Active-control trials with binary data: a comparison of methods for testing superiority or non-inferiority using the odds ratio

Siqueira, A.L., Whitehead, A. and Todd, S. ORCID: https://orcid.org/0000-0002-9981-923X (2008) Active-control trials with binary data: a comparison of methods for testing superiority or non-inferiority using the odds ratio. Statistics in Medicine, 27 (3). pp. 353-370. ISSN 0277-6715 doi: 10.1002/sim.2975

Abstract/Summary

This paper considers methods for testing for superiority or non-inferiority in active-control trials with binary data, when the relative treatment effect is expressed as an odds ratio. Three asymptotic tests for the log-odds ratio based on the unconditional binary likelihood are presented, namely the likelihood ratio, Wald and score tests. All three tests can be implemented straightforwardly in standard statistical software packages, as can the corresponding confidence intervals. Simulations indicate that the three alternatives are similar in terms of the Type I error, with values close to the nominal level. However, when the non-inferiority margin becomes large, the score test slightly exceeds the nominal level. In general, the highest power is obtained from the score test, although all three tests are similar and the observed differences in power are not of practical importance. Copyright (C) 2007 John Wiley & Sons, Ltd.