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Using OLS to Estimate and Test for Structural Changes in Models with Endogenous Regressors

Author

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  • Pierre Perron

    () (Department of Economics, Boston University)

  • Yohei Yamamoto

    () (University of Alberta School of Business)

Abstract

We consider the problem of estimating and testing for multiple breaks in a single equation framework with regressors that are endogenous, i.e., correlated with the errors. We show that even in the presence of endogenous regressors, it is still preferable to simply estimate the break dates and test for structural change using the usual ordinary least-squares (OLS) framework. In most cases, it delivers estimates of the break dates with higher precision and tests with higher power compared to those obtained using an IV method. Also, the OLS method avoids potential weak identification problems caused by weak instruments. To illustrate the relevance of our theoretical results, we consider the stability of the New Keynesian hybrid Phillips curve. IV-based methods only provide weak evidence of instability. On the other hand, OLS-based ones strongly indicate a change in 1991:1 and that after this date the model looses all explanatory power.

Suggested Citation

  • Pierre Perron & Yohei Yamamoto, 2011. "Using OLS to Estimate and Test for Structural Changes in Models with Endogenous Regressors," Boston University - Department of Economics - Working Papers Series WP2011-053, Boston University - Department of Economics.
  • Handle: RePEc:bos:wpaper:wp2011-053
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    References listed on IDEAS

    as
    1. Kejriwal, Mohitosh & Perron, Pierre, 2010. "Testing for Multiple Structural Changes in Cointegrated Regression Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(4), pages 503-522.
    2. Tatevik Sekhposyan & Barbara Rossi, 2008. "Has modelsí forecasting performance for US output growth and inflation changed over time, and when?," Working Papers 09-02, Duke University, Department of Economics.
    3. Hall, Alastair R. & Han, Sanggohn & Boldea, Otilia, 2008. "Asymptotic Distribution Theory for Break Point Estimators in Models Estimated via 2SLS," MPRA Paper 9472, University Library of Munich, Germany.
    4. Hall, Alastair R. & Han, Sanggohn & Boldea, Otilia, 2008. "Inference regarding multiple structural changes in linear models estimated via two stage least squares," MPRA Paper 9251, University Library of Munich, Germany, revised 20 Jun 2008.
    5. Perron, Pierre & Qu, Zhongjun, 2006. "Estimating restricted structural change models," Journal of Econometrics, Elsevier, vol. 134(2), pages 373-399, October.
    6. Pierre Perron & Yohei Yamamoto, 2008. "Estimating and Testing Multiple Structural Changes in Models with Endogenous Regressors," Boston University - Department of Economics - Working Papers Series wp2008-017, Boston University - Department of Economics.
    7. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
    8. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
    9. Kejriwal, Mohitosh & Perron, Pierre, 2008. "The limit distribution of the estimates in cointegrated regression models with multiple structural changes," Journal of Econometrics, Elsevier, vol. 146(1), pages 59-73, September.
    10. Kurmann, Andre, 2007. "VAR-based estimation of Euler equations with an application to New Keynesian pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 31(3), pages 767-796, March.
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    Citations

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    Cited by:

    1. Yohei Yamamoto & Pierre Perron, 2013. "Estimating and testing multiple structural changes in linear models using band spectral regressions," Econometrics Journal, Royal Economic Society, vol. 16(3), pages 400-429, October.
    2. Michael D. Bordo & Pierre Siklos, 2017. "Central Banks: Evolution and Innovation in Historical Perspective," Economics Working Papers 17105, Hoover Institution, Stanford University.
    3. Yu, Ping, 2015. "Consistency of the least squares estimator in threshold regression with endogeneity," Economics Letters, Elsevier, vol. 131(C), pages 41-46.
    4. Duo Qin & Sophie van H¸llen & Qing-Chao Wang, 2014. "What Happens to Wage Elasticities When We Strip Playometrics? Revisiting Married Women Labour Supply Model," Working Papers 190, Department of Economics, SOAS, University of London, UK.
    5. repec:eee:econom:v:204:y:2018:i:1:p:66-85 is not listed on IDEAS
    6. Pulapre Balakrishnan & Mausumi Das & M. Parameswaran, 2015. "The Mechanism of Long-Term Growth in India," Working Papers id:6414, eSocialSciences.
    7. Ping Yu & Peter C.B. Phillips, 2014. "Threshold Regression with Endogeneity," Cowles Foundation Discussion Papers 1966, Cowles Foundation for Research in Economics, Yale University.
    8. repec:bla:jtsera:v:38:y:2017:i:5:p:791-805 is not listed on IDEAS
    9. Ye Li & Pierre Perron, 2017. "Inference on locally ordered breaks in multiple regressions," Econometric Reviews, Taylor & Francis Journals, vol. 36(1-3), pages 289-353, March.
    10. Oka, Tatsushi & Perron, Pierre, 2018. "Testing for common breaks in a multiple equations system," Journal of Econometrics, Elsevier, vol. 204(1), pages 66-85.
    11. Pulapre Balakrishnan & Mausumi Das & M Parameswaran, 2014. "The Internal Dynamic Of Indian Economic Growth," Working papers 239, Centre for Development Economics, Delhi School of Economics.
    12. KUROZUMI, Eiji, 2016. "Monitoring Parameter Constancy with Endogenous Regressors," Discussion Papers 2016-01, Graduate School of Economics, Hitotsubashi University.
    13. Rasmus Fatum & Yohei Yamamoto, 2012. "Does Foreign Exchange Intervention Volume Matter?," EPRU Working Paper Series 2012-03, Economic Policy Research Unit (EPRU), University of Copenhagen. Department of Economics.
    14. Alessandro Casini & Pierre Perron, 2018. "Structural Breaks in Time Series," Papers 1805.03807, arXiv.org.
    15. Duo Qin & Sophie van Huellen & Qing-Chao Wang, 2015. "How Credible Are Shrinking Wage Elasticities of Married Women Labour Supply?," Econometrics, MDPI, Open Access Journal, vol. 4(1), pages 1-31, December.

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