TrialSize (version 1.4)

Vaccine.ELDI: The evaluation of vaccine efficacy with Extremely Low Disease Incidence(ELDI)

Description

If the disease incidence rate is extremely low, the number of cases in the vaccine group given the total number of cases is distributed as a binomial random variable with parameter theta.

Ho: \(\theta \ge \theta_{0}\)

Ha: \(\theta < \theta_{0}\)

Usage

Vaccine.ELDI(alpha, beta, theta0, theta, pt, pc)

Arguments

alpha

significance level

beta

power=1-beta

theta0

the true parameter for binomial distribution. Theta0 is usually equal to 0.5

theta

theta=disease rate for treatment group/(disease rate for treatment group + for control group)

pt

the true disease incidence rates of the nt vaccines

pc

the true disease incidence rates of the nc controls

References

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

Examples

# NOT RUN {
Example.15.6.2<-Vaccine.ELDI(0.05,0.2,0.5,1/3,0.001,0.002)
Example.15.6.2
# 17837

# }