Generalized Cointegration: A New Concept with an Application to Health Expenditure and Health Outcomes
AbstractWe propose a new generalization of the concept of cointegration that allows for the possibility that a set of variables are involved in an unknown nonlinear relationship. Although these variables may be unit-root non-stationary, there exists a nonlinear combination of them that takes account of such non-stationarity. We then introduce an estimation technique that allows us to test for the presence of this generalized cointegration in the absence of knowledge as to the true nonlinear functional form and the full set of regressors. We outline the basic stages of the technique and discuss how the issue of unit-root non-stationarity and cointegration affects each stage of the estimation procedure. We then apply this technique to the relationship between health expenditure and health outcomes, which is an important but controversial issue. A number of studies have found very little or no relationship between the level of health expenditure and outcomes. In econometric terms, if there is such a relationship then there should exist a cointegrating relationship between these two variables and possibly many others. The problem that arises is that we may be either unable to measure these other variables or that we do not know about them, in which case we may incorrectly find no relationship between health expenditures and outcomes. We then apply the concept of generalized cointegration; we obtain a highly significant relationship between health expenditure and health outcomes.
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Bibliographic InfoPaper provided by Department of Economics, University of Leicester in its series Discussion Papers in Economics with number 11/22.
Date of creation: Mar 2011
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Other versions of this item:
- Stephen Hall & P. Swamy & George Tavlas, 2012. "Generalized cointegration: a new concept with an application to health expenditure and health outcomes," Empirical Economics, Springer, vol. 42(2), pages 603-618, April.
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull Diffusion Processes
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-04-23 (All new papers)
- NEP-ECM-2011-04-23 (Econometrics)
- NEP-ETS-2011-04-23 (Econometric Time Series)
- NEP-HEA-2011-04-23 (Health Economics)
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- Robert E. Hall & Charles I. Jones, 2005.
"The value of life and the rise in health spending,"
Federal Reserve Bank of San Francisco.
- Katherine Baicker & Amitabh Chandra, 2004. "The Productivity of Physician Specialization: Evidence from the Medicare Program," American Economic Review, American Economic Association, vol. 94(2), pages 357-361, May.
- Charles I. Jones, 2005. "More life vs. more goods: explaining rising health expenditures," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, issue may27.
- Badi H. Baltagi & Francesco Moscone, 2010.
"Health Care Expenditure and Income in the OECD Reconsidered: Evidence from Panel Data,"
Center for Policy Research Working Papers
120, Center for Policy Research, Maxwell School, Syracuse University.
- Baltagi, Badi H. & Moscone, Francesco, 2010. "Health care expenditure and income in the OECD reconsidered: Evidence from panel data," Economic Modelling, Elsevier, vol. 27(4), pages 804-811, July.
- Badi H. Baltagi & Francesco Moscone, 2009. "Health Care Expenditure and Income in the OECD Reconsidered: Evidence from Panel Data," Discussion Papers in Economics 09/5, Department of Economics, University of Leicester.
- Baltagi, Badi H. & Moscone, Francesco, 2010. "Health Care Expenditure and Income in the OECD Reconsidered: Evidence from Panel Data," IZA Discussion Papers 4851, Institute for the Study of Labor (IZA).
- George S. Tavlas & P.A.V.B. Swamy, 2006.
"The New Keynesian Phillips Curve and Inflation Expectations: Re-Specification and Interpretation,"
34, Bank of Greece.
- P. Swamy & George Tavlas, 2007. "The New Keynesian Phillips Curve and Inflation Expectations: Re-Specification and Interpretation," Economic Theory, Springer, vol. 31(2), pages 293-306, May.
- P.A.V.B. Swamy & George S. Tavlas & Stephen G. Hall & George Hondroyiannis, 2008.
"Estimation of Parameters in the Presence of Model misspecification and Measurement Error,"
Discussion Papers in Economics
08/27, Department of Economics, University of Leicester.
- Swamy P. A. V. B. & Tavlas George S & Hall Stephen G. F. & Hondroyiannis George, 2010. "Estimation of Parameters in the Presence of Model Misspecification and Measurement Error," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(3), pages 1-35, May.
- Swamy, P. A. V. B. & Tinsley, P. A., 1980.
"Linear prediction and estimation methods for regression models with stationary stochastic coefficients,"
Journal of Econometrics,
Elsevier, vol. 12(2), pages 103-142, February.
- P.A.V.B. Swamy & P.A. Tinsley, 1976. "Linear prediction and estimation methods for regression models with stationary stochastic coefficients," Special Studies Papers 78, Board of Governors of the Federal Reserve System (U.S.).
- Swamy, P.A.V.B. & Yaghi, Wisam & Mehta, Jatinder S. & Chang, I-Lok, 2007. "Empirical best linear unbiased prediction in misspecified and improved panel data models with an application to gasoline demand," Computational Statistics & Data Analysis, Elsevier, vol. 51(7), pages 3381-3392, April.
- Zellner, A., 1988.
"Causality And Causal Laws In Economics,"
m8801, Southern California - Department of Economics.
- Alan M. Garber & Jonathan Skinner, 2008.
"Is American Health Care Uniquely Inefficient?,"
Journal of Economic Perspectives,
American Economic Association, vol. 22(4), pages 27-50, Fall.
- I-Lok Chang & P.A.V.B. Swamy & Charles Hallahan & George S. Tavlas, 2000. "A Computational Approach to Finding Causal Economic Laws," Computational Economics, Society for Computational Economics, vol. 16(1/2), pages 105-136, October.
- Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
- Basmann, R. L., 1988. "Causality tests and observationally equivalent representations of econometric models," Journal of Econometrics, Elsevier, vol. 39(1-2), pages 69-104.
- Stephen G. Hall & P.A.V.B. Swamy & George S. Tavlas, 2012.
"Milton Friedman, the demand for money, and the ECB’s monetary policy strategy,"
Federal Reserve Bank of St. Louis, issue May, pages 153-186.
- Stephen Hall & P.A.V.B. Swamy & George S. Tavlas, 2012. "Milton Friedman, the Demand for Money and the ECB’s Monetary-Policy Strategy," Discussion Papers in Economics 12/05, Department of Economics, University of Leicester.
- Paleologos, John M. & Polemis, Michael L., 2013. "What drives investment in the telecommunications sector? Some lessons from the OECD countries," Economic Modelling, Elsevier, vol. 31(C), pages 49-57.
- Stephen Hall & George Hondroyiannis & Amangeldi Kenjegaliev & P.A.V.B. Swamy & George S. Tavlas, 2013.
"Is the Relationship Between Prices and Exchange Rates Homogeneous?,"
Discussion Papers in Economics
13/13, Department of Economics, University of Leicester.
- Hall, Stephen G. & Hondroyiannis, George & Kenjegaliev, Amangeldi & Swamy, P.A.V.B. & Tavlas, George S., 2013. "Is the relationship between prices and exchange rates homogeneous?," Journal of International Money and Finance, Elsevier, vol. 37(C), pages 411-438.
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