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A simple diagnostic to investigate instrument validity and heterogeneous effects when using a single instrument

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  • Dieterle, Steven G.
  • Snell, Andy

Abstract

Many studies that use instrumental variables are based on a first stage linear in the instrument. Using only linear first stages may miss important information about effect heterogeneity and instrument validity. Analyzing fifteen studies using linear first stages, we find ten with significant nonlinearities. Six of these ten have statistically different second stage estimates. Additional analysis is necessary when results are sensitive to first stage choice. We provide a framework to reconcile these differences by determining those patterns of heterogeneity that are consistent with instrument validity. If these patterns violate economic reasoning, then the validity of the instrument is questioned.

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  • Dieterle, Steven G. & Snell, Andy, 2016. "A simple diagnostic to investigate instrument validity and heterogeneous effects when using a single instrument," Labour Economics, Elsevier, vol. 42(C), pages 76-86.
    • Handle: RePEc:eee:labeco:v:42:y:2016:i:c:p:76-86
    DOI: 10.1016/j.labeco.2016.08.002
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    1. Sascha O. Becker & Ludger Woessmann, 2009. "Was Weber Wrong? A Human Capital Theory of Protestant Economic History," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(2), pages 531-596.
    2. Eric Werker & Faisal Z. Ahmed & Charles Cohen, 2009. "How Is Foreign Aid Spent? Evidence from a Natural Experiment," American Economic Journal: Macroeconomics, American Economic Association, vol. 1(2), pages 225-244, July.
    3. Taryn Dinkelman, 2011. "The Effects of Rural Electrification on Employment: New Evidence from South Africa," American Economic Review, American Economic Association, vol. 101(7), pages 3078-3108, December.
    4. David Y. Albouy, 2012. "The Colonial Origins of Comparative Development: An Empirical Investigation: Comment," American Economic Review, American Economic Association, vol. 102(6), pages 3059-3076, October.
    5. Katrine V. Løken & Magne Mogstad & Matthew Wiswall, 2012. "What Linear Estimators Miss: The Effects of Family Income on Child Outcomes," American Economic Journal: Applied Economics, American Economic Association, vol. 4(2), pages 1-35, April.
    6. Shin-Yi Chou & Jin-Tan Liu & Michael Grossman & Ted Joyce, 2010. "Parental Education and Child Health: Evidence from a Natural Experiment in Taiwan," American Economic Journal: Applied Economics, American Economic Association, vol. 2(1), pages 33-61, January.
    7. Alberto Alesina & Ekaterina Zhuravskaya, 2011. "Segregation and the Quality of Government in a Cross Section of Countries," American Economic Review, American Economic Association, vol. 101(5), pages 1872-1911, August.
    8. Sascha O. Becker & Erik Hornung & Ludger Woessmann, 2011. "Education and Catch-Up in the Industrial Revolution," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(3), pages 92-126, July.
    9. Joshua D. Angrist & Jörn-Steffen Pischke, 2009. "Mostly Harmless Econometrics: An Empiricist's Companion," Economics Books, Princeton University Press, edition 1, number 8769.
    10. Stock, James H & Wright, Jonathan H & Yogo, Motohiro, 2002. "A Survey of Weak Instruments and Weak Identification in Generalized Method of Moments," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 518-529, October.
    11. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-475, March.
    12. James J. Heckman & Sergio Urzua & Edward Vytlacil, 2006. "Understanding Instrumental Variables in Models with Essential Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 88(3), pages 389-432, August.
    13. Daron Acemoglu & Simon Johnson & James A. Robinson, 2001. "The Colonial Origins of Comparative Development: An Empirical Investigation," American Economic Review, American Economic Association, vol. 91(5), pages 1369-1401, December.
    14. Elizabeth Oltmans Ananat, 2011. "The Wrong Side(s) of the Tracks: The Causal Effects of Racial Segregation on Urban Poverty and Inequality," American Economic Journal: Applied Economics, American Economic Association, vol. 3(2), pages 34-66, April.
    15. Daron Acemoglu & Simon Johnson & James A. Robinson, 2012. "The Colonial Origins of Comparative Development: An Empirical Investigation: Reply," American Economic Review, American Economic Association, vol. 102(6), pages 3077-3110, October.
    16. Joshua D. Angrist & Kathryn Graddy & Guido W. Imbens, 2000. "The Interpretation of Instrumental Variables Estimators in Simultaneous Equations Models with an Application to the Demand for Fish," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 499-527.
    17. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, December.
    18. Molly Lipscomb & A. Mushfiq Mobarak & Tania Barham, 2013. "Development Effects of Electrification: Evidence from the Topographic Placement of Hydropower Plants in Brazil," American Economic Journal: Applied Economics, American Economic Association, vol. 5(2), pages 200-231, April.
    19. Lance Lochner & Enrico Moretti, 2011. "Estimating and Testing Non-Linear Models Using Instrumental Variables," University of Western Ontario, Centre for Human Capital and Productivity (CHCP) Working Papers 20112, University of Western Ontario, Centre for Human Capital and Productivity (CHCP).
    20. James H. Stock & Motohiro Yogo, 2002. "Testing for Weak Instruments in Linear IV Regression," NBER Technical Working Papers 0284, National Bureau of Economic Research, Inc.
    21. Kristine M. Brown & Ron A. Laschever, 2012. "When They're Sixty-Four: Peer Effects and the Timing of Retirement," American Economic Journal: Applied Economics, American Economic Association, vol. 4(3), pages 90-115, July.
    22. Whitney K. Newey, 2013. "Nonparametric Instrumental Variables Estimation," American Economic Review, American Economic Association, vol. 103(3), pages 550-556, May.
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    More about this item

    Keywords

    Instrumental variables; Heterogeneous treatment effects; Robustness check;
    All these keywords.

    JEL classification:

    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation

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