2018
DOI: 10.1002/sim.7983
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Optimal sample size planning for the Wilcoxon‐Mann‐Whitney test

Abstract: There are many different proposed procedures for sample size planning for the Wilcoxon‐Mann‐Whitney test at given type‐I and type‐II error rates α and β, respectively. Most methods assume very specific models or types of data to simplify calculations (eg, ordered categorical or metric data, location shift alternatives, etc). We present a unified approach that covers metric data with and without ties, count data, ordered categorical data, and even dichotomous data. For that, we calculate the unknown theoretical… Show more

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Cited by 64 publications
(45 citation statements)
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“…Using the methodology of optimal sample size planning for the Wilcoxon–Mann–Whitney test, Happ, Bathke, and Brunner (2019) estimated that two data sample sizes ( n 1 = n 2 = 26) are required to achieve at least 80% power. In this study, according to Wilcoxon–Mann–Whitney test, the confidence level of significance of the distributions (Figure 3) varied from 90 to 99% depending on the sample size of the investigated rivers.…”
Section: Resultsmentioning
confidence: 99%
“…Using the methodology of optimal sample size planning for the Wilcoxon–Mann–Whitney test, Happ, Bathke, and Brunner (2019) estimated that two data sample sizes ( n 1 = n 2 = 26) are required to achieve at least 80% power. In this study, according to Wilcoxon–Mann–Whitney test, the confidence level of significance of the distributions (Figure 3) varied from 90 to 99% depending on the sample size of the investigated rivers.…”
Section: Resultsmentioning
confidence: 99%
“…The BioPlex system provides a wider dynamic range, greater sensitivity, and more statistical significance for each assay than conventional immunoassays. Hence, in sample size planning the potential for medium to large effect sizes for the differences in the levels of the four cytokines examined and study costs was considered, 17 , 18 as recommended by the FDA study guidelines for estimating minimum appropriate patient sample size and cost. 19 Within the context of testing the hypothesis that there would be significant differences in the levels of each cytokine between OSA patient and airways treated patients and controls, we performed effect size estimates using three methods, (1) the absolute value of r, (2) Cliff’s delta, and (3) Vargha and Delaney’s A.…”
Section: Methodsmentioning
confidence: 99%
“…The Wilcoxon test was used to compare intra-group differences, and the Mann-Whitney U test was used to compare inter-group differences. (33) We used the SPSS Statistics for Windows, Version 21.0 (IBM Corp., Armonk, NY) to perform statistical analysis and P < 0.05 was considered statistically signi cant.…”
Section: Side Effectsmentioning
confidence: 99%