Is Monotonicity in an IV and RD Design Testable? No, But You Can Still Check on it
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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- Kevin Lang & Rashmi Barua, 2010.
"School Entry, Educational Attainment and Quarter of Birth: A Cautionary Tale of LATE,"
Boston University - Department of Economics - Working Papers Series
WP2010-019, Boston University - Department of Economics.
- 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.
- Datar, Ashlesha, 2006. "Does delaying kindergarten entrance give children a head start?," Economics of Education Review, Elsevier, vol. 25(1), pages 43-62, February.
- Keane, Michael P., 2010. "Structural vs. atheoretic approaches to econometrics," Journal of Econometrics, Elsevier, vol. 156(1), pages 3-20, May.
- David S. Lee & Thomas Lemieux, 2009.
"Regression Discontinuity Designs in Economics,"
NBER Working Papers
14723, National Bureau of Economic Research, Inc.
- Dionissi Aliprantis, 2010.
"Redshirting, compulsory schooling laws, and educational attainment,"
1012, Federal Reserve Bank of Cleveland.
- Dionissi Aliprantis, 2012. "Redshirting, Compulsory Schooling Laws, and Educational Attainment," Journal of Educational and Behavioral Statistics, American Educational Research Association, vol. 37(2), pages 316-338, April.
- 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).
- 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.
- Mühlenweg, Andrea M. & Blomeyer, Dorothea & Laucht, Manfred, 2011. "Effects of age at school entry (ASE) on the development of non-cognitive skills: Evidence from psychometric data," ZEW Discussion Papers 11-017, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
- Klein, T.J., 2008.
"Heterogeneous Treatment Effects : Instrumental Variables Without Monotonicity?,"
2008-45, Tilburg University, Center for Economic Research.
- Klein, Tobias J., 2010. "Heterogeneous treatment effects: Instrumental variables without monotonicity?," Journal of Econometrics, Elsevier, vol. 155(2), pages 99-116, April.
- Klein, Tobias J., 2007. "Heterogeneous Treatment Effects: Instrumental Variables without Monotonicity?," IZA Discussion Papers 2738, Institute for the Study of Labor (IZA).
- Kelly Bedard & Elizabeth Dhuey, 2006. "The Persistence of Early Childhood Maturity: International Evidence of Long-Run Age Effects," The Quarterly Journal of Economics, Oxford University Press, vol. 121(4), pages 1437-1472.
- Patrick Puhani & Andrea Weber, 2007. "Does the early bird catch the worm?," Empirical Economics, Springer, vol. 32(2), pages 359-386, May.
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