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A Distributional Analysis of Treatment Effects on Subpopulations of a Socioeconomic Experiment

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Abstract

When analyzing treatment effects, the average treatment value is frequently compared to that of the control group. This approach, naturally, is not particularly informative about specifc regions of the treatment and control distributions. For this reason and having in view a specifc application, in the present paper we consider tests that provide us with more detailed analysis of treatments and their effectiveness. The tests are based on comparing the treatment and control distributions (e.g., whether they are equal, one dominates another, or intersect) over their entire or partial domains of definition. The test of intersection of distributions is introduced in the paper with the scope of pinpointing the region of the tested distribution that is subject to an adverse treatment effect. We illustrate the tests on a simulation study which is based on a matched data and apply them to analyze the Pennsylvania Bonus Experiment.

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Bibliographic Info

Paper provided by Carleton University, Department of Economics in its series Carleton Economic Papers with number 09-02.

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Length: 25 pages
Date of creation: 23 Apr 2009
Date of revision: 05 Feb 2010
Publication status: Published: Carleton Economic Papers
Handle: RePEc:car:carecp:09-02

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Keywords: Stochastic dominance; effective treatment; testing for intersection;

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  1. Davidson, R. & Duclos, J.-Y., 1998. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," G.R.E.Q.A.M. 98a14, Universite Aix-Marseille III.
  2. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
  3. Schmid, Friedrich & Trede, Mark, 1998. "A Kolmogorov-type test for second-order stochastic dominance," Statistics & Probability Letters, Elsevier, vol. 37(2), pages 183-193, February.
  4. Yannis Bilias & Roger Koenker, 2001. "Quantile regression for duration data: A reappraisal of the Pennsylvania Reemployment Bonus Experiments," Empirical Economics, Springer, vol. 26(1), pages 199-220.
  5. Paul T. Decker & Robert B. Olsen & Lance Freeman & Daniel H. Klepinger, 2000. "Assisting Unemployment Insurance Claimants: The Long-Term Impacts of the Job Search Assistance Demonstration. Data Set," Mathematica Policy Research Reports 4174, Mathematica Policy Research.
  6. Meyer, Bruce D & Viscusi, W Kip & Durbin, David L, 1995. "Workers' Compensation and Injury Duration: Evidence from a Natural Experiment," American Economic Review, American Economic Association, vol. 85(3), pages 322-40, June.
  7. Thomas Fraker & Rebecca Maynard, 1987. "The Adequacy of Comparison Group Designs for Evaluations of Employment-Related Programs," Journal of Human Resources, University of Wisconsin Press, vol. 22(2), pages 194-227.
  8. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-93, September.
  9. Jean-Marie Dufour, 1997. "Some Impossibility Theorems in Econometrics with Applications to Structural and Dynamic Models," Econometrica, Econometric Society, vol. 65(6), pages 1365-1388, November.
  10. Paul T. Decker & Robert B. Olsen & Lance Freeman & Daniel H. Klepinger, 2000. "Assisting Unemployment Insurance Claimants: The Long-Term Impacts of the Job Search Assistance Demonstration," Mathematica Policy Research Reports 2588, Mathematica Policy Research.
  11. James J. Heckman, 1989. "Choosing Among Alternative Nonexperimental Methods for Estimating the Impact of Social Programs: The Case of Manpower Training," NBER Working Papers 2861, National Bureau of Economic Research, Inc.
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