Distributions of error correction tests for cointegration
Abstract
This paper provides densities and finite sample critical values for the single-equation error correction statistic for testing cointegration. Graphs and response surfaces summarize extensive Monte Carlo simulations and highlight simple dependencies of the statistic's quantiles on the number of variables in the error correction model, the choice of deterministic components, and the sample size. The response surfaces provide a convenient way for calculating finite sample critical values at standard levels; and a computer program, freely available over the Internet, can be used to calculate both critical values and p-values. Two empirical applications illustrate these tools. Copyright Royal Economic Society, 2002Download Info
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Bibliographic Info
Article provided by Royal Economic Society in its journal The Econometrics Journal.
Volume (Year): 5 (2002)
Issue (Month): 2 (06)
Pages: 285-318
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Related research
Keywords:Other versions of this item:
- Neil R. Ericsson & James G. MacKinnon, 2000. "Distributions of Error Correction Tests for Cointegration," Econometric Society World Congress 2000 Contributed Papers 0561, Econometric Society.
- Neil R. Ericsson & James G. MacKinnon, 1999. "Distributions of error correction tests for cointegration," International Finance Discussion Papers 655, Board of Governors of the Federal Reserve System (U.S.).
References
References listed on IDEASPlease report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Hendry, David F. & Pagan, Adrian R. & Sargan, J.Denis, 1984. "Dynamic specification," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 18, pages 1023-1100 Elsevier.
- Doornik, Jurgen A, 1999. " Erratum [Approximations to the Asymptotic Distribution of Cointegration Tests]," Journal of Economic Surveys, Wiley Blackwell, vol. 13(2), pages i, April.
- Johansen, S., 1991.
"Testing Weak Exogeneity and the Order of Cointegration in UK Money Demand Data,"
Papers
78, Helsinki - Department of Economics.
- Johansen, Soren, 1992. "Testing weak exogeneity and the order of cointegration in UK money demand data," Journal of Policy Modeling, Elsevier, vol. 14(3), pages 313-334, June.
- Pesaran, M. Hashem & Shin, Yongcheol & Smith, Richard J., 2000.
"Structural analysis of vector error correction models with exogenous I(1) variables,"
Journal of Econometrics,
Elsevier, vol. 97(2), pages 293-343, August.
- Pesaran, M. H. & Shin, Y. & Smith, R. J., 1997. "Structural Analysis of Vector Error Correction Models with Exogenous I(1) Variables," Cambridge Working Papers in Economics 9706, Faculty of Economics, University of Cambridge.
- repec:cup:etheor:v:11:y:1995:i:5:p:984-1014 is not listed on IDEAS
- David F. Hendry & Neil R. Ericsson, 1990.
"Modeling the demand for narrow money in the United Kingdom and the United States,"
International Finance Discussion Papers
383, Board of Governors of the Federal Reserve System (U.S.).
- Hendry, David F. & Ericsson, Neil R., 1991. "Modeling the demand for narrow money in the United Kingdom and the United States," European Economic Review, Elsevier, vol. 35(4), pages 833-881, May.
- MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999.
"Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 14(5), pages 563-77, Sept.-Oct.
- James G. MacKinnon & Alfred A. Haug & Leo Michelis, 1996. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Working Papers 1996_07, York University, Department of Economics.
- Mackinnon, J.G. & Haug, A.A. & Michelis, L., 1996. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," G.R.E.Q.A.M. 96a09, Universite Aix-Marseille III.
- Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-72, August.
- Hendry, David F., 1984. "Monte carlo experimentation in econometrics," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 16, pages 937-976 Elsevier.
- James H. Stock & Mark W. Watson, 1991.
"A simple estimator of cointegrating vectors in higher order integrated systems,"
Working Paper Series, Macroeconomic Issues
91-3, Federal Reserve Bank of Chicago.
- Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
- Kremers, Jeroen J. M., 1988. "Long-run limits on the US Federal debt," Economics Letters, Elsevier, vol. 28(3), pages 259-262.
- 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.
- Hamilton, James D & Flavin, Marjorie A, 1986.
"On the Limitations of Government Borrowing: A Framework for EmpiricalTesting,"
American Economic Review,
American Economic Association, vol. 76(4), pages 808-19, September.
- James D. Hamilton & Marjorie A. Flavin, 1985. "On the Limitations of Government Borrowing: A Framework for Empirical Testing," NBER Working Papers 1632, National Bureau of Economic Research, Inc.
- Cheung, Yin-Wong & Lai, Kon S, 1995. "Lag Order and Critical Values of the Augmented Dickey-Fuller Test," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 277-80, July.
- Kiviet, Jan F & Phillips, Garry D A, 1992. "Exact Similar Tests for Unit Roots and Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 349-67, August.
- Harbo, Ingrid, et al, 1998. "Asymptotic Inference on Cointegrating Rank in Partial Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 388-99, October.
- Dolado, Juan José & Banerjee, Anindya & Mestre, Ricardo, . "Error-correction Mechanism Tests for Cointegration in a Single-equation Framework," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/3275, Universidad Carlos III de Madrid.
- Kremers, Jeroen J M & Ericsson, Neil R & Dolado, Juan J, 1992.
"The Power of Cointegration Tests,"
Oxford Bulletin of Economics and Statistics,
Department of Economics, University of Oxford, vol. 54(3), pages 325-48, August.
- Jeroen J.M. Kremers & Neil R. Ericsson & Juan J. Dolado, 1992. "The power of cointegration tests," International Finance Discussion Papers 431, Board of Governors of the Federal Reserve System (U.S.).
- Dolado, Juan José & Ericsson, N.R. & Kremers, J.J.M., 1992. "The Power of Cointegration Tests," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/3319, Universidad Carlos III de Madrid.
- Doornik, Jurgen A & Hendry, David F & Nielsen, Bent, 1998. " Inference in Cointegrating Models: UK M1 Revisited," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 533-72, December.
- Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
- Doornik, Jurgen A, 1998. " Approximations to the Asymptotic Distributions of Cointegration Tests," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 573-93, December.
- MacKinnon, James G, 1996.
"Numerical Distribution Functions for Unit Root and Cointegration Tests,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 11(6), pages 601-18, Nov.-Dec..
- James G. MacKinnon, 1995. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Working Papers 918, Queen's University, Department of Economics.
- Davidson, James E H, et al, 1978. "Econometric Modelling of the Aggregate Time-Series Relationship between Consumers' Expenditure and Income in the United Kingdom," Economic Journal, Royal Economic Society, vol. 88(352), pages 661-92, December.
- Ericsson, Neil R, 1991. "Monte Carlo Methodology and the Finite Sample Properties of Instrumental Variables Statistics for Testing Nested and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 59(5), pages 1249-77, September.
- Abadir, K.M., 1992.
"The Limiting Distribution of the T Ratio Under a Unit Root,"
Papers
1992-2, American Cairo - Economics and Political Sciences.
- Abadir, Karim M., 1995. "The Limiting Distribution of the t Ratio Under a Unit Root," Econometric Theory, Cambridge University Press, vol. 11(04), pages 775-793, August.
- Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
- Horvath, Michael T.K. & Watson, Mark W., 1995. "Testing for Cointegration When Some of the Cointegrating Vectors are Prespecified," Econometric Theory, Cambridge University Press, vol. 11(05), pages 984-1014, October.
- Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
- David Hendry, 1995. "On the interactions of unit roots and exogeneity," Economics Papers 7., Economics Group, Nuffield College, University of Oxford.
- Peter C.B. Phillips & Mico Loretan, 1989.
"Estimating Long Run Economic Equilibria,"
Cowles Foundation Discussion Papers
928, Cowles Foundation for Research in Economics, Yale University.
- Phillips, Peter C B & Loretan, Mico, 1991. "Estimating Long-run Economic Equilibria," Review of Economic Studies, Wiley Blackwell, vol. 58(3), pages 407-36, May.
- Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
- MacKinnon, James G, 1994.
"Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 12(2), pages 167-76, April.
- James G. MacKinnon, 1992. "Approximate Asymptotic Distribution Functions for Unit Roots and Cointegration Tests," Working Papers 861, Queen's University, Department of Economics.
- Hendry, D.F. & Mizon, G.E., 1990. "Evaluating Dynamic Econometric Models By Encompassing The Var," Economics Series Working Papers 99102, University of Oxford, Department of Economics.
- James G. MacKinnon, 1990.
"Critical Values for Cointegration Tests,"
Working Papers
1227, Queen's University, Department of Economics.
- Tom Doan, . "EGTEST: RATS procedure to compute Engle-Granger test for Cointegration," Statistical Software Components RTS00061, Boston College Department of Economics.
- James G. MacKinnon, 2010. "Critical Values for Cointegration Tests," Working Papers 1227, Queen's University, Department of Economics.
- Hansen, Bruce E., 1995.
"Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power,"
Econometric Theory,
Cambridge University Press, vol. 11(05), pages 1148-1171, October.
- Bruce E. Hansen, 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Boston College Working Papers in Economics 300., Boston College Department of Economics.
- Julia Campos & Neil R. Ericsson & David F. Hendry, 1993.
"Cointegration tests in the presence of structural breaks,"
International Finance Discussion Papers
440, Board of Governors of the Federal Reserve System (U.S.).
- Campos, Julia & Ericsson, Neil R. & Hendry, David F., 1996. "Cointegration tests in the presence of structural breaks," Journal of Econometrics, Elsevier, vol. 70(1), pages 187-220, January.
- Stock, James H, 1987. "Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors," Econometrica, Econometric Society, vol. 55(5), pages 1035-56, September.
- repec:cup:etheor:v:11:y:1995:i:4:p:775-93 is not listed on IDEAS
- Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, March.
- Nielsen, Bent & Rahbek, Anders, 2000. " Similarity Issues in Cointegration Analysis," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(1), pages 5-22, February.
- Johansen, Soren, 1992. "Cointegration in partial systems and the efficiency of single-equation analysis," Journal of Econometrics, Elsevier, vol. 52(3), pages 389-402, June.
- repec:cup:etheor:v:11:y:1995:i:5:p:1148-71 is not listed on IDEAS
- MacKinnon, James G. & White, Halbert, 1985.
"Some heteroskedasticity-consistent covariance matrix estimators with improved finite sample properties,"
Journal of Econometrics,
Elsevier, vol. 29(3), pages 305-325, September.
- James G. MacKinnon & Halbert White, 1983. "Some Heteroskedasticity Consistent Covariance Matrix Estimators with Improved Finite Sample Properties," Working Papers 537, Queen's University, Department of Economics.
- Eric Zivot, 1996. "The Power of Single Equation Tests for Cointegration when the Cointegrating Vector is Prespecified," Econometrics 9612001, EconWPA.
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