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Testing for interaction in studies of noninferiority
Brian L Wiens1, Joseph F Heyse
1Amgen Inc., Thousand Oaks, California 93120-1799, USA. bwiens@amgen.com
Abstract:
We consider the role of interaction tests in the context of active-controlled clinical trials that aim to demonstrate the noninferiority of an experimental treatment compared to a standard (control) treatment. When the subjects can be grouped into strata (e.g., study sites, gender, race, etc.), there may be a desire to determine whether the experimental treatment is noninferior to the standard in each of the strata. We present five possible analysis strategies to test for heterogeneity of relative treatment effects among strata. These strategies are either identical to or straightforward modifications of strategies that can be used to test for interaction when the objective of the study is to show differences rather than noninferiority. The various analysis strategies implicitly depend on different definitions of interaction. Power of the various tests will be low, a phenomenon that often occurs when testing for interaction. We present simulation results to quantify the power and type I error rates under different scenarios and an example to demonstrate the proposed tests. None of the analysis strategies is best under every parameter configuration. The tests may be best used in a descriptive or exploratory manner. Extensions to two-sided equivalence testing are also discussed.
Insights
This study explores interaction tests for active-controlled clinical trials assessing treatment noninferiority across subgroups. It presents five strategies for testing treatment effect heterogeneity, noting their low power and exploratory use.
Area of Science:
- Clinical Trials Methodology
- Biostatistics
- Pharmacoeconomics
Background:
- Active-controlled clinical trials aim to establish noninferiority of new treatments versus standard ones.
- Stratification of subjects (e.g., by site, demographics) is common, leading to interest in stratum-specific noninferiority.
Purpose of the Study:
- To evaluate interaction tests for assessing heterogeneity of treatment effects in noninferiority trials.
- To present and compare five distinct analysis strategies for testing treatment effect differences across strata.
Main Methods:
- The study proposes five analysis strategies, adapted from those used for superiority trials.
- Simulation studies are conducted to quantify power and Type I error rates under various scenarios.
- An illustrative example demonstrates the application of the proposed tests.
Main Results:
- The power of interaction tests in noninferiority trials is generally low.
- No single analysis strategy is universally optimal across all parameter configurations.
- The proposed tests are most suitable for descriptive or exploratory purposes.
Conclusions:
- Interaction tests can be adapted for noninferiority trials to explore treatment effect heterogeneity.
- The choice of strategy depends on specific trial parameters and objectives.
- Extensions to equivalence testing are also considered, highlighting the nuanced application of these statistical tools.
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