2007
DOI: 10.1002/sim.2912
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Sample size calculation for the Wilcoxon–Mann–Whitney test adjusting for ties

Abstract: In this paper we study sample size calculation methods for the asymptotic Wilcoxon-Mann-Whitney test for data with or without ties. The existing methods are applicable either to data with ties or to data without ties but not to both cases. While the existing methods developed for data without ties perform well, the methods developed for data with ties have limitations in that they are either applicable to proportional odds alternatives or have computational difficulties. We propose a new method which has a clo… Show more

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Cited by 56 publications
(48 citation statements)
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“…17 Using sample size calculations for Wilcoxon signed-rank tests, 20 participants were required to detect a significant sum of ranks of 158 (i.e., a reduction in time to PMCD following training in 11 participants) and also to detect a difference in the median change in time to PMCD of C 2.5 min between two randomly assigned education methods, with 80% power and a type I error of 0.05. 18,19 Residents were invited to participate on an ongoing basis until the required sample size was achieved.…”
Section: Discussionmentioning
confidence: 99%
“…17 Using sample size calculations for Wilcoxon signed-rank tests, 20 participants were required to detect a significant sum of ranks of 158 (i.e., a reduction in time to PMCD following training in 11 participants) and also to detect a difference in the median change in time to PMCD of C 2.5 min between two randomly assigned education methods, with 80% power and a type I error of 0.05. 18,19 Residents were invited to participate on an ongoing basis until the required sample size was achieved.…”
Section: Discussionmentioning
confidence: 99%
“…3 On the basis of our observational study, the required total sample size to achieve an 80% power (b¼0.2) at 5% probability of type I error (a¼0.05) for correctly detecting such difference of 5 motor score change is 18. On the basis of this calculation, this trial enrolled 40 subjects in total, 20 subjects per group.…”
Section: Statistical Analysesmentioning
confidence: 96%
“…In addition, the distribution of the EDSS at the last visit in the two arms of the trial can be calculated using the transition matrices. Based on this distribution, analytical sample size calculations for the Wilcoxon test under a proportional odds model have been derived, [24] and sample size calculations for the Wilcoxon test under non-proportional odds assumptions have also been derived [28]. In addition, sample size calculations for a Wilcoxon test using the distribution of EDSS values are available in standard software via simulation.…”
Section: Discussionmentioning
confidence: 99%