Combining estimates of interest in prognostic modelling studies after multiple imputation: current practice and guidelines

<p>Abstract</p> <p>Background</p> <p>Multiple imputation (MI) provides an effective approach to handle missing covariate data within prognostic modelling studies, as it can properly account for the missing data uncertainty. The multiply imputed datasets are each analyse...

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Main Authors: Holder Roger L, Altman Douglas G, Marshall Andrea, Royston Patrick
Format: Article
Language:English
Published: BMC 2009-07-01
Series:BMC Medical Research Methodology
Online Access:http://www.biomedcentral.com/1471-2288/9/57
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author Holder Roger L
Altman Douglas G
Marshall Andrea
Royston Patrick
author_facet Holder Roger L
Altman Douglas G
Marshall Andrea
Royston Patrick
author_sort Holder Roger L
collection DOAJ
description <p>Abstract</p> <p>Background</p> <p>Multiple imputation (MI) provides an effective approach to handle missing covariate data within prognostic modelling studies, as it can properly account for the missing data uncertainty. The multiply imputed datasets are each analysed using standard prognostic modelling techniques to obtain the estimates of interest. The estimates from each imputed dataset are then combined into one overall estimate and variance, incorporating both the within and between imputation variability. Rubin's rules for combining these multiply imputed estimates are based on asymptotic theory. The resulting combined estimates may be more accurate if the posterior distribution of the population parameter of interest is better approximated by the normal distribution. However, the normality assumption may not be appropriate for all the parameters of interest when analysing prognostic modelling studies, such as predicted survival probabilities and model performance measures.</p> <p>Methods</p> <p>Guidelines for combining the estimates of interest when analysing prognostic modelling studies are provided. A literature review is performed to identify current practice for combining such estimates in prognostic modelling studies.</p> <p>Results</p> <p>Methods for combining all reported estimates after MI were not well reported in the current literature. Rubin's rules without applying any transformations were the standard approach used, when any method was stated.</p> <p>Conclusion</p> <p>The proposed simple guidelines for combining estimates after MI may lead to a wider and more appropriate use of MI in future prognostic modelling studies.</p>
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spelling doaj.art-94c00bf82f5149a7827d8058e49881442022-12-22T03:20:35ZengBMCBMC Medical Research Methodology1471-22882009-07-01915710.1186/1471-2288-9-57Combining estimates of interest in prognostic modelling studies after multiple imputation: current practice and guidelinesHolder Roger LAltman Douglas GMarshall AndreaRoyston Patrick<p>Abstract</p> <p>Background</p> <p>Multiple imputation (MI) provides an effective approach to handle missing covariate data within prognostic modelling studies, as it can properly account for the missing data uncertainty. The multiply imputed datasets are each analysed using standard prognostic modelling techniques to obtain the estimates of interest. The estimates from each imputed dataset are then combined into one overall estimate and variance, incorporating both the within and between imputation variability. Rubin's rules for combining these multiply imputed estimates are based on asymptotic theory. The resulting combined estimates may be more accurate if the posterior distribution of the population parameter of interest is better approximated by the normal distribution. However, the normality assumption may not be appropriate for all the parameters of interest when analysing prognostic modelling studies, such as predicted survival probabilities and model performance measures.</p> <p>Methods</p> <p>Guidelines for combining the estimates of interest when analysing prognostic modelling studies are provided. A literature review is performed to identify current practice for combining such estimates in prognostic modelling studies.</p> <p>Results</p> <p>Methods for combining all reported estimates after MI were not well reported in the current literature. Rubin's rules without applying any transformations were the standard approach used, when any method was stated.</p> <p>Conclusion</p> <p>The proposed simple guidelines for combining estimates after MI may lead to a wider and more appropriate use of MI in future prognostic modelling studies.</p>http://www.biomedcentral.com/1471-2288/9/57
spellingShingle Holder Roger L
Altman Douglas G
Marshall Andrea
Royston Patrick
Combining estimates of interest in prognostic modelling studies after multiple imputation: current practice and guidelines
BMC Medical Research Methodology
title Combining estimates of interest in prognostic modelling studies after multiple imputation: current practice and guidelines
title_full Combining estimates of interest in prognostic modelling studies after multiple imputation: current practice and guidelines
title_fullStr Combining estimates of interest in prognostic modelling studies after multiple imputation: current practice and guidelines
title_full_unstemmed Combining estimates of interest in prognostic modelling studies after multiple imputation: current practice and guidelines
title_short Combining estimates of interest in prognostic modelling studies after multiple imputation: current practice and guidelines
title_sort combining estimates of interest in prognostic modelling studies after multiple imputation current practice and guidelines
url http://www.biomedcentral.com/1471-2288/9/57
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