Abstract

A common challenge for the development of drugs in rare diseases and special populations, eg, paediatrics, is the small numbers of patients that can be recruited into clinical trials. Extrapolation can be used to support development and licensing in paediatrics through the structured integration of available data in adults and prospectively generated data in paediatrics to derive conclusions that support licensing decisions in the target paediatric population. In this context, Bayesian analyses have been proposed to obtain formal proof of efficacy of a new drug or therapeutic principle by using additional information (data, opinion, or expectation), expressed through a prior distribution. However, little is said about the impact of the prior assumptions on the evaluation of outcome and prespecified strategies for decision‐making as required in the regulatory context.On the basis of examples, we explore the use of data‐based Bayesian meta‐analytic–predictive methods and compare these approaches with common frequentist and Bayesian meta‐analysis models. Noninformative efficacy prior distributions usually do not change the conclusions irrespective of the chosen analysis method. However, if heterogeneity is considered, conclusions are highly dependent on the heterogeneity prior. When using informative efficacy priors based on previous study data in combination with heterogeneity priors, these may completely determine conclusions irrespective of the data generated in the target population. Thus, it is important to understand the impact of the prior assumptions and ensure that prospective trial data in the target population have an appropriate chance, to change prior belief to avoid trivial and potentially erroneous conclusions.

Highlights

  • In the planning of clinical trials, historical information based on other studies in the same treatment context is always indirectly incorporated in the study design, especially when choosing end points and justifying the assumptions for calculating the sample size

  • The estimated log odds ratio (OR) are quite similar in both models, and both models indicate that it may be unwise to combine the studies for calculation of a joint treatment effect: In the fixed‐effects model the overall treatment effect is significant, the conventionally significant heterogeneity statistics (P = .039), draws the underlying model assumptions into question

  • A quite interesting picture becomes apparent when the random‐effects meta‐analytic predictive (MAP) approach is applied: In case high heterogeneity is assumed through the IG prior, the effect estimate is close to the paediatric study effect, and the prior based on the adult data has less weight in the estimation

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Summary

| INTRODUCTION

In the planning of clinical trials, historical information based on other studies in the same treatment context is always indirectly incorporated in the study design, especially when choosing end points and justifying the assumptions for calculating the sample size. The decision for formal success or failure of each trial should be based on a prespecified primary analysis model and decision strategy so that conclusions cannot be influenced by post hoc choices This is especially important if analyses are extended beyond Frequentist methodology into Bayesian approaches and informative priors are incorporated. The outline of the paper is as follows: In Section 2, we start with a classical example from meta‐analysis in drug licensing where 2 similar sized trials addressing the same question showed contradictory findings This example is used to investigate Bayesian analyses in a scenario of having equal amounts of information in the prior and in the prospective data. The second scenario is chosen to represent heterogeneity with a true log OR marginally greater than the noninferiority margin implying that the hypothesis of inferiority of the experimental drug should not be rejected based on the paediatric trial

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