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. 2020 Jul 8;20(1):184.
doi: 10.1186/s12874-020-01025-8.

Multivariate network meta-analysis incorporating class effects

Affiliations

Multivariate network meta-analysis incorporating class effects

Rhiannon K Owen et al. BMC Med Res Methodol. .

Abstract

Background: Network meta-analysis synthesises data from a number of clinical trials in order to assess the comparative efficacy of multiple healthcare interventions in similar patient populations. In situations where clinical trial data are heterogeneously reported i.e. data are missing for one or more outcomes of interest, synthesising such data can lead to disconnected networks of evidence, increased uncertainty, and potentially biased estimates which can have severe implications for decision-making. To overcome this issue, strength can be borrowed between outcomes of interest in multivariate network meta-analyses. Furthermore, in situations where there are relatively few trials informing each treatment comparison, there is a potential issue with the sparsity of data in the treatment networks, which can lead to substantial parameter uncertainty. A multivariate network meta-analysis approach can be further extended to borrow strength between interventions of the same class using hierarchical models.

Methods: We extend the trivariate network meta-analysis model to incorporate the exchangeability between treatment effects belonging to the same class of intervention to increase precision in treatment effect estimates. We further incorporate a missing data framework to estimate uncertainty in trials that did not report measures of variability in order to maximise the use of all available information for healthcare decision-making. The methods are applied to a motivating dataset in overactive bladder syndrome. The outcomes of interest were mean change from baseline in incontinence, voiding and urgency episodes. All models were fitted using Bayesian Markov Chain Monte Carlo (MCMC) methods in WinBUGS.

Results: All models (univariate, multivariate, and multivariate models incorporating class effects) produced similar point estimates for all treatment effects. Incorporating class effects in multivariate models often increased precision in treatment effect estimates.

Conclusions: Multivariate network meta-analysis incorporating class effects allowed for the comparison of all interventions across all outcome measures to ameliorate the potential impact of outcome reporting bias, and further borrowed strength between interventions belonging to the same class of treatment to increase the precision in treatment effect estimates for healthcare policy and decision-making.

Keywords: Class effect; Meta-analysis; Mixed treatment comparisons; Multivariate; Network meta-analysis.

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Conflict of interest statement

RKO has served as a paid consultant, providing methodological advice to Astellas, Creativ-Ceutical, Cogentia, Daiichi Sankyo, NICE, Roche, and Vifor. She is a member of the NICE Technology Appraisal Committee. SB has served as a paid consultant, providing methodological advice, to NICE and Roche, and has received research funding from European Federation of Pharmaceutical Industries & Associations (EFPIA) and Johnson & Johnson. DGT has served as a paid consultant with Femeda, SynerMed, Cambridge Medical Robotics, and Allergan in the last 10 years. KRA has served as a paid consultant, providing methodological advice, to; Abbvie, Amaris, Allergan, Astellas, AstraZeneca, Boehringer Ingelheim, Bristol-Meyers Squibb, Creativ-Ceutical, GSK, ICON/Oxford Outcomes, Ipsen, Janssen, Eli Lilly, Merck, NICE, Novartis, NovoNordisk, Pfizer, PRMA, Roche and Takeda, and has received research funding from Association of the British Pharmaceutical Industry (ABPI), European Federation of Pharmaceutical Industries & Associations (EFPIA), Pfizer and Sanofi and Swiss Precision Diagnostics. He is a Partner and Director of Visible Analytics Limited, a healthcare consultancy company.

Figures

Fig. 1
Fig. 1
Network of evidence for univariate network meta-analysis for incontinence episodes
Fig. 2
Fig. 2
Network of evidence for univariate network meta-analysis for voiding episodes
Fig. 3
Fig. 3
Network of evidence for univariate network meta-analysis for urgency episodes
Fig. 4
Fig. 4
Classification of interventions
Fig. 5
Fig. 5
Network of evidence for multivariate network meta-analysis
Fig. 6
Fig. 6
Comparison of the estimated posterior median difference (and 95% credible intervals) in change from baseline in incontinence episodes relative to placebo between individual-intervention, hierarchical, and multivariate hierarchical NMA models for the top 10 interventions
Fig. 7
Fig. 7
Comparison of the estimated posterior median difference (and 95% credible intervals) in change from baseline in voiding episodes relative to placebo between individual-intervention, hierarchical, and multivariate hierarchical NMA models for the top 10 interventions
Fig. 8
Fig. 8
Comparison of the estimated posterior median difference (and 95% credible intervals) in change from baseline in urgency episodes relative to placebo between individual-intervention, hierarchical, and multivariate hierarchical NMA models for the top 10 interventions
Fig. 9
Fig. 9
Heatmap of intervention profiles for the cardinal symptoms of OAB

References

    1. Sterne JA, White IR, Carlin JB, Spratt M, Royston P, Kenward MG, Wood AM, Carpenter JR. Multiple imputation for missing data in epidemiological and clinical research: potential and pitfalls. Bmj. 2009;338:2393. - PMC - PubMed
    1. Lumley T. Network meta-analysis for indirect treatment comparisons. Stat Med. 2002;21(16):2313–24. - PubMed
    1. Lu G, Ades A. Combination of direct and indirect evidence in mixed treatment comparisons. Stat Med. 2004;23(20):3105–24. - PubMed
    1. Caldwell DM, Ades A, Higgins J. Simultaneous comparison of multiple treatments: combining direct and indirect evidence. Br Med J. 2005;7521:897. - PMC - PubMed
    1. Kirkham JJ, Riley RD, Williamson PR. A multivariate meta-analysis approach for reducing the impact of outcome reporting bias in systematic reviews. Stat Med. 2012;31(20):2179–95. - PubMed

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