Evidence map›Paper›PMID 34403756›Full record

ArticleJournal of clinical epidemiology2021

The fragility index can be used for sample size calculations in clinical trials.

Benjamin R Baer, Mario Gaudino, Stephen E Fremes, Mary Charlson, Martin T Wells

Abstract read
In one paragraph

Article in Journal of clinical epidemiology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 20 papers, 3 of them syntheses that pooled it.

0numbers the graph read from it
0cells of the map it votes in
20citing papers in PubMed, 3 pooled it
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

20 citing papers in PubMed, 3 syntheses or guidelines pooled it.

  1. Pooled it
  2. Pooled it
  3. The fragility index and reverse fragility index of FDA investigational device exemption trials in spinal fusion surgery: a systematic review.European spine journal : official publication of the European Spine Society, the European Spinal Deformity Society, and the European Section of the Cervical Spine Research Society · 2024
    Pooled it
  4. Fragility of Evidence for the Efficacy of Anti-Fracture Medications.The Journal of clinical endocrinology and metabolism · 2025
    Article
  5. Review
  6. Half-Dose versus Full Dose of Aprotinin in Cardiac Surgery: A Post-hoc Analysis of the Aprotinin European Registry.European journal of cardio-thoracic surgery : official journal of the European Association for Cardio-thoracic Surgery · 2025
    Article
  7. Article
  8. Assessing robustness of results of randomised clinical trials using Fragility Index.European archives of paediatric dentistry : official journal of the European Academy of Paediatric Dentistry · 2024
    Article
  9. Article
  10. Article
  11. Article
  12. Article
  13. The fragility of significant results from randomized controlled trials in esophageal surgeries.Esophagus : official journal of the Japan Esophageal Society · 2023
    Review
  14. Review
  15. Review
  16. Article
  17. Article
  18. Fragility indices for only sufficiently likely modifications.Proceedings of the National Academy of Sciences of the United States of America · 2021
    Article
  19. Article
  20. Beyond the Fragility Index.Pharmaceutical statistics
    Article
4 · The record

Corrections and comments

5 · Who and what money

Authors and funding

5 authors.

Benjamin R BaerDepartment of Statistics and Data Science, Cornell University, Ithaca, NY, USA. Electronic address: brb225@cornell.edu.
Mario GaudinoDepartment of Cardiothoracic Surgery, Weill Cornell Medicine, New York, NY, USA.
Stephen E FremesSchulich Heart Centre, Sunnybrook Health Science, University of Toronto, Toronto, Ontario, Canada.
Mary CharlsonDepartment of Medicine, Weill Cornell Medicine, New York, NY, USA.
Martin T WellsDepartment of Statistics and Data Science, Cornell University, Ithaca, NY, USA; Department of Medicine, Weill Cornell Medicine, New York, NY, USA.

Funding

Viable but Nonculturable MtbU19AI111143 · NIAID · WEILL MEDICAL COLL OF CORNELL UNIV · PI GLICKMAN, MICHAEL S, NATHAN, CARL FRANCIS · 2014 to 2020
$48.6M
Learning Dynamics of Biological Processes from Time Course Omics DatasetsR01GM135926 · NIGMS · CORNELL UNIVERSITY · PI BASU, SUMANTA · 2019 to 2022
$1.4M
NIAID NIH HHS U19 AI111143NIGMS NIH HHS R01 GM135926
6 · The paper itself

Abstract

objectiveThe fragility index is a clinically interpretable metric increasingly used to interpret the robustness of clinical trials results that is generally not incorporated in sample size calculation and applied post-hoc. In this manuscript, we propose to base the sample size calculation on the fragility index in a way that supplements the classical prefixed alpha and power cutoffs and we provide a dedicated R software package for the design and analysis tools. STUDY DESIGN AND

settingThis approach follows from a novel hypothesis testing framework that is based on the fragility index and builds on the classical testing approach. As case studies, we re-analyse the design of two important trials in cardiovascular medicine, the FAME and FAMOUS-NSTEMI trials.

resultsThe analyses show that approach returns sample sizes which results in a higher power for the P value based test and most importantly a lower and context dependent Type I error rate for the fragility index based test compared to standard tests.

conclusionOur method allows clinicians to control for the fragility index during clinical trial design.

Indexed as

Data Interpretation, StatisticalSample SizeAlgorithmsCardiovascular DiseasesClinical Trials as TopicHumansRandomized Controlled Trials as TopicResearch DesignFragility indexP valueResearch methodsSample size calculationStatistical significanceTrial design

Identifiers

PMID34403756
PMCPMC8665025

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.