Estimating within-study covariances inmultivariate meta-analysis with multipleoutcomes

Statistics in Medicine

Volumn 32, Issue 7, 2013, Pages 1191-1205

  Wei, Yinghui ^a   Higgins, Julian Pt ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Correlated outcomes; Delta method; Multivariate meta analysis; Nested events; Within study correlation

Indexed keywords

ARTICLE; CORRELATION ANALYSIS; COVARIANCE; META ANALYSIS (TOPIC); MULTIVARIATE ANALYSIS OF COVARIANCE; OUTCOME ASSESSMENT; PROBABILITY; RANDOMIZATION; SIMULATION;

BIOSTATISTICS; CARDIOVASCULAR AGENTS; HUMANS; META-ANALYSIS AS TOPIC; MODELS, STATISTICAL; MULTIVARIATE ANALYSIS; ODDS RATIO; RANDOMIZED CONTROLLED TRIALS AS TOPIC; STROKE; TREATMENT OUTCOME;

EID: 84874964872     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.5679     Document Type: Article

References (33)

1. Sutton AJ, Higgins JP. Recent developments in meta-analysis. Statistics in Medicine 2008; 27(5):625-650.
2. Kalaian HA, Raudenbush SW. A multivariate mixed-effects linear model for meta-analysis. Psychological Methods 1996; 1(2):227-235.
3. Berkey CS, Antczak-Bouckoms A, Hoaglin DC, Mosteller F, Pihlstrom BL. Multiple-outcomes meta-analysis of treatments for periodontal disease. Journal of Dental Research 1995; 74(4):1030-1039.
4. Geeganage C, Bath PM. Vasoactive drugs for acute stroke. Cochrane Database of Systematic Reviews 2010; (7):CD002839.
5. Schurks M, Glynn RJ, Rist PM, Tzourio C, Kurth T. Effects of vitamin E on stroke subtypes: meta-analysis of randomised controlled trials. BMJ 2010; 341:c5702.
6. Farquhar C, Basser R, Hetrick S, Lethaby A, Marjoribanks J. High dose chemotherapy and autologous bone marrow or stem cell transplantation versus conventional chemotherapy for women with metastatic breast cancer. Cochrane Database of Systematic Reviews 2003; (1):CD003142.
7. Daniels MJ, Hughes MD. Meta-analysis for the evaluation of potential surrogate markers. Statistics in Medicine 1997; 16(17):1965-1982.
8. 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.
9. 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; 7:3.
10. Riley RD. Multivariate meta-analysis: the effect of ignoring within-study correlation. Journal of the Royal Statistical Society Series A-Statistics in Society 2009; 172:789-811.
11. Dwan K, Altman DG, Cresswell L, Blundell M, Gamble CL, Williamson PR. Comparison of protocols and registry entries to published reports for randomised controlled trials. Cochrane Database of Systematic Reviews 2011; (1):MR000031.
12. Dwan K, Altman DG, Arnaiz JA, Bloom J, Chan AW, Cronin E, Decullier E, Easterbrook PJ, Von EE, Gamble C, Ghersi D, Ioannidis JP, Simes J, Williamson PR. Systematic review of the empirical evidence of study publication bias and outcome reporting bias. PLoS One 2008; 3(8):e3081.
13. Harbord RM, Deeks JJ, Egger M, Whiting P, Sterne JA. A unification of models for meta-analysis of diagnostic accuracy studies. Biostatistics 2007; 8(2):239-251.
14. Jackson D, Riley R, White IR. Multivariate meta-analysis: potential and promise. Statistics in Medicine 2011; 30(20):2481-2498.
15. Mavridis D, Salanti G. A practical introduction to multivariate meta-analysis. Statistical Methods in Medical Research (Epub ahead of print, published 16 Feb 2012).
16. 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.
17. vanHouwelingen HC, Arends LR, Stijnen T. Advanced methods in meta-analysis: multivariate approach and meta-regression. Statistics in Medicine 2002; 21(4):589-624.
18. White IR. Multivariate random-effects meta-analysis. The Stata Journal 2009; 9:40-56.
19. Jackson D, White IR, Thompson SG. Extending DerSimonian and Laird's methodology to perform multivariate random effects meta-analyses. Statistics in Medicine 2010; 29(12):1282-1297.
20. Lunn DJ, Thomas A, Best N, Spiegelhalter D. WinBUGS - a Bayesian modeling framework: concepts, structure, and extensibility. Statistics and Computing 2011; 10:325-337.
21. Berkey CS, Anderson JJ, Hoaglin DC. Multiple-outcome meta-analysis of clinical trials. Statistics in Medicine 1996; 15(5):537-557.
22. Berkey CS, Hoaglin DC, Mosteller F, Colditz GA. A random-effects regression model for meta-analysis. Statistics in Medicine 1995; 14(4):395-411.
23. Nam IS, Mengersen K, Garthwaite P. Multivariate meta-analysis. Statistics in Medicine 2003; 22(14):2309-2333.
24. Cox C. Delta method. In Encyclopedia of Biostatistics, Armitage P, Colton T (eds). John Wiley & Sons: UK, 2005; 1125-1127.
25. Trikalinos TA, Olkin I. A method for the meta-analysis of mutually exclusive binary outcomes. Statistics in Medicine 2008; 27(21):4279-4300.
26. Hedges LV. Distribution theory for Glass's estimator of effect size and related estimators. Journal of Educational Statistics 1981; 6:107-128.
27. Gleser LJ, Olkin I. Stochastically dependent effect sizes. In The Handbook fo Research Synthesis, Cooper H, Hedges LV (eds). Russell Sage Foundation: New York, 1994; 339-355.
28. White IR, Thomas J. Standardized mean differences in individually-randomized and cluster-randomized trials, with applications to meta-analysis. Clinical Trials 2005; 2(2):141-151.
29. Ma Y, Mazumdar M. Multivariate meta-analysis: a robust approach based on the theory of U-statistic. Statistics in Medicine 2011; 30(24):2911-2929.
30. White IR. Multivariate random-effects meta-regression: update to mvmeta. The Stata Journal 2011; 11(2):255-270.
31. Gavish B, Ben-Dov IZ, Bursztyn M. Linear relationship between systolic and diastolic blood pressure monitored over 24h: assessment and correlates. Journal of Hypertension 2008; 26(2):199-209.
32. Dempster AP. Elements of Continuous Multivariate Analysis. Addison-Wesley: Reading, MA, 1969.
33. Yang R, Berger JO. Estimation of a covariance matrix using the reference prior. Annals of Statistics 1994; 22:1195-1211.