IDEAS home Printed from https://ideas.repec.org/p/inn/wpaper/2009-02.html
   My bibliography  Save this paper

Fractional Response Models - A Replication Exercise of Papke and Wooldridge (1996)

Author

Listed:
  • Harald Oberhofer
  • Michael Pfaffermayr

Abstract

This paper replicates the estimates of a fractional response model for share data reported in the seminal paper of Leslie E. Papke and Jeffrey M. Wooldridge published in the Journal of Applied Econometrics 11(6), 1996, pp.619-632. We have been able to replicate all reported estimation results concerning the determinants of employee participation rates in 401(k) pension plans using standard routines provided in Stata. As an alternative, we estimate a two-part model that is able to cope with the excessive number of boundary values of one in the data. The estimated marginal effects are similar to that derived in that paper. A small scale Monte Carlo simulation exercise suggests that the RESET tests proposed by Papke and Wooldridge in their robust form are useful for detecting neglected non-linearities in small samples.

Suggested Citation

  • Harald Oberhofer & Michael Pfaffermayr, "undated". "Fractional Response Models - A Replication Exercise of Papke and Wooldridge (1996)," Working Papers 2009-02, Faculty of Economics and Statistics, Universität Innsbruck.
  • Handle: RePEc:inn:wpaper:2009-02
    as

    Download full text from publisher

    File URL: https://www2.uibk.ac.at/downloads/c4041030/wpaper/2009-02.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kelejian, Harry H & Prucha, Ingmar R, 1999. "A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 509-533, May.
    2. Joaquim J.S. Ramalho & Jacinto Vidigal da Silva, 2009. "A two-part fractional regression model for the financial leverage decisions of micro, small, medium and large firms," Quantitative Finance, Taylor & Francis Journals, vol. 9(5), pages 621-636.
    3. Papke, Leslie E. & Wooldridge, Jeffrey M., 2008. "Panel data methods for fractional response variables with an application to test pass rates," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 121-133, July.
    4. Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2011. "Alternative Estimating And Testing Empirical Strategies For Fractional Regression Models," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 19-68, February.
    5. Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053, October.
    6. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
    7. Winfried Pohlmeier & Volker Ulrich, 1995. "An Econometric Model of the Two-Part Decisionmaking Process in the Demand for Health Care," Journal of Human Resources, University of Wisconsin Press, vol. 30(2), pages 339-361.
    8. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-632, Nov.-Dec..
    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. Harald Oberhofer, 2012. "Firm Growth, European Industry Dynamics and Domestic Business Cycles," Scottish Journal of Political Economy, Scottish Economic Society, vol. 59(3), pages 316-337, July.
    2. Harald Oberhofer & Michael Pfaffermayr, 2014. "Two-Part Models for Fractional Responses Defined as Ratios of Integers," Econometrics, MDPI, vol. 2(3), pages 1-22, September.
    3. Pradhan, Jaya Prakash & Zohair, Mohammad, 2014. "Subnational Export Performance and Determinants: Evidence from Two Indian States," MPRA Paper 60029, University Library of Munich, Germany.
    4. Ogundari, Kolawole, 2013. "Determinants of food-poverty states and the demand for dietary diversity in Nigeria," 2013 Fourth International Conference, September 22-25, 2013, Hammamet, Tunisia 161302, African Association of Agricultural Economists (AAAE).
    5. Rafael Duarte Lisboa Paschoaleto & Inmaculada Martínez-Zarzoso, 2024. "Environmental regulations and firms’ integration in global markets: using a new environmental performance index," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 51(3), pages 829-876, August.
    6. Eleonora Di Maria & Roberto Ganau, 2017. "SMEs’ growth in international markets: export intensity, export diversification and distribution strategies," Economia e Politica Industriale: Journal of Industrial and Business Economics, Springer;Associazione Amici di Economia e Politica Industriale, vol. 44(3), pages 345-369, September.
    7. Buschle, Julius & Anatolitis, Vasilios & Plötz, Patrick, 2024. "Empirical evidence on discrimination in multi-technology renewable energy auctions in Europe," Energy Policy, Elsevier, vol. 184(C).
    8. Jaya Prakash Pradhan & Mohammad Zohair, 2015. "Subnational Export Performance and Determinants," Review of Market Integration, India Development Foundation, vol. 7(2), pages 133-174, August.
    9. Peter H. Egger & Michaela Kesina, 2014. "Financial Constraints and the Extensive and Intensive Margin of Firm Exports: Panel Data Evidence from China," Review of Development Economics, Wiley Blackwell, vol. 18(4), pages 625-639, November.
    10. Xie, Qunyong, 2017. "Firm age, marketization, and entry mode choices of emerging economy firms: Evidence from listed firms in China," Journal of World Business, Elsevier, vol. 52(3), pages 372-385.
    11. Inmaculada Martínez-Zarzoso & Florian Johannsen, 2018. "What explains indirect exports of goods and services in Eastern Europe and Central Asia?," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 45(2), pages 283-309, May.
    12. Cullen F. Goenner, 2018. "The market for private student loans: an analysis of credit union exposure, risk, and returns," Review of Quantitative Finance and Accounting, Springer, vol. 50(4), pages 1227-1251, May.
    13. Spyros Arvanitis & Florian Seliger, 2014. "Imitation versus innovation," KOF Working papers 14-367, KOF Swiss Economic Institute, ETH Zurich.
    14. Ogundari, Kolawole, 2014. "The Paradigm of Agricultural Efficiency and its Implication on Food Security in Africa: What Does Meta-analysis Reveal?," World Development, Elsevier, vol. 64(C), pages 690-702.
    15. Iza Lejárraga & Harald Oberhofer, 2015. "Performance of small- and medium-sized enterprises in services trade: evidence from French firms," Small Business Economics, Springer, vol. 45(3), pages 673-702, October.
    16. Pericoli, F.M. & Pierucci, E. & Ventura, L., 2013. "Cross-border equity portfolio choices and the diversification motive: A fractional regression approach," Economics Letters, Elsevier, vol. 121(2), pages 282-286.

    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. Harald Oberhofer & Michael Pfaffermayr, 2014. "Two-Part Models for Fractional Responses Defined as Ratios of Integers," Econometrics, MDPI, vol. 2(3), pages 1-22, September.
    2. Mohieddine Rahmouni, 2021. "Determinants of capacity utilisation by firms in developing countries: evidence from Tunisia," International Journal of Technological Learning, Innovation and Development, Inderscience Enterprises Ltd, vol. 13(3), pages 212-245.
    3. Jaya Prakash Pradhan & Mohammad Zohair, 2015. "Subnational Export Performance and Determinants," Review of Market Integration, India Development Foundation, vol. 7(2), pages 133-174, August.
    4. Jianhong Mu & Bruce McCarl & Anne Wein, 2013. "Adaptation to climate change: changes in farmland use and stocking rate in the U.S," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 18(6), pages 713-730, August.
    5. Pradhan, Jaya Prakash & Zohair, Mohammad, 2014. "Subnational Export Performance and Determinants: Evidence from Two Indian States," MPRA Paper 60029, University Library of Munich, Germany.
    6. Hodjo, Manzamasso & Dalton, Timothy & Nakelse, Tebila, 2021. "Cereal Land Allocation Under Weather and Price Uncertainties in West Africa," 2021 Conference, August 17-31, 2021, Virtual 315177, International Association of Agricultural Economists.
    7. Bluhm R & Crombrugghe D.P.I. de & Szirmai A., 2013. "The pace of poverty reduction - A fractional response approach," MERIT Working Papers 2013-051, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    8. Ramalho Esmeralda A. & Ramalho Joaquim J.S. & Coelho Luís M.S., 2018. "Exponential Regression of Fractional-Response Fixed-Effects Models with an Application to Firm Capital Structure," Journal of Econometric Methods, De Gruyter, vol. 7(1), pages 1-18, January.
    9. Joaquim Ramalho & J. Silva, 2013. "Functional form issues in the regression analysis of financial leverage ratios," Empirical Economics, Springer, vol. 44(2), pages 799-831, April.
    10. Esmeralda A. Ramalho & Joaquim J. S. Ramalho, 2017. "Moment-based estimation of nonlinear regression models with boundary outcomes and endogeneity, with applications to nonnegative and fractional responses," Econometric Reviews, Taylor & Francis Journals, vol. 36(4), pages 397-420, April.
    11. Koch, Steven F., 2015. "On the performance of fractional multinomial response models for estimating Engel Curves," International Journal of Agricultural Sciences and Technology (IJAGST), SvedbergOpen, vol. 54(1), June.
    12. Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2011. "Alternative Estimating And Testing Empirical Strategies For Fractional Regression Models," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 19-68, February.
    13. Montoya-Blandón, Santiago & Jacho-Chávez, David T., 2020. "Semiparametric quasi maximum likelihood estimation of the fractional response model," Economics Letters, Elsevier, vol. 186(C).
    14. John Mullahy, 2010. "Multivariate Fractional Regression Estimation of Econometric Share Models," NBER Working Papers 16354, National Bureau of Economic Research, Inc.
    15. Kieschnick, Robert & Moussawi, Rabih, 2018. "Firm age, corporate governance, and capital structure choices," Journal of Corporate Finance, Elsevier, vol. 48(C), pages 597-614.
    16. Richard Bluhm & Denis de Crombrugghe & Adam Szirmai, 2016. "Poverty Accounting. A fractional response approach to poverty decomposition," Working Papers 413, ECINEQ, Society for the Study of Economic Inequality.
    17. Alexandridis, George & Antypas, Nikolaos & Gulnur, Arman & Visvikis, Ilias, 2020. "Corporate financial leverage and M&As choices: Evidence from the shipping industry," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    18. Becker, Gideon, 2014. "The portfolio structure of German households: A multinomial fractional response approach with unobserved heterogeneity," University of Tübingen Working Papers in Business and Economics 74, University of Tuebingen, Faculty of Economics and Social Sciences, School of Business and Economics.
    19. Spyros Arvanitis & Florian Seliger, 2014. "Imitation versus innovation," KOF Working papers 14-367, KOF Swiss Economic Institute, ETH Zurich.
    20. Latouche, Karine & Rouviere, Elodie, 2011. "Brokers vs. Retailers: Evidence from the French Imports Industry of Fresh Produce," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 114398, European Association of Agricultural Economists.

    More about this item

    Keywords

    Replication Exercise; Fractional Response Models; Two-Part Models; Monte Carlo Simulation.;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

    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:inn:wpaper:2009-02. 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: Janette Walde (email available below). General contact details of provider: https://edirc.repec.org/data/fuibkat.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.