IDEAS home Printed from https://ideas.repec.org/a/bla/obuest/v71y2009i5p659-681.html
   My bibliography  Save this article

Simplified Implementation of the Heckman Estimator of the Dynamic Probit Model and a Comparison with Alternative Estimators

Author

Listed:
  • Wiji Arulampalam
  • Mark B. Stewart

Abstract

This paper presents a convenient shortcut method for implementing the Heckman estimator of the dynamic random effects probit model and other dynamic nonlinear panel data models using standard software. It then compares the estimators proposed by Heckman, Orme and Wooldridge, based on three alternative approximations, first in an empirical model for the probability of unemployment and then in a set of simulation experiments. The results indicate that none of the three estimators dominates the other two in all cases. In most cases, all three estimators display satisfactory performance, except when the number of time periods is very small.

Suggested Citation

  • Wiji Arulampalam & Mark B. Stewart, 2009. "Simplified Implementation of the Heckman Estimator of the Dynamic Probit Model and a Comparison with Alternative Estimators," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(5), pages 659-681, October.
  • Handle: RePEc:bla:obuest:v:71:y:2009:i:5:p:659-681
    DOI: 10.1111/j.1468-0084.2009.00554.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1468-0084.2009.00554.x
    Download Restriction: no

    File URL: https://libkey.io/10.1111/j.1468-0084.2009.00554.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Clark, Andrew E. & Etile, Fabrice, 2006. "Don't give up on me baby: Spousal correlation in smoking behaviour," Journal of Health Economics, Elsevier, vol. 25(5), pages 958-978, September.
    2. Cappellari, Lorenzo & Jenkins, Stephen P., 2008. "The Dynamics of Social Assistance Receipt: Measurement and Modelling Issues, with an Application to Britain," IZA Discussion Papers 3765, Institute of Labor Economics (IZA).
    3. Wiji Arulampalam, 1999. "A Note on Estimated Coefficients in Random Effects Probit Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 597-602, November.
    4. Jeffrey M. Wooldridge, 2005. "Simple solutions to the initial conditions problem in dynamic, nonlinear panel data models with unobserved heterogeneity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(1), pages 39-54, January.
    5. Rob Alessie & Stefan Hochguertel & Arthur van Soest, 2004. "Ownership of Stocks and Mutual Funds: A Panel Data Analysis," The Review of Economics and Statistics, MIT Press, vol. 86(3), pages 783-796, August.
    6. Mark B. Stewart, 2007. "The interrelated dynamics of unemployment and low-wage employment," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 511-531.
    7. Paul Contoyannis & Andrew M. Jones & Nigel Rice, 2004. "The dynamics of health in the British Household Panel Survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(4), pages 473-503.
    8. Islam, Nizamul, 2007. "A Dynamic Tobit Model of Female Labor Supply," Working Papers in Economics 259, University of Gothenburg, Department of Economics.
    9. Honore, Bo E., 1993. "Orthogonality conditions for Tobit models with fixed effects and lagged dependent variables," Journal of Econometrics, Elsevier, vol. 59(1-2), pages 35-61, September.
    10. Dean R. Hyslop, 1999. "State Dependence, Serial Correlation and Heterogeneity in Intertemporal Labor Force Participation of Married Women," Econometrica, Econometric Society, vol. 67(6), pages 1255-1294, November.
    11. Francisco Requena-Silvente, 2005. "The Decision to Enter and Exit Foreign Markets: Evidence from U.K. SMEs," Small Business Economics, Springer, vol. 25(3), pages 237-253, October.
    12. Nerlove, Marc, 1971. "Further Evidence on the Estimation of Dynamic Economic Relations from a Time Series of Cross Sections," Econometrica, Econometric Society, vol. 39(2), pages 359-382, March.
    13. Andrew Henley, 2004. "Self-Employment Status: The Role of State Dependence and Initial Circumstances," Small Business Economics, Springer, vol. 22(1), pages 67-82, February.
    14. Andrén, Thomas, 2007. "The Persistence of Welfare Participation," Working Papers in Economics 266, University of Gothenburg, Department of Economics.
    15. Butler, J S & Moffitt, Robert, 1982. "A Computationally Efficient Quadrature Procedure for the One-Factor Multinomial Probit Model," Econometrica, Econometric Society, vol. 50(3), pages 761-764, May.
    16. Arulampalam, Wiji & Booth, Alison L & Taylor, Mark P, 2000. "Unemployment Persistence," Oxford Economic Papers, Oxford University Press, vol. 52(1), pages 24-50, January.
    17. repec:bla:ausecr:v:40:y:2007:i:4:p:369-384 is not listed on IDEAS
    18. Andrew B. Bernard & J. Bradford Jensen, 2004. "Why Some Firms Export," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 561-569, May.
    19. Andrew Benito & Garry Young, 2003. "Hard Times or Great Expectations? Dividend Omissions and Dividend Cuts by UK Firms," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(5), pages 531-555, December.
    20. Stephen Pudney, 2008. "The dynamics of perception: modelling subjective wellbeing in a short panel," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(1), pages 21-40, January.
    21. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
    22. Rick Audas & Tim Barmby & John Treble, 2004. "Luck, Effort, and Reward in an Organizational Hierarchy," Journal of Labor Economics, University of Chicago Press, vol. 22(2), pages 379-396, April.
    23. Propper, Carol, 2000. "The demand for private health care in the UK," Journal of Health Economics, Elsevier, vol. 19(6), pages 855-876, November.
    24. Loudermilk, Margaret S., 2007. "Estimation of Fractional Dependent Variables in Dynamic Panel Data Models With an Application to Firm Dividend Policy," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 462-472, October.
    25. Nicolas Depetris Chauvin & Aart Kraay, 2007. "Who Gets Debt Relief?," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 333-342, 04-05.
    26. Dorsett, Richard, 1999. "An econometric analysis of smoking prevalence among lone mothers," Journal of Health Economics, Elsevier, vol. 18(4), pages 429-441, August.
    27. Wiji Arulampalam & Sonia Bhalotra, 2003. "Sibling Death Clustering in India: Genuine Scarring vs Unobserved Heterogeneity," Bristol Economics Discussion Papers 03/552, School of Economics, University of Bristol, UK.
    28. Bo E. Honoré & Ekaterini Kyriazidou, 2000. "Panel Data Discrete Choice Models with Lagged Dependent Variables," Econometrica, Econometric Society, vol. 68(4), pages 839-874, July.
    29. James J. Heckman, 1981. "Heterogeneity and State Dependence," NBER Chapters, in: Studies in Labor Markets, pages 91-140, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    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. Mark B. Stewart, 2007. "The interrelated dynamics of unemployment and low-wage employment," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 511-531.
    2. Clark, Ken & Kanellopoulos, Nikolaos C., 2013. "Low pay persistence in Europe," Labour Economics, Elsevier, vol. 23(C), pages 122-134.
    3. Manudeep Bhuller & Christian N. Brinch & Sebastian Königs, 2017. "Time Aggregation and State Dependence in Welfare Receipt," Economic Journal, Royal Economic Society, vol. 127(604), pages 1833-1873, September.
    4. Francesco Bartolucci & Claudia Pigini, 2017. "Granger causality in dynamic binary short panel data models," Working Papers 421, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    5. Lucchetti, Riccardo & Pigini, Claudia, 2017. "DPB: Dynamic Panel Binary Data Models in gretl," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 79(i08).
    6. Akay, Alpaslan, 2007. "Monte Carlo Investigation of the Initial Values Problem in Censored Dynamic Random-Effects Panel Data Models," Working Papers in Economics 278, University of Gothenburg, Department of Economics.
    7. Martin Biewen, 2009. "Measuring state dependence in individual poverty histories when there is feedback to employment status and household composition," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(7), pages 1095-1116, November.
    8. Giarda, Elena, 2013. "Persistency of financial distress amongst Italian households: Evidence from dynamic models for binary panel data," Journal of Banking & Finance, Elsevier, vol. 37(9), pages 3425-3434.
    9. Sara Ayllón, 2009. "Modelling State Dependence and Feedback Effects between Poverty, Employment and Parental Home Emancipation among European Youth," SOEPpapers on Multidisciplinary Panel Data Research 235, DIW Berlin, The German Socio-Economic Panel (SOEP).
    10. Cuesta, Maite Blázquez & Budría, Santiago, 2017. "Unemployment persistence: How important are non-cognitive skills?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 69(C), pages 29-37.
    11. Georgios Marios Chrysanthou, 2007. "Determinants of Trade Union Membership in Great Britain During 1991-2003," Discussion Papers 07/01, Department of Economics, University of York.
    12. Deng, Quheng & Ma, Xinxin, 2018. "The Dynamics of Informal Employment in Urban China," CEI Working Paper Series 2018-3, Center for Economic Institutions, Institute of Economic Research, Hitotsubashi University.
    13. Plum, Alexander & Knies, Gundi, 2015. "Does neighbourhood unemployment affect the springboard effect of low pay?," ISER Working Paper Series 2015-20, Institute for Social and Economic Research.
    14. Kerem Tuzcuoglu, 2019. "Composite Likelihood Estimation of an Autoregressive Panel Probit Model with Random Effects," Staff Working Papers 19-16, Bank of Canada.
    15. Nisar Ahmad, 2014. "State Dependence in Unemployment," International Journal of Economics and Financial Issues, Econjournals, vol. 4(1), pages 93-106.
    16. Lionel WILNER, 2019. "The Dynamics of Individual Happiness," Working Papers 2019-18, Center for Research in Economics and Statistics.
    17. Alexander Mosthaf & Thorsten Schank & Claus Schnabel, 2014. "Low-wage employment versus unemployment: Which one provides better prospects for women?," IZA Journal of European Labor Studies, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 3(1), pages 1-17, December.
    18. Carlos Gradín & Olga Cantó, 2009. "Why are child poverty rates so persistently high in Spain?," Working Papers 123, ECINEQ, Society for the Study of Economic Inequality.
    19. Picchio, Matteo & van Ours, Jan C., 2013. "Retaining through training even for older workers," Economics of Education Review, Elsevier, vol. 32(C), pages 29-48.
    20. Andreas Knabe & Alexander Plum, 2013. "Low-wage Jobs — Springboard to High-paid Ones?," LABOUR, CEIS, vol. 27(3), pages 310-330, September.

    More about this item

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

    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:bla:obuest:v:71:y:2009:i:5:p:659-681. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/sfeixuk.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.