IDEAS home Printed from https://ideas.repec.org/p/lec/leecon/16-02.html
   My bibliography  Save this paper

A Method for Measuring Treatment Effects on the Treated without Randomization

Author

Listed:
  • P. A. V. B. Swamya
  • S. G. Hall
  • G. S. Tavlas
  • I. Chang
  • H. D. Gibson
  • W. H. Greene
  • J. S. Mehta

Abstract

This paper contributes to the literature on the estimation of causal effects by providing an analytical formula for individual specific treatment effects and an empirical methodology that allows us to estimate these effects. We derive the formula from a general model with minimal restrictions, unknown functional form and true unobserved variables such that it is a credible model of the underlying real world relationship. Subsequently, we manipulate the model in order to put it in an estimable form. In contrast to other empirical methodologies, which derive average treatment effects, we derive an analytical formula that provides estimates of treatment effects on each treated individual. We also provide an empirical example that illustrates our methodology.

Suggested Citation

  • P. A. V. B. Swamya & S. G. Hall & G. S. Tavlas & I. Chang & H. D. Gibson & W. H. Greene & J. S. Mehta, 2016. "A Method for Measuring Treatment Effects on the Treated without Randomization," Discussion Papers in Economics 16/02, Division of Economics, School of Business, University of Leicester.
    • Handle: RePEc:lec:leecon:16/02
    as

    Download full text from publisher

    File URL: https://www.le.ac.uk/economics/research/RePEc/lec/leecon/dp16-02.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Basmann, R. L., 1988. "Causality tests and observationally equivalent representations of econometric models," Journal of Econometrics, Elsevier, vol. 39(1-2), pages 69-104.
    2. Schwaab, Bernd & Eser, Fabian, 2013. "Assessing asset purchases within the ECB’s securities markets programme," Working Paper Series 1587, European Central Bank.
    3. Eric Ghysels & Julien Idier & Simone Manganelli & Olivier Vergote, 2017. "A High-Frequency assessment of the ECB Securities Markets Programme," Journal of the European Economic Association, European Economic Association, vol. 15(1), pages 218-243.
    4. Heckman, James J. & Schmierer, Daniel, 2010. "Tests of hypotheses arising in the correlated random coefficient model," Economic Modelling, Elsevier, vol. 27(6), pages 1355-1367, November.
    5. Zellner, Arnold, 1979. "Causality and econometrics," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 10(1), pages 9-54, January.
    6. Skyrms, Brian, 1988. "Probability and causation," Journal of Econometrics, Elsevier, vol. 39(1-2), pages 53-68.
    7. P.A.V.B. Swamy & George S. Tavlas & Stephen G. Hall, 2015. "On the Interpretation of Instrumental Variables in the Presence of Specification Errors," Econometrics, MDPI, vol. 3(1), pages 1-10, January.
    8. Pratt, John W. & Schlaifer, Robert, 1988. "On the interpretation and observation of laws," Journal of Econometrics, Elsevier, vol. 39(1-2), pages 23-52.
    9. Philippine Cour-Thimann & Bernhard Winkler, 2012. "The ECB’s non-standard monetary policy measures: the role of institutional factors and financial structure," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 28(4), pages 765-803, WINTER.
    10. Swamy P. A. V. B. & Tavlas George S & Hall Stephen G. F. & Hondroyiannis George, 2010. "Estimation of Parameters in the Presence of Model Misspecification and Measurement Error," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(3), pages 1-35, May.
    11. Jochmann, Markus & Koop, Gary & Strachan, Rodney W., 2010. "Bayesian forecasting using stochastic search variable selection in a VAR subject to breaks," International Journal of Forecasting, Elsevier, vol. 26(2), pages 326-347, April.
    12. Jun Ma & Mark Wohar (ed.), 2014. "Recent Advances in Estimating Nonlinear Models," Springer Books, Springer, edition 127, number 978-1-4614-8060-0, September.
    13. Granger Clive W.J., 2008. "Non-Linear Models: Where Do We Go Next - Time Varying Parameter Models?," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(3), pages 1-11, September.
    14. Swamy, P.A.V.B. & Mehta, J.S. & Tavlas, G.S. & Hall, S.G., 2015. "Two applications of the random coefficient procedure: Correcting for misspecifications in a small area level model and resolving Simpson's paradox," Economic Modelling, Elsevier, vol. 45(C), pages 93-98.
    15. George, Edward I. & Sun, Dongchu & Ni, Shawn, 2008. "Bayesian stochastic search for VAR model restrictions," Journal of Econometrics, Elsevier, vol. 142(1), pages 553-580, January.
    16. I-Lok Chang & P.A.V.B. Swamy & Charles Hallahan & George S. Tavlas, 2000. "A Computational Approach to Finding Causal Economic Laws," Computational Economics, Springer;Society for Computational Economics, vol. 16(1/2), pages 105-136, October.
    17. Pearl Judea, 2010. "An Introduction to Causal Inference," The International Journal of Biostatistics, De Gruyter, vol. 6(2), pages 1-62, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. P.A.V.B. Swamy & Jatinder S. Mehta & I-Lok Chang, 2017. "Endogeneity, Time-Varying Coefficients, and Incorrect vs. Correct Ways of Specifying the Error Terms of Econometric Models," Econometrics, MDPI, vol. 5(1), pages 1-17, February.
    2. Gibson, Heather D. & Hall, Stephen G. & Tavlas, George S., 2017. "Self-fulfilling dynamics: The interactions of sovereign spreads, sovereign ratings and bank ratings during the euro financial crisis," Journal of International Money and Finance, Elsevier, vol. 73(PB), pages 371-385.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Swamy Paravastu & Peter Muehlen & Jatinder Singh Mehta & I-Lok Chang, 2022. "The State Of Econometrics After John W. Pratt, Robert Schlaifer, Brian Skyrms, And Robert L. Basmann," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 627-654, November.
    2. Hall, Stephen G. & Swamy, P. A. V. B. & Tavlas, George S., 2017. "Time-Varying Coefficient Models: A Proposal For Selecting The Coefficient Driver Sets," Macroeconomic Dynamics, Cambridge University Press, vol. 21(5), pages 1158-1174, July.
    3. P.A.V.B. Swamy & I-Lok Chang & Jatinder S. Mehta & William H. Greene & Stephen G. Hall & George S. Tavlas, 2016. "Removing Specification Errors from the Usual Formulation of Binary Choice Models," Econometrics, MDPI, vol. 4(2), pages 1-21, June.
    4. Stephen Hall & P. Swamy & George Tavlas, 2012. "Generalized cointegration: a new concept with an application to health expenditure and health outcomes," Empirical Economics, Springer, vol. 42(2), pages 603-618, April.
    5. Stephen Hall & George Hondroyiannis & P. Swamy & George Tavlas, 2010. "The Fisher Effect Puzzle: A Case of Non-Linear Relationship?," Open Economies Review, Springer, vol. 21(1), pages 91-103, February.
    6. Swamy, P.A.V.B. & Mehta, J.S. & Tavlas, G.S. & Hall, S.G., 2015. "Two applications of the random coefficient procedure: Correcting for misspecifications in a small area level model and resolving Simpson's paradox," Economic Modelling, Elsevier, vol. 45(C), pages 93-98.
    7. P. Swamy & Stephen Hall, 2012. "Measurement of causal effects," Economic Change and Restructuring, Springer, vol. 45(1), pages 3-23, February.
    8. Stephen G. Hall & Heather D. Gibson & G. S. Tavlas & Mike G. Tsionas, 2020. "A Monte Carlo Study of Time Varying Coefficient (TVC) Estimation," Computational Economics, Springer;Society for Computational Economics, vol. 56(1), pages 115-130, June.
    9. P. Swamy & George Tavlas, 2007. "The New Keynesian Phillips Curve and Inflation Expectations: Re-Specification and Interpretation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 293-306, May.
    10. Hall, Stephen G. & Hondroyiannis, George & Swamy, P.A.V.B. & Tavlas, George S., 2009. "Assessing the causal relationship between euro-area money and prices in a time-varying environment," Economic Modelling, Elsevier, vol. 26(4), pages 760-766, July.
    11. Swamy P. A. V. B. & Tavlas George S & Hall Stephen G. F. & Hondroyiannis George, 2010. "Estimation of Parameters in the Presence of Model Misspecification and Measurement Error," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(3), pages 1-35, May.
    12. P.A.V.B. Swamy & Jatinder S. Mehta & I-Lok Chang, 2017. "Endogeneity, Time-Varying Coefficients, and Incorrect vs. Correct Ways of Specifying the Error Terms of Econometric Models," Econometrics, MDPI, vol. 5(1), pages 1-17, February.
    13. Swamy, P.A.V.B. & Yaghi, Wisam & Mehta, Jatinder S. & Chang, I-Lok, 2007. "Empirical best linear unbiased prediction in misspecified and improved panel data models with an application to gasoline demand," Computational Statistics & Data Analysis, Elsevier, vol. 51(7), pages 3381-3392, April.
    14. Gibson, Heather D. & Hall, Stephen G. & Tavlas, George S., 2016. "The effectiveness of the ECB's asset purchase programs of 2009 to 2012," Journal of Macroeconomics, Elsevier, vol. 47(PA), pages 45-57.
    15. Swamy, P.A.V.B. & Tavlas, George S. & Chang, I-Lok, 2005. "How stable are monetary policy rules: estimating the time-varying coefficients in monetary policy reaction function for the US," Computational Statistics & Data Analysis, Elsevier, vol. 49(2), pages 575-590, April.
    16. Hall, Stephen G. & Kenjegaliev, Amangeldi & Swamy, P.A.V.B. & Tavlas, George S., 2013. "Measuring currency pressures: The cases of the Japanese yen, the Chinese yuan, and the UK pound," Journal of the Japanese and International Economies, Elsevier, vol. 29(C), pages 1-20.
    17. Jakob Korbinian Eberl, 2016. "The Collateral Framework of the Eurosystem and Its Fiscal Implications," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 69.
    18. Hondroyiannis, George & Swamy, P. A. V. B. & Tavlas, George S., 2001. "Modelling the long-run demand for money in the United Kingdom: a random coefficient analysis," Economic Modelling, Elsevier, vol. 18(3), pages 475-501, August.
    19. Afonso, António & Arghyrou, Michael G. & Gadea, María Dolores & Kontonikas, Alexandros, 2018. "“Whatever it takes” to resolve the European sovereign debt crisis? Bond pricing regime switches and monetary policy effects," Journal of International Money and Finance, Elsevier, vol. 86(C), pages 1-30.
    20. Kerstin Bernoth & Marcel Fratzscher & Philipp König, 2014. "Schwache Preisentwicklung und Deflationsgefahr im Euroraum: Grenzen der konventionellen Geldpolitik," DIW Wochenbericht, DIW Berlin, German Institute for Economic Research, vol. 81(12), pages 235-249.

    More about this item

    Keywords

    Causality; Real-world relationship; Unique error term; Treatment effect; Non-experimental situation;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:lec:leecon:16/02. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Abbie Sleath (email available below). General contact details of provider: https://edirc.repec.org/data/deleiuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.