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A continuous treatment model for estimating a Dose Response Function under endogeneity and heterogeneous response to observable confounders: Description and implementation via the Stata module “ctreatreg”



This paper presents an original econometric model for estimating a Dose Response Function though a regression approach when treatment is continuous, individuals may react heterogeneously to observable confounders and selection-into-treatment may be (potentially) endogenous. After the description of the model, two estimation procedures are set out: one based on OLS under conditional mean independence, and one based on IV under selection endogeneity. The paper goes on by presenting ctreatreg, a author’s user-written Stata routine for an easy implementation of such a model. The paper proceeds by performing a Monte Carlo experiment to test the reliability of the model and of its associated Stata routine. Results show that the model and the Stata routine ctreatreg are both reliable as estimates consistently fit the expected results.

Suggested Citation

  • Giovanni Cerulli, 2012. "A continuous treatment model for estimating a Dose Response Function under endogeneity and heterogeneous response to observable confounders: Description and implementation via the Stata module “ctreat," CERIS Working Paper 201218, Institute for Economic Research on Firms and Growth - Moncalieri (TO) ITALY -NOW- Research Institute on Sustainable Economic Growth - Moncalieri (TO) ITALY.
  • Handle: RePEc:csc:cerisp:201218

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    References listed on IDEAS

    1. Kris Siddharthan & Melissa Ahern & Robert Rosenman, 2000. "Data Envelopment Analysis to determine efficiencies of health maintenance organizations," Health Care Management Science, Springer, vol. 3(1), pages 23-29, January.
    2. Simar, L. & Wilson, P.W., 1999. "Performance of the Bootstrap for DEA Estimators and Iterating the Principle," Papers 0002, Catholique de Louvain - Institut de statistique.
    3. Picazo-Tadeo, Andres J. & Reig-Martinez, Ernest & Hernandez-Sancho, Francesc, 2005. "Directional distance functions and environmental regulation," Resource and Energy Economics, Elsevier, vol. 27(2), pages 131-142, June.
    4. Francesc Hernandez-Sancho & Andres Picazo-Tadeo & Ernest Reig-Martinez, 2000. "Efficiency and Environmental Regulation," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 15(4), pages 365-378, April.
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    More about this item


    :treatment effects; dose response function; continuous treatment; Monte Carlo;

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C87 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Econometric Software
    • D04 - Microeconomics - - General - - - Microeconomic Policy: Formulation; Implementation; Evaluation


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