BMC Medical Research Methodology | |
Network meta-analysis of multiple outcome measures accounting for borrowing of information across outcomes | |
Alex J Sutton2  David R Jones2  Denise Kendrick1  Stephanie J Hubbard2  Sylwia Bujkiewicz2  Nicola J Cooper2  Felix A Achana2  | |
[1] Division of Primary Care Community Health Sciences, Faculty of Medicine & Health Sciences, University of Nottingham, Nottingham NG7 2RD, UK;Biostatistics Group, Department of Health Sciences, University of Leicester, University Road, Leicester LE1 7RH, UK | |
关键词: WinBUGS; Multivariate; Multiple outcomes; Mixed treatment comparisons; Network meta-analysis; | |
Others : 1091399 DOI : 10.1186/1471-2288-14-92 |
|
received in 2014-01-08, accepted in 2014-07-02, 发布年份 2014 | |
【 摘 要 】
Background
Network meta-analysis (NMA) enables simultaneous comparison of multiple treatments while preserving randomisation. When summarising evidence to inform an economic evaluation, it is important that the analysis accurately reflects the dependency structure within the data, as correlations between outcomes may have implication for estimating the net benefit associated with treatment. A multivariate NMA offers a framework for evaluating multiple treatments across multiple outcome measures while accounting for the correlation structure between outcomes.
Methods
The standard NMA model is extended to multiple outcome settings in two stages. In the first stage, information is borrowed across outcomes as well across studies through modelling the within-study and between-study correlation structure. In the second stage, we make use of the additional assumption that intervention effects are exchangeable between outcomes to predict effect estimates for all outcomes, including effect estimates on outcomes where evidence is either sparse or the treatment had not been considered by any one of the studies included in the analysis. We apply the methods to binary outcome data from a systematic review evaluating the effectiveness of nine home safety interventions on uptake of three poisoning prevention practices (safe storage of medicines, safe storage of other household products, and possession of poison centre control telephone number) in households with children. Analyses are conducted in WinBUGS using Markov Chain Monte Carlo (MCMC) simulations.
Results
Univariate and the first stage multivariate models produced broadly similar point estimates of intervention effects but the uncertainty around the multivariate estimates varied depending on the prior distribution specified for the between-study covariance structure. The second stage multivariate analyses produced more precise effect estimates while enabling intervention effects to be predicted for all outcomes, including intervention effects on outcomes not directly considered by the studies included in the analysis.
Conclusions
Accounting for the dependency between outcomes in a multivariate meta-analysis may or may not improve the precision of effect estimates from a network meta-analysis compared to analysing each outcome separately.
【 授权许可】
2014 Achana et al.; licensee BioMed Central Ltd.
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
20150128171707731.pdf | 805KB | download | |
Figure 2. | 60KB | Image | download |
Figure 1. | 57KB | Image | download |
【 图 表 】
Figure 1.
Figure 2.
【 参考文献 】
- [1]Cooper NJ, Sutton AJ, Ades AE, Paisley S, Jones DR, W. G. O. U. o. E. i. E. D: Models, Use of evidence in economic decision models: Practical issues and methodological challenges. Health Economics 2007, 16(12):1277-1286.
- [2]Sutton A, Abrams K, Jones DR, Sheldon TA, Song F: Methods for Meta-analysis in Medical Research. Chichester: Wiley; 2000.
- [3]Arends LR, Voko Z, Stijnen T: Combining multiple outcome measures in a meta-analysis: an application. Statistics in Medicine 2003, 22(8):1335-1353.
- [4]Berkey CS, Hoaglin DC, Antczak-Bouckoms A, Mosteller F, Colditz GA: Meta-analysis of multiple outcomes by regression with random effects. Statistics in Medicine 1998, 17(22):2537-2550.
- [5]Jackson D, Riley R, White IR: Multivariate meta-analysis: Potential and promise. Statistics in Medicine 2011, 30(20):2481-2498.
- [6]Nam IS, Mengersen K, Garthwaite P: Multivariate meta-analysis. Statistics in Medicine 2003, 22(14):2309-2333.
- [7]Riley RD, Abrams KR, Sutton AJ, Lambert PC, Thompson JR: Bivariate random-effects meta-analysis and the estimation of between-study correlation. BMC Medical Research Methodology 2007., 7
- [8]Riley RD, Thompson JR, Abrams KR: An alternative model for bivariate random-effects meta-analysis when the within-study correlations are unknown. Biostatistics 2008, 9(1):172-186.
- [9]Kendrick D, Coupland C, Mulvaney C, Simpson J, Smith SJ, Sutton A, Watson M, Woods A: Home safety education and provision of safety equipment for injury prevention. Cochrane Database Systematic reviews 2007., 1CD005014
- [10]Bujkiewicz S, Thompson JR, Sutton AJ, Cooper NJ, Harrison MJ, Symmons DPM, Abrams KR: Multivariate meta-analysis of mixed outcomes: a Bayesian approach. Statistics in Medicine 2013, 32(22):3926-3943.
- [11]Riley RD, Abrams KR, Lambert PC, Sutton AJ, Thompson JR: An evaluation of bivariate random-effects meta-analysis for the joint synthesis of two correlated outcomes. Statistics in Medicine 2007, 26(1):78-97.
- [12]Kirkham JJ, Riley RD, Williamson PR: A multivariate meta-analysis approach for reducing the impact of outcome reporting bias in systematic reviews. Statistics in Medicine 2012, 31(20):2179-2195.
- [13]Ades AE, Mavranezouli I, Dias S, Welton NJ, Whittington C, Kendall T: Network meta-analysis with competing risk outcomes. Value Health 2010, 13(8):976-983.
- [14]Efthimiou O, Mavridis D, Cipriani A, Leucht S, Bagos P, Salanti G: An approach for modelling multiple correlated outcomes in a network of interventions using odds ratios. Statistics in Medicine 2014, 33(13):2275-2287.
- [15]Riley RD: Multivariate meta-analysis: the effect of ignoring within-study correlation. Journal of the Royal Statistical Society Stat Soc 2009, 172:789-811.
- [16]Rodgers M, Sowden A, Petticrew M, Arai L, Roberts H, Britten N, Popay J: Testing Methodological Guidance on the Conduct of Narrative Synthesis in Systematic Reviews. Evaluation 2009, 15(1):49-73.
- [17]Lumley T: Network meta-analysis for indirect treatment comparisons. Statistics in Medicine 2002, 21(16):2313-2324.
- [18]Caldwell DM, Ades AE, Higgins JP: Simultaneous comparison of multiple treatments: combining direct and indirect evidence. British Medical Journal 2005, 331(7521):897-900.
- [19]Caldwell DM, Welton NJ, Ades AE: Mixed treatment comparison analysis provides internally coherent treatment effect estimates based on overviews of reviews and can reveal inconsistency. Journal of Clinical Epidemiology 2010, 63(8):875-882.
- [20]Lu G, Ades AE: Combination of direct and indirect evidence in mixed treatment comparisons. Statistics in Medicine 2004, 23(20):3105-3124.
- [21]Salanti G, Ades AE, Ioannidis JP: Graphical methods and numerical summaries for presenting results from multiple-treatment meta-analysis: an overview and tutorial. Journal of Clinical Epidemiology 2010, 64(2):163-171.
- [22]Salanti G, Higgins JP, Ades AE, Ioannidis JP: Evaluation of networks of randomized trials. Statistical Methods in Medical Research 2008, 17(3):279-301.
- [23]Salanti G, Marinho V, Higgins JP: A case study of multiple-treatments meta-analysis demonstrates that covariates should be considered. Journal of Clinical Epidemiology 2009, 62(8):857-864.
- [24]Dias S, Welton NJ, Caldwell DM, Ades AE: Checking consistency in mixed treatment comparison meta-analysis. Statistics in Medicine 2010, 29(7–8):932-944.
- [25]Hong H, Carlin BP, Chu H, Shamliyan TA, Wang S, Kane RL: Methods Research Report: A Bayesian Missing Data Framework for Multiple Continuous Outcome Mixed Treatment Comparisons. 2013. Avaialable online from http://www.ncbi.nlm.nih.gov/books/NBK116689/pdf/TOC.pdf webcite
- [26]Lu G, Ades AE, Sutton AJ, Cooper NJ, Briggs AH, Caldwell DM: Meta-analysis of mixed treatment comparisons at multiple follow-up times. Statistics in Medicine 2007, 26(20):3681-3699.
- [27]Welton NJ, Cooper NJ, Ades AE, Lu G, Sutton AJ: Mixed treatment comparison with multiple outcomes reported inconsistently across trials: evaluation of antivirals for treatment of influenza A and B. Statistics in Medicine 2008, 27(27):5620-5639.
- [28]Dakin HA, Welton NJ, Ades AE, Collins S, Orme M, Kelly S: Mixed treatment comparison of repeated measurements of a continuous endpoint: an example using topical treatments for primary open-angle glaucoma and ocular hypertension. Statistics in Medicine 2011, 30(20):2511-2535.
- [29]DuMouchel WH, Harris JE: Bayes Methods for Combining the Results of Cancer Studies in Humans and Other Species. Journal of the American Statistical Association 1983, 78(382):293-308.
- [30]Jones DR, Peters JL, Rushton L, Sutton AJ, Abrams KR: Interspecies extrapolation in environmental exposure standard setting: A Bayesian synthesis approach. Regulatory Toxicology Pharmacology 2009, 53(3):217-225.
- [31]Kendrick D, Young B, Mason-Jones AJ, Ilyas N, Achana FA, Cooper NJ, Hubbard SJ, Sutton AJ, Smith S, Wynn P, Mulvaney C, Watson MC, Coupland C: Home safety education and provision of safety equipment for injury prevention. Cochrane Database Systematic reviews 2012, 9.
- [32]Johnston BD, Huebner CE, Anderson ML, Tyll LT, Thompson RS: Healthy steps in an integrated delivery system - Child and parent outcomes at 30 months. Archives of Pediatrics and Adolescent Medicine 2006, 160(8):793-800.
- [33]Babul S, Olsen L, Janssen P, McIntee P, Raina P: A randomized trial to assess the effectiveness of an infant home safety programme. International Journal of Control and Safety Promotion 2007, 14(2):109-117.
- [34]Dias S, Sutton AJ, Ades AE, Welton NJ: A Generalized Linear Modeling Framework for Pairwise and Network Meta-analysis of Randomized Controlled Trials. Medical Decision Making 2012, 33(5):607-17.
- [35]van Houwelingen HC, Arends LR, Stijnen T: Advanced methods in meta-analysis: multivariate approach and meta-regression. Statistics in Medicine 2002, 21(4):589-624.
- [36]Dershewitz RA, Williamson JW: Prevention of Childhood Household Injuries - Controlled Clinical-Trial. American Journal of Public Health 1977, 67(12):1148-1153.
- [37]Kelly B, Sein C, McCarthy PL: Safety education in a pediatric primary care setting. Pediatrics 1987, 79(5):818-824.
- [38]Mavridis D, Salanti G: A practical introduction to multivariate meta-analysis. Statistical Methods in Medical Research 2013, 22(2):133-158.
- [39]Wei Y, Higgins JPT: Bayesian multivariate meta-analysis with multiple outcomes. Statistics in Medicine 2013, 32(17):2911-2934.
- [40]Carter P, Achana F, Troughton J, Gray LJ, Khunti K, Davies MJ: A Mediterranean diet improves HbA1c but not fasting blood glucose compared to alternative dietary strategies: a network meta-analysis. Journal of Human Nutrition and Dietetics 2014, 27(3):280-297.
- [41]Cooper NJ, Sutton AJ, Lu G, Khunti K: Mixed comparison of stroke prevention treatments in individuals with nonrheumatic atrial fibrillation. Archives Internal Medicine 2006, 166(12):1269-1275.
- [42]Spiegelhalter D, Thomas A, Best N, Lunn D: WinBUGS User Manual. Available from http://www.politicalbubbles.org/bayes_beach/manual14.pdf webcite, 2003. Accessed 10th December 2013
- [43]Lu GB, Ades A: Modeling between-trial variance structure in mixed treatment comparisons. Biostatistics 2009, 10(4):792-805.
- [44]Barnard J, McCulloch R, Meng XL: Modeling covariance matrices in terms of standard deviations and correlations, with application to shrinkage. Statistica Sinica 2000, 10(4):1281-1311.
- [45]DuMouchel W, Groer PG: A Bayesian Methodology for Scaling Radiation Studies from Animals to Man. Health Physics 1989, 57:411-418.
- [46]Lambert PC, Sutton AJ, Burton PR, Abrams KR, Jones DR: How vague is vague? A simulation study of the impact of the use of vague prior distributions in MCMC using WinBUGS. Statistics in Medicine 2005, 24(15):2401-2428.
- [47]Lunn DJ, Thomas A, Best N, Spiegelhalter D: WinBUGS - A Bayesian modelling framework: Concepts, structure, and extensibility. Statistical Computing 2000, 10(4):325-337.
- [48]Dias S, Welton NJ, Sutton AJ, Ades AE: NICE DSU Technical Support Document 2: A Generalised Linear Modelling Framework for Pairwise and Network Meta-analysis of Randomised Controlled Trials. 2011. Available from http://www.nicedsu.org.uk webcite
- [49]Spiegelhalter DJ, Abrams KR, Myles JP: Bayesian Approaches to Clinical Trials and Health-Care Evaluation. Statistics in Practice. Chichester: John Wiley & Sons; 2004.
- [50]Franchini AJ, Dias S, Ades AE, Jansen JP, Welton NJ: Accounting for correlation in network meta-analysis with multi-arm trials. Research Synthesis Methodology 2012, 3(2):142-160.
- [51]Wei Y, Higgins JPT: Estimating within-study covariances in multivariate meta-analysis with multiple outcomes. Statistics in Medicine 2013, 32(7):1191-1205.
- [52]Gelman A: Prior distributions for variance parameters in hierarchical models(Comment on an Article by Browne and Draper). Bayesian Analysis 2006, 1(3):515-533.
- [53]Chu HT, Nie L, Cole SR, Poole C: Meta-analysis of diagnostic accuracy studies accounting for disease prevalence: Alternative parameterizations and model selection. Statistics in Medicine 2009, 28(18):2384-2399.
- [54]Saramago P, Sutton AJ, Cooper NJ, Manca A: Mixed treatment comparisons using aggregate and individual participant level data. Statistics in Medicine 2012, 31(28):3516-3536.