A Microsoft-Excel-based tool for running and critically appraising network meta-analyses—an overview and application of NetMetaXL
- Stephen Brown†1,
- Brian Hutton2,
- Tammy Clifford3, 4,
- Doug Coyle4,
- Daniel Grima1,
- George Wells4, 5 and
- Chris Cameron†2, 3, 4Email author
© Brown et al.; licensee BioMed Central Ltd. 2014
Received: 1 June 2014
Accepted: 28 August 2014
Published: 29 September 2014
The use of network meta-analysis has increased dramatically in recent years. WinBUGS, a freely available Bayesian software package, has been the most widely used software package to conduct network meta-analyses. However, the learning curve for WinBUGS can be daunting, especially for new users. Furthermore, critical appraisal of network meta-analyses conducted in WinBUGS can be challenging given its limited data manipulation capabilities and the fact that generation of graphical output from network meta-analyses often relies on different software packages than the analyses themselves.
We developed a freely available Microsoft-Excel-based tool called NetMetaXL, programmed in Visual Basic for Applications, which provides an interface for conducting a Bayesian network meta-analysis using WinBUGS from within Microsoft Excel. . This tool allows the user to easily prepare and enter data, set model assumptions, and run the network meta-analysis, with results being automatically displayed in an Excel spreadsheet. It also contains macros that use NetMetaXL’s interface to generate evidence network diagrams, forest plots, league tables of pairwise comparisons, probability plots (rankograms), and inconsistency plots within Microsoft Excel. All figures generated are publication quality, thereby increasing the efficiency of knowledge transfer and manuscript preparation.
We demonstrate the application of NetMetaXL using data from a network meta-analysis published previously which compares combined resynchronization and implantable defibrillator therapy in left ventricular dysfunction. We replicate results from the previous publication while demonstrating result summaries generated by the software.
Use of the freely available NetMetaXL successfully demonstrated its ability to make running network meta-analyses more accessible to novice WinBUGS users by allowing analyses to be conducted entirely within Microsoft Excel. NetMetaXL also allows for more efficient and transparent critical appraisal of network meta-analyses, enhanced standardization of reporting, and integration with health economic evaluations which are frequently Excel-based.
KeywordsNetwork meta-analysis Software Microsoft Excel WinBUGS Systematic review Health technology assessment
Meta-analysis is a statistical method commonly used to combine summary estimates of treatment effects from a collection of studies to establish the benefits and harms of competing interventions. An important limitation of standard meta-analysis (i.e., pairwise meta-analysis) is that it compares only two treatments at a time . However, many medical conditions exist for which there are a multitude of possible treatment alternatives. Accordingly, new meta-analytic methods have emerged which permit simultaneous comparison of multiple treatments. This new method is referred to as network meta-analysis (NMA) (other terms such as mixed-treatment comparison meta-analysis and multiple treatments meta-analysis have also been used) [1, 2]. Not surprisingly, the increasing need to compare multiple treatments for medical conditions has been mirrored by the dramatic rise in the use of network meta-analysis in recent years [3, 4].
Both Frequentist and Bayesian approaches for conducting network meta-analysis are feasible [1, 5–7]. Among them, the latter has been the more commonly used framework, likely because the methods have evolved more quickly, because Bayesian methods provide greater flexibility to use more complex models and different outcome types, and because Bayesian methods are easily integrated into health economic evaluations. WinBUGS is a freely available software package available for Bayesian data analysis and has been the most widely used package to conduct network meta-analyses to date . However, the learning curve for using WinBUGS to conduct network meta-analyses successfully can be daunting for new users, given the challenges of understanding WinBUGS code. WinBUGS also has limited data manipulation, data annotation, and graphical illustration capabilities. Given these challenges, the preparation of tables and figures to present insightful summaries of findings from network meta-analyses often requires use of an additional software package , thereby adding time and an additional layer of complexity to complete reports. As a result, current approaches do not allow analysts to simply update and reanalyze models quickly and efficiently. Further, the variability in software used and the lack of standardization has led to inconsistency in the reporting of analyses to health technology assessment (HTA) organizations and journals, thereby complicating the review process. Given these challenges, more user-friendly software is needed to facilitate the ability to perform, consistently report, and critically appraise network meta-analyses for a broader group of researchers. More integrated and user-friendly software will dramatically improve the transparency and reproducibility of findings from network meta-analyses.
The objectives of this paper are to use an illustrative example to demonstrate how our Microsoft-Excel-based Network Meta-analysis Tool (NetMetaXL) can be used to simplify running and reporting network meta-analyses and to highlight how NetMetaXL can be used to facilitate consistent reporting and more efficient and transparent critical appraisal of network meta-analyses submitted to HTA organizations such as the Canadian Agency for Drugs and Technologies in Health (CADTH) and the National Institute for Health and Care Excellence (NICE), as well as to journals which publish network meta-analyses.
The illustrative example
Dataset used for illustrative example
Combined resynchronization and defibrillator
Number of events
Number of patients
Number of events
Number of patients
Number of events
Number of patients
Number of events
Number of patients
Number of events
Number of patients
Application of NetMetaXL using an illustrative example
This tool was designed to allow users to run network meta-analyses, as well as to appraise Bayesian network meta-analyses using WinBUGS via a more user-friendly Microsoft Excel interface. The current versions of NetMetaXL only allow the user to apply Bayesian network meta-analysis for binomial data and logistic regression models. This section describes how users can use this tool in the context of the illustrative example above. It is critical that users of NetMetaXL receive training on network meta-analysis. Users should be educated on key concepts related to network meta-analysis and how to interpret findings for decision-making purposes. Users are also encouraged to consult with a statistician when using this tool.
Step 1: Software installation
The application of NetMetaXL requires installation of Microsoft Excel 2007 or higher, as well as installation of the WinBUGS 1.4.3 package. NetMetaXL will work using Windows XP, Windows 7, or Windows 8. Before opening NetMetaXL, the user will install the WinBUGS 1.4.3 package and download and install the patch for WinBUGS 1.4.3 and the key for unrestricted use as described on the WinBUGS website. Detailed instructions on installing WinBUGS are available on the WinBUGS website. After the user has installed WinBUGS, the user can download the latest version of the NetMetaXL package from http://www.NetMetaXL.com. Any user can download the tool and administrator access is required. This Excel-based tool is also part of the CADTH online repository of Microsoft-based tools for enhancing the application of HTAs: http://www.cadth.ca/en/resources/hta-excel-tools. NetMetaXL is programmed in Visual Basic for Applications within Excel and links to WinBUGS using Visual Basic. After NetMetaXL and WinBUGS have been downloaded and installed, the user will open NetMetaXL and go to the WinBUGS Setting tab visible in the menu bar at the top of the screen. Within this tab, under Program Settings, the user will indicate where the WinBUGS executable file that was downloaded is located on their computer’s hard drive. For example, the user can click the file folder icon next to the WinBUGS Directory (cell D41) and then browse to specify the location of the WinBUGS Directory (e.g., C:\Program Files\WinBUGS14\).
Step 2: Setup of specifications for analysis
After NetMetaXL has been installed and is linked to WinBUGS, the user is ready to begin conducting or appraising network meta-analyses. The user should then open the file and save it using a study-specific name. Within NetMetaXL, the user will see a WinBUGS menu bar in the top right of Microsoft Excel. WinBUGS is a software for conducting Bayesian analysis using Markov chain Monte Carlo simulation . A Bayesian analysis using WinBUGS requires two main ingredients: prior distributions for the unknown parameters and a likelihood function derived from a model that specifies the relation between the unknown parameters and the observed data [10, 11]. A prior distribution of a parameter represents the uncertainty about the parameter before the current data are examined [10, 12–16]. The prior chosen may be informative or ‘vague.’ The latter is thought to ‘let the data drive the analysis,’ but the use of a vague prior should not be used unthinkingly especially when data is sparse because a vague prior may actually influence the analysis [10, 12–16]. Multiplying the prior and the likelihood function together leads to the posterior distribution of the parameter. The posterior distribution is used to carry out all inferences [10, 12–16].
To run the Bayesian analysis using WinBUGS, a series of procedures are required, all of which are automated within NetMetaXL. In particular, the user must check that the model is properly specified, load the data, and select the number of chains (or samples) to specify the initial values for certain parameter estimates; set up monitors to store the sampled parameter values; run the simulation; check convergence for the parameter estimates; and then obtain a summary of the posterior distribution of the selected parameter estimates.
The user will also see a number of worksheets, each devoted to different aspects of preparing the data for Bayesian analysis and generating graphical summaries of the results after the analysis has been run. The majority of settings for the setup of specifications for analysis are located within the WinBUGS Settings worksheet. Within this worksheet, the user specifies analysis characteristics such as WinBUGS Settings (e.g., number of burn-in iterations for assessing convergence of parameter estimates); statistical settings such as which model parameters to capture (e.g., odds ratio, treatment rankings), whether the outcome being considered is ‘bad’ (e.g., dead at the end of the study) or ‘good’ (e.g., alive at the end of the study) from the patient’s perspective, informative prior settings (NetMetaXL applies vague priors for log odds ratios but allows the user to use informative priors for between-study heterogeneity variances derived from based on a publication by Turner et al.  which is potentially useful when data is sparse), and initial values for parameter estimates (NetMetaXL selects these randomly from a uniform distribution within the ranges chosen for log odds ratios and log odds) which should be checked in WinBUGS data sheet; and Program Settings (e.g., location to save files).
Step 3: Data input
After the user specifies the WinBUGS and statistical settings on the WinBUGS Settings worksheet, the dataset for analysis in NetMetaXL can next be entered. To input the data, the user selects the Data Input tab. A screenshot displaying the dataset is presented in Table 1. An additional file showing the screenshot with the dataset in NetMetaXL is also provided [see Additional file 1]. To begin inserting the data, the user must specify the name of each treatment under consideration in row 5; the tool has currently been designed to handle up to 15 interventions of interest and up to 50 studies. The choice of treatment 1, also known as the reference treatment, is an important consideration. Ideally, the user will select the treatment with the most studies as the reference treatment. After the user specifies the treatment names, the user inserts the number of observed events and total sample size for the intervention groups in each study beginning in row 7. In accordance with the most commonly used Bayesian implementation of network meta-analysis, users are able to input more than two treatment groups for a given study and the software will account for correlation between trial arms. As the user inputs the data for all studies and treatments, cells C2–C5 will update automatically to reflect properties of the evidence base under study in terms of the total number of included studies and patients in the treatment network. In the case of our illustrative example, once data input is complete, cells C2–C5 will indicate that the evidence base consists of 12 studies and 5 treatments and will also indicate that 8 of the included studies include medical therapy as one of their treatment arms (our chosen control treatment, labeled as treatment 1 in our network). After the data is inserted, the user is ready to begin running network meta-analyses using NetMetaXL.
Step 4: Preparing the data for WinBUGS
There is a ‘Convert Data’ button within the menu bar. When the user selects this button, there will be a prompt asking: ‘Correct for zero values?’. If the user selects, ‘Yes’, NetMetaXL will adjust all zero cells using an adjusted continuity correction factor accounting for potential differences in sample size and centered around 0.5 . If the user selects ‘No’, zero cells will be included in the analysis and no adjustment is applied. An advantage of the Bayesian approach is that special precautions do not usually need to be taken in the case of the occasional trial with a zero cell count . NetMetaXL allows users the run the analysis with zeroes when there are occasional zero cells and attempt to resolve the issue by adjusting otherwise, although in some cases the results will remain unstable even after adjusting . The zero cell correction within NetMetaXL keeps all studies for analytic consistency (i.e., does not delete studies entered by the user) even those with multiple zero cells although these do not contribute to the relative effect estimation and can cause computational problems when networks are sparse. Because studies with zero cells remain, model fit statistics for these analyses should be interpreted with caution given they make certain model fit statistics artificially look better. The users of this tool should always consult with a statistician, but especially when dealing with zero cells. After the user selects either of these choices, NetMetaXL will convert the data provided into the appropriate format for analysis within WinBUGS. WinBUGS requires the data to be in a specific format and for the user to specify the initial values. The data after the conversion is reported within the WinBUGS data tab. NetMetaXL will also perform this step automatically when pushing the ‘Run WinBUGS’ button.
There are key outputs to consider when interpreting a network meta-analysis. Notably, the user should carefully review the geometry of the evidence network, which provides information related to the number of studies performed comparing the different treatments, the numbers of patients who have been studied for each treatment, and so forth. After ensuring convergence has been reached and there is no relevant inconsistency in the evidence, one can use the output from the consistency model to draw conclusions about the relative effects of treatments . This information is often displayed in tabular or graphical format such as a forest plot or league table. Alternatively, information of relative effects is sometimes converted to a probability a treatment is best, second best, and so on, or the ranking of each treatment. More recently, these two measures have been combined into a single measure called the surface under the cumulative ranking curve (SUCRA) , which is expressed as a percentage—the SUCRA would be 100% when a treatment is certain to be the best and 0% when a treatment is certain to be the worst. The outputs for these elements in NetMetaXL are described in steps 5–9 below.
Step 5: Visualizing the treatment network
Step 6: Running network meta-analyses using NetMetaXL
NetMetaXL captures all the WinBUGS output [see Additional file 2] and stores them in FE Results or RE Results worksheets. NetMetaXL will capture output results from WinBUGS for any parameters selected in the WinBUGS Settings tab (e.g., odds ratios). The user should refer to FE and RE model tabs to see the statistics behind the parameter calculations.
Step 7: Checking convergence in NetMetaXL
We fit three chains for the Markov chain Monte Carlo (MCMC) Bayesian network meta-analysis. The use of multiple chains is a useful way to check MCMC convergence. The user selects the initial values for each of these chains randomly from a uniform distribution. The user can select the bounds for the uniform distribution in the WinBUGS Settings worksheet. The user is encouraged to review the following paper  for additional detail on selecting initial values. Convergence is assessed in NetMetaXL using the Brooks-Gelman-Rubin method and by checking whether the Monte Carlo error is less than 5% of the sd of the effect estimates and between-study variance. These diagnostics are provided when the user runs the analysis. NetMetaXL will check whether the Monte Carlo error is less than 5% of the sd of the effect estimates and between-study variance and gives the user the option to view the Brooks-Gelman-Rubin plots from the WinBUGS output. The Brooks-Gelman-Rubin method compares within-chain and between-chain variances to calculate the potential scale reduction factor . A potential scale reduction factor is presented in red in the figure, and a value close to one indicates when approximate convergence has been reached.
Step 8: Generating a graphical summary of findings from network meta-analysis
Probability bars (or rankograms)  are also generated and reported within NetMetaXL, which report the probability that each treatment is ranked first, second, and so on for a particular outcome. These rankograms are depicted as stacked vertical bar charts within NetMetaXL for all treatments. The user can also output line graphs for all treatments or generate bar charts or line graphs for individual treatments.
Step 9: Assessment of inconsistency
Summary of main findings
We have shown how use of NetMetaXL can enhance the ability of users to run WinBUGS-based network meta-analyses entirely within Microsoft Excel. We have replicated findings from a network meta-analysis  published in the BMJ on combined resynchronization and implantable defibrillator therapy in left ventricular dysfunction using NetMetaXL. The approach and steps used in this illustrative example can be applied to running other network meta-analyses of dichotomous outcomes entirely through the Microsoft-Excel-based NetMetaXL tool, without requiring the user to directly use the WinBUGS software. In the future, we plan on developing similar tools for other outcome measures.
There are several software packages available to run network meta-analyses. The majority of network meta-analyses conducted to date have used WinBUGS , although new routines have been developed which allow network meta-analyses to be conducted with STATA [6, 7, 21], R , and SAS . These approaches to conducting network meta-analyses share a similar feature—they require programming knowledge of the software package being used. This is not a problem for statisticians who use these packages regularly or reviewers who are well versed in network meta-analyses and these software. However, this is a challenge for non-statisticians or reviewers who are not familiar with the packages but would like to run or critically appraise a network meta-analysis. Some of these packages (e.g., WinBUGS) have poor data manipulation functionality, data annotation, and graphical illustration capabilities, thereby requiring results to be transferred between multiple software packages, adding an additional layer of complexity.
This has led to the development of more user-friendly and integrated packages such as the Aggregate Data Drug Information System (ADDIS) . Similar to our NetMetaXL tool, ADDIS  also provides users with a more user-friendly software package to run network meta-analyses without directly using WinBUGS (or JAGS or OpenBUGS) code. However, the current version of ADDIS (ADDIS 1) uses a stand-alone software package. Using Microsoft Excel offers some advantages over a stand-alone package like ADDIS such as the following: 1) it allows users to use a software that they are familiar with, 2) there is more potential for others to develop add-ons to the Excel-based tool (versus stand-alone package) given the wide user base, and 3) it allows the data and results to be more easily integrated with decision analytic models and health economic evaluations which are frequently Excel-based compared to stand-alone packages. Indeed, this was noted in a recent publication  where they developed an Excel-based tool to perform HTAs entirely within Microsoft Excel. This Excel-based tool developed by Bujkiewicz et al.  called the transparent interactive decision interrogator (TIDI) also integrated with WinBUGS but used R, another software with a steep learning curve for non-statisticians. Although the example in TIDI was not specific to network meta-analysis, TIDI  could also be used for conducting and critically appraising network meta-analyses as well. Despite the advantages of using Excel, there are also disadvantages. Excel is a free-form tool and accordingly there are opportunities for both user and programmer error. Users should double- and triple-check data inserted into NetMetaXL. To reduce the risk of programmer error, we used standard WinBUGS code provided in the NICE TSD series and had an independent statistician review the WinBUGS coding.
Application of NetMetaXL
Network meta-analysis is increasingly being used to provide estimates of effect for treatments that may not have been compared directly in clinical trials. NetMetaXL represents a step forward in improving the ability of novice users to run network meta-analyses. We have illustrated this application for running network meta-analyses in NetMetaXL using the combined resynchronization and implantable defibrillator therapy illustrative example. Another useful application of NetMetaXL would be related to critical appraisal of network meta-analyses by HTA organizations such as CADTH or NICE, or network meta-analyses submitted to journals. Inclusion of a NetMetaXL file, along with a technical report or publication, would undoubtedly facilitate more efficient and transparent critical appraisal of network meta-analyses. In addition, it would provide some standardization to the format of the analysis and graphical reporting.
HTA organizations and major medical journals should encourage authors to submit the data for their systematic reviews and network meta-analyses using NetMetaXL or a similar software package. Currently, the data used in HTAs or published network meta-analyses is often not adequately reported, presented in a wide range of styles, or often embedded in images such as forest plots, making it challenging to extract data quickly, replicate findings, and critically appraise the study. The use of data repositories such as the Systematic Review Data Repository  and the Dryad Digital Repository has improved accessibility of data. However, these repositories only require that the data and code are uploaded to the repository and are often made available for use in less user-friendly packages such as R, STATA, or SAS. These repositories do not require that data are formally integrated with the analysis. Accordingly, critical appraisal of network meta-analyses, especially for non-statisticians, is still a challenge even when data is submitted to these repositories because users are still often left without the tools to quickly validate the analyses. By contrast, NetMetaXL will allow users to quickly validate the submitted analysis and test robustness of results to excluding certain studies, use of informative/non-informative priors, and choice of fixed/random effects models.
Some organizations in the healthcare sector have recognized the limitation of not providing the unified data and model on which an analysis is based. Indeed, HTA organizations often require manufacturers of drugs and devices to provide a user-friendly health economic model, in specified software, in addition to a technical report to facilitate critical appraisal of their product; however, this is not the standard for network meta-analyses submitted to HTA organizations. These health economic models are often Microsoft Excel based and give reviewers much more information than is provided in a 100-page technical report, let alone a 2,700–4,000-word publication. Given that type of easy access to and control of the original authors’ data, model, and analysis, reviewers at HTA organizations are able to run additional analyses to test model uncertainty and alternative assumptions. The impact that these Microsoft-Excel-based models have had on critical appraisal of manufacturers’ health economic models is evident by examining the public summary documents from HTA organizations such as CADTH and NICE. It is not uncommon for recommendations from HTA bodies to report that reanalyses conducted by their staff found the cost-effectiveness estimates were less favorable than those submitted by the manufacturer. The same impact could potentially be seen if this increased level of transparency was applied to network meta-analyses.
Limitations of NetMetaXL
There are a number of limitations with NetMetaXL to note. Currently, this version of NetMetaXL only allows users to consider a maximum of 15 treatment options and 50 studies. This will prevent its application to more complex networks with multiple dosing strategies, complex interventions, or well-established disease areas where there are more than 15 treatment options. The current version of NetMetaXL is also only applicable for dichotomous outcomes. However, we will develop similar tools for other outcome types (e.g., continuous), will continue to update and refine the Microsoft-Excel-based tool, and will make new versions freely available online, including additional capabilities to adjust for heterogeneity including meta-regression analysis and inclusion of more sophisticated methods for assessing inconsistency. All versions of NetMetaXL will be housed on http://www.NetMetaXL.com. This tool is the first in a series of Excel-based tools being developed with support from CADTH. These Excel-based tools are being developed to enhance the application of HTAs in Canada and abroad. There will also be a link to NetMetaXL on the PRISMA website to enhance uptake and improve transparency of network meta-analyses in published medical journals.
With availability of user-friendly software such as NetMetaXL, concerns arise about network meta-analysis being undertaken and implemented inappropriately by novice users. It is critical that users of NetMetaXL receive training on network meta-analysis. Users should be educated on key concepts related to network meta-analysis such as heterogeneity and inconsistency and how to interpret findings for decision-making purposes. Users are also encouraged to consult with a statistician when using this tool.
Another disadvantage of NetMetaXL is that Microsoft Excel keeps the data locally (unless integrated with the cloud-based Microsoft 365 or other cloud systems) and does not foster sharing of information/data. This may be advantageous to drug or device manufacturers when submitting confidential data and network meta-analyses to HTA organizations such as CADTH and NICE. However, such an environment is not good for the society as a whole. Rather than keeping data in silos, there is a need to foster a research environment where data are shared and can be dynamically updated by multiple collaborators to improve research productivity. The earlier-mentioned ADDIS software  is in the process of launching a web-based platform (ADDIS 2) where researchers can collaborate to perform systematic reviews, data extraction, evidence synthesis, and decision analysis. Undoubtedly, such an integrated system should improve the efficiency, transparency, and critical appraisal of systematic reviews and network meta-analyses dramatically by making data more accessible to researchers and collaboration more seamless. As a result, we are strong ambassadors of the research that ADDIS  is striving towards. However, until use of such a system becomes widespread and readily available, NetMetaXL will serve as a step in the right direction towards making the conduct of network meta-analyses more accessible to non-statisticians and facilitating more efficient and transparent critical appraisal of network meta-analyses, standardization in reporting, and more seamless integration with health economic evaluation.
We have demonstrated the application of a freely available Microsoft-Excel-based tool—NetMetaXL—using an example of a published network meta-analysis. NetMetaXL can make running and reporting network meta-analyses more accessible to novice users, as all aspects of data entry, analysis, and reporting are conducted entirely within Excel and require no specialized programming knowledge. The application of this Microsoft-Excel-based tool could also facilitate more efficient and transparent critical appraisal of network meta-analyses submitted to HTA organizations such as CADTH or NICE, or journals which publish network meta-analyses. The use of this tool may also help standardize reporting and enhance integration with health economic evaluations.
CC and SB are co-first authors. CC drafted the manuscript, validated the statistical/epidemiological analysis, provided the appropriate WinBUGS code to SB, and coordinated the development of the website to download NetMetaXL and track use of the tool; SB wrote all the visual basic codes for running the network meta-analysis, developed NetMetaXL, and reviewed the manuscript for important intellectual content.
The authors would like to thank CADTH and Cornerstone Research Group staff for piloting the software and providing constructive feedback on earlier versions of the tool. The authors would also like to thank Sofia Dias for extensive feedback on early versions of NetMetaXL and this manuscript. The authors would also like to thank Amanda Cameron for helping with the website design of http://www.NetMetaXL.com.
CC is a recipient of a Vanier Canada Graduate Scholarship from the Canadian Institutes of Health Research (funding reference number—CGV 121171) and is a trainee on the Canadian Institutes of Health Research Drug Safety and Effectiveness Network team grant (funding reference number—116573). BH is funded by a New Investigator award from the Canadian Institutes of Health Research and the Drug Safety and Effectiveness Network. This research was partly supported by funding from CADTH as part of a project to develop Excel-based tools to support the conduct of health technology assessments. This research was also supported by Cornerstone Research Group. The funders played no role in the design of this research or the decision to submit the manuscript for publication.
- Caldwell DM, Ades AE, Higgins PT: Simultaneous comparison of multiple treatments: combining direct and indirect evidence. BMJ. 2005, 331: 897-900. 10.1136/bmj.331.7521.897.View ArticlePubMedPubMed CentralGoogle Scholar
- Jansen JP, Crawford B, Bergman G, Stam W: Bayesian meta-analysis of multiple treatment comparisons: an introduction to mixed treatment comparisons. Value Health. 2008, 11: 956-964. 10.1111/j.1524-4733.2008.00347.x.View ArticlePubMedGoogle Scholar
- Nikolakopoulou A, Chaimani A, Veroniki AA, Vasiliadis HS, Schmid CH, Salanti G: Characteristics of networks of interventions: a description of a database of 186 published. Networks. 2014, 9: 1-10.Google Scholar
- Lee AW: Review of mixed treatment comparisons in published systematic reviews shows marked increase since 2009. J Clin Epidemiol. 2014, 67: 138-143. 10.1016/j.jclinepi.2013.07.014.View ArticlePubMedGoogle Scholar
- Dias S, Welton NJ, Sutton AJ, Caldwell DM, Lu G, Ades AE: Evidence synthesis for decision making 4: inconsistency in networks of evidence based on randomized controlled trials. Med Decis Making. 2013, 33: 641-656. 10.1177/0272989X12455847.View ArticlePubMedPubMed CentralGoogle Scholar
- Higgins JPT, Jackson D, Barrett JK, Lu G, Ades AE, White IR: Consistency and inconsistency in network meta-analysis: concepts and models for multi-arm studies. Res Synth Meth. 2012, 3: 98-110. 10.1002/jrsm.1044.View ArticleGoogle Scholar
- Chaimani A, Higgins JPT, Mavridis D, Spyridonos P, Salanti G: Graphical tools for network meta-analysis in STATA. PLoS One. 2013, 8: e76654-10.1371/journal.pone.0076654.View ArticlePubMedPubMed CentralGoogle Scholar
- Lam SKH, Owen A: Combined resynchronisation and implantable defibrillator therapy in left ventricular dysfunction: Bayesian network meta-analysis of randomised controlled trials. BMJ. 2007, 335: 925-10.1136/bmj.39343.511389.BE.View ArticlePubMedPubMed CentralGoogle Scholar
- Lunn DJ, Thomas A, Best N, Spiegelhalter D: WinBUGS—a Bayesian modelling framework: concepts, structure, and extensibility. Stat Comput. 2000, 10: 325-337. 10.1023/A:1008929526011.View ArticleGoogle Scholar
- Spiegelhalter DJ, Abrams KR, Myles JP: Bayesian Approaches to Clinical Trials and Health-Care Evaluation. 2004, Chichester, West Sussex, PO19 8SQ, England: John Wiley & Sons Ltd, 408-1Google Scholar
- Sutton AJ, Abrams KR: Bayesian methods in meta-analysis and evidence synthesis. Stat Methods Med Res. 2001, 10: 277-303. 10.1191/096228001678227794.View ArticlePubMedGoogle Scholar
- Lambert P, Sutton A: How vague is vague? A simulation study of the impact of the use of vague prior distributions in MCMC using WinBUGS. Stat Med. 2005, 24: 2401-2428. 10.1002/sim.2112.View ArticlePubMedGoogle Scholar
- Gelman A: Prior distributions for variance parameters in hierarchical models. 2006, 515-533.Google Scholar
- Turner RM, Davey J, Clarke MJ, Thompson SG, Higgins JP: Predicting the extent of heterogeneity in meta-analysis, using empirical data from the Cochrane Database of Systematic Reviews. Int J Epidemiol. 2012, 41: 818-827. 10.1093/ije/dys041.View ArticlePubMedPubMed CentralGoogle Scholar
- Thorlund K, Thabane L, Mills EJ: Modelling heterogeneity variances in multiple treatment comparison meta-analysis—are informative priors the better solution?. BMC Med Res Methodol. 2013, 13: 1-10.1186/1471-2288-13-1.View ArticleGoogle Scholar
- Sweeting MJ, Sutton AJ, Lambert PC: What to add to nothing? Use and avoidance of continuity corrections in meta-analysis of sparse data. Stat Med. 2004, 23: 1351-1375. 10.1002/sim.1761.View ArticlePubMedGoogle Scholar
- Dias S, Sutton AJ, Ades AE, Welton NJ: Evidence synthesis for decision making 2: a generalized linear modeling framework for pairwise and network meta-analysis of randomized controlled trials. Med Decis Making. 2013, 33: 607-617. 10.1177/0272989X12458724.View ArticlePubMedPubMed CentralGoogle Scholar
- Salanti G, Ades A, Ioannidis J: Graphical methods and numerical summaries for presenting results from multiple-treatment meta-analysis: an overview and tutorial. J Clin Epidemiol. 2011, 64: 163-171. 10.1016/j.jclinepi.2010.03.016.View ArticlePubMedGoogle Scholar
- Van Valkenhoef G, Lu G, de Brock B, Hillege H, Ades AE, Welton NJ: Automating network meta-analysis. Res Synth Meth. 2012, 3: 285-299. 10.1002/jrsm.1054.View ArticleGoogle Scholar
- Brooks S, Gelman A: General methods for monitoring convergence of iterative simulations. J Comput Graph Stat. 1998, 7: 434-455.Google Scholar
- White IR, Barrett JK, Jackson D, Higgins JPT: Consistency and inconsistency in network meta-analysis: model estimation using multivariate meta-regression. Res Synth Meth. 2012, 3: 111-125. 10.1002/jrsm.1045.View ArticleGoogle Scholar
- Rücker G: Network meta-analysis, electrical networks and graph theory. Res Synth Meth. 2012, 3: 312-324. 10.1002/jrsm.1058.View ArticleGoogle Scholar
- Jones B, Roger J, Lane PW, Lawton A, Fletcher C, Cappelleri JC, Tate H, Moneuse P: Statistical approaches for conducting network meta-analysis in drug development. Pharm Stat. 2011, 10: 523-531. 10.1002/pst.533.View ArticlePubMedGoogle Scholar
- Van Valkenhoef G, Tervonen T, Zwinkels T, de Brock B, Hillege H: ADDIS: A decision support system for evidence-based medicine. Decis Support Syst. 2013, 55: 459-475. 10.1016/j.dss.2012.10.005.View ArticleGoogle Scholar
- Bujkiewicz S, Jones HE, Lai MCW, Cooper NJ, Hawkins N, Squires H, Abrams KR, Spiegelhalter DJ, Sutton AJ: Development of a transparent interactive decision interrogator to facilitate the decision-making process in health care. Value Health. 2011, 14: 768-776. 10.1016/j.jval.2010.12.002.View ArticlePubMedPubMed CentralGoogle Scholar
- Ip S, Hadar N, Keefe S, Parkin C, Iovin R, Balk EM, Lau J: A Web-based archive of systematic review data. Syst Rev. 2012, 1: 15-10.1186/2046-4053-1-15.View ArticlePubMedPubMed CentralGoogle Scholar
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