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Semiparametric bounds on treatment effects

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  • Chiburis, Richard C.
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    Abstract

    We present a variety of semiparametric models that produce bounds on the average causal effect of a binary treatment on a binary outcome. The semiparametric assumptions exploit variation in observable covariates to narrow the bounds. In our main model, the outcome is determined by a generalized linear model, but the treatment may be arbitrarily endogenous. Our bounding strategy does not require the existence of an instrument, but incorporating an instrument narrows the bounds. The bounds are further improved by combining the semiparametric model with the joint threshold-crossing assumption of Shaikh and Vytlacil (2005).

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Econometrics.

    Volume (Year): 159 (2010)
    Issue (Month): 2 (December)
    Pages: 267-275

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    Handle: RePEc:eee:econom:v:159:y:2010:i:2:p:267-275

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    Web page: http://www.elsevier.com/locate/jeconom

    Related research

    Keywords: Program evaluation Selection bias Threshold-crossing model Linear index Binary response Discrete endogenous variable;

    References

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    1. Victor Chernozhukov & Sokbae 'Simon' Lee & Adam Rosen, 2009. "Intersection Bounds: estimation and inference," CeMMAP working papers CWP19/09, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    2. Beresteanu, Arie & Molinari, Francesca, 2006. "Asymptotic Properties for a Class of Partially Identified Models," Working Papers 06-04, Duke University, Department of Economics.
    3. James J. Heckman & Edward J. Vytlacil, 2000. "Local Instrumental Variables," NBER Technical Working Papers 0252, National Bureau of Economic Research, Inc.
    4. Canay, Ivan A., 2010. "EL inference for partially identified models: Large deviations optimality and bootstrap validity," Journal of Econometrics, Elsevier, vol. 156(2), pages 408-425, June.
    5. 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.
    6. Puhani, Patrick A, 2000. " The Heckman Correction for Sample Selection and Its Critique," Journal of Economic Surveys, Wiley Blackwell, vol. 14(1), pages 53-68, February.
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    8. Edward Vytlacil, 2002. "Independence, Monotonicity, and Latent Index Models: An Equivalence Result," Econometrica, Econometric Society, vol. 70(1), pages 331-341, January.
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    16. Wilde, Joachim, 2000. "Identification of multiple equation probit models with endogenous dummy regressors," Economics Letters, Elsevier, vol. 69(3), pages 309-312, December.
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    19. Charles F. Manski, 1997. "Monotone Treatment Response," Econometrica, Econometric Society, vol. 65(6), pages 1311-1334, November.
    20. Andrew Chesher, 2003. "Nonparametric identification under discrete variation," CeMMAP working papers CWP19/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
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    25. Fan, Yanqin & Park, Sang Soo, 2009. "Partial identification of the distribution of treatment effects and its confidence sets," MPRA Paper 37148, University Library of Munich, Germany.
    26. Manski, Charles F, 1990. "Nonparametric Bounds on Treatment Effects," American Economic Review, American Economic Association, vol. 80(2), pages 319-23, May.
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    Cited by:
    1. Peckham, Janet G. & Kropp, Jaclyn D., 2012. "Are National School Lunch Program Participants More Likely to be Obese? Dealing with Identification," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 124905, Agricultural and Applied Economics Association.
    2. Marc Henry & Ismael Mourifie, 2014. "Sharp Bounds in the Binary Roy Model," Working Papers tecipa-506, University of Toronto, Department of Economics.
    3. Martin Huber & Giovanni Mellace, 2010. "Sharp IV bounds on average treatment effects under endogeneity and noncompliance," University of St. Gallen Department of Economics working paper series 2010 2010-31, Department of Economics, University of St. Gallen.
    4. Jay Bhattacharya & Azeem Shaikh & Edward Vytlacil, 2005. "Treatment Effect Bounds: An Application to Swan-Ganz Catheterization," NBER Working Papers 11263, National Bureau of Economic Research, Inc.
    5. Sung Jae Jun & Joris Pinkse & Haiqing Xu & Nese Yildiz, 2012. "Identification of treatment effects in a triangular system of equations," Department of Economics Working Papers 130910, The University of Texas at Austin, Department of Economics, revised Oct 2012.
    6. Kevin E. Staub, 2010. "A causal interpretation of extensive and intensive margin effects in generalized Tobit models," SOI - Working Papers 1012, Socioeconomic Institute - University of Zurich.

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