External validation of prognostic models for critically ill patients required substantial sample sizes
Abstract
Objective To investigate the behavior of predictive performance measures that are commonly used in external validation of prognostic models for outcome at intensive care units (ICUs).Study design and setting Four prognostic models (Simplified Acute Physiology Score II, the Acute Physiology and Chronic Health Evaluation II, and the Mortality Probability Models II) were evaluated in the Dutch National Intensive Care Evaluation registry database. For each model discrimination (AUC), accuracy (Brier score), and two calibration measures were assessed on data from 41,239 ICU admissions. This validation procedure was repeated with smaller subsamples randomly drawn from the database, and the results were compared with those obtained on the entire data set.Results Differences in performance between the models were small. The AUC and Brier score showed large variation with small samples. Standard errors of AUC values were accurate but the power to detect differences in performance was low. Calibration tests were extremely sensitive to sample size. Direct comparison of performance, without statistical analysis, was unreliable with either measure.Conclusion Substantial sample sizes are required for performance assessment and model comparison in external validation. Calibration statistics and significance tests should not be used in these settings. Instead, a simple customization method to repair lack-of-fit problems is recommended.
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Often, more data are needed when comparing calibration between models.
“Often, more data are needed when comparing calibration between models.”
From Evaluation of performance measures in predictive artificial intelligence models to support medical decisions: overview and guidance (2025) · cites this paper as [101]
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External validation of two diabetes risk scores in a young UK South Asian population
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- Authors
- Peek, N., Arts, D. G. T., Bosman, R. J., van der Voort, P. H. J., & de Keizer, N. F.
- Affiliations
- Amsterdam UMC Location University of Amsterdam (NL)
- OLVG (NL)
- Corresponding author
- Peek, N.
- ORCID
- Peek, N.
- Venue
- Journal of Clinical Epidemiology
- Publisher
- Elsevier BV
- Published
- 2007-05
- Volume
- 60
- Issue
- 5
- Pages
- 491.e1-491.e13
- ISSN
- 0895-4356 (ISSN-L)
- OpenAlex
- W1997812541
- Cited by
- 92
- References
- 35
- Citations by year
- 2026: 1 · 2025: 5 · 2024: 4 · 2023: 5 · 2022: 6 · 2021: 2 · 2020: 4 · 2019: 4 · 2018: 3 · 2017: 5 · 2016: 5 · 2015: 8 · 2014: 10 · 2013: 3 · 2012: 4
- FWCI
- 6.63
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Clinical Epidemiology (publishedVersion)
- PubMed (publishedVersion)
- Pure Amsterdam UMC (publishedVersion)
- Data Archiving and Networked Services (DANS) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Health Sciences › Medicine › Epidemiology › Sepsis Diagnosis and Treatment
- Physical Sciences › Computer Science › Artificial Intelligence › Machine Learning in Healthcare
- Keywords
- external validation, prognostic model, intensive care unit, sample size, model discrimination, calibration, AUC, Brier score, APACHE II score, SAPS II, ICU mortality prediction, lack of fit, model comparison
- MeSH terms
- Aged, Calibration, Epidemiologic Methods, Female, Humans, Intensive Care Units, Male, Middle Aged, Netherlands, Prognosis, Critical Illness, Outcome Assessment, Health Care
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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