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Advances in Decision Sciences (ADS)

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A Three-arm Non-inferiority Test for Heteroscedastic Data

A Three-arm Non-inferiority Test for Heteroscedastic Data

Title

A THREE-ARM NON-INFERIORITY TEST FOR HETEROSCEDASTIC DATA

Authors

  • Jingchen Ren
    (School of Statistics, Beijing Normal University, Beijing, China)
  • Xu Guo
    (School of Statistics, Beijing Normal University, Beijing, China)

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

https://doi.org/10.47654/v22y2018i1p279-307

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ISSN 2090-3359 (Print)
ISSN 2090-3367 (Online)

Asia University, Taiwan

Scientific and Business World

4.7
2023CiteScore
 
86th percentile
Powered by  Scopus
SCImago Journal & Country Rank
Q2 in Scopus
CiteScore 2023 = 4.7
CiteScoreTracker 2024 = 8.5
SNIP 2023 = 0.799
SJR Quartile = Q1
SJR 2024 = 0.814
H-Index = 20

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