carree Martin & Belderbos René, 2004. "Testing for complementarity and substitutability in case of multiple practices," Research Memorandum 002, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  • Handle: RePEc:unm:umamet:2004002
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    References listed on IDEAS

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    1. Mohnen, Pierre & Roller, Lars-Hendrik, 2005. "Complementarities in innovation policy," European Economic Review, Elsevier, vol. 49(6), pages 1431-1450, August.
    2. Susan Athey & Scott Stern, 2002. "The Impact of Information Technology on Emergency Health Care Outcomes," RAND Journal of Economics, The RAND Corporation, vol. 33(3), pages 399-432, Autumn.
    3. Kodde, David A & Palm, Franz C, 1986. "Wald Criteria for Jointly Testing Equality and Inequality Restriction s," Econometrica, Econometric Society, vol. 54(5), pages 1243-1248, September.
    4. Susan Athey & Scott Stern, 1998. "An Empirical Framework for Testing Theories About Complimentarity in Organizational Design," NBER Working Papers 6600, National Bureau of Economic Research, Inc.
    5. Arora, Ashish & Gambardella, Alfonso, 1990. "Complementarity and External Linkages: The Strategies of the Large Firms in Biotechnology," Journal of Industrial Economics, Wiley Blackwell, vol. 38(4), pages 361-379, June.
    6. Wolak, Frank A, 1991. "The Local Nature of Hypothesis Tests Involving Inequality Constraints in Nonlinear Models," Econometrica, Econometric Society, vol. 59(4), pages 981-995, July.
    7. Hajivassiliou, Vassilis & McFadden, Daniel & Ruud, Paul, 1996. "Simulation of multivariate normal rectangle probabilities and their derivatives theoretical and computational results," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 85-134.
    8. Wolak, Frank A., 1989. "Testing inequality constraints in linear econometric models," Journal of Econometrics, Elsevier, vol. 41(2), pages 205-235, June.
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    Cited by:

    1. Susanna Mancinelli & Massimiliano Mazzanti, 2009. "Innovation, networking and complementarity: evidence on SME performances for a local economic system in North-Eastern Italy," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 43(3), pages 567-597, September.
    2. Paola Giuri & Salvatore Torrisi & Natalia Zinovyeva, 2005. "ICT, Skills and Organisational Change: Evidence from a Panel of Italian Manufacturing Firms," LEM Papers Series 2005/11, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    3. Grimpe, Christoph & Hussinger, Katrin, 2008. "Formal and Informal Technology Transfer from Academia to Industry: Complementarity Effects and Innovation Performance," ZEW Discussion Papers 08-080, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    4. René Belderbos & Martin Carree & Boris Lokshin, 2006. "Complementarity in R&D Cooperation Strategies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 28(4), pages 401-426, June.
    5. Massimiliano Mazzanti & Susanna Mancinelli, 2007. "SME Performance, Innovation and Networking Evidence on Complementarities for a Local Economic System," Working Papers 2007.50, Fondazione Eni Enrico Mattei.

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    industrial organization ;

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