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Is Monotonicity in an IV and RD design testable? No, but you can still check it

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  • Edwards, Ben
  • Fiorini, Mario
  • Stevens, Katrien
  • Taylor, Matthew

Abstract

Whenever treatment effects are heterogeneous and there is sorting into treatment based on the gain, monotonicity is a condition that both Instrumental Variable and fuzzy Regression Discontinuity designs have to satisfy for their estimand to be interpretable as a LATE. Angrist and Imbens (1995) argue that the monotonicity assumption is testable whenever the treatment is multivalued. We show that their test is informative if counterfactuals are observed. Yet applying the test without observing counterfactuals, as it is generally done, is not. Nevertheless, we argue that monotonicity can and should be investigated using a mix of economic intuition and data patterns, just like other untestable assumptions in an IV or RD design. We provide examples in a variety of settings as a guide to practice.

Suggested Citation

  • Edwards, Ben & Fiorini, Mario & Stevens, Katrien & Taylor, Matthew, 2013. "Is Monotonicity in an IV and RD design testable? No, but you can still check it," Working Papers 2013-06, University of Sydney, School of Economics.
    • Handle: RePEc:syd:wpaper:2123/9020
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    1. Keane, Michael P., 2010. "Structural vs. atheoretic approaches to econometrics," Journal of Econometrics, Elsevier, vol. 156(1), pages 3-20, May.
    2. James J. Heckman & Edward Vytlacil, 2005. "Structural Equations, Treatment Effects, and Econometric Policy Evaluation," Econometrica, Econometric Society, vol. 73(3), pages 669-738, May.
    3. Patrick A. Puhani & Andrea M. Weber, 2008. "Does the early bird catch the worm?," Studies in Empirical Economics, in: Christian Dustmann & Bernd Fitzenberger & Stephen Machin (ed.), The Economics of Education and Training, pages 105-132, Springer.
    4. Klein, Tobias J., 2010. "Heterogeneous treatment effects: Instrumental variables without monotonicity?," Journal of Econometrics, Elsevier, vol. 155(2), pages 99-116, April.
    5. 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.
    6. Sandra E. Black & Paul J. Devereux & Kjell G. Salvanes, 2011. "Too Young to Leave the Nest? The Effects of School Starting Age," The Review of Economics and Statistics, MIT Press, vol. 93(2), pages 455-467, May.
    7. David Deming & Susan Dynarski, 2008. "The Lengthening of Childhood," Journal of Economic Perspectives, American Economic Association, vol. 22(3), pages 71-92, Summer.
    8. Kelly Bedard & Elizabeth Dhuey, 2006. "The Persistence of Early Childhood Maturity: International Evidence of Long-Run Age Effects," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1437-1472.
    9. Patrick J. McEwan & Joseph S. Shapiro, 2008. "The Benefits of Delayed Primary School Enrollment: Discontinuity Estimates Using Exact Birth Dates," Journal of Human Resources, University of Wisconsin Press, vol. 43(1).
    10. Dionissi Aliprantis, 2012. "Redshirting, Compulsory Schooling Laws, and Educational Attainment," Journal of Educational and Behavioral Statistics, , vol. 37(2), pages 316-338, April.
    11. 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.
    12. Rashmi Barua & Kevin Lang, 2009. "School Entry, Educational Attainment and Quarter of Birth: A Cautionary Tale of LATE," NBER Working Papers 15236, National Bureau of Economic Research, Inc.
    13. Mühlenweg, Andrea & Blomeyer, Dorothea & Stichnoth, Holger & Laucht, Manfred, 2012. "Effects of age at school entry (ASE) on the development of non-cognitive skills: Evidence from psychometric data," Economics of Education Review, Elsevier, vol. 31(3), pages 68-76.
    14. Todd E. Elder & Darren H. Lubotsky, 2009. "Kindergarten Entrance Age and Children’s Achievement: Impacts of State Policies, Family Background, and Peers," Journal of Human Resources, University of Wisconsin Press, vol. 44(3).
    15. Datar, Ashlesha, 2006. "Does delaying kindergarten entrance give children a head start?," Economics of Education Review, Elsevier, vol. 25(1), pages 43-62, February.
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