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

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

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.

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Paper provided by University of Sydney, School of Economics in its series Working Papers with number 2013-06.

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Date of creation: Apr 2013
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Handle: RePEc:syd:wpaper:2123/9020
Contact details of provider: Postal: Sydney, NSW 2006
Phone: 61 +2 9351 5055
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  1. James J. Heckman & Sergio Urzua & Edward J. Vytlacil, 2006. "Understanding Instrumental Variables in Models with Essential Heterogeneity," NBER Working Papers 12574, National Bureau of Economic Research, Inc.
  2. David Deming & Susan Dynarski, 2008. "The Lengthening of Childhood," NBER Working Papers 14124, National Bureau of Economic Research, Inc.
  3. 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.
  4. 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.
  5. Klein, T.J., 2008. "Heterogeneous Treatment Effects : Instrumental Variables Without Monotonicity?," Discussion Paper 2008-45, Tilburg University, Center for Economic Research.
  6. 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).
  7. Patrick Puhani & Andrea Weber, 2007. "Does the early bird catch the worm?," Empirical Economics, Springer, vol. 32(2), pages 359-386, May.
  8. Datar, Ashlesha, 2006. "Does delaying kindergarten entrance give children a head start?," Economics of Education Review, Elsevier, vol. 25(1), pages 43-62, February.
  9. Keane, Michael P., 2010. "Structural vs. atheoretic approaches to econometrics," Journal of Econometrics, Elsevier, vol. 156(1), pages 3-20, May.
  10. 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.
  11. 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).
  12. repec:tpr:qjecon:v:121:y:2006:i:4:p:1437-1472 is not listed on IDEAS
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