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Multivariate one-sided multiple comparison procedure with a control based on the approximate likelihood ratio test.

Biometrical journal. Biometrische Zeitschrift·2010
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Related Experiment Video

Updated: Jul 16, 2026

Inverse Probability of Treatment Weighting (Propensity Score) using the Military Health System Data Repository and National Death Index
06:55

Inverse Probability of Treatment Weighting (Propensity Score) using the Military Health System Data Repository and National Death Index

Published on: January 8, 2020

Step down procedure for comparing several treatments with a control based on multivariate normal response.

Tsunehisa Imada1, Hideyuki Douke

  • 1Kumamoto Liberal Arts Education, Division of Liberal Arts Education, Kyushu Tokai University, 9-1-1 Toroku, Kumamoto 862-8652, Japan. timada@ktmail.ktokai-u.ac.jp

Biometrical Journal. Biometrische Zeitschrift
|March 9, 2007
PubMed
Summary

This study introduces a new step-down procedure for comparing multiple treatments against a control in clinical trials with multivariate normal data. The method enhances statistical power for treatment comparisons.

Related Experiment Videos

Last Updated: Jul 16, 2026

Inverse Probability of Treatment Weighting (Propensity Score) using the Military Health System Data Repository and National Death Index
06:55

Inverse Probability of Treatment Weighting (Propensity Score) using the Military Health System Data Repository and National Death Index

Published on: January 8, 2020

Area of Science:

  • Biostatistics
  • Clinical Trial Design
  • Statistical Inference

Background:

  • Multiple comparisons are crucial in clinical trials to evaluate several treatments against a control.
  • Multivariate normal distributions are common in clinical trial data, requiring specialized statistical methods.
  • Existing methods for multiple comparisons may not always optimize statistical power.

Purpose of the Study:

  • To develop and evaluate a novel step-down procedure for multiple comparisons in clinical trials.
  • To enhance the statistical power of tests when comparing several treatments to a control group.
  • To compare the performance of the proposed procedure against existing methods.

Main Methods:

  • Construction of a step-down procedure based on Dunnett and Tamhane (1991).
  • Formulation of all-pairs power using recursive formulas from Hayter and Tamhane (1991) and Dunnett, Horn, and Vollandt (2001).
  • Comparison with Nakamura and Imada's (2005) single-step procedure using numerical examples.

Main Results:

  • The proposed step-down procedure demonstrates competitive or superior power in numerical examples.
  • The recursive formula provides an efficient way to calculate all-pairs power.
  • The study quantifies the power differences between the step-down and single-step procedures.

Conclusions:

  • The developed step-down procedure offers an effective approach for multiple treatment comparisons in clinical trials.
  • The findings provide valuable insights into optimizing statistical power in clinical trial analysis.
  • This method contributes to more robust and powerful clinical trial evaluations.