\name{ph2simon}
\title{Simon's 2-stage Phase II design}
\alias{ph2simon}
\alias{print.ph2simon}
\alias{plot.ph2simon}
\keyword{design}
\description{
  Calculates Optimal and Minimax 2-stage Phase II designs given by
  Richard Simon
}
\usage{
ph2simon(pu, pa, ep1, ep2, nmax=100)
\method{print}{ph2simon}(x, \dots)
\method{plot}{ph2simon}(x, \dots)
}
\arguments{
  \item{pu}{unacceptable response rate}
  \item{pa}{response rate that is desirable}
  \item{ep1}{threshold for the probability of declaring drug desirable
    under p0}
  \item{ep2}{threshold for the probability of rejecting the drug under
    p1}
  \item{nmax}{maximum total sample size (default 100; can be at most
    500)}
  \item{x}{object returned by ph2simon}
  \item{...}{arguments to be passed onto plot and print commands called
    within}
}
\value{
  ph2simon returns a list with pu, pa, alpha, beta and nmax as above
  and:
  \item{out}{matrix of best 2 stage designs for each value of total
    sample size n.  the 6 columns are: r1, n1, r, n, EN(p0), PET(p0)}

  The "print" method formats and returns the minimax and optimal
  designs.  The "plot" plots the expected sample size agains the maximum
  sample size as in Jung et al., 2001
}

\examples{
  ph2simon(0.2, 0.4, 0.1, 0.1)
  ph2simon(0.2, 0.35, 0.05, 0.05)
  ph2simon(0.2, 0.35, 0.05, 0.05, nmax=150)
}

\references{
  Simon R. (1989).  Optimal Two-Stage Designs for Phase II Clinical
  Trials. \emph{Controlled Clinical Trials} 10, 1-10.

  Jung SH, Carey M and Kim KM. (2001). Graphical Search for Two-Stage
  Designs for Phase II Clinical Trials. \emph{Controlled Clinical
    Trials}  22, 367-372.
}

\keyword{design}