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Discriminating between (in)valid external instruments and (in)valid exclusion restrictions

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  • Jan F. Kiviet

Abstract

In models estimated by (generalized) method of moments a test of coefficient restrictions can either be based on a Wald statistic or on the difference between evaluated criterion functions. Their correspondence can be used to demonstrate that a Sargan-Hansen test statistic for overidentification restrictions is equivalent to an omitted variables test statistic for a nonunique group of variables. We prove that this is the case for incremental Sargan-Hansen tests too. However, we also demonstrate that, despite this equivalence, one can nevertheless distinguish between either the (in)validity of some additional instruments or the (un)tenability of particular exclusion restrictions. It all hinges upon the required choice made regarding the initial maintained hypothesis.

Suggested Citation

  • Jan F. Kiviet, 2015. "Discriminating between (in)valid external instruments and (in)valid exclusion restrictions," UvA-Econometrics Working Papers 15-04, Universiteit van Amsterdam, Dept. of Econometrics.
    • Handle: RePEc:ame:wpaper:1504
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    Cited by:

    1. Kiviet, Jan F., 2020. "Testing the impossible: Identifying exclusion restrictions," Journal of Econometrics, Elsevier, vol. 218(2), pages 294-316.
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    3. Kiviet, Jan F., 2016. "When is it really justifiable to ignore explanatory variable endogeneity in a regression model?," Economics Letters, Elsevier, vol. 145(C), pages 192-195.
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    5. J. Michael Collins & Madelaine L’Esperance, 2023. "What do students gain from banks in schools? A field study," Review of Economics of the Household, Springer, vol. 21(2), pages 567-590, June.
    6. Kiviet, Jan F., 2023. "Instrument-free inference under confined regressor endogeneity and mild regularity," Econometrics and Statistics, Elsevier, vol. 25(C), pages 1-22.
    7. Darren K. Hayunga & R. Kelley Pace, 2019. "The Impact of TOM on Prices in the US Housing Market," The Journal of Real Estate Finance and Economics, Springer, vol. 58(3), pages 335-365, April.
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    9. Kiviet, Jan F. & Kripfganz, Sebastian, 2021. "Instrument approval by the Sargan test and its consequences for coefficient estimation," Economics Letters, Elsevier, vol. 205(C).

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    More about this item

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation

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