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Deriving percentage study weights in multi-parameter meta-analysis models: with application to meta-regression, network meta-analysis and one-stage individual participant data models
Many meta-analysis models contain multiple parameters, for example due to multiple outcomes, multiple treatments or multiple regression coefficients. In particular, meta-regression models may contain multiple study-level covariates, and one-stage individual participant data meta-analysis models may...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
SAGE Publications
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6146321/ https://www.ncbi.nlm.nih.gov/pubmed/28162044 http://dx.doi.org/10.1177/0962280216688033 |
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author | Riley, Richard D Ensor, Joie Jackson, Dan Burke, Danielle L |
author_facet | Riley, Richard D Ensor, Joie Jackson, Dan Burke, Danielle L |
author_sort | Riley, Richard D |
collection | PubMed |
description | Many meta-analysis models contain multiple parameters, for example due to multiple outcomes, multiple treatments or multiple regression coefficients. In particular, meta-regression models may contain multiple study-level covariates, and one-stage individual participant data meta-analysis models may contain multiple patient-level covariates and interactions. Here, we propose how to derive percentage study weights for such situations, in order to reveal the (otherwise hidden) contribution of each study toward the parameter estimates of interest. We assume that studies are independent, and utilise a decomposition of Fisher’s information matrix to decompose the total variance matrix of parameter estimates into study-specific contributions, from which percentage weights are derived. This approach generalises how percentage weights are calculated in a traditional, single parameter meta-analysis model. Application is made to one- and two-stage individual participant data meta-analyses, meta-regression and network (multivariate) meta-analysis of multiple treatments. These reveal percentage study weights toward clinically important estimates, such as summary treatment effects and treatment-covariate interactions, and are especially useful when some studies are potential outliers or at high risk of bias. We also derive percentage study weights toward methodologically interesting measures, such as the magnitude of ecological bias (difference between within-study and across-study associations) and the amount of inconsistency (difference between direct and indirect evidence in a network meta-analysis). |
format | Online Article Text |
id | pubmed-6146321 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | SAGE Publications |
record_format | MEDLINE/PubMed |
spelling | pubmed-61463212018-10-01 Deriving percentage study weights in multi-parameter meta-analysis models: with application to meta-regression, network meta-analysis and one-stage individual participant data models Riley, Richard D Ensor, Joie Jackson, Dan Burke, Danielle L Stat Methods Med Res Articles Many meta-analysis models contain multiple parameters, for example due to multiple outcomes, multiple treatments or multiple regression coefficients. In particular, meta-regression models may contain multiple study-level covariates, and one-stage individual participant data meta-analysis models may contain multiple patient-level covariates and interactions. Here, we propose how to derive percentage study weights for such situations, in order to reveal the (otherwise hidden) contribution of each study toward the parameter estimates of interest. We assume that studies are independent, and utilise a decomposition of Fisher’s information matrix to decompose the total variance matrix of parameter estimates into study-specific contributions, from which percentage weights are derived. This approach generalises how percentage weights are calculated in a traditional, single parameter meta-analysis model. Application is made to one- and two-stage individual participant data meta-analyses, meta-regression and network (multivariate) meta-analysis of multiple treatments. These reveal percentage study weights toward clinically important estimates, such as summary treatment effects and treatment-covariate interactions, and are especially useful when some studies are potential outliers or at high risk of bias. We also derive percentage study weights toward methodologically interesting measures, such as the magnitude of ecological bias (difference between within-study and across-study associations) and the amount of inconsistency (difference between direct and indirect evidence in a network meta-analysis). SAGE Publications 2017-02-06 2018-10 /pmc/articles/PMC6146321/ /pubmed/28162044 http://dx.doi.org/10.1177/0962280216688033 Text en © The Author(s) 2017 http://creativecommons.org/licenses/by/3.0/ This article is distributed under the terms of the Creative Commons Attribution 3.0 License (http://www.creativecommons.org/licenses/by/3.0/) which permits any use, reproduction and distribution of the work without further permission provided the original work is attributed as specified on the SAGE and Open Access pages (https://us.sagepub.com/en-us/nam/open-access-at-sage). |
spellingShingle | Articles Riley, Richard D Ensor, Joie Jackson, Dan Burke, Danielle L Deriving percentage study weights in multi-parameter meta-analysis models: with application to meta-regression, network meta-analysis and one-stage individual participant data models |
title | Deriving percentage study weights in multi-parameter meta-analysis
models: with application to meta-regression, network meta-analysis and one-stage
individual participant data models |
title_full | Deriving percentage study weights in multi-parameter meta-analysis
models: with application to meta-regression, network meta-analysis and one-stage
individual participant data models |
title_fullStr | Deriving percentage study weights in multi-parameter meta-analysis
models: with application to meta-regression, network meta-analysis and one-stage
individual participant data models |
title_full_unstemmed | Deriving percentage study weights in multi-parameter meta-analysis
models: with application to meta-regression, network meta-analysis and one-stage
individual participant data models |
title_short | Deriving percentage study weights in multi-parameter meta-analysis
models: with application to meta-regression, network meta-analysis and one-stage
individual participant data models |
title_sort | deriving percentage study weights in multi-parameter meta-analysis
models: with application to meta-regression, network meta-analysis and one-stage
individual participant data models |
topic | Articles |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6146321/ https://www.ncbi.nlm.nih.gov/pubmed/28162044 http://dx.doi.org/10.1177/0962280216688033 |
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