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

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  • 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
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    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..
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    Cited by:

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    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).
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    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.
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    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.
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    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.

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    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

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