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Non-Linearity in the Canadian and US Labour Markets: Univariate and Multivariate Evidence from A Battery of Tests

  • T. Panagiotidis
  • G. Pelloni

The non-linearity of macroeconomic processes is becoming an increasingly important issue both at theoretical and empirical level. This trend holds for labour market variables as well. Reallocation theory of unemployment relies on non-linearities. At the same time there is mounting empirical evidence of business cycles asymmetries. Thus the assumption of linearity /non-linearity becomes crucial for the corroboration of labour market theories. This paper turns on the microscope on the assumption of linearity and investigates the presence of asymmetries on aggregate and disaggregate labour market variables. The assumption of linearity is tested using five statistical tests for the US and Canadian unemployment rates, growth rates of the employment sectoral shares of construction, finance, manufacturing and trade sectors. An AR(p) model was used to remove any linear structure from the series. Evidence of non-linearity is found for the sectoral shares with all five statistical tests in the US case but not in the aggregate level. The results for Canada are not clear-cut. Evidence of unspecified non-linearity is found in the unemployment rate and in the sectoral shares. Overall important asymmetries are found in disaggregated labour market variables in the univariate setting. The linearity hypothesis was also examined in a multivariate framework. Evidence is provided that important asymmetries exist and a linear VAR cannot capture the dynamics of employment reallocation.

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Paper provided by Dipartimento Scienze Economiche, Universita' di Bologna in its series Working Papers with number 506.

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Date of creation: 2004
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Handle: RePEc:bol:bodewp:506
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  1. Pelloni, Gianluigi & Panagiotidis, Theodore, 2003. "Macroeconomic Effects of Reallocation Shock: A Generalished Impulse Response Function Analysis for Three European Countries," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 18, pages 794-816.
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  6. William Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan & Mark J. Jensen, 2012. "A Single-Blind Controlled Competition Among Tests For Nonlinearity And Chaos," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 201219, University of Kansas, Department of Economics, revised Sep 2012.
  7. Hinich , Melvin J. & Rothman, Philip, 1998. "Frequency-Domain Test Of Time Reversibility," Macroeconomic Dynamics, Cambridge University Press, vol. 2(01), pages 72-88, March.
  8. Barnett, William A. & Serletis, Apostolos, 2000. "Martingales, nonlinearity, and chaos," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 703-724, June.
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  18. repec:cup:macdyn:v:2:y:1998:i:1:p:72-88 is not listed on IDEAS
  19. Steven J. Davis & John Haltiwanger, 1996. "On the Driving Forces Behind Cyclical Movement, in Employment and Job Reallocation," NBER Working Papers 5775, National Bureau of Economic Research, Inc.
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  22. Giovanni Gallipoli & Gianluigi Pelloni, 2008. "Aggregate Shocks vs Reallocation Shocks: an Appraisal of the Applied Literature," Working Paper Series 27-08, The Rimini Centre for Economic Analysis, revised Jan 2008.
  23. Panagiotidis, Theodore & Pelloni, Gianluigi, 2003. "Testing for non-linearity in labour markets: the case of Germany and the UK," Journal of Policy Modeling, Elsevier, vol. 25(3), pages 275-286, April.
  24. Michael P. Clements & Hans-Martin Krolzig, 1998. "A comparison of the forecast performance of Markov-switching and threshold autoregressive models of US GNP," Econometrics Journal, Royal Economic Society, vol. 1(Conferenc), pages C47-C75.
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