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A comparison of ordinal logistic regression models using Classical and Bayesian approaches in an analysis of factors associated with diabetic retinopathy

Author

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  • K. Vaitheeswaran
  • M. Subbiah
  • R. Ramakrishnan
  • T. Kannan

Abstract

Estimating the risk factors of a disease such as diabetic retinopathy (DR) is one of the important research problems among bio-medical and statistical practitioners as well as epidemiologists. Incidentally many studies have focused in building models with binary outcomes, that may not exploit the available information. This article has investigated the importance of retaining the ordinal nature of the response variable (e.g. severity level of a disease) while determining the risk factors associated with DR. A generalized linear model approach with appropriate link functions has been studied using both Classical and Bayesian frameworks. From the result of this study, it can be observed that the ordinal logistic regression with probit link function could be more appropriate approach in determining the risk factors of DR. The study has emphasized the ways to handle the ordinal nature of the response variable with better model fit compared to other link functions.

Suggested Citation

  • K. Vaitheeswaran & M. Subbiah & R. Ramakrishnan & T. Kannan, 2016. "A comparison of ordinal logistic regression models using Classical and Bayesian approaches in an analysis of factors associated with diabetic retinopathy," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(12), pages 2254-2260, September.
    • Handle: RePEc:taf:japsta:v:43:y:2016:i:12:p:2254-2260
    DOI: 10.1080/02664763.2016.1140725
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    References listed on IDEAS

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    1. Deborah Ashby & Stuart J. Pocock & A. Gerald Shaper, 1986. "Ordered Polytomous Regression: An Example Relating Serum Biochemistry and Haematology to Alcohol Consumption," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 35(3), pages 289-301, November.
    2. Bercedis Peterson & Frank E. Harrell, 1990. "Partial Proportional Odds Models for Ordinal Response Variables," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 39(2), pages 205-217, June.
    3. Werner Holtbrügge & Martin Schumacher, 1991. "A Comparison of Regression Models for the Analysis of Ordered Categorical Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 40(2), pages 249-259, June.
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