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Testing for complementarity and substitutability in case of multiple practices

Listed author(s):
  • Lokshin Boris
  • Carree Martin
  • Belderbos René

    (METEOR)

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.

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File URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:e5a5e620-6ce9-4907-b897-a0c897d33207/datastreams/ASSET1/content
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Paper provided by Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR) in its series Research Memorandum with number 002.

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Date of creation: 2004
Handle: RePEc:unm:umamet:2004002
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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. 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.
  4. 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.
  5. 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.
  6. Wolak, Frank A., 1989. "Testing inequality constraints in linear econometric models," Journal of Econometrics, Elsevier, vol. 41(2), pages 205-235, June.
  7. 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.
  8. 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.
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