IDEAS home Printed from https://ideas.repec.org/a/bla/jorssc/v43y1994i2p347-355.html
   My bibliography  Save this article

Tests of Linearity, Multivariate Normality and the Adequacy of Linear Scores

Author

Listed:
  • D. R. Cox
  • Nanny Wermuth

Abstract

After some discussion of the purposes of testing multivariate normality, the paper concentrates on two different approaches to testing linearity: on repeated regression tests of nonlinearity and on exploiting properties of a dichotomized normal distribution. Regression tests of linearity are used to examine the adequacy of linear scoring systems for explanatory variables, initially recorded on an ordinal scale. Examples from recent psychological and medical research are given in which the methods have led to some insight into subject‐matter.

Suggested Citation

  • D. R. Cox & Nanny Wermuth, 1994. "Tests of Linearity, Multivariate Normality and the Adequacy of Linear Scores," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 43(2), pages 347-355, June.
    • Handle: RePEc:bla:jorssc:v:43:y:1994:i:2:p:347-355
    DOI: 10.2307/2986025
    as

    Download full text from publisher

    File URL: https://doi.org/10.2307/2986025
    Download Restriction: no
    File URL: https://libkey.io/10.2307/2986025?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Foraita, Ronja & Klasen, Stephan & Pigeot, Iris, 2008. "Using graphical chain models to analyze differences in structural correlates of undernutrition in Benin and Bangladesh," Economics & Human Biology, Elsevier, vol. 6(3), pages 398-419, December.
    2. Bogdan, Malgorzata, 1999. "Data Driven Smooth Tests for Bivariate Normality," Journal of Multivariate Analysis, Elsevier, vol. 68(1), pages 26-53, January.
    3. Norbert Henze, 2002. "Invariant tests for multivariate normality: a critical review," Statistical Papers, Springer, vol. 43(4), pages 467-506, October.
    4. Jurgen A. Doornik & Henrik Hansen, 2008. "An Omnibus Test for Univariate and Multivariate Normality," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(s1), pages 927-939, December.
    5. Kristian Hindberg & Jan Hannig & Fred Godtliebsen, 2019. "A novel scale-space approach for multinormality testing and the k-sample problem in the high dimension low sample size scenario," PLOS ONE, Public Library of Science, vol. 14(1), pages 1-20, January.
    6. 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.
    7. Ttofi, Maria M. & Farrington, David P. & Piquero, Alex R. & Lösel, Friedrich & DeLisi, Matthew & Murray, Joseph, 2016. "Intelligence as a protective factor against offending: A meta-analytic review of prospective longitudinal studies," Journal of Criminal Justice, Elsevier, vol. 45(C), pages 4-18.
    8. Nanny Wermuth & Kayvan Sadeghi, 2012. "Sequences of regressions and their independences," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(2), pages 215-252, June.
    9. 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.

    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:bla:jorssc:v:43:y:1994:i:2:p:347-355. 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.

    We have no bibliographic references for this item. You can help adding them by using 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/rssssea.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.