Sequential Hypothesis Tests for Identifying the Minimum Dose with a Threshold Effect

Tomohiro Nakamura, Yoshiro Yamamoto, Hideyuki Douke

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We propose a procedure to identify a lowest dose having greater effect than a threshold dose under the assumption of monotonicity of dose mean response in dose response test. So, we use statistics based on contrasts among sample means and apply a group sequential procedure to our procedure to identify effectively the dose. If we can identify the dose at an early step in the sequential test, since we can terminate the procedure with a few observations, the procedure is useful from an economical point of view. In a simulation studies, we compare the superiority among these procedures based on three contrasts.

Original languageEnglish
Pages (from-to)1950-1970
Number of pages21
JournalCommunications in Statistics: Simulation and Computation
Volume45
Issue number6
DOIs
Publication statusPublished - 2016 Jul 2

Keywords

  • Group sequential procedure
  • Sequential procedure for finding an effective dose level
  • Simulation studies
  • Statistic based on contrast

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation

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