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Sample size considerations for the external validation of a multivariable prognostic model: a resampling study.

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TLDR
This study suggests that externally validating a prognostic model requires a minimum of 100 events and ideally 200 (or more) events, and provides guidance on sample size for investigators designing an external validation study.
Abstract
After developing a prognostic model, it is essential to evaluate the performance of the model in samples independent from those used to develop the model, which is often referred to as external validation. However, despite its importance, very little is known about the sample size requirements for conducting an external validation. Using a large real data set and resampling methods, we investigate the impact of sample size on the performance of six published prognostic models. Focussing on unbiased and precise estimation of performance measures (e.g. the c-index, D statistic and calibration), we provide guidance on sample size for investigators designing an external validation study. Our study suggests that externally validating a prognostic model requires a minimum of 100 events and ideally 200 (or more) events.

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Prediction models for diagnosis and prognosis of covid-19: systematic review and critical appraisal

TL;DR: Proposed models for covid-19 are poorly reported, at high risk of bias, and their reported performance is probably optimistic, according to a review of published and preprint reports.
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PROBAST : A Tool to Assess Risk of Bias and Applicability of Prediction Model Studies: Explanation and Elaboration

TL;DR: The rationale behind the domains and signaling questions, how to use them, and how to reach domain-level and overall judgments about ROB and applicability of primary studies to a review question are described.
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A calibration hierarchy for risk models was defined: from utopia to empirical data.

TL;DR: Strong calibration is desirable for individualized decision support but unrealistic and counter productive by stimulating the development of overly complex models, and model development and external validation should focus on moderate calibration.
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External validation of clinical prediction models using big datasets from e-health records or IPD meta-analysis: opportunities and challenges

TL;DR: Novel opportunities for external validation in big, combined datasets in e-health records and individual participant data meta-analysis are illustrated, drawing attention to methodological challenges and reporting issues.
References
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Book

An introduction to the bootstrap

TL;DR: This article presents bootstrap methods for estimation, using simple arguments, with Minitab macros for implementing these methods, as well as some examples of how these methods could be used for estimation purposes.
Journal ArticleDOI

Multivariable prognostic models: issues in developing models, evaluating assumptions and adequacy, and measuring and reducing errors

TL;DR: In this article, an easily interpretable index of predictive discrimination as well as methods for assessing calibration of predicted survival probabilities are discussed, which are particularly needed for binary, ordinal, and time-to-event outcomes.
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TL;DR: In this article, the authors present a case study in least squares fitting and interpretation of a linear model, where they use nonparametric transformations of X and Y to fit a linear regression model.
Journal ArticleDOI

General Cardiovascular Risk Profile for Use in Primary Care The Framingham Heart Study

TL;DR: A sex-specific multivariable risk factor algorithm can be conveniently used to assess general CVD risk and risk of individual CVD events (coronary, cerebrovascular, and peripheral arterial disease and heart failure) and can be used to quantify risk and to guide preventive care.
Book ChapterDOI

Prognostic/Clinical Prediction Models: Multivariable Prognostic Models: Issues in Developing Models, Evaluating Assumptions and Adequacy, and Measuring and Reducing Errors

TL;DR: An easily interpretable index of predictive discrimination as well as methods for assessing calibration of predicted survival probabilities are discussed, applicable to all regression models, but are particularly needed for binary, ordinal, and time-to-event outcomes.
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