An optimal two-stage exploratory basket trial design with aggregated futility analysis
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Updated: Sep 28, 2025

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Published on: September 20, 2019
Naimin Jing1, Fang Liu2, Cai Iris Wu3
1Department of Biostatistics, Epidemiology, and Informatics, University of Pennsylvania, Philadelphia, PA19104, USA.
Abstract:
A basket trial investigates the effects of one drug on multiple tumor indications. To discontinue potentially inactive indications early, an interim futility analysis is usually conducted for each indication individually once it reaches the pre-specified sample size. As enrollment rates vary among indications, the futility decisions for slow-enrolling indications could be made much later than other fast-enrolling indications, which could delay the overall decision for the trial significantly. To accelerate the futility decision in early-stage exploratory basket trials and potentially reallocate resources to other compounds earlier while still controlling the global type-I and type-II errors, we propose an optimal two-stage basket trial design with one aggregated futility analysis by aggregating (e.g., pooling) all indications together. The total sample size across all indications is pre-specified for the futility analysis, while the sample size per indication can be adapted to the enrollment rate. The final analysis is performed using the pruning and pooling approach (Chen et al. 2016). The design parameters are optimized by minimizing the expected total sample size under the null hypothesis, while explicitly controlling the global type-I and the type-II error rates. Simulation studies demonstrate that the proposed design has better operating characteristics than the designs with individual futility analysis (Zhou et al. 2019; Wu et al. 2021), while allowing for earlier futility decision.
Insights
This study proposes an innovative two-stage basket trial design for drug development. It uses a single, aggregated futility analysis to speed up decisions and optimize resource allocation in early-stage trials.
Area of Science:
- Clinical Trials
- Biostatistics
- Pharmacology
Background:
- Basket trials evaluate one drug across multiple tumor types, often using individual interim futility analyses per indication.
- Variable enrollment rates can significantly delay overall trial decisions due to slow-enrolling indications.
- Early discontinuation of ineffective indications is crucial for efficient drug development.
Purpose of the Study:
- To propose an optimal two-stage basket trial design with an aggregated futility analysis.
- To accelerate futility decisions and enable earlier resource reallocation in exploratory basket trials.
- To maintain control over global type-I and type-II error rates.
Main Methods:
- An aggregated, two-stage futility analysis is proposed, pooling data across all indications.
- Sample size per indication is adaptive to enrollment rates, with a pre-specified total sample size for the futility analysis.
- Design parameters are optimized to minimize expected total sample size under the null hypothesis.
- The final analysis employs a pruning and pooling approach.
Main Results:
- The proposed aggregated futility analysis design allows for earlier futility decisions compared to individual analyses.
- Simulation studies indicate superior operating characteristics compared to existing designs.
- The design effectively controls global type-I and type-II error rates.
Conclusions:
- The proposed optimal two-stage basket trial design enhances efficiency in early-stage drug development.
- Aggregated futility analysis accelerates decision-making and resource management.
- This approach offers improved performance over traditional individual futility analysis methods.
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