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

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

Abstract

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.

Suggested Citation

  • Hoogerheide, L.F. & van Dijk, H.K., 2001. "Comparison of the Anderson-Rubin test for overidentification and the Johansen test for cointegration," Econometric Institute Research Papers EI 2001-04, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  • Handle: RePEc:ems:eureir:1669
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    File URL: https://repub.eur.nl/pub/1669/feweco20010212160720.pdf
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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 EI 2008-13, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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