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Missing Treatments

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Author Info
Molinari, Francesca (Cornell U)

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Abstract

The existing literature on treatment e¤ects assumes perfect observability of the treatments received by the population of interest. Even in cases of imperfect compliance, it is usually as- sumed that both the assigned and administered treatment are observed (or missing completely at random). This paper abandons such assumptions. Imperfect observability of the received treatment can arise as a result of survey nonresponse in observational studies, or noncompliance with randomly assigned treatments that are not directly monitored. I study the problem in the context of observational studies. I derive sharp worst case bounds without assuming anything about treatment selection, and I show that the bounds are a function of the available prior information on the distribution of the missing treatments. Under the maintained assumption of monotone treatment response, I show that no prior information on the distribution of missing treatments is necessary to get sharp informative bounds. I apply the methodologies recently proposed by Imbens and Manski (2004) and Chernozhukov, Hong, and Tamer (2004) to derive two types of confidence intervals for the partially identi.ed parameters. The results are illustrated with an empirical analysis of drug use and employment using data from the National Longitudinal Survey of Youth.

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Paper provided by Cornell University, Center for Analytic Economics in its series Working Papers with number 05-11.

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Date of creation: May 2005
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Handle: RePEc:ecl:corcae:05-11

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  1. Kaestner, Robert & Grossman, Michael, 1995. "Wages, Workers' Compensation Benefits, and Drug Use: Indirect Evidence of the Effect of Drugs on Workplace Accidents," American Economic Review, American Economic Association, vol. 85(2), pages 55-60, May. [Downloadable!] (restricted)
  2. Charles A. Register & Donald R. Williams, 1992. "Labor market effects of marijuana and cocaine use among young men," Industrial and Labor Relations Review, ILR Review, ILR School, Cornell University, vol. 45(3), pages 435-451, April.
  3. E. Tamer & V. Chernozhukov & H. Hong, 2004. "Parameter Set Inference in a Class of Econometric Models," Econometric Society 2004 North American Winter Meetings 382, Econometric Society.
  4. Horowitz, Joel L. & Manski, Charles F., 1998. "Censoring of outcomes and regressors due to survey nonresponse: Identification and estimation using weights and imputations," Journal of Econometrics, Elsevier, vol. 84(1), pages 37-58, May. [Downloadable!] (restricted)
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  5. Kaestner, Robert, 1991. "The Effect of Illicit Drug Use on the Wages of Young Adults," Journal of Labor Economics, University of Chicago Press, vol. 9(4), pages 381-412, October. [Downloadable!] (restricted)
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  6. Pizer, William & Imbens, Guido, 2000. "The Analysis of Randomized Experiments with Missing Data," Discussion Papers dp-00-19, Resources For the Future. [Downloadable!]
  7. Andrew M. Gill & Robert J. Michaels, 1992. "Does drug use lower wages?," Industrial and Labor Relations Review, ILR Review, ILR School, Cornell University, vol. 45(3), pages 419-434, April.
  8. Charles F. Manski & John V. Pepper, 2000. "Monotone Instrumental Variables, with an Application to the Returns to Schooling," Econometrica, Econometric Society, vol. 68(4), pages 997-1012, July.
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  9. Juan Carlos Chavez-Martin del Campo, 2004. "Partial Identification of Poverty Measures with Contaminated Data," Econometric Society 2004 Latin American Meetings 221, Econometric Society.
  10. John Mullahy & Jody L. Sindelar, 1995. "Employment, Unemployment, and Problem Drinking," NBER Working Papers 5123, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  11. Horowitz, Joel L & Manski, Charles F, 1995. "Identification and Robustness with Contaminated and Corrupted Data," Econometrica, Econometric Society, vol. 63(2), pages 281-302, March. [Downloadable!] (restricted)
  12. repec:att:wimass:199525 is not listed on IDEAS
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Gundersen, Craig & Kreider, Brent, 2008. "Bounding the Effects of Food Insecurity on Children's Health Outcomes," Staff General Research Papers 13008, Iowa State University, Department of Economics. [Downloadable!]
  2. Arthur Lewbel, 2003. "Estimation of Average Treatment Effects With Misclassification," Boston College Working Papers in Economics 556, Boston College Department of Economics, revised 04 Sep 2006. [Downloadable!]
    Other versions:
  3. Adam Rosen, 2006. "Confidence sets for partially identified parameters that satisfy a finite number of moment inequalities," CeMMAP working papers CWP25/06, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
  4. Christopher R. Bollinger & Barry T. Hirsch, 2005. "Match Bias from Earnings Imputation in the Current Population Survey: The Case of Imperfect Matching," IZA Discussion Papers 1846, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  5. Kreider, Brent & Hill, Steven C., 2005. "Partially Identifying Treatment Effects with an Application to Covering the Uninsured," Staff General Research Papers 12296, Iowa State University, Department of Economics. [Downloadable!]
    Other versions:
  6. Robert P. Sherman & Jeff Dominitz, 2006. "Identification and estimation of bounds on school performance measures: a nonparametric analysis of a mixture model with verification," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(8), pages 1295-1326. [Downloadable!]
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