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Related Experiment Videos

Multiple test procedures for dose finding

A C Tamhane1, Y Hochberg, C W Dunnett

  • 1Department of Statistics, Northwestern University, Evanston, Illinois 60208-4070, USA.

Biometrics
|March 1, 1996
PubMed
Summary
This summary is machine-generated.

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Identifying the lowest effective dose requires robust statistical methods. Step-down procedures, particularly Williams

Area of Science:

  • Biostatistics
  • Statistical Methods
  • Pharmacometrics

Background:

  • Determining the lowest dose with a significant mean response is crucial in dose-response studies.
  • Existing stepwise testing procedures have varying efficacies and error rates.

Purpose of the Study:

  • To propose a general framework for stepwise testing procedures.
  • To derive and compare new and existing procedures for identifying the lowest effective dose.
  • To evaluate the performance of these procedures under different dose-mean configurations.

Main Methods:

  • Development of a general framework for stepwise testing using contrasts.
  • Analytical comparison and extensive simulation studies.
  • Evaluation for normal theory balanced one-way layout.

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Main Results:

  • Williams' procedure and two step-down tests (Helmert, linear contrasts) perform best for monotone dose means.
  • These procedures remain superior for nonmonotone configurations, though Williams' performance slightly degrades.
  • Step-down procedures generally outperform step-up procedures.

Conclusions:

  • Ruberg's step and basin contrast procedures exhibit excessively high familywise error rates (FWEs) and should be avoided.
  • Williams' procedure and specific step-down tests are recommended for identifying the lowest effective dose.
  • A simple step-down test offers FWE control in complex designs but has lower power.