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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.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0245.

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Date of creation: Nov 1999
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Handle: RePEc:nbr:nberte:0245

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

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Halvorsen, Robert & Palmquist, Raymond, 1980. "The Interpretation of Dummy Variables in Semilogarithmic Equations," American Economic Review, American Economic Association, vol. 70(3), pages 474-75, June. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
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  1. 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. [Downloadable!]
  2. Kamhon Kan & Yen-Ling Lin, 2009. "The labor market effects of national health insurance: evidence from Taiwan," Journal of Population Economics, Springer, vol. 22(2), pages 311-350, April. [Downloadable!] (restricted)
  3. Bruno Amable & Donatella Gatti & Elvire Guillaud, 2008. "How does party fractionalization convey preferences for redistribution in parliamentary democracies?," PSE Working Papers 2008-42, PSE (Ecole normale supérieure). [Downloadable!]
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