OneSampleMean.NIS: One Sample Mean Test for Non-Inferiority/Superiority

In TrialSize: R Functions for Chapter 3,4,6,7,9,10,11,12,14,15 of Sample Size Calculation in Clinical Research

One Sample Mean Test for Non-Inferiority/Superiority

Description

Ho: margin \le delta Ha: margin > delta

if delta >0, the rejection of Null Hypothesis indicates the true mean is superior over the reference value mu0;

if delta <0, the rejection of the null hypothesis implies the true mean is non-inferior against the reference value mu0.

Usage

OneSampleMean.NIS(alpha, beta, sigma, margin, delta)

Arguments

alpha	significance level
beta	power = 1-beta
sigma	standard deviation
delta	the superiority or non-inferiority margin
margin	margin=\bar{x}-\mu_0 the difference between the true mean response of a test \bar{x} and a reference value \mu_0

References

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

Examples

OneSampleMean.NIS(0.05,0.2,1,0.5,-0.5)
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TrialSize documentation built on April 12, 2025, 2:01 a.m.