Issues with statistical risks for testing methods in noninferiority trial without a placebo ARM.
Noninferiority trials without a placebo arm often require an indirect statistical inference for assessing the effect of a test treatment relative to the placebo effect or relative to the effect of the selected active control treatment. The indirect inference involves the direct comparison of the test treatment with the active control from the noninferiority trial and the assessment, via some type of meta-analyses, of the effect of the active control relative to a placebo from historical studies. The traditional within-noninferiority-trial Type I error rate cannot ascertain the statistical risks associated with the indirect inference, though this error rate is of the primary consideration under the frequentist statistical framework. Another kind of Type I error rate, known as across-trial Type I error rate, needs to be considered in order that the statistical risks associated with the indirect inference can be controlled at a small level. Consideration of the two kinds of Type I error rates is also important for defining a noninferiority margin. For the indirect statistical inference, the practical utility of any method that controls only the across-trial Type I error rate at a fixed small level is limited.
Hung
H M James
HM
Division of Biometrics I, Office of Biostatistics, OTS/CDER, FDA, Silver Spring, MD 20993-0002, USA. hsienming.hung@fda.hhs.gov
Wang
Sue-Jane
SJ
O'Neill
Robert
R
D002986:Clinical Trials as Topic / Q000379:methods* / Q000706:statistics & numerical data*; D035061:Control Groups; D018849:Controlled Clinical Trials as Topic / Q000379:methods / Q000706:statistics & numerical data; D003627:Data Interpretation, Statistical; D006801:Humans; D015201:Meta-Analysis as Topic; D015233:Models, Statistical; D010919:Placebos; D012107:Research Design / Q000592:standards / Q000706:statistics & numerical data
D010919:Placebos