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Consistent estimation of linear panel data models with measurement error

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  • Meijer, Erik
  • Spierdijk, Laura
  • Wansbeek, Tom

Abstract

Measurement error causes a bias towards zero when estimating a panel data linear regression model. The panel data context offers various opportunities to derive instrumental variables allowing for consistent estimation. We consider three sources of moment conditions: (i) restrictions on the covariance matrix of the errors in the equations, (ii) nonzero third moments of the regressors, and (iii) heteroskedasticity and nonlinearity in the relation between the error-ridden regressor and another, error-free, regressor. In simulations, these approaches appear to work well.

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  • Meijer, Erik & Spierdijk, Laura & Wansbeek, Tom, 2017. "Consistent estimation of linear panel data models with measurement error," Journal of Econometrics, Elsevier, vol. 200(2), pages 169-180.
    • Handle: RePEc:eee:econom:v:200:y:2017:i:2:p:169-180
    DOI: 10.1016/j.jeconom.2017.06.003
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    3. Bělín, Matěj, 2020. "Time-invariant regressors under fixed effects: Simple identification via a proxy variable," Economics Letters, Elsevier, vol. 186(C).
    4. Hamidou Jawara & Rainer Thiele, 2021. "The Nutrient-Income Elasticity in Ultra-Poor Households: Evidence from Kenya," The European Journal of Development Research, Palgrave Macmillan;European Association of Development Research and Training Institutes (EADI), vol. 33(6), pages 1795-1819, December.
    5. Fırat Yaman & Patricia Cubí-Mollá & Sergiu Ungureanu, 2023. "Which Decision Theory Describes Life Satisfaction Best? Evidence from Annual Panel Data," Journal of Happiness Studies, Springer, vol. 24(3), pages 893-916, March.
    6. Thomas von Brasch & Diana‐Cristina Iancu & Terje Skjerpen, 2020. "Productivity Dispersion and Measurement Error," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 66(4), pages 985-996, December.
    7. Nikolay Gospodinov & Ivana Komunjer & Serena Ng, 2014. "Minimum Distance Estimation of Dynamic Models with Errors-In-Variables," FRB Atlanta Working Paper 2014-11, Federal Reserve Bank of Atlanta.

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    More about this item

    Keywords

    Measurement error; Panel data; Third moments; Heteroskedasticity; GMM;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation

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