Two new approaches for the visualisation of models for network meta-analysis

Abstract Background Meta-analysis is a useful tool for combining evidence from multiple studies to estimate a pooled treatment effect. An extension of meta-analysis, network meta-analysis, is becoming more commonly used as a way to simultaneously compare multiple treatments in a single analysis. Des...

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Main Authors: Martin Law, Navid Alam, Areti Angeliki Veroniki, Yi Yu, Dan Jackson
Format: Article
Language:English
Published: BMC 2019-03-01
Series:BMC Medical Research Methodology
Subjects:
Online Access:http://link.springer.com/article/10.1186/s12874-019-0689-9
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spelling doaj-a52c9c7eb9cf4eedaa98088175cc39c62020-11-25T03:15:07ZengBMCBMC Medical Research Methodology1471-22882019-03-0119111810.1186/s12874-019-0689-9Two new approaches for the visualisation of models for network meta-analysisMartin Law0Navid Alam1Areti Angeliki Veroniki2Yi Yu3Dan Jackson4MRC Biostatistics UnitStatistical Laboratory, University of CambridgeLi Ka Shing Knowledge Institute, St. Michael’s HospitalSchool of Mathematics, University of BristolStatistical Innovation Group, Advanced Analytics Centre, AstraZeneca CambridgeAbstract Background Meta-analysis is a useful tool for combining evidence from multiple studies to estimate a pooled treatment effect. An extension of meta-analysis, network meta-analysis, is becoming more commonly used as a way to simultaneously compare multiple treatments in a single analysis. Despite the variety of approaches available for presenting fitted models, ascertaining an intuitive understanding of these models is often difficult. This is especially challenging in large networks with many different treatments. Here we propose two visualisation methods, so that network meta-analysis models can be more easily interpreted. Methods Our methods can be used irrespective of the statistical model or the estimation method used and are grounded in network analysis. We define three types of distance measures between the treatments that contribute to the network. These three distance measures are based on 1) the estimated treatment effects, 2) their standard errors and 3) the corresponding p-values. Then, by using a suitable threshold, we categorise some treatment pairs as being “close” (short distances). Treatments that are close are regarded as “connected” in the network analysis theory. Finally, we group the treatments into communities using standard methods for network analysis. We are then able to identify which parts of the network are estimated to have similar (or different) treatment efficacy and which parts of the network are better identified. We also propose a second method using parametric bootstrapping, where a heat map is used in the visualisation. We use the software R and provide the code used. Results We illustrate our new methods using a challenging dataset containing 22 treatments, and a previously fitted model for this data. Two communities of treatments that appear to have similar efficacy are identified. Furthermore using our methods we can identify parts of the network that are better (and less well) identified. Conclusions Our new visualisation approaches may be used by network meta-analysts to gain an intuitive understanding of the implications of their fitted models. Our visualisation methods may be used informally, to identify the most salient features of the fitted models that can then be reported, or more formally by presenting the new visualisation devices within published reports.http://link.springer.com/article/10.1186/s12874-019-0689-9Network meta-analysisNetwork analysisVisualisation
collection DOAJ
language English
format Article
sources DOAJ
author Martin Law
Navid Alam
Areti Angeliki Veroniki
Yi Yu
Dan Jackson
spellingShingle Martin Law
Navid Alam
Areti Angeliki Veroniki
Yi Yu
Dan Jackson
Two new approaches for the visualisation of models for network meta-analysis
BMC Medical Research Methodology
Network meta-analysis
Network analysis
Visualisation
author_facet Martin Law
Navid Alam
Areti Angeliki Veroniki
Yi Yu
Dan Jackson
author_sort Martin Law
title Two new approaches for the visualisation of models for network meta-analysis
title_short Two new approaches for the visualisation of models for network meta-analysis
title_full Two new approaches for the visualisation of models for network meta-analysis
title_fullStr Two new approaches for the visualisation of models for network meta-analysis
title_full_unstemmed Two new approaches for the visualisation of models for network meta-analysis
title_sort two new approaches for the visualisation of models for network meta-analysis
publisher BMC
series BMC Medical Research Methodology
issn 1471-2288
publishDate 2019-03-01
description Abstract Background Meta-analysis is a useful tool for combining evidence from multiple studies to estimate a pooled treatment effect. An extension of meta-analysis, network meta-analysis, is becoming more commonly used as a way to simultaneously compare multiple treatments in a single analysis. Despite the variety of approaches available for presenting fitted models, ascertaining an intuitive understanding of these models is often difficult. This is especially challenging in large networks with many different treatments. Here we propose two visualisation methods, so that network meta-analysis models can be more easily interpreted. Methods Our methods can be used irrespective of the statistical model or the estimation method used and are grounded in network analysis. We define three types of distance measures between the treatments that contribute to the network. These three distance measures are based on 1) the estimated treatment effects, 2) their standard errors and 3) the corresponding p-values. Then, by using a suitable threshold, we categorise some treatment pairs as being “close” (short distances). Treatments that are close are regarded as “connected” in the network analysis theory. Finally, we group the treatments into communities using standard methods for network analysis. We are then able to identify which parts of the network are estimated to have similar (or different) treatment efficacy and which parts of the network are better identified. We also propose a second method using parametric bootstrapping, where a heat map is used in the visualisation. We use the software R and provide the code used. Results We illustrate our new methods using a challenging dataset containing 22 treatments, and a previously fitted model for this data. Two communities of treatments that appear to have similar efficacy are identified. Furthermore using our methods we can identify parts of the network that are better (and less well) identified. Conclusions Our new visualisation approaches may be used by network meta-analysts to gain an intuitive understanding of the implications of their fitted models. Our visualisation methods may be used informally, to identify the most salient features of the fitted models that can then be reported, or more formally by presenting the new visualisation devices within published reports.
topic Network meta-analysis
Network analysis
Visualisation
url http://link.springer.com/article/10.1186/s12874-019-0689-9
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