Efficient network meta-analysis: A confidence distribution approach

Statistical Methodology

Volumn 20, Issue , 2014, Pages 105-125

  Yang, Guang ^a   Liu, Dungang ^b   Liu, Regina Y ^a   Xie, Minge ^a   Hoaglin, David C ^c  

^a RUTGERS UNIVERSITY   (United States)

^b YALE UNIVERSITY   (United States)

^c Independent Consultant   (United States)

Author keywords

Confidence distribution; Mixed treatment comparisons; Multiple treatment comparison; Network meta analysis; Random effects model

Indexed keywords

EID: 84900411173     PISSN: 15723127     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.stamet.2014.01.003     Document Type: Article

References (34)

1. Cox D. Discussion of "Confidence distribution, the frequentist distribution estimator of a parameter-a review" by Xie and Singh. Internat. Statist. Rev. 2013, 81(1):40-41.
2. Dempster A.P. The Dempster-Shafer calculus for statisticians. Int. J. Approx. Reason. 2008, 48:365-377.
3. DerSimonian R., Laird N. Meta-analysis in clinical trials. Controll. Clin. Trials 1986, 7(3):177-188.
4. Dias S., Welton N.J., Caldwell D.M., Ades A.E. Checking consistency in mixed treatment comparison meta-analysis. Stat. Med. 2010, 29(7-8):932-944.
5. Emerson J.D., Hoaglin D.C., Mosteller F. A modified random-effect procedure for combining risk difference in sets of 2 × 2 tables from clinical trials. J. Ital. Statist. Soc. 1993, 2(3):269-290.
6. Hannig J., Xie M. A note on Dempster-Shafer recombination of confidence distributions. Electron. J. Stat. 2012, 6:1943-1966.
7. Hardy R., Thompson S. A likelihood approach to meta-analysis with random effects. Stat. Med. 1996, 15(6):619-629.
8. Higgins J., Thompson S., Deeks J., Altman D. Statistical heterogeneity in systematic reviews of clinical trials: a critical appraisal of guidelines and practice. J. Health Serv. Res. Policy 2002, 7(1):51.
9. Higgins J., Thompson S., Deeks J., Altman D. Measuring inconsistency in meta-analyses. British Medical J. 2003, 327(7414):557-560.
10. Hoaglin D.C., Hawkins N., Jansen J.P., Scott D.A., Itzler R., Cappelleri J.C., Boersma C., Thompson D., Larholt K.M., Diaz M., Barrett A. Conducting indirect-treatment-comparison and network-meta-analysis studies: report of the ISPOR Task Force on Indirect Treatment Comparisons Good Research Practices: part 2. Value Health 2011, 14(4):429-437.
11. Jackson D., White I., Thompson S. Extending DerSimonian and Laird's methodology to perform multivariate random effects meta-analyses. Stat. Med. 2010, 29(12):1282-1297.
12. Jansen J.P., Fleurence R., Devine B., Itzler R., Barrett A., Hawkins N., Lee K., Boersma C., Annemans L., Cappelleri J.C. Interpreting indirect treatment comparisons and network meta-analysis for health-care decision making: report of the ISPOR Task Force on Indirect Treatment Comparisons Good Research Practices: part 1. Value Health 2011, 14(4):417-428.
13. Joseph L., Du Berger R., Belisle P. Bayesian and mixed Bayesian/likelihood criteria for sample size determination. Stat. Med. 1997, 16(7):769-781.
14. D. Liu, Combining information for heterogeneous studies and rare events studies: a confidence distribution approach, Ph.D. Thesis, Rutgers University, 2012.
15. D. Liu, R. Liu, M. Xie, Exact meta-analysis approach for discrete data and its application to 2 × 2 tables with rare events. Preprint, Rutgers University, 2012.
16. Lu G., Ades A.E. Combination of direct and indirect evidence in mixed treatment comparisons. Stat. Med. 2004, 23(20):3105-3124.
17. Lu G., Ades A.E. Assessing evidence inconsistency in mixed treatment comparisons. J. Amer. Statist. Assoc. 2006, 101(474):447-459.
18. Lumley T. Network meta-analysis for indirect treatment comparisons. Stat. Med. 2002, 21(16):2313-2324.
19. Martin R., Liu C. Inferential models: A framework for prior-free posterior probabilistic inference. J. Amer. Statist. Assoc. 2013, 108(501):301-313.
20. Normand S. Meta-analysis: formulating, evaluating, combining, and reporting. Stat. Med. 1999, 18(3):321-359.
21. Pagliaro L., D'Amico G., Sörensen T.I.A., Lebrec D., Burroughs A.K., Morabito A., Tiné F., Politi F., Traina M. Prevention of first bleeding in cirrhosis. A meta-analysis of randomized trials of nonsurgical treatment. Ann. Internal Medicine 1992, 117(1):59-70.
22. Schweder T., Hjort N. Confidence and likelihood. Scand. J. Stat. 2002, 29(2):309-332.
23. Sidik K., Jonkman J. A comparison of heterogeneity variance estimators in combining results of studies. Stat. Med. 2007, 26(9):1964-1981.
24. Simmonds M., Higgins J. Covariate heterogeneity in meta-analysis: criteria for deciding between meta-regression and individual patient data. Stat. Med. 2007, 26(15):2982-2999.
25. Singh K., Xie M., Strawderman W.E. Combining information from independent sources through confidence distributions. Ann. Statist. 2005, 33(1):159-183.
26. Singh K., Xie M., Strawderman W.E. Confidence distribution (cd): distribution estimator of a parameter. Monograph Series 2007, vol. 54:132-150. Institute of Mathematical Statistics. R. Liu, W. Strawderman, C.-H. Zhan (Eds.).
27. Smith T., Spiegelhalter D., Thomas A. Bayesian approaches to random-effects meta-analysis: a comparative study. Stat. Med. 1995, 14(24):2685-2699.
28. Stettler C., Wandel S., Allemann S., Kastrati A., Morice M.C., Schömig A., Pfisterer M.E., Stone G.W., Leon M.B., de Lezo J.S., et al. Outcomes associated with drug-eluting and bare-metal stents: a collaborative network meta-analysis. The Lancet 2007, 370(9591):937-948.
29. Sutton A.J., Higgins J.P.T. Recent developments in meta-analysis. Stat. Med. 2008, 27(5):625-650.
30. Thorlund K., Wetterslev J., Awad T., Thabane L., Gluud C. Comparison of statistical inferences from the DerSimonian-Laird and alternative random-effects model meta-analyses-an empirical assessment of 920 Cochrane primary outcome meta-analyses. Res. Synth. Methods 2011, 2(4):238-253.
31. Tian L., Cai T., Pfeffer M.A., Piankov N., Cremieux P.-Y., Wei L.J. Exact and efficient inference procedure for meta-analysis and its application to the analysis of independent 2 × 2 tables with all available data but without artificial continuity correction. Biostatistics 2009, 10(2):275-281.
32. Xie M., Singh K. Confidence distribution, the frequentist distribution estimator of a parameter-a review (with discussion). Internat. Statist. Rev. 2013, 81(1):3-39.
33. Xie M., Singh K., Strawderman W.E. Confidence distributions and a unifying framework for meta-analysis. J. Amer. Statist. Assoc. 2011, 106(493):320-333.
34. G. Yang, Meta-analysis through combining confidence distributions, Ph.D. Thesis, Rutgers University, 2013.