allsinglearm: Onestage combination function for optimal designs

Description Usage Arguments Examples

Description

This function calculates sample sizes of the Fleming 1-stage , Simon-2stage, Sargent's 1- and 2-stage design. calculations are performed jointly for different sets of proportions (p0, pA) and operating characteristics. All designs are summarized in 2 tables, 1 for one-stage designs (Fleming and sargent) and 1 for two-stage designs (Simon and sargent)

Usage

1
allsinglearm(p0, pa, alpha, beta, alpha2 = alpha, beta2, pi, eta, eps = 0.005)

Arguments

p0

uninteresting response (null hypothesis H0), can be a vector

pa

interesting response (alternative hypothesis Ha), can be a vector, always same length as p0. The corresponding elements of p0 and pa are taken as a set of proportions

alpha

P(reject H0|H0) for Fleming and Simon designs, can be a vector

beta

P(reject Ha|Ha) for Fleming and Simon designs, can be a vector

alpha2

P(reject H0|H0) for Sargent designs, can be a vector, same length as alpha

beta2

P(reject Ha|Ha) for Sargent designs, can be a vector, same length as beta

pi

P(reject H0|Ha) for Sargent designs, can be a vector, same length as beta2

eta

P(reject Ha|H0) for Sargent designs, can be a vector, same length as alpha2

eps

tolerance (actual alpha<=alpha+eps; actual beta<=beta+eps; actual eta>=eta-eps; actual p>=pi-eps); default value = 0.005

Examples

1
2
allsinglearm(p0 = 0.1, pa = 0.7,
             alpha = 0.05, alpha2 = 0.05, beta = 0.2, beta2 = 0.1, pi = 0.8, eta = 0.8)

IDDI-BE/PhIIdesign documentation built on June 5, 2021, 2:03 p.m.