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Statistics in Medicine
Article . 2025 . Peer-reviewed
License: Wiley Online Library User Agreement
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2024
License: CC BY NC ND
Data sources: Datacite
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Prior Effective Sample Size When Borrowing on the Treatment Effect Scale

Authors: Hongtao Zhang; Keaven M. Anderson; Zachary Zimmer; Gregory Golm; Aditi Sapre; Joseph G. Ibrahim;

Prior Effective Sample Size When Borrowing on the Treatment Effect Scale

Abstract

ABSTRACT With the robust uptick in the applications of Bayesian external data borrowing, eliciting a prior distribution with the proper amount of information becomes increasingly critical. The prior effective sample size (ESS) is an intuitive and efficient measure for this purpose. The majority of ESS definitions have been proposed in the context of borrowing control information. Meanwhile, Bayesian borrowing is frequently conducted on the treatment effect scale to extrapolate evidence in pediatric or global trials. While many Bayesian models can be naturally extended to leveraging external information on the treatment effect scale, very little attention has been directed to computing the prior ESS in this setting. In this research, we bridge this methodological gap by extending the popular expected local information ratio (ELIR) ESS definition. We lay out the general framework, and derive the ESS for various types of endpoints and treatment effect measures. The desirable predictive consistency property of ELIR ESS is examined and found to only be preserved for the difference between two normal endpoints. The methods are implemented in R programs available on GitHub: https://github.com/squallteo/TrtEffESS .

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Keywords

Methodology (stat.ME), FOS: Computer and information sciences, Clinical Trials as Topic, Treatment Outcome, Models, Statistical, Sample Size, Data Interpretation, Statistical, Humans, Bayes Theorem, Computer Simulation, Statistics - Methodology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green