Abstract
Meta-analyses are often conducted using trial-level summary data. However, when individual patient data (IPD ) is available, there is greater flexibility in the analysis and a wider range of statistical models that can be fitted. There are two approaches to fitting IPD models. The traditional two-stage approach involves analyzing each trial individually in the first stage and then combining trial estimates of treatment effectiveness in the second stage using methods developed for aggregate data meta-analysis. Growing in popularity is the one-stage approach in which trials are analyzed and synthesized within one statistical model whilst the clustering of patients within trials is accounted for. This chapter outlines both fixed effect and random effects one- and two-stage meta-analysis models for continuous, binary, and time-to-event outcomes. The meta-analysis framework is then extended to the scenario where there are more than two treatments and network meta-analysis models are described.
The availability of IPD provides greater statistical power for investigating interactions between treatments and covariates. Treatment–covariate interactions contain both within- and across-trial information where the across-trial information may be subject to ecological bias. This chapter presents network meta-analysis models separating out the within- and across-trial information and finishes by considering practical solutions for dealing with missing covariate data, assessing the consistency assumption, combining IPD and aggregate data and specific considerations for time-to-event outcomes.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Chalmers I (1993) The Cochrane collaboration: preparing, maintaining and disseminating systematic reviews of the effects of health care. Ann N Y Acad Sci 703:156–165
Stewart L, Tierney J (2002) To IPD or not to IPD? Advantages and disadvantages of systematic reviews using individual patient data. Eval Health Prof 25(1):76–97
Simmonds MC, Higgins J, Stewart L, Tierney JF, Clarke M, Thompson S (2005) Meta-analysis of individual patient data from randomized trials: a review of methods used in practice. Clin Trials 2:209–217
Jansen JP (2012) Network meta-analysis of individual and aggregate level data. Res Synth Methods 3(2):177–190. https://doi.org/10.1002/jrsm.1048
Higgins J, Thomas J, Chandler J, Cumpston M, Li T, Page M, Welch V (2019) Cochrane handbook for systematic reviews of interventions, 2nd edition edn. John Wiley & Sons, Chichester (UK)
Simmonds M, Stewart G, Stewart L (2015) A decade of indiviudal participant data meta-analyses: a review of current practice. Contemp Clin Trials 45:76–83
Burke DL, Ensor J, Riley RD (2017) Meta-analysis using individual participant data: one-stage and two-stage approaches, and why they may differ. Stat Med 36(5):855–875. https://doi.org/10.1002/sim.7141
Morris T, Fisher D, Kenward M, Carpenter J (2018) Meta-analysis of Gaussian individual patient data: two-stage or not two-stage? Stat Med 37(9):1419–1438
Riley RD, Lambert PC, Abo-Zaid G (2010) Meta-analysis of individual participant data: rationale, conduct, and reporting. BMJ 340(feb05 1):c221. https://doi.org/10.1136/bmj.c221
Debray TP, Schuit E, Efthimiou O, Reitsma JB, Ioannidis J, Salanti G, Moons KG (2018) An overview of methods for network meta-analysis using individual participant data: when do benefits arise? Stat Methods Med Res 27(5):1351–1364
Debray TP, Moons KG, Abo-Zaid GM, Koffijberg H, Riley RD (2013) Individual participant data meta-analysis for a binary outcome: one-stage or two-stage? PLoS One 8(4):e60650. https://doi.org/10.1371/journal.pone.0060650
Abo-Zaid G, Guo B, Deeks J, Debray TPA, Steyerberg E, Moons KGM, Riley RD (2013) Individual participant data meta-analyses should not ignore clustering. J Clin Epidemiol 66:865–873
Legha A, Riley RD, Ensor J, Snell K, Morris TP, Burke DL (2018) Individual particiapnt data meta-analysis of continuous outcomes: a comparison of approaches for specifying and estimating one-stage models. Stat Med 37:4404–4420
Debray TPA, Moons KGM, van Valkenhoef G, Efthimiou O, Hummel N, Groenwold RHH, Reitsma JB (2015) Get real in individual participant data (IPD) meta-analysis: a review of the methodology. Res Synth Methods 6(4):293–309. https://doi.org/10.1002/jrsm.1160
Higgins J, Whitehead A (1996) Borrowing strength from external trials in a meta-analysis. Stat Med 15:2733–2749
Freeman SC, Fisher D, Tierney JF, Carpenter JR (2018) A framework for identifying treatment-covariate interactions in individual participant data network meta-analysis. Res Synth Methods 9(3):393–407. https://doi.org/10.1002/jrsm.1300
Rothwell P (2005) Subgroup analysis in randomised controlled trials: importance indications, and interpretation. Lancet 365:176–186
Fisher DJ, Carpenter JR, Morris TP, Freeman SC, Tierney JF (2017) Meta-analytical methods to identify who benefits most from treatments: daft, deluded, or deft approach? BMJ 356:j573. https://doi.org/10.1136/bmj.j573
Dias S, Ades A, Welton NJ, Jansen JP, Sutton A (2018) Network meta-analysis for decision making. John Wiley & Sons, Hoboken, NJ, USA
Donegan S, Williamson P, D'Alessandro U, Smith CT (2012) Assessing the consistency assumption by exploring treatment by covariate interactions in mixed treatment comparison meta-analysis: individual patient-level covariates versus aggregate trial-level covariates. Stat Med 31(29):3840–3857. https://doi.org/10.1002/sim.5470
Fisher DJ, Copas A, Tierney JF, Parmar MK (2011) A critical review of methids for the assessment of patient-level interactions in individual particiapnt data meta-analysis of randomized trials, and guidance for practitioners. J Clin Epidemiol 64:949–967
Riley RD, Lambert PC, Staessen J, Wang J, Gueyffier F, Thijs L, Boutitie F (2008) Meta-analysis of continuous outcomes combining individual patient data and aggregate data. Stat Med 27:1870–1893
Berlin J, Santanna J, Schmid C, Szczech L, Feldman H (2002) Individual patient-versus group-level data meta-regressions for the investigation of treatment effect modifiers: ecological bias rears its ugly head. Stat Med 21:371–387
Hua H, Burke DL, Crowther MJ, Ensor J, Tudur Smith C, Riley RD (2017) One-stage individual participant data meta-analysis models: estimation of treatment-covariate interactions must avoid ecological bias by separating out within-trial and across-trial information. Stat Med 36(5):772–789. https://doi.org/10.1002/sim.7171
Simmonds M, Higgins J (2007) Covariate heterogeneity in meta-analysis: criteria for deciding between meta-regression and individual aptient data. Stat Med 26:2982–2999
Thompson S, Higgins J (2005) Can meta-analysis help target interventions at individuals most likely to benefit? Lancet 365:341–346
Donegan S, Welton NJ, Tudur Smith C, D'Alessandro U, Dias S (2017) Network meta-analysis including treatment by covariate interactions: consistency can vary across covariate values. Res Synth Methods 8(4):485–495. https://doi.org/10.1002/jrsm.1257
Pigott T (2001) A review of methods for missing data. Educ Res Eval 7:353–383
Carpenter JR, Kenward M (2007) Missing data in randomised controlled trials: a practical guide. Health Technology Assessment Methodology Programme, Birmingham, p 199. https://researchonlinelshtmacuk/id/eprint/4018500
Higgins J, White I, Wood A (2008) Imputation methods for missing outcome data in meta-analysis of clinical trials. Clin Trials 5(3):225–239
Mavridis D, Chaimani A, Efthimiou O, Leucht S, Salanti G (2014) Addressing missing outcome data in meta-analysis. Evid Based Ment Health 17:85–89
Burgess S, White IR, Resche-Rigon M, Wood AM (2013) Combining multiple imputation and meta-analysis with individual participant data. Stat Med 32(26):4499–4514. https://doi.org/10.1002/sim.5844
Lunn D, Jackson C, Best N, Thomas A, Spiegelhalter D (2013) The BUGS book. A practical introduction to Bayesian analysis. Texts in statistical science. CRC Press, Boca Raton, FL, USA
Quartagno M, Carpenter JR (2016) Multiple imputation for IPD meta-analysis: allowing for heteroegneity and studies with missing covariates. Stat Med 35:2938–2954
Donegan S, Williamson P, D'Alessandro U, Garner P, Smith CT (2013) Combining individual patient data and aggregate data in mixed treatment comparison meta-analysis: individual patient data may be beneficial if only for a subset of trials. Stat Med 32(6):914–930. https://doi.org/10.1002/sim.5584
Saramago P, Sutton AJ, Cooper NJ, Manca A (2012) Mixed treatment comparisons using aggregate and individual participant level data. Stat Med 31(28):3516–3536. https://doi.org/10.1002/sim.5442
Saramago P, Chuang L, Soares MO (2014) Network meta-analysis of (individual patient) time to event data alongside (aggregate) count data. BMC Med Res Methodol 14:105
Sutton A, Kendrick D, Coupland C (2008) Meta-analysis of individual- and aggregate-level data. Stat Med 27:651–669
Riley RD, Steyerberg E (2010) Meta-analysis of a binary outcome using individual participant data and aggregate data. Res Synth Methods 1:2–19
Dias S, Welton NJ, Sutton A, Ades A (2011, Last updated 2016) NICE DSU technical support document 2: a generalised linear modelling framework for pairwise and network meta-analysis of randomised controlled trials. Available from www.nicedsu.org.uk
Royston P, Parmar MK (2016) Augmenting the logrank test in the design of clinical trials in which non-proportional hazards of the treatment effect may be anticipated. BMC Med Res Methodol 16:16
Trinquart L, Jacot J, Conner S, Porcher R (2016) Comparison of treatment effects measured by the hazard ratio and by the ratio of restricted mean survival times in oncology randomized controlled trials. J Clin Oncol 34(15):1813–1819
Freeman SC, Carpenter JR (2017) Bayesian one-step IPD network meta-analysis of time-to-event data using Royston-Parmar models. Res Synth Methods 8(4):451–464. https://doi.org/10.1002/jrsm.1253
Lu G, Ades A, Sutton A, Cooper N, Briggs A, Caldwell D (2007) Meta-analysis of mixed treatment comparisons at multiple follow-up times. Stat Med 26(20):3681–3699
Royston P, Parmar MK (2002) Flexible parametric proportional-hazards and proportional-odds models for censored survival data with application to prognostic modelling and estimation of treatment effects. Stat Med 21(15):2175–2197
Royston P, Altman D (1994) Regression using fractional polynomials of continuous covariates: parsimonious parametric modelling (with discussion). Appl Stat 43(3):429–467
Jansen JP (2011) Network meta-analysis of survival data with fractional polynomials. BMC Med Res Methodol 11:61
Crowther MJ, Riley RD, Staessen J, Wang J, Gueyffier F, Lambert PC (2012) Individual patient data meta-analysis of survival data using Poisson regression models. BMC Med Res Methodol 12:34
de Jong VMT, Moons KGM, Riley RD, Smith CT, Marson AG, Eijkemans MJC, Debray TPA (2019) Individual participant data meta-analysis of intervention studies with time-to-event outcomes: a review of the methodology and an applied example. Res Synth Methods 11(2):148–168. https://doi.org/10.1002/jrsm.1384
Parmar MK, Torri V, Stewart L (1998) Extracting summary statistics to perform meta-analyses of the published literature for survival endpoints. Stat Med 17:2815–2834
Williamson P, Tudur Smith C, Hutton J, Marson A (2002) Aggregate data meta-analysis with time-to-event outcomes. Stat Med 21:3337–3351
Guyot P, Ades A, Ouwens M, Welton N (2012) Enhanced secondary analysis of survival data: reconstructing the data from published Kaplan-Meier survival curves. BMC Med Res Methodol 12:9
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 Springer Science+Business Media, LLC, part of Springer Nature
About this protocol
Cite this protocol
Freeman, S.C. (2022). Individual Patient Data Meta-Analysis and Network Meta-Analysis. In: Evangelou, E., Veroniki, A.A. (eds) Meta-Research. Methods in Molecular Biology, vol 2345. Humana, New York, NY. https://doi.org/10.1007/978-1-0716-1566-9_17
Download citation
DOI: https://doi.org/10.1007/978-1-0716-1566-9_17
Published:
Publisher Name: Humana, New York, NY
Print ISBN: 978-1-0716-1565-2
Online ISBN: 978-1-0716-1566-9
eBook Packages: Springer Protocols