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Journal of Clinical Pathology logoLink to Journal of Clinical Pathology
letter
. 2004 Jul;57(7):783.

Limitations of the Wilcoxon matched pairs signed ranks test for comparison studies

P J Twomey 1, A Viljoen 2
PMCID: PMC1770352  PMID: 15220382

We read the short report by Ellis et al with interest.1 However, we are unsure whether they have adequately proved that no significant difference was detected between the two outlined storage methods.

The hypothesis evaluated with the Wilcoxon matched pairs signed ranks test is whether or not the median of the difference scores equals zero. Let us consider the situation of x measurements tending to exceed y measurements in the low range and vice versa in the high range, with similar values in the mid range. Such results may have a median of the difference scores of approximately zero; that is, there might be no significant differences by the Wilcoxon matched pairs signed ranks test, although there would be differences by linear regression (Deming or Passing-Bablok) and/or difference plots.

However, this short report1 lacks both a regression equation (proportional and constant error) and difference plots. Therefore, we believe that although the IgG anti-rubella activity in frozen serum stored in primary gel separation tubes may not be significantly different from that stored frozen in secondary tubes, this study did not sufficiently prove this. We recommend, in line with others,2 that difference plots3 are used for such comparative studies and that such studies are put into a clinical context.3,4

References

  • 1.Ellis V , Charlett A, Bendall R. A comparison of IgG anti-rubella activity in frozen serum stored in primary gel separation tubes or secondary tubes. J Clin Pathol 2004;57:104–6. [DOI] [PMC free article] [PubMed] [Google Scholar]
  • 2.Hollis S . Analysis of method comparison studies. Ann Clin Biochem 1996;33:1–4. [DOI] [PubMed] [Google Scholar]
  • 3.Bland JM, Altman DG. Statistical methods for assessing agreement between two methods of clinical measurement. Lancet 1986;i:307–10. [PubMed] [Google Scholar]
  • 4.Fraser CG, Kallner A, Kenny D, et al. Introduction: strategies to set global quality specifications in laboratory medicine. Scand J Clin Lab Invest 1999;59:477–8. [PubMed] [Google Scholar]

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