overall_sample_size_bin: Overall Sample Size Binomial

In preference: 2-Stage Preference Trial Design and Analysis

Description

Calculates the sample size required to detect a given set of effects in a two-stage randomize clinical trial with a binary outcome. Returns the sample size for each of the three effects: preference, selection and treatment

Usage

overall_sample_size_bin(
  power,
  phi,
  p11,
  p22,
  p1,
  p2,
  alpha = 0.05,
  theta = 0.5,
  xi = 1,
  nstrata = 1,
  k = 1
)

Arguments

power	desired study power. Should be numeric value between 0 and 1.
phi	the proportion of patients preferring treatment 1. Should be numeric value between 0 and 1. If study is stratified, should be vector with length equal to the number of strata in the study.
p11	response proportion of patients choosing to receive treatment 1 in the choice arm. Should be numeric value between 0 and 1. If study is stratified, should be vector with length equal to the number of strata in the study.
p22	response proportion of patients choosing to receive treatment 2 in the choice arm. Should be numeric value between 0 and 1. If study is stratified, should be vector with length equal to the number of strata in the study.
p1	response proportion of patients randomized to receive treatment 1 in the random arm. Should be numeric value between 0 and 1. If study is stratified, should be vector with length equal to the number of strata in the study.
p2	response proportion of patients randomized to receive treatment 2 in the random arm. Should be numeric value between 0 and 1. If study is stratified, should be vector with length equal to the number of strata in the study.
alpha	desired type I error rate.
theta	proportion of patients assigned to choice arm in the initial randomization. Should be numeric value between 0 and 1 (default=0.5).
xi	a numeric vector of the proportion of patients in each stratum. Length of vector should equal the number of strata in the study and sum of vector should be 1. All vector elements should be numeric values between 0 and 1. Default is 1 (i.e. unstratified design).
nstrata	number of strata. Default is 1 (i.e. unstratified design).
k	the ratio of treatment A to treatment B in the random arm. (default 1, i.e. equal distribution to the two treatments in the random arm)

preference documentation built on Sept. 13, 2020, 5:08 p.m.