A THREE-ARM NON-INFERIORITY TEST FOR HETEROSCEDASTIC DATA

Jingchen Ren and Xu Guo
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Jingchen Ren: School of Statistics, Beijing Normal University, Beijing, China
Xu Guo: School of Statistics, Beijing Normal University, Beijing, China

Advances in Decision Sciences, 2018, vol. 22, issue 1, 279-307

Abstract: In this paper, we consider the three-arm non-inferiority trial in the statistical testing framework established 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 (search for similar items in EconPapers)
JEL-codes: C12 C14 C52 (search for similar items in EconPapers)
Date: 2018
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