IDEAS home Printed from https://ideas.repec.org/a/zbw/espost/129079.html
   My bibliography  Save this article

Interpreting the Outcomes of two-part models

Author

Listed:
  • Frondel, Manuel
  • Vance, Colin

Abstract

Interaction effects capture the impact of one explanatory variable x 1 on the marginal effect of another explanatory variable x 2. To explore interaction effects, the so-called interaction terms x 1 x 2 are typically included in estimation specifications. While in linear models the effect of a marginal change in the interaction term is equal to the interaction effect, this equality generally does not hold in nonlinear specifications (Ai and Norton, 2003). This article provides for a general derivation of marginal and interaction effects in both linear and nonlinear models and calculates the formulae of the marginal and interaction effects resulting from the Two-Part Model (2PM), a commonly employed censored regression model. Drawing on a survey of automobile use from Germany, we illustrate several subtleties inherent to the substantive interpretation of interaction effects gleaned from nonlinear models, such as the 2PM.

Suggested Citation

  • Frondel, Manuel & Vance, Colin, 2012. "Interpreting the Outcomes of two-part models," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 19(10), pages 987-992.
    • Handle: RePEc:zbw:espost:129079
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/129079/1/Frondel_2012_Interpreting%20the%20Outcomes%20of%20two-part%20models.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Edward C. Norton & Hua Wang & Chunrong Ai, 2004. "Computing interaction effects and standard errors in logit and probit models," Stata Journal, StataCorp LP, vol. 4(2), pages 154-167, June.
    2. Frondel, Manuel & Vance, Colin, 2010. "Driving for fun? Comparing the effect of fuel prices on weekday and weekend fuel consumption," Energy Economics, Elsevier, vol. 32(1), pages 102-109, January.
    3. Manuel Frondel & Jorg Peters & Colin Vance, 2008. "Identifying the Rebound: Evidence from a German Household Panel," The Energy Journal, International Association for Energy Economics, vol. 0(Number 4), pages 145-164.
    4. Ai, Chunrong & Norton, Edward C., 2003. "Interaction terms in logit and probit models," Economics Letters, Elsevier, vol. 80(1), pages 123-129, July.
    5. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    6. Manuel Frondel & Colin Vance, 2009. "Do High Oil Prices Matter? Evidence on the Mobility Behavior of German Households," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 43(1), pages 81-94, May.
    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. Colin Vance & Nolan Ritter, 2013. "Is Peace a Missing Value or a Zero?," Ruhr Economic Papers 0466, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    2. Yongliang Yang & Liwen Shen & Yuwen Li & Yi Li, 2022. "The Impact of Environmental Information Disclosure on Environmental Governance Satisfaction," Sustainability, MDPI, vol. 14(13), pages 1-21, June.
    3. repec:zbw:rwirep:0466 is not listed on IDEAS
    4. Frondel, Manuel & Simora, Michael & Sommer, Stephan, 2017. "Risk Perception of Climate Change: Empirical Evidence for Germany," Ecological Economics, Elsevier, vol. 137(C), pages 173-183.
    5. Vance, Colin & Ritter, Nolan, 2013. "Is Peace a Missing Value or a Zero?," Ruhr Economic Papers 466, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    6. Behl, Peter & Dette, Holger & Frondel, Manuel & Tauchmann, Harald, 2013. "Energy substitution: When model selection depends on the focus," Energy Economics, Elsevier, vol. 39(C), pages 233-238.
    7. William A. Darity Jr. & Darrick Hamilton & Samuel L. Myers Jr. & Gregory N. Price & Man Xu, 2022. "Racial Differences in Time at Work Not Working," ILR Review, Cornell University, ILR School, vol. 75(3), pages 552-572, May.

    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. Frondel Manuel & Vance Colin, 2013. "On Interaction Effects: The Case of Heckit and Two-Part Models," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 233(1), pages 22-38, February.
    2. Manuel Frondel & Colin Vance, 2012. "On Interaction Effects: The Case of Heckit and Two-Part Models," Ruhr Economic Papers 0309, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    3. repec:zbw:rwirep:0309 is not listed on IDEAS
    4. Frondel, Manuel & Vance, Colin, 2009. "On Marginal and Interaction Effects: The Case of Heckit and Two-Part Models," Ruhr Economic Papers 138, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    5. Manurl Frondel & Colin Vance, 2009. "On Marginal and Interaction Effects: The Case of Heckit and Two-Part Models," Ruhr Economic Papers 0138, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    6. repec:zbw:rwirep:0138 is not listed on IDEAS
    7. repec:zbw:rwirep:0209 is not listed on IDEAS
    8. Chevassus-Lozza, Emmanuelle & Gaigné, Carl & Le Mener, Léo, 2013. "Does input trade liberalization boost downstream firms' exports? Theory and firm-level evidence," Journal of International Economics, Elsevier, vol. 90(2), pages 391-402.
    9. Manuel Frondel & Colin Vance, 2009. "Driving for Fun? – A Comparison of Weekdays and Weekend Travel," Ruhr Economic Papers 0103, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    10. Frondel, Manuel & Vance, Colin, 2011. "Rarely enjoyed? A count data analysis of ridership in Germany's public transport," Transport Policy, Elsevier, vol. 18(2), pages 425-433, March.
    11. Manuel Frondel & Colin Vance, 2010. "A Count Data Analysis of Ridership in Germany’s Public Transport," Ruhr Economic Papers 0209, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    12. Raschky, Paul A. & Schwindt, Manijeh, 2012. "On the channel and type of aid: The case of international disaster assistance," European Journal of Political Economy, Elsevier, vol. 28(1), pages 119-131.
    13. Wang, Jianxin & Yuan, Caiyun & Zhang, Qian & Houser, Daniel, 2023. "Parents’ absence harms norm obedience of girls more than boys," Journal of Economic Behavior & Organization, Elsevier, vol. 214(C), pages 17-29.
    14. Frondel, Manuel & Vance, Colin, 2009. "Driving for Fun? – A Comparison of Weekdays and Weekend Travel," Ruhr Economic Papers 103, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    15. Pape, Andreas Duus & Seo, Misuk, 2015. "Reports of Water Quality Violations Induce Consumers to Buy Bottled Water," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 44(1), pages 1-16, April.
    16. Tovar, Miguel A., 2011. "An integral evaluation of dieselisation policies for households' cars," Energy Policy, Elsevier, vol. 39(9), pages 5228-5242, September.
    17. Frondel, Manuel & Vance, Colin, 2010. "Driving for fun? Comparing the effect of fuel prices on weekday and weekend fuel consumption," Energy Economics, Elsevier, vol. 32(1), pages 102-109, January.
    18. Grimes, Matthew G. & Gehman, Joel & Cao, Ke, 2018. "Positively deviant: Identity work through B Corporation certification," Journal of Business Venturing, Elsevier, vol. 33(2), pages 130-148.
    19. Yang, Jun & Lu, Jing & Xiang, Cheng, 2020. "Do disclosures of selective access improve market information acquisition fairness? Evidence from company visits in China," Journal of Corporate Finance, Elsevier, vol. 64(C).
    20. repec:zbw:rwirep:0103 is not listed on IDEAS
    21. Zvonimir Bašić & Parampreet C. Bindra & Daniela Glätzle-Rützler & Angelo Romano & Matthias Sutter & Claudia Zoller, 2021. "The Roots of Cooperation," ECONtribute Discussion Papers Series 097, University of Bonn and University of Cologne, Germany.
    22. Sakaue, Katsuki, 2018. "Informal fee charge and school choice under a free primary education policy: Panel data evidence from rural Uganda," International Journal of Educational Development, Elsevier, vol. 62(C), pages 112-127.
    23. Carolin Bock & Maximilian Schmidt, 2015. "Should I stay, or should I go? – How fund dynamics influence venture capital exit decisions," Review of Financial Economics, John Wiley & Sons, vol. 27(1), pages 68-82, November.
    24. Chenxi Zhou & Jinhong Xie & Qi Wang, 2016. "Failure to Complete Cross-Border M&As: “To” vs. “From” Emerging Markets," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 47(9), pages 1077-1105, December.

    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:zbw:espost:129079. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/zbwkide.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.