ThreeArmedTrials: Design and Analysis of Three-armed Clinical Non-Inferiority...

ThreeArmedTrialsR Documentation

Design and Analysis of Three-armed Clinical Non-Inferiority or Superiority Trials with Active and Placebo Control

Description

The package ThreeArmedTrials provides functions for designing and analyzing non-inferiority or superiority trials with an active and a placebo control. Non-inferiority and superiority are defined through the hypothesis (\lambda_P - \lambda_E)/(\lambda_P - \lambda_R) \le \Delta with the alternative hypothesis (\lambda_P - \lambda_E)/(\lambda_P - \lambda_R) > \Delta. The parameters \lambda_E, \lambda_R, and \lambda_P are associated with the distribution of the endpoints and smaller values of \lambda_E, \lambda_R, and \lambda_P are considered to be desirable. A detailed description of these parameters can be found in the help file of the individual functions. The margin \Delta is between 0 and 1 for testing non-inferiority and larger than 1 for testing superiority.

A detailed discussion of the hypothesis can be found in Hauschke and Pigeot (2005).

The statistical theory for negative binomial distributed endpoint has been developed by Muetze et al. (2015).

Author(s)

Tobias Muetze tobias.muetze@outlook.com

References

Hauschke, D. and Pigeot, I. 2005. “Establishing efficacy of a new experimental treatment in the 'gold standard' design.” Biometrical Journal 47, 782–786. Muetze, T. et al. 2015. “Design and analysis of three-arm trials with negative binomially distributed endpoints.” Submitted.


tobiasmuetze/ThreeArmedTrials documentation built on April 25, 2023, 8:26 a.m.