IDEAS home Printed from https://ideas.repec.org/p/nbr/nberte/0245.html
   My bibliography  Save this paper

Interaction Effects and Difference-in-Difference Estimation in Loglinear Models

Author

Listed:
  • John Mullahy

Abstract

In applied econometric work, analysts are concerned often with estimation of and inferences about interaction effects, e.g. 'Does the magnitude of the effect of z1 on y depend on z2? ' This paper develops tests for and proper interpretation of various forms of interaction effects in one prominent class of regression models loglinear models for which the nature of estimated interaction effects has not always been given due attention. The results obtained here have a direct bearing on the interpretation of so-called difference-in-difference estimates when these are obtained using loglinear models. An empirical example of the impacts of health insurance and chronic illness on prescription drug utilization underscores the importance of these issues in practical settings.

Suggested Citation

  • John Mullahy, 1999. "Interaction Effects and Difference-in-Difference Estimation in Loglinear Models," NBER Technical Working Papers 0245, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberte:0245
    Note: TWP
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/t0245.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mullahy, John, 1998. "Much ado about two: reconsidering retransformation and the two-part model in health econometrics," Journal of Health Economics, Elsevier, vol. 17(3), pages 247-281, June.
    2. John Mullahy, 1998. "Much Ado About Two: Reconsidering Retransformation and the Two-Part Model in Health Economics," NBER Technical Working Papers 0228, National Bureau of Economic Research, Inc.
    3. Barnett,William A. & Powell,James & Tauchen,George E. (ed.), 1991. "Nonparametric and Semiparametric Methods in Econometrics and Statistics," Cambridge Books, Cambridge University Press, number 9780521424318.
    4. Wedig, Gerard J., 1988. "Health status and the demand for health : Results on price elasticities," Journal of Health Economics, Elsevier, vol. 7(2), pages 151-163, June.
    5. Halvorsen, Robert & Palmquist, Raymond, 1980. "The Interpretation of Dummy Variables in Semilogarithmic Equations," American Economic Review, American Economic Association, vol. 70(3), pages 474-475, June.
    6. James Heckman, 1997. "Instrumental Variables: A Study of Implicit Behavioral Assumptions Used in Making Program Evaluations," Journal of Human Resources, University of Wisconsin Press, vol. 32(3), pages 441-462.
    7. Barnett,William A. & Powell,James & Tauchen,George E. (ed.), 1991. "Nonparametric and Semiparametric Methods in Econometrics and Statistics," Cambridge Books, Cambridge University Press, number 9780521370905.
    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. Bruno Amable & Donatella Gatti & Elvire Guillaud, 2008. "How does Party Fractionalization convey Preferences for Redistribution in Parliamentary Democracies ?," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00348878, HAL.
    2. Pietro Biroli & Titus J. Galama & Stephanie von Hinke & Hans van Kippersluis & Cornelius A. Rietveld & Kevin Thom, 2022. "The Economics and Econometrics of Gene-Environment Interplay," Papers 2203.00729, arXiv.org.
    3. Ciani Emanuele & Fisher Paul, 2019. "Dif-in-Dif Estimators of Multiplicative Treatment Effects," Journal of Econometric Methods, De Gruyter, vol. 8(1), pages 1-10, January.
    4. Lesley Chiou & Catherine Tucker, 2012. "How Does the Use of Trademarks by Third-Party Sellers Affect Online Search?," Marketing Science, INFORMS, vol. 31(5), pages 819-837, September.
    5. Hagedoorn, John & Wang, Ning, 2010. "Is there complementarity or substitutability between internal and external R&D strategies?," MERIT Working Papers 2010-005, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    6. Chiou, Lesley & Tucker, Catherine, 2013. "Paywalls and the demand for news," Information Economics and Policy, Elsevier, vol. 25(2), pages 61-69.
    7. Kamhon Kan & Yen-Ling Lin, 2009. "The labor market effects of national health insurance: evidence from Taiwan," Journal of Population Economics, Springer;European Society for Population Economics, vol. 22(2), pages 311-350, April.
    8. Edith Duclos & Pierre Lefebvre & Philip Merrigan, 2001. "A 'Natural Experiment' on the Economics of Storks: Evidence on the Impact of Differential Family Policy on Fertility Rates in Canada," Cahiers de recherche CREFE / CREFE Working Papers 136, CREFE, Université du Québec à Montréal.
    9. Ina Jäkel, 2014. "Import-push or export-pull? An industry-level analysis of the impact of trade on firm exit," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 41(4), pages 747-775, November.
    10. Leandro D’Aurizio & Domenico Depalo, 2016. "An Evaluation of the Policies on Repayment of Government’s Trade Debt in Italy," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 2(2), pages 167-196, July.
    11. Lavallée, Emmanuelle & Lochard, Julie, 2015. "The comparative effects of independence on trade," Journal of Comparative Economics, Elsevier, vol. 43(3), pages 613-632.
    12. Barkowski, Scott, 2021. "Interpretation of nonlinear difference-in-differences: the role of the parallel trends assumption," MPRA Paper 108975, University Library of Munich, Germany.
    13. Bauer, Thomas K. & Haisken-DeNew, John P., 2001. "Employer learning and the returns to schooling," Labour Economics, Elsevier, vol. 8(2), pages 161-180, May.
    14. Michael Lechner, 2002. "Mikroökonometrische Evaluation arbeitsmarktpolitischer Massnahmen," University of St. Gallen Department of Economics working paper series 2002 2002-20, Department of Economics, University of St. Gallen.
    15. Lesley Chiou & Catherine Tucker, 2018. "Fake News and Advertising on Social Media: A Study of the Anti-Vaccination Movement," NBER Working Papers 25223, National Bureau of Economic Research, Inc.

    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. Luiz Flavio Andrade & Thomas Rapp & Christine Sevilla-Dedieu, 2016. "Exploring the determinants of endocrinologist visits by patients with diabetes," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 17(9), pages 1173-1184, December.
    2. Emma Aisbett & Matthias Busse & Peter Nunnenkamp, 2018. "Bilateral investment treaties as deterrents of host-country discretion: the impact of investor-state disputes on foreign direct investment in developing countries," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 154(1), pages 119-155, February.
    3. Victor Aguirregabiria, 2006. "Another Look at the Identification of Dynamic Discrete Decision Processes: With an Application to Retirement Behavior," 2006 Meeting Papers 169, Society for Economic Dynamics.
    4. Lanot, Gauthier & Walker, Ian, 1998. "The union/non-union wage differential: An application of semi-parametric methods," Journal of Econometrics, Elsevier, vol. 84(2), pages 327-349, June.
    5. Patrick Richard & Regine Walker & Pierre Alexandre, 2018. "The burden of out of pocket costs and medical debt faced by households with chronic health conditions in the United States," PLOS ONE, Public Library of Science, vol. 13(6), pages 1-13, June.
    6. Silva João M. C. Santos & Tenreyro Silvana & Windmeijer Frank, 2015. "Testing Competing Models for Non-negative Data with Many Zeros," Journal of Econometric Methods, De Gruyter, vol. 4(1), pages 1-18, January.
    7. Lih-Wen Mau & Jaime M. Preussler & Linda J. Burns & Susan Leppke & Navneet S. Majhail & Christa L. Meyer & Tatenda Mupfudze & Wael Saber & Patricia Steinert & David J. Vanness, 2020. "Healthcare Costs of Treating Privately Insured Patients with Acute Myeloid Leukemia in the United States from 2004 to 2014: A Generalized Additive Modeling Approach," PharmacoEconomics, Springer, vol. 38(5), pages 515-526, May.
    8. P. Kearns & A.R. Pagan, 1993. "Australian Stock Market Volatility: 1875–1987," The Economic Record, The Economic Society of Australia, vol. 69(2), pages 163-178, June.
    9. Buntin, Melinda Beeuwkes & Zaslavsky, Alan M., 2004. "Too much ado about two-part models and transformation?: Comparing methods of modeling Medicare expenditures," Journal of Health Economics, Elsevier, vol. 23(3), pages 525-542, May.
    10. Victor Chernozhukov & Iván Fernández‐Val & Blaise Melly, 2013. "Inference on Counterfactual Distributions," Econometrica, Econometric Society, vol. 81(6), pages 2205-2268, November.
    11. SCHAFGANS, Marcia M.A. & ZINDE-WALSH, Victoria, 2007. "Robust Average Derivative Estimation," Cahiers de recherche 12-2007, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    12. Hartwig, Benny & Meinerding, Christoph & Schüler, Yves S., 2021. "Identifying indicators of systemic risk," Journal of International Economics, Elsevier, vol. 132(C).
    13. Charlier, Erwin & Melenberg, Bertrand & van Soest, Arthur, 2000. "Estimation of a censored regression panel data model using conditional moment restrictions efficiently," Journal of Econometrics, Elsevier, vol. 95(1), pages 25-56, March.
    14. Stefan Boes & Michael Gerfin, 2016. "Does Full Insurance Increase the Demand for Health Care?," Health Economics, John Wiley & Sons, Ltd., vol. 25(11), pages 1483-1496, November.
    15. Yingcun Xia & Wolfgang Härdle & Oliver Linton, 2009. "Optimal Smoothing for a Computationally and Statistically Efficient Single Index Estimator," SFB 649 Discussion Papers SFB649DP2009-028, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    16. Scharadin, Benjamin, 2022. "The efficacy of the dependent care deduction at maintaining diet quality," Food Policy, Elsevier, vol. 107(C).
    17. George J. Jiang & Pieter J. van der Sluis, 1999. "Index Option Pricing Models with Stochastic Volatility and Stochastic Interest Rates," Review of Finance, European Finance Association, vol. 3(3), pages 273-310.
    18. McMillen, Daniel P., 2001. "Nonparametric Employment Subcenter Identification," Journal of Urban Economics, Elsevier, vol. 50(3), pages 448-473, November.
    19. Alexander Chudik & George Kapetanios & M. Hashem Pesaran, 2016. "Big Data Analytics: A New Perspective," CESifo Working Paper Series 5824, CESifo.
    20. Breinlich, Holger & Tucci, Alessandra, 2008. "Foreign Market Conditions and Export Performance: Evidence from Italian Firm-Level Data," Economics Discussion Papers 2715, University of Essex, Department of Economics.

    More about this item

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • I1 - Health, Education, and Welfare - - Health

    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:nbr:nberte:0245. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.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.