size_general: Maximal size of tests based on various confidence interval...

In NourHawila/EC: Exact-corrected confidence interval and other useful functions to analyze noninferiority binomial trials

Description

This function evaluates maximum size of the decision rule based on a given confidence interval method; see Hawila & Berg (2021)

Usage

size_general(
  alpha,
  N.T,
  N.C,
  delta0,
  method = "MN",
  EC,
  tolEC = 1e-06,
  CZ,
  tolCZ = 0.001,
  eps = 0.3
)

Arguments

alpha	numeric between 0 and 1 representing the significance level
N.T	positive integer representing the sample size in the treatment group
N.C	positive integer representing the sample size in the control group
delta0	numeric between 0 and 1 representing the noninferiority margin
method	character representing the method for ordering criterion("MN","FM","SS","Blackwelder")
EC	logical. TRUE for the exact-corrected confidence limits. FALSE for default method without exact-correction. Only relevant if CZ=F
tolEC	positive numeric representing the tolerance for confidence interval convergence
CZ	logical. TRUE for Chan and Zhang confidence limits. FALSE for Exact-corrected (EC=T) or default method without correction (EC=F)
tolCZ	positive numeric representing the increment size for domain of Delta. Default is set to 0.001.
eps	positive numeric representing the range from starting values based on Miettinen & Nurminen confidence limits.

Value

numeric representing the level of test based on the specified confidence interval method

References

\insertRef

Hawila:21EC \insertRefChan:99EC \insertRefMiettinen:85EC

Examples

#The three examples calculate the level of the exact-corrected,
#Chan & Zhang and Asymptotic confidence interval based on the
#Miettenen and Nurminen test statistic where each group has a
#sample size of 10, alpha is 0.1 and the noninferiority margin
#is 20%.
size_general(alpha=0.1,N.T=10,N.C=10,delta0=0.2,method="MN",EC=TRUE,tolEC=1e-4,CZ=FALSE,tolCZ=1e-3,eps=0.3)
#size_general(alpha=0.1,N.T=10,N.C=10,delta0=0.2,method="MN",EC=FALSE,tolEC=1e-4,CZ=TRUE,tolCZ=1e-3,eps=0.3)
size_general(alpha=0.1,N.T=10,N.C=10,delta0=0.2,method="MN",EC=FALSE,tolEC=1e-4,CZ=FALSE,tolCZ=1e-3,eps=0.3)

NourHawila/EC documentation built on Feb. 24, 2022, 8:24 a.m.