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How Much Should We Trust Regression-Kink-Design Estimates?

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  • Ando, Michihito

    (Department of Economics)

Abstract
In a Regression Kink (RK) design with a finite sample, a confounding smooth nonlinear relationship between an assignment variable and an outcome variable around a threshold can be spuriously picked up as a kink and result in a biased estimate. In order to investigate how well RK designs handle such confounding nonlinearity, I firstly implement Monte Carlo simulations and then study the effect of fiscal equalization grants on local expenditure using a RK design. Results suggest that RK estimation with a confounding nonlinearity often suffers from bias or imprecision and estimates are credible only when relevant covariates are controlled for.

Suggested Citation

  • Ando, Michihito, 2013. "How Much Should We Trust Regression-Kink-Design Estimates?," Working Paper Series 2013:22, Uppsala University, Department of Economics.
    • Handle: RePEc:hhs:uunewp:2013_022
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    1. J. P. Florens & J. J. Heckman & C. Meghir & E. Vytlacil, 2008. "Identification of Treatment Effects Using Control Functions in Models With Continuous, Endogenous Treatment and Heterogeneous Effects," Econometrica, Econometric Society, vol. 76(5), pages 1191-1206, September.
    2. Gordon, Nora, 2004. "Do federal grants boost school spending? Evidence from Title I," Journal of Public Economics, Elsevier, vol. 88(9-10), pages 1771-1792, August.
    3. Camille Landais, 2015. "Assessing the Welfare Effects of Unemployment Benefits Using the Regression Kink Design," American Economic Journal: Economic Policy, American Economic Association, vol. 7(4), pages 243-278, November.
    4. David Card & David S. Lee & Zhuan Pei & Andrea Weber, 2015. "Inference on Causal Effects in a Generalized Regression Kink Design," Econometrica, Econometric Society, vol. 83, pages 2453-2483, November.
    5. Helena Skyt Nielsen & Torben Sørensen & Christopher Taber, 2010. "Estimating the Effect of Student Aid on College Enrollment: Evidence from a Government Grant Policy Reform," NBER Chapters, in: Income Taxation, Trans-Atlantic Public Economics Seminar (TAPES), pages 185-215, National Bureau of Economic Research, Inc.
    6. David E. Card & David S. Lee & Zhuan Pei & Andrea Weber, 2012. "Nonlinear Policy Rules and the Identification and Estimation of Causal Effects in a Generalized Regression Kink Design," NRN working papers 2012-14, The Austrian Center for Labor Economics and the Analysis of the Welfare State, Johannes Kepler University Linz, Austria.
    7. Daniel J. Wilson, 2012. "Fiscal Spending Jobs Multipliers: Evidence from the 2009 American Recovery and Reinvestment Act," American Economic Journal: Economic Policy, American Economic Association, vol. 4(3), pages 251-282, August.
    8. David S. Lee & Thomas Lemieux, 2010. "Regression Discontinuity Designs in Economics," Journal of Economic Literature, American Economic Association, vol. 48(2), pages 281-355, June.
    9. Robin Boadway & Anwar Shah, 2007. "Intergovernmental Fiscal Transfers : Principles and Practice," World Bank Publications - Books, The World Bank Group, number 7171.
    10. Per Engström & Katarina Nordblom & Henry Ohlsson & Annika Persson, 2015. "Tax Compliance and Loss Aversion," American Economic Journal: Economic Policy, American Economic Association, vol. 7(4), pages 132-164, November.
    11. Heléne Lundqvist, 2015. "Granting public or private consumption? Effects of grants on local public spending and income taxes," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(1), pages 41-72, February.
    12. Michihito Ando, 2017. "How much should we trust regression-kink-design estimates?," Empirical Economics, Springer, vol. 53(3), pages 1287-1322, November.
    13. Gabriel Chodorow-Reich & Laura Feiveson & Zachary Liscow & William Gui Woolston, 2012. "Does State Fiscal Relief during Recessions Increase Employment? Evidence from the American Recovery and Reinvestment Act," American Economic Journal: Economic Policy, American Economic Association, vol. 4(3), pages 118-145, August.
    14. Juan Carlos Suárez Serrato & Philippe Wingender, 2016. "Estimating Local Fiscal Multipliers," NBER Working Papers 22425, National Bureau of Economic Research, Inc.
    15. Emmanuel Saez, 2010. "Do Taxpayers Bunch at Kink Points?," American Economic Journal: Economic Policy, American Economic Association, vol. 2(3), pages 180-212, August.
    16. Joseph G. Altonji & Rosa L. Matzkin, 2005. "Cross Section and Panel Data Estimators for Nonseparable Models with Endogenous Regressors," Econometrica, Econometric Society, vol. 73(4), pages 1053-1102, July.
    17. Heléne Lundqvist & Matz Dahlberg & Eva Mörk, 2014. "Stimulating Local Public Employment: Do General Grants Work?," American Economic Journal: Economic Policy, American Economic Association, vol. 6(1), pages 167-192, February.
    18. David Card & David S. Lee & Zhuan Pei, 2009. "Quasi-Experimental Identification and Estimation in the Regression Kink Design," Working Papers 1206, Princeton University, Department of Economics, Industrial Relations Section..
    19. Sebastian Calonico & Matias D. Cattaneo & Rocío Titiunik, 2015. "Optimal Data-Driven Regression Discontinuity Plots," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 110(512), pages 1753-1769, December.
    20. Marianne Simonsen & Lars Skipper & Niels Skipper, 2016. "Price Sensitivity of Demand for Prescription Drugs: Exploiting a Regression Kink Design," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(2), pages 320-337, March.
    21. Moffitt, Robert, 1986. "The Econometrics of Piecewise-Linear Budget Constraints: A Survey and Exposition of the Maximum Likelihood Method," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(3), pages 317-328, July.
    22. Conley, Timothy G. & Dupor, Bill, 2013. "The American Recovery and Reinvestment Act: Solely a government jobs program?," Journal of Monetary Economics, Elsevier, vol. 60(5), pages 535-549.
    23. Guido Imbens & Karthik Kalyanaraman, 2012. "Optimal Bandwidth Choice for the Regression Discontinuity Estimator," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(3), pages 933-959.
    24. David Card & David S. Lee & Zhuan Pei, 2009. "Quasi-Experimental Identification and Estimation in the Regression Kink Design," Working Papers 1206, Princeton University, Department of Economics, Industrial Relations Section..
    25. Bailey, Stephen J & Connolly, Stephen, 1998. "The Flypaper Effect: Identifying Areas for Further Research," Public Choice, Springer, vol. 95(3-4), pages 335-361, June.
    26. Andrew Gelman & Guido Imbens, 2019. "Why High-Order Polynomials Should Not Be Used in Regression Discontinuity Designs," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(3), pages 447-456, July.
    27. Hausman, Jerry A, 1985. "The Econometrics of Nonlinear Budget Sets," Econometrica, Econometric Society, vol. 53(6), pages 1255-1282, November.
    28. McCrary, Justin, 2008. "Manipulation of the running variable in the regression discontinuity design: A density test," Journal of Econometrics, Elsevier, vol. 142(2), pages 698-714, February.
    29. Peter Ganong & Simon Jäger, 2018. "A Permutation Test for the Regression Kink Design," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 113(522), pages 494-504, April.
    30. Stephan Litschig & Kevin M. Morrison, 2013. "The Impact of Intergovernmental Transfers on Education Outcomes and Poverty Reduction," American Economic Journal: Applied Economics, American Economic Association, vol. 5(4), pages 206-240, October.
    31. Robert P. Inman, 2008. "The Flypaper Effect," NBER Working Papers 14579, National Bureau of Economic Research, Inc.
    32. David F. Bradford & Wallace E. Oates, 1971. "The Analysis of Revenue Sharing in a New Approach to Collective Fiscal Decisions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 85(3), pages 416-439.
    33. Moffitt, Robert, 1990. "The Econometrics of Kinked Budget Constraints," Journal of Economic Perspectives, American Economic Association, vol. 4(2), pages 119-139, Spring.
    34. Moffitt, Robert A., 1984. "The effects of grants-in-aid on state and local expenditures : The case of AFDC," Journal of Public Economics, Elsevier, vol. 23(3), pages 279-305, April.
    35. Jonathan Guryan, 2001. "Does Money Matter? Regression-Discontinuity Estimates from Education Finance Reform in Massachusetts," NBER Working Papers 8269, National Bureau of Economic Research, Inc.
    36. Brian Knight, 2002. "Endogenous Federal Grants and Crowd-out of State Government Spending: Theory and Evidence from the Federal Highway Aid Program," American Economic Review, American Economic Association, vol. 92(1), pages 71-92, March.
    37. James Feyrer & Bruce Sacerdote, 2011. "Did the Stimulus Stimulate? Real Time Estimates of the Effects of the American Recovery and Reinvestment Act," NBER Working Papers 16759, National Bureau of Economic Research, Inc.
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    Cited by:

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    2. Sarah H. Bana & Kelly Bedard & Maya Rossin‐Slater, 2020. "The Impacts of Paid Family Leave Benefits: Regression Kink Evidence from California Administrative Data," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 39(4), pages 888-929, September.
    3. Michihito Ando, 2017. "How much should we trust regression-kink-design estimates?," Empirical Economics, Springer, vol. 53(3), pages 1287-1322, November.
    4. Tomi Kyyrä & Hanna Pesola, 2020. "The Effects of UI Benefits on Unemployment and Subsequent Outcomes: Evidence from a Kinked Benefit Rule," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(5), pages 1135-1160, October.
    5. Chen, Yi & Zhao, Yi, 2022. "The timing of first marriage and subsequent life outcomes: Evidence from a natural experiment," Journal of Comparative Economics, Elsevier, vol. 50(3), pages 713-731.
    6. Degrave, Anne & Lopez-Peceno, Alejandro & Rozenas, Arturas, 2024. "Peasants into Citizens: Suffrage Expansion and Mass Politics in France," TSE Working Papers 24-1529, Toulouse School of Economics (TSE).
    7. David Card & David S. Lee & Zhuan Pei & Andrea Weber, 2015. "Inference on Causal Effects in a Generalized Regression Kink Design," Econometrica, Econometric Society, vol. 83, pages 2453-2483, November.
    8. Simona Gamba & Niklas Jakobsson & Mikael Svensson, 2022. "The impact of cost-sharing on prescription drug demand: evidence from a double-difference regression kink design," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 23(9), pages 1591-1599, December.
    9. Damon Jones & Alexander M. Gelber & Daniel W. Sacks & Jae Song, 2017. "Using Kinked Budget Sets to Estimate Extensive Margin Responses: Method and Evidence from the Social Security Earnings Test," Working Papers 2017-034, Human Capital and Economic Opportunity Working Group.
    10. David Card & David S. Lee & Zhuan Pei & Andrea Weber, 2017. "Regression Kink Design: Theory and Practice," Advances in Econometrics, in: Regression Discontinuity Designs, volume 38, pages 341-382, Emerald Group Publishing Limited.
    11. Ayertey, Winfred & Sharifi, Ayyoob & Yoshida, Yuichiro, 2024. "The impact of increase in block pricing on electricity demand responsiveness: Evidence from Ghana," Energy, Elsevier, vol. 288(C).
    12. Alexander M. Gelber & Damon Jones & Daniel W. Sacks & Jae Song, 2017. "Using Non-Linear Budget Sets to Estimate Extensive Margin Responses: Method and Evidence from the Social Security Earnings Test," NBER Working Papers 23362, National Bureau of Economic Research, Inc.
    13. Kyyrä, Tomi & Paukkeri, Tuuli, 2018. "Does experience rating reduce sickness and disability claims? Evidence from policy kinks," Journal of Health Economics, Elsevier, vol. 61(C), pages 178-192.
    14. Alexander Gelber & Timothy J. Moore & Alexander Strand, 2017. "The Effect of Disability Insurance Payments on Beneficiaries' Earnings," American Economic Journal: Economic Policy, American Economic Association, vol. 9(3), pages 229-261, August.
    15. Antti Saastamoinen & Mika Kortelainen, 2020. "When Does Money Stick in Education? Evidence from A Kinked Grant Rule," Education Finance and Policy, MIT Press, vol. 15(4), pages 708-735, Fall.
    16. Ganong, Peter & Jäger, Simon, 2014. "A Permutation Test and Estimation Alternatives for the Regression Kink Design," IZA Discussion Papers 8282, Institute of Labor Economics (IZA).
    17. Peter Ganong & Simon Jäger, 2018. "A Permutation Test for the Regression Kink Design," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 113(522), pages 494-504, April.
    18. Jaeger, Simon C & Ganong, Peter Nathan, 2014. "A Permutation Test and Estimation Alternatives for the Regression Kink Design," Scholarly Articles 34222894, Harvard University Department of Economics.

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    More about this item

    Keywords

    Regression Kink Design; Endogenous regressors; Intergovernmental grants; Flypaper effect;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • H71 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Taxation, Subsidies, and Revenue
    • H72 - Public Economics - - State and Local Government; Intergovernmental Relations - - - State and Local Budget and Expenditures
    • H77 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Intergovernmental Relations; Federalism

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