TrialSize (version 1.4)

Dose.Min.Effect: Williams' Test for Minimum effective dose (MED)

Description

Ho: \(\mu_1=\mu_2=...=\mu_K \) Ha: \(\mu_1=\mu_2=...=\mu_{i-1} < \mu_{i} < \mu_{i+1} < \mu_{K}\)

Usage

Dose.Min.Effect(alpha, beta, qt, sigma, delta)

Arguments

alpha

significance level

beta

power = 1-beta

qt

the critical value tk(alpha)

sigma

standard deviation

delta

\(\delta\) is the clinically meaningful minimal difference

References

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

Examples

# NOT RUN {
Example.11.4.1<-Dose.Min.Effect(0.05,0.2,1.75,0.22,0.11)
Example.11.4.1
#54
# }