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Simultaneous multiple comparisons with a control using median differences and permutation tests

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  • Richter, Scott J.
  • McCann, Melinda H.

Abstract

Permutation methods using median differences for simultaneous pairwise comparisons with a control are investigated. Simulation results suggest that the permutation methods are generally more powerful than the Dunnett procedure when data are from nonnormal distributions. A new procedure is shown to provide strong control of the familywise error rate, and have highest power for detecting the treatment that differs most from the control, for certain nonnormal distributions. Step-down permutation procedures, which have greater power to detect treatment differences with the control, are also proposed and examined. The procedures are illustrated using an example from the applied literature.

Suggested Citation

  • Richter, Scott J. & McCann, Melinda H., 2013. "Simultaneous multiple comparisons with a control using median differences and permutation tests," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1167-1173.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:4:p:1167-1173
    DOI: 10.1016/j.spl.2013.01.014
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    References listed on IDEAS

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    1. Wilcox, Rand R., 2006. "Comparing medians," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1934-1943, December.
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    Cited by:

    1. Hasan Önder, 2017. "A Review on the Permutation Tests," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 3(3), pages 68-70, October.

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