Dose.Response.Linear {TrialSize}

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

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
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