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Calculating marginal effects in models for zero expenditures in household budgets using a Heckman-type correction

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  • Atanu Saha
  • Oral Capps
  • Patrick Byrne
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    Abstract

    Using the Heckamn approach, either in single-equation or multi-equation settings, general expressions are derived for calculating marginal effects and elasticities. In the conventional calculation of marginal effects, terms related to the change in the inverse of Mills ratio are omitted. Using data from the 19877-88 Nationwide Food Consumption Survey, we calculate income and household size elasticities for 12 food commodities. We compare the magnitudes and signs of the elasticities using the conventional expressions of marginal effects and our derived expressions. Bottomline, sizeable differences, especially in single-equation applications, can occur in calculating marginal effects if one fails to account for changes in the inverse of the Mills ratio.

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    Bibliographic Info

    Article provided by Taylor & Francis Journals in its journal Applied Economics.

    Volume (Year): 29 (1997)
    Issue (Month): 10 ()
    Pages: 1311-1316

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    Handle: RePEc:taf:applec:v:29:y:1997:i:10:p:1311-1316

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    1. Heien, Dale & Wessells, Cathy Roheim, 1990. "Demand Systems Estimation with Microdata: A Censored Regression Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(3), pages 365-71, July.
    2. Jensen, Helen H. & Kesavan, T. & Johnson, Stanley R., 1992. "Measuring the Impact of Health Awareness on Food Demand," Staff General Research Papers 11239, Iowa State University, Department of Economics.
    3. Heien, Dale & Durham, Cathy, 1991. "A Test of the Habit Formation Hypothesis Using Household Data," The Review of Economics and Statistics, MIT Press, vol. 73(2), pages 189-99, May.
    4. James Tobin, 1956. "Estimation of Relationships for Limited Dependent Variables," Cowles Foundation Discussion Papers 3R, Cowles Foundation for Research in Economics, Yale University.
    5. Lutz, Steven M. & Smallwood, David M. & Blaylock, James R. & Hama, Mary Y., 1992. "Changes in Food Consumption and Expenditures in American Households During the 1980's," Statistical Bulletin 154791, United States Department of Agriculture, Economic Research Service.
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    Cited by:
    1. Thiele, Silke, 2008. "Elastizitäten der Nachfrage privater Haushalte nach Nahrungsmitteln – Schätzung eines AIDS auf Basis der Einkommens- und Verbrauchsstichprobe 2003," German Journal of Agricultural Economics, Humboldt-Universitaet zu Berlin, Department for Agricultural Economics, vol. 57(5).
    2. Joel Stiebale & Frank Reize, 2008. "The Impact of FDI on Innovation in Target Firms," Ruhr Economic Papers 0050, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    3. Colin Vance, 2006. "Marginal Effects and Significance Testing with Heckman’s Sample Selection Model: A Methodological Note," RWI Discussion Papers 0039, Rheinisch-Westfälisches Institut für Wirtschaftsforschung.
    4. Arrazola, María & de Hevia, José, 2008. "Three measures of returns to education: An illustration for the case of Spain," Economics of Education Review, Elsevier, vol. 27(3), pages 266-275, June.
    5. Prof. Dr. Hesse, Klaus & Dr. Hoffmann, Claudia & Dr. Thiele, Silke, 2002. "Änderungen der Struktur der Nachfrage nach Nahrungs-und Genußmitteln privater Haushalte und deren Bedeutung für die Ernährungs- und Agrarwirtschaft Schleswig-Holsteins," FE Working Papers 0302, Christian-Albrechts-University of Kiel, Department of Food Economics and Consumption Studies.
    6. Joel Stiebale, 2010. "The Impact of Foreign Acquisitions on the Investors‘ R&D Activities – Firm-level Evidence," Ruhr Economic Papers 0161, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    7. Akay, Alpaslan & Tsakas, Elias, 2006. "Second Order Approximation for the Average Marginal Effect of Heckman's Two Step Procedure," Working Papers in Economics 239, University of Gothenburg, Department of Economics.
    8. Rodolfo Hoffmann & Ana Lucia Kassouf, 2005. "Deriving conditional and unconditional marginal effects in log earnings equations estimated by Heckman's procedure," Applied Economics, Taylor & Francis Journals, vol. 37(11), pages 1303-1311.
    9. Colin Vance & Ralf Hedel, 2006. "On the Link between Urban Form and Automobile Use - Evidence from German Survey Data," RWI Discussion Papers 0048, Rheinisch-Westfälisches Institut für Wirtschaftsforschung.
    10. Stiebale, Joel & Reize, Frank, 2011. "The impact of FDI through mergers and acquisitions on innovation in target firms," International Journal of Industrial Organization, Elsevier, vol. 29(2), pages 155-167, March.
    11. Sabourin, David & Baldwin, John R., 2004. "The Effect of Changing Technology Use on Plant Performance in the Canadian Manufacturing Sector," Economic Analysis (EA) Research Paper Series 2004020e, Statistics Canada, Analytical Studies Branch.

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