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Exact Wilcoxon signed-rank and Wilcoxon Mann–Whitney ranksum tests

Author

Listed:
  • Tammy Harris

    (University of South Carolina)

  • James W. Hardin

    (University of South Carolina)

Abstract

We present new Stata commands for carrying out exact Wilcoxon one-sample and two-sample comparisons of the median. Nonparametric tests are often used in clinical trials, in which it is not uncommon to have small samples. In such situations, researchers are accustomed to making inferences by using exact statistics. The ranksum and signrank commands in Stata provide only asymptotic results, which assume normality. Because large-sample results are unacceptable in many clinical trials studies, these researchers must use other software packages. To address this, we have developed new commands for Stata that provide exact statistics in small samples. Additionally, when samples are large, we provide results based on the Student’s t distribution that outperform those based on the normal distribution. Copyright 2013 by StataCorp LP.

Suggested Citation

  • Tammy Harris & James W. Hardin, 2013. "Exact Wilcoxon signed-rank and Wilcoxon Mann–Whitney ranksum tests," Stata Journal, StataCorp LP, vol. 13(2), pages 337-343, June.
    • Handle: RePEc:tsj:stataj:y:13:y:2013:i:2:p:337-343
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    References listed on IDEAS

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    1. Niranjan Nagarajan & Uri Keich, 2009. "Reliability and efficiency of algorithms for computing the significance of the Mann–Whitney test," Computational Statistics, Springer, vol. 24(4), pages 605-622, December.
    2. Requena, F. & Ciudad, N. Martin, 2006. "A major improvement to the Network Algorithm for Fisher's Exact Test in 2xc contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 490-498, November.
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