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Updated: Jan 5, 2026

A Two-interval Forced-choice Task for Multisensory Comparisons
Published on: November 9, 2018
Simultaneous confidence intervals for ratios with application to the gold standard design with more than one
Sylvia Schmidt1, Werner Brannath1
1Kompetenzzentrum für Klinische Studien Bremen, Universität Bremen, Bremen, Germany.
Abstract:
Considering a study design with two experimental treatments, a reference treatment and a placebo, we extend a previous approach considering the ratios of effects to a procedure for analyzing multiple ratios. The technical framework for constructing tests and compatible simultaneous confidence intervals is set in a general manner. Besides a single step procedure and its extension to a stepdown procedure, also, an informative stepwise procedure in the spirit of our previous work is developed. The latter is especially interesting, because noninferiority studies require informative confidence intervals to infer more information than just noninferiority at the prespecified margin. Results from a simulation study for the three methods are shown. We also argue that an extension to more than two experimental treatments is straightforward.
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