IDEAS home Printed from https://ideas.repec.org/p/iee/wpaper/wp0127.html

Testing the normality assumption in an ordered probit model using an artificial regression– some results for the LM-test

Author

Listed:
  • Joachim Wilde

    (Osnabrueck University, Department of Economics, Rolandstr. 8, 49069 Osnabrueck, Germany)

  • Sarah Forstinger

    (Osnabrueck University, Department of Economics, Rolandstr. 8, 49069 Osnabrueck, Germany)

Abstract

The key assumption of normally distributed error terms is usually not tested in empirical practice when using ordered probit models. Therefore, an artificial regression version of the LM test against the class of Pearson distributions is derived that can be implemented more easily than the well-known matrix version. A comprehensive simulation study analyses the properties of the LM test and of the t-statistics in the artificial regression that correspond to skewness and fat tails, respectively. For most designs a large power against skewness and a moderate power against fat tails are found. However, the t-statistics against skewness and fat tails exhibit notable size distortions. Therefore, new double indicators are proposed. The simulation results indicate that the double indicators avoid the size distortions and exhibit power characteristics similar to the original statistics for most designs.

Suggested Citation

  • Joachim Wilde & Sarah Forstinger, 2026. "Testing the normality assumption in an ordered probit model using an artificial regression– some results for the LM-test," IEER Working Papers 127, Institute of Empirical Economic Research, Osnabrueck University.
    • Handle: RePEc:iee:wpaper:wp0127
    as

    Download full text from publisher

    File URL: https://web.fb9.uni-osnabrueck.de/repec/iee/wpaper/17737518_WP_127.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Johnson, Paul A., 1996. "A test of the normality assumption in the ordered probit model," MPRA Paper 10080, University Library of Munich, Germany.
    2. Bera, Anil K & Jarque, Carlos M & Lee, Lung-Fei, 1984. "Testing the Normality Assumption in Limited Dependent Variable Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(3), pages 563-578, October.
    3. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    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. Wilde, Joachim, 2008. "A simple representation of the Bera-Jarque-Lee test for probit models," Economics Letters, Elsevier, vol. 101(2), pages 119-121, November.
    2. Elias Katsikas & Theologos Dergiades, 2012. "Revising higher education policy in Greece: filling the Danaids’ Jar," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 39(3), pages 279-292, August.
    3. Ekaterina Kalugina & Natalia Radtchenko & Catherine Sofer, 2008. "Une analyse du partage intrafamilial du revenu à partir de données subjectives," Economie & Prévision, La Documentation Française, vol. 0(5), pages 101-116.
    4. Elias Katsikas & Theologos Dergiades, 2009. "Higher Education Policy in Greece: Filling the Danaids' Jar," Discussion Paper Series 2009_16, Department of Economics, University of Macedonia, revised Nov 2009.
    5. Michael Lechner, 2000. "An Evaluation of Public-Sector-Sponsored Continuous Vocational Training Programs in East Germany," Journal of Human Resources, University of Wisconsin Press, vol. 35(2), pages 347-375.
    6. William H. Greene & David A. Hensher, 2008. "Modeling Ordered Choices: A Primer and Recent Developments," Working Papers 08-26, New York University, Leonard N. Stern School of Business, Department of Economics.
    7. Holden, Darryl & Perman, Roger, 2014. "The convenient calculation of some test statistics in models of discrete choice," SIRE Discussion Papers 2015-07, Scottish Institute for Research in Economics (SIRE).
    8. Riccardo LUCCHETTI & Claudia PIGINI, 2011. "Conditional Moment Tests for Normality in Bivariate Limited Dependent Variable Models: a Monte Carlo Study," Working Papers 357, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    9. Holden, Darryl & Perman, Roger, 2014. "The convenient calculation of some test statistics in models of discrete choice," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-07, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Lechner, Michael, 1995. "Effects of continuous off-the-job training in East Germany after unification," ZEW Discussion Papers 95-27, ZEW - Leibniz Centre for European Economic Research.
    11. Anikó Bíró, 2013. "Subjective mortality hazard shocks and the adjustment of consumption expenditures," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(4), pages 1379-1408, October.
    12. Zanini, Fabio C. & Irwin, Scott H. & Schnitkey, Gary D. & Sherrick, Bruce J., 2000. "Estimating Farm-Level Yield Distributions For Corn And Soybeans In Illinois," 2000 Annual meeting, July 30-August 2, Tampa, FL 21720, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    13. Giuseppe Croce & Emanuela Ghignoni, 2011. "Overeducation and spatial flexibility in Italian local labour markets," Working Papers in Public Economics 145, Department of Economics and Law, Sapienza University of Rome.
    14. Chasco, Coro & López, Ana María & Guillain, Rachel, 2008. "The non-stationary influence of geography on the spatial agglomeration of production in the EU," MPRA Paper 10737, University Library of Munich, Germany.
    15. Davidson, Russell & Flachaire, Emmanuel, 2007. "Asymptotic and bootstrap inference for inequality and poverty measures," Journal of Econometrics, Elsevier, vol. 141(1), pages 141-166, November.
    16. Caginalp, Gunduz & DeSantis, Mark, 2017. "Does price efficiency increase with trading volume? Evidence of nonlinearity and power laws in ETFs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 436-452.
    17. Jongeneel, Roelof A. & Ge, Lan, 2005. "Explaining Growth in Dutch Agriculture: Prices, Public R&D, and Technological Change," 2005 International Congress, August 23-27, 2005, Copenhagen, Denmark 24573, European Association of Agricultural Economists.
    18. Dong, Yingying, 2010. "Jumpy or Kinky? Regression Discontinuity without the Discontinuity," MPRA Paper 25461, University Library of Munich, Germany.
    19. Barnett, William A. & Serletis, Apostolos, 2008. "Consumer preferences and demand systems," Journal of Econometrics, Elsevier, vol. 147(2), pages 210-224, December.
    20. Hany Eldemerdash & Hugh Metcalf & Sara Maioli, 2014. "Twin deficits: new evidence from a developing (oil vs. non-oil) countries’ perspective," Empirical Economics, Springer, vol. 47(3), pages 825-851, November.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:iee:wpaper:wp0127. 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: Karin Wessler-Rensmann (email available below). General contact details of provider: https://edirc.repec.org/data/ieosnde.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.