Related Experiment Video
Updated: Jan 22, 2026

Standardization of Basket Use in Sialendoscopy: A Ten-Year Retrospective Study
Published on: June 6, 2025
Optimal two-stage designs for exploratory basket trials
Heng Zhou1, Fang Liu1, Cai Wu1
1Biostatistics and Research Decision Sciences, Merck & Co., Inc, Kenilworth, NJ 07033, USA.
Abstract:
The primary goal of an exploratory oncology clinical trial is to identify an effective drug for further development. To account for tumor indication selection error, multiple tumor indications are often selected for simultaneous testing in a basket trial. In this article, we propose optimal and minimax two-stage basket trial designs for exploratory clinical trials. Inactive tumor indications are pruned in stage 1 and the active tumor indications are pooled at end of stage 2 to assess overall effectiveness of the test drug. The proposed designs explicitly control the type I and type II error rates with closed-form sample size formula. They can be viewed as a natural extension of Simon's optimal and minimax two-stage designs for single arm trials to multi-arm basket trials. A simulation study shows that the proposed design method has desirable operating characteristics as compared to other commonly used design methods for exploratory basket trials.
Insights
This study introduces novel two-stage basket trial designs for exploratory oncology clinical trials. These designs efficiently identify effective drugs by pruning inactive tumor indications and pooling active ones, controlling error rates effectively.
Area of Science:
- Oncology
- Clinical Trial Design
- Biostatistics
Background:
- Exploratory oncology trials aim to identify effective drugs for further development.
- Basket trials test a single drug across multiple tumor indications to mitigate selection errors.
- Existing designs may not optimally balance efficiency and statistical rigor in multi-indication settings.
Purpose of the Study:
- To propose optimal and minimax two-stage basket trial designs for exploratory oncology studies.
- To provide methods that explicitly control type I and type II error rates.
- To offer a framework extending single-arm trial designs to multi-arm basket trials.
Main Methods:
- Development of optimal and minimax two-stage basket trial designs.
- Incorporation of a stage 1 to prune inactive tumor indications.
- Stage 2 involves pooling active indications for overall drug effectiveness assessment.
- Derivation of closed-form sample size formulas.
- Simulation studies to compare performance against existing methods.
Main Results:
- The proposed designs effectively prune inactive tumor indications early in the trial.
- Active indications are pooled in stage 2 for robust effectiveness evaluation.
- The designs offer explicit control over type I and type II error rates.
- Simulation results demonstrate favorable operating characteristics compared to alternative methods.
Conclusions:
- The proposed two-stage basket trial designs provide an efficient and statistically sound approach for exploratory oncology.
- These designs represent a valuable extension of established single-arm trial methodologies to multi-arm settings.
- The methods facilitate better drug candidate selection in early-phase oncology research.
Related Concept Videos
Clinical Trials
There are four phases in a clinical trial. A phase one...
Clinical Trials: Overview
Trial and Error and Algorithm
Group Design
Factorial Design
Optimal Foraging

