TrialSize (version 1.3)

Dose.Response.Linear: Linear Contrast Test for Dose Response Study

Description

For a multi-arm dose response design, we use a linear contrast coefficients ci with \(\sum ci = 0\).

H0: L(mu)=\(\sum ci \times \mu_i = 0\)

Ha: L(mu)=\(\sum ci \times \mu_i = \epsilon\), not equal to 0

Usage

Dose.Response.Linear(alpha, beta, sigma, mui, ci, fi)

Arguments

alpha

significance level

beta

power = 1-beta

sigma

standard deviation for the population

mui

mui is the population mean for group i.

ci

a linear contrast coefficients ci with \(\sum ci = 0\).

fi

fi=ni/n is the sample size fraction for the ith group

References

Chow SC, Shao J, Wang H. Sample Size Calculation in Clinical Research. New York: Marcel Dekker, 2003

Examples

# NOT RUN {
mui=c(0.05,0.12,0.14,0.16);
ci=c(-6,1,2,3);

Example.11.1<-Dose.Response.Linear(alpha=0.05,beta=0.2,sigma=0.22,mui=mui,ci=ci,fi=1/4)
Example.11.1
#178

# }