Journal of Statistics: Advances in Theory and ApplicationsAuthor's: Yohei Kawasaki and Hiroshi Yamada
Pages: [195] - [206]
Received Date: November 19, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100121581
In drug development, non-inferiority tests are often employed to
determine the difference between two independent binomial proportions.
Many test statistics for non-inferiority are based on the frequentist
framework. In this paper, we propose a method for the determination of
sample sizes using the index 
where 
and 
denote binomial random variables for
trials 
and 
and parameters 
and 
respectively, and the non-inferiority
margin is 
In this paper, we propose a new method of
calculation, by which we determine in advance the estimated difference
between the posterior proportions and the value to be derived at the
end of the test to obtain the necessary sample size. We provide the
lists of necessary sample sizes with various assumptions.
independent binomial proportions, Bayesian inference, non-inferiority, sample size.
