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An Application of Bradley‐Terry‐Type Models to the Measurement of Pain

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  • J. N. S. Matthews
  • K. P. Morris

Abstract

A case‐study concerning the measurement of pain experienced in the administration of routine subcutaneous injections to patients undergoing regular haemodialysis is presented. The four treatments studied had a 2 times 2 factorial structure: one factor comprised two forms of the anaemia correcting substance erythropoietin, and the other whether an anaesthetic or placebo cream was applied to the injection site. On a visit to the dialysis unit, a patient is given two of the treatments, one in each arm, and asked to nominate the less painful injection; on a subsequent visit the patient is asked to compare the remaining treatments in a similar way. These paired comparisons are analysed by using a version of the Bradley‐Terry model which accommodates ties and order effects. Extensions to the method to allow for factorial treatments and dependent judgments are developed.

Suggested Citation

  • J. N. S. Matthews & K. P. Morris, 1995. "An Application of Bradley‐Terry‐Type Models to the Measurement of Pain," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 44(2), pages 243-255, June.
    • Handle: RePEc:bla:jorssc:v:44:y:1995:i:2:p:243-255
    DOI: 10.2307/2986348
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    Cited by:

    1. Carolin Strobl & Florian Wickelmaier & Achim Zeileis, 2011. "Accounting for Individual Differences in Bradley-Terry Models by Means of Recursive Partitioning," Journal of Educational and Behavioral Statistics, , vol. 36(2), pages 135-153, April.

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