IDEAS home Printed from https://ideas.repec.org/a/bes/jnlbes/v21y2003i1p31-42.html
   My bibliography  Save this article

Testing the Normality Assumption in the Sample Selection Model with an Application to Travel Demand

Author

Listed:
  • van der Klaauw, Bas
  • Koning, Ruud H

Abstract

In this article we introduce a test for the normality assumption in the sample selection model. The test is based on a flexible parametric specification of the density function of the error terms in the model. This specification follows a Hermite series with bivariate normality as a special case. All parameters of the model are estimated both under normality and under the more general flexible parametric specification, which enables testing for normality using a standard likelihood ratio test. If normality is rejected, then the flexible parametric specification provides consistent parameter estimates. The test has reasonable power, as is shown by a simulation study. The test also detects some types of ignored heteroscedasticity. Finally, we apply the flexible specification of the density to a travel demand model and test for normality in this model.

Suggested Citation

  • van der Klaauw, Bas & Koning, Ruud H, 2003. "Testing the Normality Assumption in the Sample Selection Model with an Application to Travel Demand," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 31-42, January.
  • Handle: RePEc:bes:jnlbes:v:21:y:2003:i:1:p:31-42
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Charles F. Manski, 1989. "Anatomy of the Selection Problem," Journal of Human Resources, University of Wisconsin Press, vol. 24(3), pages 343-360.
    2. Phillips, Peter C B, 1983. "ERAs: A New Approach to Small Sample Theory," Econometrica, Econometric Society, vol. 51(5), pages 1505-1525, September.
    3. Melenberg, B. & van Soest, A.H.O., 1993. "Semi-parametric estimation of the sample selection model," Discussion Paper 1993-34, Tilburg University, Center for Economic Research.
    4. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
    5. Gallant, A Ronald & Nychka, Douglas W, 1987. "Semi-nonparametric Maximum Likelihood Estimation," Econometrica, Econometric Society, vol. 55(2), pages 363-390, March.
    6. Cameron, A Colin & Johansson, Per, 1997. "Count Data Regression Using Series Expansions: With Applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 203-223, May-June.
    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. Picchio, Matteo & Mussida, Chiara, 2011. "Gender wage gap: A semi-parametric approach with sample selection correction," Labour Economics, Elsevier, vol. 18(5), pages 564-578, October.
    2. David Dreyer Lassen, 2005. "The Effect of Information on Voter Turnout: Evidence from a Natural Experiment," American Journal of Political Science, John Wiley & Sons, vol. 49(1), pages 103-118, January.
    3. repec:ebl:ecbull:v:3:y:2008:i:42:p:1-13 is not listed on IDEAS
    4. Michael Pfaffermayr, 2014. "A GMM-Based Test for Normal Disturbances of the Heckman Sample Selection Model," Econometrics, MDPI, Open Access Journal, vol. 2(4), pages 1-18, October.
    5. van den Berg, Gerard J. & van Vuuren, Aico, 2010. "The effect of search frictions on wages," Labour Economics, Elsevier, vol. 17(6), pages 875-885, December.
    6. Eun-Ju Lee & David Eastwood & Jinkook Lee, 2004. "A Sample Selection Model of Consumer Adoption of Computer Banking," Journal of Financial Services Research, Springer;Western Finance Association, vol. 26(3), pages 263-275, December.
    7. Kostov, Philip & Patton, Myles & Moss, Joan E. & McErlean, Seamus, 2005. "Does Gibrat's Law Hold Amongst Dairy Farmers in Northern Ireland?," 2005 International Congress, August 23-27, 2005, Copenhagen, Denmark 24775, European Association of Agricultural Economists.
    8. David Greenaway & Richard Kneller & Xufei Zhang, 2012. "The effect of exchange rates on firm exports and the role of FDI," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 148(3), pages 425-447, September.
    9. Masuhara, Hiroaki, 2013. "Semiparametric duration analysis with an endogenous binary variable: An application to hospital stays," CIS Discussion paper series 597, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    10. Lindeboom, Maarten & van Doorslaer, Eddy, 2004. "Cut-point shift and index shift in self-reported health," Journal of Health Economics, Elsevier, vol. 23(6), pages 1083-1099, November.
    11. Hiroaki Masuhara, 2007. "Semi-nonparametric estimation of regression-based survival models," Economics Bulletin, AccessEcon, vol. 3(61), pages 1-12.
    12. Maarten Goos & Anna Salomons, 2017. "Measuring teaching quality in higher education: assessing selection bias in course evaluations," Research in Higher Education, Springer;Association for Institutional Research, vol. 58(4), pages 341-364, June.
    13. Bontemps, Christian & Meddahi, Nour, 2005. "Testing normality: a GMM approach," Journal of Econometrics, Elsevier, vol. 124(1), pages 149-186, January.
    14. Spiess, Martin & Kroh, Martin, 2010. "A Selection Model for Panel Data: The Prospects of Green Party Support," EconStor Open Access Articles, ZBW - Leibniz Information Centre for Economics, pages 172-188.
    15. Mark Clatworthy & Gerald Makepeace & Michael Peel, 2009. "Selection bias and the Big Four premium: New evidence using Heckman and matching models," Accounting and Business Research, Taylor & Francis Journals, vol. 39(2), pages 139-166.
    16. Hiroaki Masuhara, 2008. "Semi-nonparametric count data estimation with an endogenous binary variable," Economics Bulletin, AccessEcon, vol. 3(42), pages 1-13.
    17. Lee Adkins & R. Carter Hill, 2007. "Bootstrap Inferences in Heteroscedastic Sample Selection Models: A Monte Carlo Investigation," Economics Working Paper Series 0710, Oklahoma State University, Department of Economics and Legal Studies in Business.
    18. Riccardo Lucchetti & Claudia Pigini, 2013. "A test for bivariate normality with applications in microeconometric models," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 22(4), pages 535-572, November.
    19. David Greenaway & Richard Kneller & Xufei Zhang, 2008. "Exchange Rates, Exports and FDI: A Microeconometric Analysis," Discussion Papers 08/09, University of Nottingham, GEP.
    20. Claudia PIGINI, 2012. "Of Butterflies and Caterpillars: Bivariate Normality in the Sample Selection Model," Working Papers 377, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    21. van Hasselt, Martijn, 2011. "Bayesian inference in a sample selection model," Journal of Econometrics, Elsevier, vol. 165(2), pages 221-232.
    22. repec:ebl:ecbull:v:3:y:2007:i:61:p:1-12 is not listed on IDEAS

    More about this item

    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:bes:jnlbes:v:21:y:2003:i:1:p:31-42. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F. Baum). General contact details of provider: http://www.amstat.org/publications/jbes/index.cfm?fuseaction=main .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.