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Olley and Pakes‐style Production Function Estimators with Firm Fixed Effects

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  • Yoonseok Lee
  • Andrey Stoyanov
  • Nikolay Zubanov

Abstract

We show that control function estimators (CFEs) of the firm production function, such as Olley–Pakes, may be biased when productivity evolves with a firm‐specific intercept, in which case the correctly specified control function will contain a firm‐specific term, omitted in the standard CFEs. We develop an estimator that is free from this bias by introducing firm fixed effects in the control function. Applying our estimator to the data, we find that it outperforms the existing CFEs in terms of capturing persistent unobserved heterogeneity in firm productivity. Our estimator involves minimal modification to the standard CFE procedures and can be easily implemented using common statistical software.

Suggested Citation

  • Yoonseok Lee & Andrey Stoyanov & Nikolay Zubanov, 2019. "Olley and Pakes‐style Production Function Estimators with Firm Fixed Effects," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 81(1), pages 79-97, February.
    • Handle: RePEc:bla:obuest:v:81:y:2019:i:1:p:79-97
    DOI: 10.1111/obes.12259
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    Cited by:

    1. Nicola Gagliardi & Elena Grinza & François Rycx, 2021. "Can You Teach an Old Dog New Tricks? New Evidence on the Impact of Tenure on Productivity," Working Papers CEB 21-007, ULB -- Universite Libre de Bruxelles.
    2. Bournakis, Ioannis & Tsionas, Mike G., 2023. "A Non-Parametric Estimation of Productivity with Idiosyncratic and Aggregate Shocks: The Role of Research and Development (R&D) and Corporate Tax," MPRA Paper 118100, University Library of Munich, Germany.
    3. Tetsuji Okazaki & Ken Onishi & Naoki Wakamori, 2022. "Excess Capacity And Effectiveness Of Policy Interventions: Evidence From The Cement Industry," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(2), pages 883-915, May.
    4. Tsionas, Mike, 2022. "Efficiency estimation using probabilistic regression trees with an application to Chilean manufacturing industries," International Journal of Production Economics, Elsevier, vol. 249(C).
    5. Cambini, Carlo & Grinza, Elena & Sabatino, Lorien, 2023. "Ultra-fast broadband access and productivity: Evidence from Italian firms," International Journal of Industrial Organization, Elsevier, vol. 86(C).
    6. Abito, Jose Miguel, 2019. "Estimating Production Functions with Fixed Effects," MPRA Paper 97825, University Library of Munich, Germany.
    7. Elena Grinza & François Rycx, 2020. "The Impact of Sickness Absenteeism on Firm Productivity: New Evidence from Belgian Matched Employer–Employee Panel Data," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 59(1), pages 150-194, January.
    8. Filippini, Massimo & Geissmann, Thomas & Karplus, Valerie J. & Zhang, Da, 2020. "The productivity impacts of energy efficiency programs in developing countries: Evidence from iron and steel firms in China," China Economic Review, Elsevier, vol. 59(C).
    9. Dacic, Nikola & Melolinna, Marko, 2019. "The empirics of granular origins: some challenges and solutions with an application to the UK," Bank of England working papers 842, Bank of England.
    10. Delgado, Miguel A. & Arteaga-Molina, Luis A., 2021. "Testing constancy in varying coefficient models," Journal of Econometrics, Elsevier, vol. 222(1), pages 625-644.
    11. Khanna, Rupika & Sharma, Chandan, 2022. "Impact of information technology on firm performance: New evidence from Indian manufacturing," Information Economics and Policy, Elsevier, vol. 60(C).
    12. Khanna, Rupika & Sharma, Chandan, 2018. "Testing the effect of investments in IT and R&D on labour productivity: New method and evidence for Indian firms," Economics Letters, Elsevier, vol. 173(C), pages 30-34.
    13. Nikola Dacic & Marko Melolinna, 2022. "The empirics of granular origins: some challenges and solutions with an application to the UK," Journal of Productivity Analysis, Springer, vol. 58(2), pages 151-170, December.
    14. Massimo Filippini & Suchita Srinivasan, 2019. "Investments in Worker Health and Labor Productivity: Evidence from Vietnam," CER-ETH Economics working paper series 19/326, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    15. Massimo Filippini & Suchita Srinivasan, 2022. "Investments in worker health and production: Evidence from Vietnam," Economics of Transition and Institutional Change, John Wiley & Sons, vol. 30(2), pages 211-235, April.

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