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Testing superiority at interim analyses in a non‐inferiority trial
Author(s) -
Joshua Chen Y.H.,
Chen Cong
Publication year - 2012
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.5312
Subject(s) - interim , interim analysis , type i and type ii errors , test (biology) , econometrics , statistical hypothesis testing , margin (machine learning) , computer science , medicine , clinical trial , statistics , mathematics , machine learning , law , paleontology , political science , biology
Shift in research and development strategy from developing follow‐on or ‘me‐too’ drugs to differentiated medical products with potentially better efficacy than the standard of care (e.g., first‐in‐class, best‐in‐class, and bio‐betters) highlights the scientific and commercial interests in establishing superiority even when a non‐inferiority design, adequately powered for a pre‐specified non‐inferiority margin, is appropriate for various reasons. In this paper, we propose a group sequential design to test superiority at interim analyses in a non‐inferiority trial. We will test superiority at the interim analyses using conventional group sequential methods, and we may stop the study because of better efficacy. If the study fails to establish superior efficacy at the interim and final analyses, we will test the primary non‐inferiority hypothesis at the final analysis at the nominal level without alpha adjustment. Whereas superiority/non‐inferiority testing no longer has the hierarchical structure in which the rejection region for testing superiority is a subset of that for testing non‐inferiority, the impact of repeated superiority tests on the false positive rate and statistical power for the primary non‐inferiority test at the final analysis is essentially ignorable. For the commonly used O'Brien–Fleming type alpha‐spending function, we show that the impact is extremely small based upon Brownian motion boundary‐crossing properties. Numerical evaluation further supports the conclusion for other alpha‐spending functions with a substantial amount of alpha being spent on the interim superiority tests. We use a clinical trial example to illustrate the proposed design. Copyright © 2012 John Wiley & Sons, Ltd.