R/ThreeArmedTrials.R

In ThreeArmedTrials: Design and Analysis of Clinical Non-Inferiority or Superiority Trials with Active and Placebo Control

#' @name ThreeArmedTrials
#' @docType package
#' @title Design and Analysis of Three-armed Clinical Non-Inferiority or Superiority Trials with Active and Placebo Control
#' @description  The package \pkg{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
#' \eqn{(\lambda_P - \lambda_E)/(\lambda_P - \lambda_R) \le \Delta} with the alternative hypothesis
#' \eqn{(\lambda_P - \lambda_E)/(\lambda_P - \lambda_R) > \Delta}.
#' The parameters \eqn{\lambda_E}, \eqn{\lambda_R}, and \eqn{\lambda_P} are associated with
#' the distribution of the endpoints and smaller values of \eqn{\lambda_E}, \eqn{\lambda_R},
#' and \eqn{\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 \eqn{\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).
#' @import stats
#' @import MASS
#' @author Tobias Muetze  \email{tobias.muetze@@outlook.com}
#' @references
#'   Hauschke, D. and Pigeot, I. 2005. \dQuote{Establishing efficacy of a new experimental treatment in the 'gold standard' design.} Biometrical Journal 47, 782--786.
#'   Muetze, T. et al. 2015. \dQuote{Design and analysis of three-arm trials with negative binomially distributed endpoints.} \emph{Submitted.}
NULL