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

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  • 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
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    1. 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.
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    5. 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.
    6. 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, January.
    7. 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.
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    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.
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    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).
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    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.
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    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.
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    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.

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    More about this item

    JEL classification:

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

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