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Sensitivity of between-study heterogeneity in meta-analysis: proposed metrics and empirical evaluation
Open accessAbstract
BACKGROUND: Several approaches are available for evaluating heterogeneity in meta-analysis. Sensitivity analyses are often used, but these are often implemented in various non-standardized ways. METHODS: We developed and implemented sequential and combinatorial algorithms that evaluate the change in between-study heterogeneity as one or more studies are excluded from the calculations. The algorithms exclude studies aiming to achieve either the maximum or the minimum final I(2) below a desired pre-set threshold. We applied these algorithms in databases of meta-analyses of binary outcome and >/=4 studies from Cochrane Database of Systematic Reviews (Issue 4, 2005, n = 1011) and meta-analyses of genetic associations (n = 50). Two I(2) thresholds were used (50% and 25%). RESULTS: Both algorithms have succeeded in achieving the pre-specified final I(2) thresholds. Differences in the number of excluded studies varied from 0% to 6% depending on the database and the heterogeneity threshold, while it was common to exclude different specific studies. Among meta-analyses with initial I(2) > 50%, in the large majority [19 (90.5%) and 208 (85.9%) in genetic and Cochrane meta-analyses, respectively] exclusion of one or two studies sufficed to decrease I(2) < 50%. Similarly, among meta-analyses with initial I(2) > 25%, in most cases [16 (57.1%) and 382 (81.3%), respectively) exclusion of one or two studies sufficed to decrease heterogeneity even <25%. The number of excluded studies correlated modestly with initial estimated I(2) (correlation coefficients 0.52-0.68 depending on algorithm used). CONCLUSIONS: The proposed algorithms can be routinely applied in meta-analyses as standardized sensitivity analyses for heterogeneity. Caution is needed evaluating post hoc which specific studies are responsible for the heterogeneity.
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Cites
Measuring inconsistency in meta-analyses
Higgins, J. P. T., Thompson, S. G., Deeks, J. J., & Altman, D. G. (2003) · BMJ · doi:10.1136/bmj.327.7414.557 · Cited by 63,139
Quantifying heterogeneity in a meta‐analysis
Higgins, J. P. T., & Thompson, S. G. (2002) · Statistics in Medicine · doi:10.1002/sim.1186 · Cited by 36,763
The combination of estimates from different experiments
Cochran, W. G. (1954) · Biometrics · doi:10.2307/3001666 · Cited by 5,380
Assessing heterogeneity in meta-analysis: Q statistic or I² index?
Huedo-Medina, T. B., Sánchez-Meca, J., Marín-Martínez, F., & Botella, J. (2006) · Psychological Methods · doi:10.1037/1082-989x.11.2.193 · Cited by 4,256
Assessing the quality of controlled clinical trials
Jüni, P., Altman, D. G., & Egger, M. (2001) · BMJ · doi:10.1136/bmj.323.7303.42 · Cited by 3,309
Systematic Reviews in Health Care: Meta‐Analysis in Context
(2001) · doi:10.1002/9780470693926 · Cited by 1,693
Controlling the risk of spurious findings from meta-regression
Higgins, J. P. T., & Thompson, S. G. (2004) · Statistics in Medicine · doi:10.1002/sim.1752 · Cited by 1,267
Systematic Review: Why sources of heterogeneity in meta-analysis should be investigated
Thompson, S. G. (1994) · BMJ · doi:10.1136/bmj.309.6965.1351 · Cited by 1,017
Research works printed but not linked: 20
- Lau, 1998, Summing up evidence: one answer is not always enough, Lancet, 351, 123, 10.1016/S0140-6736(97)08468-7 · DOI · Paper page
- Glasziou, 2002, Investigating causes of heterogeneity in systematic reviews, Stat Med, 21, 1503, 10.1002/sim.1183 · DOI
- Sutton, 2000, Methods for Meta-analysis in Medical Research.
- Galbraith, 1988, A note on graphical presentation of estimated odds ratios from several clinical trials, Stat Med, 7, 889, 10.1002/sim.4780070807 · DOI · Paper page
- Baujat, 2002, A graphical method for exploring heterogeneity in meta-analyses: application to a meta-analysis of 65 trials, Stat Med, 21, 2641, 10.1002/sim.1221 · DOI · Paper page
- Ioannidis, 2006, Implications of small effect sizes of individual genetic variants on the design and interpretation of genetic association studies of complex diseases, Am J Epidemiol, 164, 609, 10.1093/aje/kwj259 · DOI
- Ioannidis, 2001, Replication validity of genetic association studies, Nat Genet, 29, 306, 10.1038/ng749 · DOI · Paper page
- Schierhout, 2001, Anti-epileptic drugs for preventing seizures following acute traumatic brain injury, The Cochrane Database of Systematic Reviews, 10.1002/14651858.CD000173 · DOI
- Faggiano, 2003, Methadone maintenance at different dosages for opioid dependence, The Cochrane Database of Systematic Reviews, 10.1002/14651858.CD002208 · DOI · Paper page
- Ghersi, 2005, Taxane containing regimens for metastatic breast cancer, The Cochrane Database of Systematic Reviews, 10.1002/14651858.CD003366.pub2 · DOI
- Gøtzsche, 2005, Somatostatin analogues for acute bleeding oesophageal varices, The Cochrane Database of Systematic Reviews, 10.1002/14651858.CD000193.pub2 · DOI
- Song, 2001, Methods for exploring heterogeneity in meta-analysis, Eval Health Prof, 24, 126, 10.1177/016327870102400203 · DOI · Paper page
- Hardy, 1998, Detecting and describing heterogeneity in meta-analysis, Stat Med, 17, 841, 10.1002/(SICI)1097-0258(19980430)17:8<841::AID-SIM781>3.0.CO;2-D · DOI · Paper page
- Schmid, 2004, Meta-regression detected associations between heterogeneous treatment effects and study-level, but not patient-level, factors, J Clin Epidemiol, 57, 683, 10.1016/j.jclinepi.2003.12.001 · DOI
- Lambert, 2002, A comparison of summary patient-level covariates in meta-regression with individual patient data meta-analysis, J Clin Epidemiol, 55, 86, 10.1016/S0895-4356(01)00414-0 · DOI · Paper page
- Berlin, 2002, Anti-lymphocyte antibody induction therapy study group. 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, 10.1002/sim.1023 · DOI · Paper page
- Petiti, 2001, Approaches to heterogeneity in meta-analysis, Stat Med, 20, 3625, 10.1002/sim.1091 · DOI · Paper page
- Simmonds, 2005, Meta-analysis of individual patient data from randomized trials: a review of methods used in practice, Clin Trials, 2, 209, 10.1191/1740774505cn087oa · DOI · Paper page
- Engels, 2000, Heterogeneity and statistical significance in meta-analysis: an empirical study of 125 meta-analyses, Stat. Med, 19, 1707, 10.1002/1097-0258(20000715)19:13<1707::AID-SIM491>3.0.CO;2-P · DOI
- Ioannidis, 2007, Uncertainty in heterogeneity estimates in meta-analyses, Br Med J, 335, 914, 10.1136/bmj.39343.408449.80 · DOI · Paper page
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Burnette, J. L., O'Boyle, E. H., VanEpps, E. M., Pollack, J. M., & Finkel, E. J. (2013) · Psychological Bulletin · doi:10.1037/a0029531 · Cited by 1,367
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Rücker, G., Schwarzer, G., Carpenter, J. R., & Schumacher, M. (2008) · BMC Medical Research Methodology · doi:10.1186/1471-2288-8-79 · Cited by 1,287
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Ioannidis, J. P. A. (2008) · Journal of Evaluation in Clinical Practice · doi:10.1111/j.1365-2753.2008.00986.x · Cited by 696
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Metadata
- Authors
- Patsopoulos, N. A., Evangelou, E., & Ioannidis, J. P.
- Venue
- International Journal of Epidemiology
- Publisher
- Oxford University Press (OUP)
- Published
- 2008-04-18
- Volume
- 37
- Issue
- 5
- Pages
- 1148-1157
- ISSN
- 0300-5771 (ISSN-L)
- 1464-3685
- OpenAlex
- W2112970335
- Cited by
- 1,138
- References
- 8
- FWCI
- 12.74
- Type
- journal article
- Language
- en
- Open access
- green
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