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A General Theory of Hypothesis Testing in the Simultaneous Equations Model

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  • Marcelo J. Moreira

Abstract

Classical exponential-family statistical theory is employed to characterize the class of exactly similar tests for a structural coefficient in a simultaneous equations model with normal errors and known reduced-form covariance matrix. We also find a necessary condition for tests to be unbiased and derive their power envelope. When the model is just-identified, we show that the Anderson-Rubin score, and conditioal likelihood ratio tests are optimal. When the model is over-identified, there exists no optimal tests. Nevertheless, Monte Carlo simulations indicate that the power curve of the conditional likelihood ratio tests is reasonably close to the power envelope.

Suggested Citation

  • Marcelo J. Moreira, 2003. "A General Theory of Hypothesis Testing in the Simultaneous Equations Model," Harvard Institute of Economic Research Working Papers 1992, Harvard - Institute of Economic Research.
    • Handle: RePEc:fth:harver:1992
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    File URL: http://www.economics.harvard.edu/pub/hier/2003/HIER1992.pdf
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    Cited by:

    1. Dufour, Jean-Marie & Taamouti, Mohamed, 2007. "Further results on projection-based inference in IV regressions with weak, collinear or missing instruments," Journal of Econometrics, Elsevier, vol. 139(1), pages 133-153, July.
    2. Khalaf, Lynda & Kichian, Maral, 2003. "Are New Keynesian Phillips Curved Identified?," Cahiers de recherche 0312, GREEN.
    3. Albouy, David, 2006. "The Colonial Origins of Comparative Development: An Investigation of the Settler Mortality Data," Center for International and Development Economics Research, Working Paper Series qt8kt576x8, Center for International and Development Economics Research, Institute for Business and Economic Research, UC Berkeley.
    4. Dufour, Jean-Marie & Khalaf, Lynda & Kichian, Maral, 2006. "Inflation dynamics and the New Keynesian Phillips Curve: An identification robust econometric analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1707-1727.
    5. Jean‐Marie Dufour, 2003. "Identification, weak instruments, and statistical inference in econometrics," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 36(4), pages 767-808, November.
    6. Lynda Khalaf & Maral Kichian, 2004. "Estimating New Keynesian Phillips Curves Using Exact Methods," Staff Working Papers 04-11, Bank of Canada.

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