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Published on: September 20, 2019
Optimal adaptive two-stage designs for phase II cancer clinical trials
Stefan Englert1, Meinhard Kieser
1Institute of Medical Biometry and Informatics, University of Heidelberg, Im Neuenheimer Feld 305, D-69120 Heidelberg, Germany.
Abstract:
In oncology, single-arm two-stage designs with binary endpoint are widely applied in phase II for the development of cytotoxic cancer therapies. Simon's optimal design with prefixed sample sizes in both stages minimizes the expected sample size under the null hypothesis and is one of the most popular designs. The search algorithms that are currently used to identify phase II designs showing prespecified characteristics are computationally intensive. For this reason, most authors impose restrictions on their search procedure. However, it remains unclear to what extent this approach influences the optimality of the resulting designs. This article describes an extension to fixed sample size phase II designs by allowing the sample size of stage two to depend on the number of responses observed in the first stage. Furthermore, we present a more efficient numerical algorithm that allows for an exhaustive search of designs. Comparisons between designs presented in the literature and the proposed optimal adaptive designs show that while the improvements are generally moderate, notable reductions in the average sample size can be achieved for specific parameter constellations when applying the new method and search strategy.
Insights
This study introduces adaptive phase II oncology trial designs, improving upon Simon's optimal design. New methods reduce average sample size in early cancer drug development by allowing stage two sample size adjustments.
Area of Science:
- Oncology
- Clinical Trial Design
- Biostatistics
Background:
- Single-arm, two-stage designs are standard for phase II oncology trials, particularly for cytotoxic therapies.
- Simon's optimal design is popular for minimizing sample size under the null hypothesis but uses computationally intensive search algorithms.
- Current search methods often restrict parameters, potentially compromising design optimality.
Purpose of the Study:
- To extend fixed sample size phase II designs by incorporating adaptive stage two sample sizes based on early results.
- To develop a more efficient numerical algorithm for an exhaustive search of optimal phase II designs.
- To compare the performance of proposed adaptive designs against existing literature designs.
Main Methods:
- Developed an adaptive phase II design where the second stage sample size is contingent on the number of responses in the first stage.
- Implemented a novel, efficient numerical algorithm to facilitate a comprehensive search for optimal designs.
- Conducted comparative analyses between the new adaptive designs and traditional fixed sample size designs.
Main Results:
- The proposed adaptive designs, identified through an exhaustive search, offer improvements over existing phase II designs.
- While overall sample size reductions are often moderate, significant decreases are achievable for specific parameter settings.
- The new search strategy enhances the efficiency of identifying optimal adaptive designs.
Conclusions:
- Adaptive phase II designs can lead to more efficient sample size utilization in oncology drug development.
- The developed numerical algorithm enables a more thorough exploration of the design space, potentially uncovering superior designs.
- This work provides a valuable alternative for optimizing phase II clinical trial designs in cancer research.
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