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A Test for Multimodality of Regression Derivatives with an Application to Nonparametric Growth Regressions

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  • Henderson, Daniel J.

Abstract

This paper presents a method to test for multimodality of an estimated kernel density of parameter estimates from a local-linear least-squares regression derivative. The procedure is laid out in seven simple steps and a suggestion for implementation is proposed. A Monte Carlo exercise is used to examine the finite sample properties of the test along with those from a calibrated version of it which corrects for the conservative nature of Silverman-type tests. The test is included in a study on nonparametric growth regressions. The results show that in the estimation of unconditional β-convergence, the distribution of the parameter estimates is multimodal with one mode in the negative region (primarily OECD economies) and possibly two modes in the positive region (primarily non-OECD economies) of the parameter estimates. The results for conditional β-convergence show that the density is predominantly negative and unimodal. Finally, the application attempts to determine why particular observations posess positive marginal effects on initial income in both the unconditional and conditional frameworks.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 8768.

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Date of creation: 18 Apr 2008
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Handle: RePEc:pra:mprapa:8768

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Keywords: Nonparametric Kernel; Convergence; Modality Tests;

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  1. Kelley, Allen C, 1988. "Economic Consequences of Population Change in the Third World," Journal of Economic Literature, American Economic Association, vol. 26(4), pages 1685-1728, December.
  2. Jonathan Temple, 1999. "The New Growth Evidence," Journal of Economic Literature, American Economic Association, vol. 37(1), pages 112-156, March.
  3. Durlauf, Steven N. & Quah, Danny T., 1999. "The new empirics of economic growth," Handbook of Macroeconomics, Elsevier, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 4, pages 235-308 Elsevier.
  4. Daniel J. Henderson & R. Robert Russell, 2005. "Human Capital And Convergence: A Production-Frontier Approach ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(4), pages 1167-1205, November.
  5. Quah, Danny, 1993. " Galton's Fallacy and Tests of the Convergence Hypothesis," Scandinavian Journal of Economics, Wiley Blackwell, vol. 95(4), pages 427-43, December.
  6. Bianchi, Marco, 1997. "Testing for Convergence: Evidence from Non-parametric Multimodality Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 12(4), pages 393-409, July-Aug..
  7. Ketteni, Elena & Mamuneas, Theofanis P. & Stengos, Thanasis, 2007. "Nonlinearities in economic growth: A semiparametric approach applied to information technology data," Journal of Macroeconomics, Elsevier, vol. 29(3), pages 555-568, September.
  8. Liu, Zhenjuan & Stengos, Thanasis, 1999. "Non-linearities in Cross-Country Growth Regressions: A Semiparametric Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 14(5), pages 527-38, Sept.-Oct.
  9. Sala-i-Martin, Xavier, 1995. "The Classical Approach to Convergence Analysis," CEPR Discussion Papers 1254, C.E.P.R. Discussion Papers.
  10. Kalaitzidakis, P. & Mamuneas, T.P. & Savvides, A. & Stengos, T., 2000. "Measures of Human Capital and Nonlinearities in Economic Growth," Working Papers, University of Guelph, Department of Economics and Finance 2000-5, University of Guelph, Department of Economics and Finance.
  11. Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, volume 1, number 8355.
  12. Andrea Vaona & Stefano Schiavo, 2006. "Nonparametric and Semiparametric Evidence on the Long-Run Effects of Inflation on Growth," Kiel Working Papers 1286, Kiel Institute for the World Economy.
  13. Cheng Hsiao & Qi Li & Jeff Racine, 2006. "A Consistent Model Specification Test with Mixed Discrete and Continuous Data," IEPR Working Papers 06.47, Institute of Economic Policy Research (IEPR).
  14. Daniel J. Henderson & Christopher F. Parmeter & R. Robert Russell, 2008. "Modes, weighted modes, and calibrated modes: evidence of clustering using modality tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 23(5), pages 607-638.
  15. Galor, Oded, 1996. "Convergence? Inferences from Theoretical Models," Economic Journal, Royal Economic Society, Royal Economic Society, vol. 106(437), pages 1056-69, July.
  16. Racine, Jeff & Li, Qi, 2004. "Nonparametric estimation of regression functions with both categorical and continuous data," Journal of Econometrics, Elsevier, vol. 119(1), pages 99-130, March.
  17. Ozkan Eren & Daniel J. Henderson, 2008. "The impact of homework on student achievement," Econometrics Journal, Royal Economic Society, vol. 11(2), pages 326-348, 07.
  18. Guerre, E. & Perrigne, I. & Vuong, Q., 1995. "Nonparametric Estimation of First-Price Auctions," Papers, Southern California - Department of Economics 9504, Southern California - Department of Economics.
  19. Johnson, Paul, 2003. "A Continuous State Space Approach to “Convergence by Parts”," Vassar College Department of Economics Working Paper Series 54, Vassar College Department of Economics.
  20. Maria Grazia Pittau, 2005. "Fitting Regional Income Distributions in the European Union," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(2), pages 135-161, 04.
  21. Peter Hall & Qi Li & Jeffrey S. Racine, 2007. "Nonparametric Estimation of Regression Functions in the Presence of Irrelevant Regressors," The Review of Economics and Statistics, MIT Press, vol. 89(4), pages 784-789, November.
  22. Mamuneas, T.P. & Savvides, A. & Stengos, T., 2002. "Economic Development and the Return to Human Capital: A Smooth Coefficient Semiparametric Approach," Working Papers, University of Guelph, Department of Economics and Finance 2002-14, University of Guelph, Department of Economics and Finance.
  23. Durlauf, Steven N. & Kourtellos, Andros & Minkin, Artur, 2001. "The local Solow growth model," European Economic Review, Elsevier, vol. 45(4-6), pages 928-940, May.
  24. N. Gregory Mankiw & David Romer & David N. Weil, 1990. "A Contribution to the Empirics of Economic Growth," NBER Working Papers 3541, National Bureau of Economic Research, Inc.
  25. Islam, Nazrul, 1995. "Growth Empirics: A Panel Data Approach," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 110(4), pages 1127-70, November.
  26. Robert J. Barro & Jong-Wha Lee, 2000. "International Data on Educational Attainment: Updates and Implications," CID Working Papers, Center for International Development at Harvard University 42, Center for International Development at Harvard University.
  27. Quah, Danny, 1993. "Empirical cross-section dynamics in economic growth," European Economic Review, Elsevier, vol. 37(2-3), pages 426-434, April.
  28. L. Wade, 1988. "Review," Public Choice, Springer, vol. 58(1), pages 99-100, July.
  29. Paapaa, Richard & van Dijk, Herman K., 1998. "Distribution and mobility of wealth of nations," European Economic Review, Elsevier, vol. 42(7), pages 1269-1293, July.
  30. Charles I. Jones, 1997. "On the Evolution of the World Income Distribution," Journal of Economic Perspectives, American Economic Association, vol. 11(3), pages 19-36, Summer.
  31. Quah, Danny T, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," Economic Journal, Royal Economic Society, Royal Economic Society, vol. 106(437), pages 1045-55, July.
  32. Durlauf, Steven N & Johnson, Paul A, 1995. "Multiple Regimes and Cross-Country Growth Behaviour," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 10(4), pages 365-84, Oct.-Dec..
  33. Robert J. Barro, 1989. "Economic Growth in a Cross Section of Countries," NBER Working Papers 3120, National Bureau of Economic Research, Inc.
  34. Winford H. Masanjala & Chris Papageorgiou, 2004. "The Solow model with CES technology: nonlinearities and parameter heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 19(2), pages 171-201.
  35. Maasoumi, Esfandiar & Racine, Jeff & Stengos, Thanasis, 2007. "Growth and convergence: A profile of distribution dynamics and mobility," Journal of Econometrics, Elsevier, vol. 136(2), pages 483-508, February.
  36. Fiaschi, Davide & Lavezzi, Andrea Mario, 2003. " Distribution Dynamics and Nonlinear Growth," Journal of Economic Growth, Springer, vol. 8(4), pages 379-401, December.
  37. Roberto Zelli & Maria Grazia Pittau, 2006. "Empirical evidence of income dynamics across EU regions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 21(5), pages 605-628.
  38. Summers, Robert & Heston, Alan, 1988. "A New Set of International Comparisons of Real Product and Price Levels Estimates for 130 Countries, 1950-1985," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 34(1), pages 1-25, March.
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Cited by:
  1. Delgado, Michael S. & Henderson, Daniel J. & Parmeter, Christopher F., 2012. "Does Education Matter for Economic Growth?," IZA Discussion Papers 7089, Institute for the Study of Labor (IZA).
  2. Henderson, Daniel J. & Maasoumi, Esfandiar, 2012. "Searching for Rehabilitation in Nonparametric Regression Models with Exogenous Treatment Assignment," IZA Discussion Papers 6874, Institute for the Study of Labor (IZA).

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