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Pairwise comparisons of treatments with ordinal responses in a two-way setting

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  • Tong-Yu Lu
  • Yueqiong Lin
  • Junjiang Zhong

Abstract

In clinical studies, pairwise comparisons are frequently performed to examine differences in efficacy between treatments. The statistical methods of pairwise comparisons are available when treatment responses are measured on an ordinal scale. The Wilcoxon–Mann–Whitney test and the latent normal model are popular examples. However, these procedures cannot be used to compare treatments in parallel groups (a two-way design) when overall type I error must be controlled. In this paper, we explore statistical approaches to the pairwise testing of treatments that satisfy the requirements of a two-way layout. The results of our simulation indicate that the latent normal approach is superior to the Wilcoxon–Mann–Whitney test. Clinical examples are used to illustrate our suggested testing methods.

Suggested Citation

  • Tong-Yu Lu & Yueqiong Lin & Junjiang Zhong, 2017. "Pairwise comparisons of treatments with ordinal responses in a two-way setting," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(21), pages 10549-10563, November.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:21:p:10549-10563
    DOI: 10.1080/03610926.2016.1239111
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