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Comparison of the Anderson-Rubin test for overidentification and the Johansen test for cointegration


Author Info

  • Hoogerheide, L.F.
  • van Dijk, H.K.


In this paper we discuss the similarity between the Anderson-Rubin test for overidentification in a Simultaneous Equations Model and the Johansen test for cointegration in a Vector Autoregressive model. The similar structure of the two models is shown to be important in this respect. An alternative procedure for computing the Anderson-Rubin test is given, which appears to be faster than the conventional method. The derivation of the likelihood ratio test for the hypothesis of reduced rank is given for the general case. Both the Anderson-Rubin test and the Johansen test are shown to be monotonically increasing functions of the singular values of a scaled version of the unrestricted least-squares estimator of the matrix upon which the rank restriction is imposed.

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Bibliographic Info

Paper provided by Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute in its series Econometric Institute Research Papers with number EI 2001-04.

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Date of creation: 12 Feb 2001
Date of revision:
Handle: RePEc:ems:eureir:1669

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Keywords: Cointegration; Likelihood ratio test; Overidentification; Singular value decomposition;


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Cited by:
  1. de Pooter, M.D. & Ravazzolo, F. & Segers, R. & van Dijk, H.K., 2008. "Bayesian near-boundary analysis in basic macroeconomic time series models," Econometric Institute Research Papers, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute EI 2008-13, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.


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