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Threshold Crossing Models and Bounds on Treatment Effects: A Nonparametric Analysis

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Azeem Shaikh
Edward Vytlacil

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Abstract

This paper considers the evaluation of the average treatment effect of a binary endogenous regressor on a binary outcome when one imposes a threshold crossing model on both the endogenous regressor and the outcome variable but without imposing parametric functional form or distributional assumptions. Without parametric restrictions, the average effect of the binary endogenous variable is not generally point identified. This paper constructs sharp bounds on the average effect of the endogenous variable that exploit the structure of the threshold crossing models and any exclusion restrictions. We also develop methods for inference on the resulting bounds.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0307.

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Date of creation: May 2005
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Handle: RePEc:nbr:nberte:0307

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Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models
C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models

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  1. Edward Vytlacil, 2006. "A Note on Additive Separability and Latent Index Models of Binary Choice: Representation Results," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(4), pages 515-518, 08. [Downloadable!] (restricted)
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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. Cunha, Flavio & Heckman, James & Navarro, Salvador, 2004. "Separating Uncertainty from Heterogeneity in Life Cycle Earnings," IZA Discussion Papers 1437, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  2. Michael Gerfin & Martin Schellhorn, 2006. "Nonparametric bounds on the effect of deductibles in health care insurance on doctor visits - Swiss evidence," Health Economics, John Wiley & Sons, Ltd., vol. 15(9), pages 1011-1020. [Downloadable!]
    Other versions:
  3. Forslund, Anders & Nordström Skans, Oskar, 2006. "Swedish youth labour market policies revisited," Working Paper Series 2006:6, IFAU - Institute for Labour Market Policy Evaluation. [Downloadable!]
    Other versions:
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