Nonparametric identification of the minimum effective dose

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We consider identifying the minimum effective dose (MED) in a dose- response study, where the MED is defined to be the lowest dose level producing an effect over that of the zero-dose control. Proposed herein is a nonparametric procedure based on the Mann-Whitney statistic incorporated with the step-down closed testing scheme. A numerical example demonstrates the feasibility of the proposed nonparametric procedure. Finally, the comparative results of a Monte Carlo level and power study for small sample sizes are presented and discussed.

Original languageEnglish
Pages (from-to)1236-1240
Number of pages5
Issue number4
StatePublished - Dec 1999


  • Dose-response study
  • Monte Carlo study
  • One-way layout
  • Step-down closed test


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