Nonparametric comparisons of umbrella pattern treatment effects with a control in a one-way layout

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Abstract

Nonparametric tests for comparing umbrella pattern treatment effects with a control in a one-way layout were studied in Chen and Wolfe (1993). In this paper a recursive formula for deriving the isotonic regression which is useful for statistical inference under the umbrella pattern restriction is given. An alternative multiple test procedure is then considered for the setting where the peak of the umbrella is known. The results of a Monte Carlo power study are presented.

Original languageEnglish
Pages (from-to)749-764
Number of pages16
JournalCommunications in Statistics - Simulation and Computation
Volume22
Issue number3
DOIs
StatePublished - 1 Jan 1993

Keywords

  • and phrases
  • Isotonic regression
  • Monte Carlo study
  • multiple test procedure
  • one-way layout
  • umbrella pattern treatment effects

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