IDEAS home Printed from https://ideas.repec.org/a/bla/jorssc/v45y1996i2p175-190.html
   My bibliography  Save this article

Goodness‐Of‐Fit Tests for Ordinal Response Regression Models

Author

Listed:
  • Stuart R. Lipsitz
  • Garrett M. Fitzmaurice
  • Geert Molenberghs

Abstract

In this paper, goodness‐of‐fit test statistics for ordinal regression models are proposed, which have approximate χ2‐distributions when the model has been correctly specified. The statistics proposed can be viewed as extensions of the Hosmer‐Lemeshow statistic to ordinal categorical data and can be easily calculated by using existing statistical software for analysing ordinal response data The methods are illustrated by using data from an arthritis clinical trial comparing the drug auranofin and placebo therapy for the treatment of rheumatoid arthritis, in which the response is a self‐assessment of arthritis, classified as poor, fair and good. The covariates of interest are age, gender, treatment and base‐line response. A proportional odds model is fitted to the data, and the proposed goodness‐of‐fit statistics are applied to the fitted model. Also, the small sample properties of the proposed goodness‐of‐fit statistics are compared in a simulation study.

Suggested Citation

  • Stuart R. Lipsitz & Garrett M. Fitzmaurice & Geert Molenberghs, 1996. "Goodness‐Of‐Fit Tests for Ordinal Response Regression Models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 45(2), pages 175-190, June.
    • Handle: RePEc:bla:jorssc:v:45:y:1996:i:2:p:175-190
    DOI: 10.2307/2986153
    as

    Download full text from publisher

    File URL: https://doi.org/10.2307/2986153
    Download Restriction: no
    File URL: https://libkey.io/10.2307/2986153?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. Daniel Fernández & Louise McMillan & Richard Arnold & Martin Spiess & Ivy Liu, 2022. "Goodness-of-Fit and Generalized Estimating Equation Methods for Ordinal Responses Based on the Stereotype Model," Stats, MDPI, vol. 5(2), pages 1-14, June.
    2. Mohamed A. Eltarkawe & Shelly L. Miller, 2018. "The Impact of Industrial Odors on the Subjective Well-Being of Communities in Colorado," IJERPH, MDPI, vol. 15(6), pages 1-24, May.
    3. Leonardo Salvatore Alaimo & Mariantonietta Fiore & Antonino Galati, 2020. "How the Covid-19 Pandemic Is Changing Online Food Shopping Human Behaviour in Italy," Sustainability, MDPI, vol. 12(22), pages 1-18, November.
    4. Naya Sena & Ana Veiga & Adilson Semedo & Mara Abu-Raya & Rute Semedo & Iwao Fujii & Mitsutaku Makino, 2023. "Co-Designing Protected Areas Management with Small Island Developing States’ Local Stakeholders: A Case from Coastal Communities of Cabo Verde," Sustainability, MDPI, vol. 15(20), pages 1-18, October.
    5. Dimitris Zavras, 2021. "Studying Satisfaction with the Restriction Measures Implemented in Greece during the First COVID-19 Pandemic Wave," World, MDPI, vol. 2(3), pages 1-12, July.
    6. Yongcheng Wang & Yiik Diew Wong & Kelvin Goh, 2021. "Perceived importance of inclusive street dimensions: a public questionnaire survey from a vision(ing) perspective," Transportation, Springer, vol. 48(2), pages 699-721, April.
    7. Sirin, Selahattin Murat & Yilmaz, Berna N., 2021. "The impact of variable renewable energy technologies on electricity markets: An analysis of the Turkish balancing market," Energy Policy, Elsevier, vol. 151(C).
    8. Christine Mauracher & Isabella Procidano & Marco Valentini, 2019. "How Product Attributes and Consumer Characteristics Influence the WTP, Resulting in a Higher Price Premium for Organic Wine," Sustainability, MDPI, vol. 11(5), pages 1-15, March.

    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:45:y:1996:i:2:p:175-190. 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.