Title
A THREE-ARM NON-INFERIORITY TEST FOR HETEROSCEDASTIC DATA
Authors
Abstract
In this paper, we consider the three-arm non-inferiority trial in the statistical testing frameworkestablished by Hida and Tango (2011). As distinct from existing methods, this paper allows the
data to be heteroscedastic. Several new test statistics are developed. Numerical simulations are
used to illustrate the performance of the novel proposed methods, which are compared with
some existing methods. It is found that a recent proposed procedure may not control the Type
I Error well when the data are heteroscedastic. Among the three new methods, the Improved
Score test has the best numerical performance.
Keywords
Welch t-test, Score test, Three-arm non-inferiority trial
Classification-JEL
C12, C14, C52
Pages
279-307