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Bayesian Design for Pediatric Clinical Trials with Binary Endpoints When Borrowing Historical Information of
Man Jin1,2, Qing Li3, Amarjot Kaur3
1Biostatistics and Research Decision Sciences, MRL, Merck & Co., Inc., Rahway, NJ, 07065, USA. mj2149@gmail.com.
Insights
This study enhances Bayesian methods for pediatric drug trials, enabling efficient use of historical data from multiple trials to reduce sample sizes. The approach is extended for both continuous and binary endpoints, improving pediatric efficacy evaluation.
Area of Science:
- Biostatistics
- Clinical Pharmacology
- Pediatric Drug Development
Background:
- Pediatric efficacy evaluation is crucial for drug development but faces enrollment challenges, especially for rare diseases.
- Bayesian frameworks offer methods to leverage historical data, potentially increasing pediatric trial efficiency and reducing sample sizes.
Purpose of the Study:
- To extend existing Bayesian hierarchical models for pediatric efficacy extrapolation.
- To develop methods for efficiently borrowing strength from multiple historical trials.
- To adapt models for both continuous and binary endpoints in pediatric drug development.
Main Methods:
- Extension of Schoenfeld et al.'s Bayesian hierarchical model to incorporate multiple historical trials.
- Development of a quantitative method for efficient historical information borrowing.
- Adaptation of the model for binary endpoints using a hierarchical binomial model.
Main Results:
- The proposed methods allow for more efficient utilization of historical data from multiple sources.
- The extended model successfully extrapolates efficacy for both continuous and binary endpoints.
- Simulations and a case study demonstrate the practical application and robustness of the methods.
Conclusions:
- The enhanced Bayesian approach improves the efficiency of pediatric drug trials by effectively utilizing historical data.
- The methods provide a flexible framework for efficacy extrapolation across different endpoint types.
- Careful consideration of prior distributions and sensitivity analyses are important for reliable application.
Abstract:
The efficacy evaluation in pediatric population is an important component of drug development and is generally required by the regulatory agencies. It is often challenging to enroll pediatric subjects for a large trial especially when the incidence rate is low in certain disease areas. Bayesian framework can provide analytic avenues to effectively utilize historical information of the treatment effect and help make pediatric trials more efficient by reducing the sample size when there is evidence to suggest similarity of the treatment responses between the populations. Schoenfeld et al. (Clin Trials 6(4):297-304, 2009) proposed a Bayesian hierarchical model for efficacy extrapolation for continuous endpoints, which connects a single historical trial and the current trial by a variance parameter in the prior distribution. In this manuscript, we extend the existing model to borrow strength from multiple historical trials under the same assumptions and develop a quantitative method to borrow historical information more efficiently. Furthermore, we extend Schoenfeld's method based on continuous endpoints to binary endpoints with a hierarchical binomial model to extrapolate efficacy. Sensitivity analyses for the underlying assumptions are discussed with simulations and the methods are illustrated with a real case study, along with some practical considerations about how to choose the prior distribution.
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