We propose three-sided testing, a testing framework for simultaneous testing of inferiority, equivalence and superiority in clinical trials, controlling for multiple testing using the partitioning principle. Like the usual two-sided testing approach, this approach is completely symmetric in the two treatments compared. Still, because the hypotheses of inferiority and superiority are tested with one-sided tests, the proposed approach has more power than the two-sided approach to infer non-inferiority or non-superiority. Applied to the classical point null hypothesis of equivalence, the three-sided testing approach shows that it is sometimes possible to make an inference on the sign of the parameter of interest, even when the null hypothesis itself could not be rejected. Relationships with confidence intervals are explored, and the effectiveness of the three-sided testing approach is demonstrated in a number of recent clinical trials. Copyright © 2010 John Wiley & Sons, Ltd.

Goeman, J., Solari, A., Stijnen, T. (2010). Three-sided hypothesis testing: Simultaneous testing of superiority, equivalence and inferiority. STATISTICS IN MEDICINE, 29(20), 2117-2125 [10.1002/sim.4002].

Three-sided hypothesis testing: Simultaneous testing of superiority, equivalence and inferiority

SOLARI, ALDO;
2010

Abstract

We propose three-sided testing, a testing framework for simultaneous testing of inferiority, equivalence and superiority in clinical trials, controlling for multiple testing using the partitioning principle. Like the usual two-sided testing approach, this approach is completely symmetric in the two treatments compared. Still, because the hypotheses of inferiority and superiority are tested with one-sided tests, the proposed approach has more power than the two-sided approach to infer non-inferiority or non-superiority. Applied to the classical point null hypothesis of equivalence, the three-sided testing approach shows that it is sometimes possible to make an inference on the sign of the parameter of interest, even when the null hypothesis itself could not be rejected. Relationships with confidence intervals are explored, and the effectiveness of the three-sided testing approach is demonstrated in a number of recent clinical trials. Copyright © 2010 John Wiley & Sons, Ltd.
Articolo in rivista - Articolo scientifico
Clinical trials; Multiple testing; Non-inferiority;
English
2010
29
20
2117
2125
none
Goeman, J., Solari, A., Stijnen, T. (2010). Three-sided hypothesis testing: Simultaneous testing of superiority, equivalence and inferiority. STATISTICS IN MEDICINE, 29(20), 2117-2125 [10.1002/sim.4002].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/20176
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