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Unbiased estimation of selected treatment means in two-stage trials
1MRC Biostatistics Unit, Cambridge, CB2 0SR, UK. jack.bowden@mrc-bsu.cam.ac.uk
Abstract:
Straightforward estimation of a treatment's effect in an adaptive clinical trial can be severely hindered when it has been chosen from a larger group of potential candidates. This is because selection mechanisms that condition on the rank order of treatment statistics introduce bias. Nevertheless, designs of this sort are seen as a practical and efficient way to fast track the most promising compounds in drug development. In this paper we extend the method of Cohen and Sackrowitz (1989) who proposed a two-stage unbiased estimate for the best performing treatment at interim. This enables their estimate to work for unequal stage one and two sample sizes, and also when the quantity of interest is the best, second best, or j -th best treatment out of k. The implications of this new flexibility are explored via simulation.
Insights
This study introduces an improved unbiased estimation method for adaptive clinical trials, enabling accurate selection of top-performing treatments even with unequal sample sizes and for various ranks (j-th best). Simulations explore the benefits of this flexible approach.
Area of Science:
- Biostatistics
- Clinical Trial Design
- Pharmaceutical Development
Background:
- Adaptive clinical trials accelerate drug development by selecting promising treatments early.
- Treatment selection based on rank order can introduce bias in effect estimation.
- Existing unbiased estimation methods have limitations regarding sample sizes and rank flexibility.
Purpose of the Study:
- To extend existing unbiased estimation methods for adaptive clinical trials.
- To address bias introduced by treatment selection mechanisms.
- To provide a flexible estimation framework for identifying top-ranked treatments.
Main Methods:
- Extension of the Cohen and Sackrowitz (1989) two-stage unbiased estimation method.
- Adaptation for unequal sample sizes across trial stages.
- Application to estimate the best, second best, or j-th best treatment effect.
Main Results:
- The extended method provides unbiased estimates for various treatment ranks.
- The approach accommodates unequal sample sizes in stage one and stage two.
- Simulations demonstrate the practical implications of this enhanced flexibility.
Conclusions:
- The developed method offers a more flexible and unbiased approach to treatment effect estimation in adaptive trials.
- This enhances the ability to accurately identify and fast-track promising drug candidates.
- The findings have significant implications for optimizing clinical trial efficiency and drug discovery.
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