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A more powerful exact test of noninferiority from binary matched‐pairs data
Author(s) -
Lloyd Chris J.,
Moldovan Max V.
Publication year - 2008
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.3229
Subject(s) - maximization , statistic , nuisance parameter , likelihood ratio test , statistics , computer science , binary number , expectation–maximization algorithm , test statistic , score test , biometrics , mathematics , maximum likelihood , statistical hypothesis testing , mathematical optimization , artificial intelligence , arithmetic , estimator
Assessing the therapeutic noninferiority of one medical treatment compared with another is often based on the difference in response rates from a matched binary pairs design. This paper develops a new exact unconditional test for noninferiority that is more powerful than available alternatives. There are two new elements presented in this paper. First, we introduce the likelihood ratio statistic as an alternative to the previously proposed score statistic of Nam ( Biometrics 1997; 53 :1422–1430). Second, we eliminate the nuisance parameter by estimation followed by maximization as an alternative to the partial maximization of Berger and Boos ( Am. Stat. Assoc. 1994; 89 :1012–1016) or traditional full maximization. Based on an extensive numerical study, we recommend tests based on the score statistic, the nuisance parameter being controlled by estimation followed by maximization. Copyright © 2008 John Wiley & Sons, Ltd.