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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.

Suggested Citation

  • Marcel Voia & Liqun Wang & Ricardas Zitikis, 2009. "A Distributional Analysis of Treatment Effects on Subpopulations of a Socioeconomic Experiment," Carleton Economic Papers 09-02, Carleton University, Department of Economics, revised 05 Feb 2010.
  • Handle: RePEc:car:carecp:09-02
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    References listed on IDEAS

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    1. 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 322-340, June.
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    4. Heckman, J.J. & Hotz, V.J., 1988. "Choosing Among Alternative Nonexperimental Methods For Estimating The Impact Of Social Programs: The Case Of Manpower Training," University of Chicago - Economics Research Center 88-12, Chicago - Economics Research Center.
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    6. Anderson, Gordon, 1996. "Nonparametric Tests of Stochastic Dominance in Income Distributions," Econometrica, Econometric Society, vol. 64(5), pages 1183-1193, September.
    7. Susan Athey & Guido W. Imbens, 2006. "Identification and Inference in Nonlinear Difference-in-Differences Models," Econometrica, Econometric Society, vol. 74(2), pages 431-497, March.
    8. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
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    12. 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.
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    Keywords

    Stochastic dominance; effective treatment; testing for intersection;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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