Skip to main content
Top
Published in: PharmacoEconomics 8/2013

01-08-2013 | Original Research Article

A Choice That Matters?

Simulation Study on the Impact of Direct Meta-Analysis Methods on Health Economic Outcomes

Authors: Pepijn Vemer, Maiwenn J. Al, Mark Oppe, Maureen P. M. H. Rutten-van Mölken

Published in: PharmacoEconomics | Issue 8/2013

Login to get access

Abstract

Background

Decision-analytic cost-effectiveness (CE) models combine many different parameters like transition probabilities, event probabilities, utilities and costs, which are often obtained after meta-analysis. The method of meta-analysis may affect the CE estimate.

Aim

Our aim was to perform a simulation study that compares the performance of different methods of meta-analysis, especially with respect to model-based health economic (HE) outcomes.

Methods

A reference patient population of 50,000 was simulated from which sets of samples were drawn. Each sample drawn represented a clinical trial comparing two fictitious interventions. In several scenarios, the heterogeneity between these trials was varied, by drawing one or more of the trials from predefined subpopulations. Parameter estimates from these trials were combined using frequentist fixed (FFE) and random effects (FRE), and Bayesian fixed (BFE) and random effects (BRE) meta-analysis. The pooled parameter estimates were entered into a probabilistic cost-effectiveness Markov model. The four methods of meta-analysis resulted in different parameter estimates and HE outcomes, which were compared with the true values in the reference population. Performance statistics were: (1) the percentage of repetitions that the confidence interval of the probabilistic sensitivity analysis covers the true value (coverage), (2) the difference between the estimated and true value (bias), (3) the mean absolute value of the bias (MAD) and (4) the percentage of repetitions that result in a statistically significant difference between the two interventions (statistical power). As the differences between methods could be due to chance, we repeated every step of the analysis 1,000 times to study whether differences were systematic.

Results

FFE, FRE and BFE lead to different parameter estimates, but, when entered into the model, they do not lead to large differences in the point estimates of the HE outcomes, even in scenarios where we built in heterogeneity. Random effects methods do not necessarily reduce bias when heterogeneity is added to the trials, and may even increase bias in certain situations. BRE tends to overestimate uncertainty reflected in the CE acceptability curve.

Conclusion

FFE, FRE and BFE lead to comparable HE outcomes. BRE tends to overestimate uncertainty. Based on this study, we recommend FRE as the preferred method of meta-analysis.
Appendix
Available only for authorised users
Literature
2.
go back to reference Cooper NJ, Sutton AJ, Abrams KR, Turner D, Wailoo A. Comprehensive decision analytical modelling in economic evaluation: a Bayesian approach. Health Econ. 2004;13(3):203–26.CrossRefPubMed Cooper NJ, Sutton AJ, Abrams KR, Turner D, Wailoo A. Comprehensive decision analytical modelling in economic evaluation: a Bayesian approach. Health Econ. 2004;13(3):203–26.CrossRefPubMed
3.
go back to reference Ades AE, Sculpher M, Sutton A, Abrams K, Cooper N, Welton N, et al. Bayesian methods for evidence synthesis in cost-effectiveness analysis. Pharmacoeconomics. 2006;24(1):1–19.CrossRefPubMed Ades AE, Sculpher M, Sutton A, Abrams K, Cooper N, Welton N, et al. Bayesian methods for evidence synthesis in cost-effectiveness analysis. Pharmacoeconomics. 2006;24(1):1–19.CrossRefPubMed
4.
go back to reference Riley RD, Simmonds MC, Look MP. Evidence synthesis combining individual patient data and aggregate data: a systematic review identified current practice and possible methods. J Clin Epidemiol. 2007;60(5):431–9.CrossRefPubMed Riley RD, Simmonds MC, Look MP. Evidence synthesis combining individual patient data and aggregate data: a systematic review identified current practice and possible methods. J Clin Epidemiol. 2007;60(5):431–9.CrossRefPubMed
5.
go back to reference Brockwell SE, Gordon IR. A comparison of statistical methods for meta-analysis. Stat Med. 2001;20(6):825–40. Brockwell SE, Gordon IR. A comparison of statistical methods for meta-analysis. Stat Med. 2001;20(6):825–40.
6.
go back to reference Sutton AJ, Abrams KR. Bayesian methods in meta-analysis and evidence synthesis. 2001;10(4):277–303. Sutton AJ, Abrams KR. Bayesian methods in meta-analysis and evidence synthesis. 2001;10(4):277–303.
7.
go back to reference Sutton AJ, Higgins JP. Recent developments in meta-analysis. Stat Med. 2008;27(5):625–50. Sutton AJ, Higgins JP. Recent developments in meta-analysis. Stat Med. 2008;27(5):625–50.
9.
go back to reference Oppe M, Al M, Rutten-van Molken M. Comparing methods of data synthesis: re-estimating parameters of an existing probabilistic cost-effectiveness model. Pharmacoeconomics. 2011;29(3):239–50.CrossRefPubMed Oppe M, Al M, Rutten-van Molken M. Comparing methods of data synthesis: re-estimating parameters of an existing probabilistic cost-effectiveness model. Pharmacoeconomics. 2011;29(3):239–50.CrossRefPubMed
10.
go back to reference Higgins JP, Thompson SG, Deeks JJ, Altman DG. Measuring inconsistency in meta-analyses. BMJ. 2003;327(7414):557–60.CrossRefPubMed Higgins JP, Thompson SG, Deeks JJ, Altman DG. Measuring inconsistency in meta-analyses. BMJ. 2003;327(7414):557–60.CrossRefPubMed
11.
go back to reference DerSimonian R, Laird N. Meta-analysis in clinical trials. Control Clin Trials. 1986;7(3):177–88. DerSimonian R, Laird N. Meta-analysis in clinical trials. Control Clin Trials. 1986;7(3):177–88.
12.
go back to reference Higgins JP, Thompson SG. Quantifying heterogeneity in a meta-analysis. Stat Med. 2002;21(11):1539–58. Higgins JP, Thompson SG. Quantifying heterogeneity in a meta-analysis. Stat Med. 2002;21(11):1539–58.
13.
go back to reference Gelman A, Carlin JB, Stern HS, Rubin DB. Bayesian data analysis. London: Chapman & Hall; 1995. Gelman A, Carlin JB, Stern HS, Rubin DB. Bayesian data analysis. London: Chapman & Hall; 1995.
14.
go back to reference Carlin BP, Louis TA. Bayes and empirical Bayes methods for data analysis. London: Chapman & Hall; 1996. Carlin BP, Louis TA. Bayes and empirical Bayes methods for data analysis. London: Chapman & Hall; 1996.
15.
go back to reference Jaynes E. Confidence intervals vs Bayesian intervals. In: Harper W, Hooker CA, editors. Foundations of probability theory, statistical inference, and statistical theories of science. Dordrecht: D Reidel; 1976. p. 175.CrossRef Jaynes E. Confidence intervals vs Bayesian intervals. In: Harper W, Hooker CA, editors. Foundations of probability theory, statistical inference, and statistical theories of science. Dordrecht: D Reidel; 1976. p. 175.CrossRef
16.
go back to reference O’Hagan A, Luce B. A primer on Bayesian statistics in health economics and outcomes research. Sheffield: Centre for Bayesian Statistics in Health Economics; 2003. O’Hagan A, Luce B. A primer on Bayesian statistics in health economics and outcomes research. Sheffield: Centre for Bayesian Statistics in Health Economics; 2003.
17.
go back to reference 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. Stat Med. 2005;24(15):2401–28.CrossRefPubMed 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. Stat Med. 2005;24(15):2401–28.CrossRefPubMed
18.
go back to reference Song F, Altman DG, Glenny AM, Deeks JJ. Validity of indirect comparison for estimating efficacy of competing interventions: empirical evidence from published meta-analyses. BMJ. 2003;326(7387):472. Song F, Altman DG, Glenny AM, Deeks JJ. Validity of indirect comparison for estimating efficacy of competing interventions: empirical evidence from published meta-analyses. BMJ. 2003;326(7387):472.
19.
go back to reference Strassmann R, Bausch B, Spaar A, Kleijnen J, Braendli O, Puhan MA. Smoking cessation interventions in COPD: a network meta-analysis of randomised trials. Eur Respir J. 2009;34(3):634–40.CrossRefPubMed Strassmann R, Bausch B, Spaar A, Kleijnen J, Braendli O, Puhan MA. Smoking cessation interventions in COPD: a network meta-analysis of randomised trials. Eur Respir J. 2009;34(3):634–40.CrossRefPubMed
20.
go back to reference Puhan MA, Bachmann LM, Kleijnen J, Ter Riet G, Kessels AG. Inhaled drugs to reduce exacerbations in patients with chronic obstructive pulmonary disease: a network meta-analysis. BMC Med. 2009;14(7):2.CrossRef Puhan MA, Bachmann LM, Kleijnen J, Ter Riet G, Kessels AG. Inhaled drugs to reduce exacerbations in patients with chronic obstructive pulmonary disease: a network meta-analysis. BMC Med. 2009;14(7):2.CrossRef
21.
go back to reference Lu G, Ades AE. Assessing evidence inconsistency in mixed treatment comparisons. J Am Stat Assoc. 2006;101:447–59.CrossRef Lu G, Ades AE. Assessing evidence inconsistency in mixed treatment comparisons. J Am Stat Assoc. 2006;101:447–59.CrossRef
Metadata
Title
A Choice That Matters?
Simulation Study on the Impact of Direct Meta-Analysis Methods on Health Economic Outcomes
Authors
Pepijn Vemer
Maiwenn J. Al
Mark Oppe
Maureen P. M. H. Rutten-van Mölken
Publication date
01-08-2013
Publisher
Springer International Publishing
Published in
PharmacoEconomics / Issue 8/2013
Print ISSN: 1170-7690
Electronic ISSN: 1179-2027
DOI
https://doi.org/10.1007/s40273-013-0067-0

Other articles of this Issue 8/2013

PharmacoEconomics 8/2013 Go to the issue