Assessing Discriminative Performance at External Validation of Clinical Prediction Models.

INTRODUCTION:External validation studies are essential to study the generalizability of prediction models. Recently a permutation test, focusing on discrimination as quantified by the c-statistic, was proposed to judge whether a prediction model is transportable to a new setting. We aimed to evaluat...

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Main Authors: Daan Nieboer, Tjeerd van der Ploeg, Ewout W Steyerberg
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2016-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4755533?pdf=render
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author Daan Nieboer
Tjeerd van der Ploeg
Ewout W Steyerberg
author_facet Daan Nieboer
Tjeerd van der Ploeg
Ewout W Steyerberg
author_sort Daan Nieboer
collection DOAJ
description INTRODUCTION:External validation studies are essential to study the generalizability of prediction models. Recently a permutation test, focusing on discrimination as quantified by the c-statistic, was proposed to judge whether a prediction model is transportable to a new setting. We aimed to evaluate this test and compare it to previously proposed procedures to judge any changes in c-statistic from development to external validation setting. METHODS:We compared the use of the permutation test to the use of benchmark values of the c-statistic following from a previously proposed framework to judge transportability of a prediction model. In a simulation study we developed a prediction model with logistic regression on a development set and validated them in the validation set. We concentrated on two scenarios: 1) the case-mix was more heterogeneous and predictor effects were weaker in the validation set compared to the development set, and 2) the case-mix was less heterogeneous in the validation set and predictor effects were identical in the validation and development set. Furthermore we illustrated the methods in a case study using 15 datasets of patients suffering from traumatic brain injury. RESULTS:The permutation test indicated that the validation and development set were homogenous in scenario 1 (in almost all simulated samples) and heterogeneous in scenario 2 (in 17%-39% of simulated samples). Previously proposed benchmark values of the c-statistic and the standard deviation of the linear predictors correctly pointed at the more heterogeneous case-mix in scenario 1 and the less heterogeneous case-mix in scenario 2. CONCLUSION:The recently proposed permutation test may provide misleading results when externally validating prediction models in the presence of case-mix differences between the development and validation population. To correctly interpret the c-statistic found at external validation it is crucial to disentangle case-mix differences from incorrect regression coefficients.
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spelling doaj.art-18b43fa41cf1463a99bb660373c795082022-12-21T19:09:58ZengPublic Library of Science (PLoS)PLoS ONE1932-62032016-01-01112e014882010.1371/journal.pone.0148820Assessing Discriminative Performance at External Validation of Clinical Prediction Models.Daan NieboerTjeerd van der PloegEwout W SteyerbergINTRODUCTION:External validation studies are essential to study the generalizability of prediction models. Recently a permutation test, focusing on discrimination as quantified by the c-statistic, was proposed to judge whether a prediction model is transportable to a new setting. We aimed to evaluate this test and compare it to previously proposed procedures to judge any changes in c-statistic from development to external validation setting. METHODS:We compared the use of the permutation test to the use of benchmark values of the c-statistic following from a previously proposed framework to judge transportability of a prediction model. In a simulation study we developed a prediction model with logistic regression on a development set and validated them in the validation set. We concentrated on two scenarios: 1) the case-mix was more heterogeneous and predictor effects were weaker in the validation set compared to the development set, and 2) the case-mix was less heterogeneous in the validation set and predictor effects were identical in the validation and development set. Furthermore we illustrated the methods in a case study using 15 datasets of patients suffering from traumatic brain injury. RESULTS:The permutation test indicated that the validation and development set were homogenous in scenario 1 (in almost all simulated samples) and heterogeneous in scenario 2 (in 17%-39% of simulated samples). Previously proposed benchmark values of the c-statistic and the standard deviation of the linear predictors correctly pointed at the more heterogeneous case-mix in scenario 1 and the less heterogeneous case-mix in scenario 2. CONCLUSION:The recently proposed permutation test may provide misleading results when externally validating prediction models in the presence of case-mix differences between the development and validation population. To correctly interpret the c-statistic found at external validation it is crucial to disentangle case-mix differences from incorrect regression coefficients.http://europepmc.org/articles/PMC4755533?pdf=render
spellingShingle Daan Nieboer
Tjeerd van der Ploeg
Ewout W Steyerberg
Assessing Discriminative Performance at External Validation of Clinical Prediction Models.
PLoS ONE
title Assessing Discriminative Performance at External Validation of Clinical Prediction Models.
title_full Assessing Discriminative Performance at External Validation of Clinical Prediction Models.
title_fullStr Assessing Discriminative Performance at External Validation of Clinical Prediction Models.
title_full_unstemmed Assessing Discriminative Performance at External Validation of Clinical Prediction Models.
title_short Assessing Discriminative Performance at External Validation of Clinical Prediction Models.
title_sort assessing discriminative performance at external validation of clinical prediction models
url http://europepmc.org/articles/PMC4755533?pdf=render
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AT tjeerdvanderploeg assessingdiscriminativeperformanceatexternalvalidationofclinicalpredictionmodels
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