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On the Statistical Analysis of Ordinal Data When Extravariation is Present

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  • J. Jansen

Abstract

Threshold models can be useful for analysing ordered categorical data, like ratings. Such models provide a link between the ordinal scale of measurement and a linear scale on which treatments are supposed to act. In this paper a simple agricultural plot experiment is considered with two sources of variation, namely between‐plot variation and within‐plot variation. So far, methods for analysing ordered categorical data are not capable of handling such a situation adequately. It is shown that for a threshold model with two sources of variation maximum likelihood estimates can be obtained by iterative weighted least squares. The computer package Genstat is used to carry out the computations. to illustrate the methods an example concerning damage in strawberries due to the fungus Phytophtora fragariae is given.

Suggested Citation

  • J. Jansen, 1990. "On the Statistical Analysis of Ordinal Data When Extravariation is Present," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 39(1), pages 75-84, March.
    • Handle: RePEc:bla:jorssc:v:39:y:1990:i:1:p:75-84
    DOI: 10.2307/2347813
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    Cited by:

    1. Tutz, Gerhard & Hennevogl, Wolfgang, 1996. "Random effects in ordinal regression models," Computational Statistics & Data Analysis, Elsevier, vol. 22(5), pages 537-557, September.
    2. William Greene, 2014. "Models for ordered choices," Chapters, in: Stephane Hess & Andrew Daly (ed.), Handbook of Choice Modelling, chapter 15, pages 333-362, Edward Elgar Publishing.
    3. 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.
    4. Tutz, Gerhard, 2004. "Generalized semiparametrically structured mixed models," Computational Statistics & Data Analysis, Elsevier, vol. 46(4), pages 777-800, July.

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