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Evolution of Heterogeneity (I2) Estimates and Their 95% Confidence Intervals in Large Meta-Analyses

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  • Kristian Thorlund
  • Georgina Imberger
  • Bradley C Johnston
  • Michael Walsh
  • Tahany Awad
  • Lehana Thabane
  • Christian Gluud
  • P J Devereaux
  • Jørn Wetterslev

Abstract

Background: Assessment of heterogeneity is essential in systematic reviews and meta-analyses of clinical trials. The most commonly used heterogeneity measure, I2, provides an estimate of the proportion of variability in a meta-analysis that is explained by differences between the included trials rather than by sampling error. Recent studies have raised concerns about the reliability of I2 estimates, due to their dependence on the precision of included trials and time-dependent biases. Authors have also advocated use of 95% confidence intervals (CIs) to express the uncertainty associated with I2 estimates. However, no previous studies have explored how many trials and events are required to ensure stable and reliable I2 estimates, or how 95% CIs perform as evidence accumulates. Methodology/Principal Findings: To assess the stability and reliability of I2 estimates and their 95% CIs, in relation to the cumulative number of trials and events in meta-analysis, we looked at 16 large Cochrane meta-analyses - each including a sufficient number of trials and events to reliably estimate I2 - and monitored the I2 estimates and their 95% CIs for each year of publication. In 10 of the 16 meta-analyses, the I2 estimates fluctuated more than 40% over time. The median number of events and trials required before the cumulative I2 estimates stayed within +/−20% of the final I2 estimate was 467 and 11. No major fluctuations were observed after 500 events and 14 trials. The 95% confidence intervals provided good coverage over time. Conclusions/Significance: I2 estimates need to be interpreted with caution when the meta-analysis only includes a limited number of events or trials. Confidence intervals for I2 estimates provide good coverage as evidence accumulates, and are thus valuable for reflecting the uncertainty associated with estimating I2.

Suggested Citation

  • Kristian Thorlund & Georgina Imberger & Bradley C Johnston & Michael Walsh & Tahany Awad & Lehana Thabane & Christian Gluud & P J Devereaux & Jørn Wetterslev, 2012. "Evolution of Heterogeneity (I2) Estimates and Their 95% Confidence Intervals in Large Meta-Analyses," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-8, July.
  • Handle: RePEc:plo:pone00:0039471
    DOI: 10.1371/journal.pone.0039471
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    1. Xun Li & Lin Shen & Hongzhuan Tan, 2014. "Polymorphisms and Plasma Level of Transforming Growth Factor-Beta 1 and Risk for Preeclampsia: A Systematic Review," PLOS ONE, Public Library of Science, vol. 9(5), pages 1-8, May.
    2. Wenzhi Wang & Yumin Hu & Peiou Lu & Yingci Li & Yunfu Chen & Mohan Tian & Lijuan Yu, 2014. "Evaluation of the Diagnostic Performance of Magnetic Resonance Spectroscopy in Brain Tumors: A Systematic Review and Meta-Analysis," PLOS ONE, Public Library of Science, vol. 9(11), pages 1-11, November.
    3. Antonia E Dalziel & Steven Delean & Sarah Heinrich & Phillip Cassey, 2016. "Persistence of Low Pathogenic Influenza A Virus in Water: A Systematic Review and Quantitative Meta-Analysis," PLOS ONE, Public Library of Science, vol. 11(10), pages 1-24, October.
    4. Edward R. Maguire & Cody W. Telep & Thomas Abt & Ericka Adams, 2024. "PROTOCOL: Street outreach conflict mediation programs for reducing violence," Campbell Systematic Reviews, John Wiley & Sons, vol. 20(2), June.
    5. Nahia Idoiaga Mondragon & Idoia Legorburu Fernandez & Naiara Ozamiz-Etxebarria & Beatriz Villagrasa & Javier Santabárbara, 2023. "PTSD (Posttraumatic Stress Disorder) in Teachers: A Mini Meta-Analysis during COVID-19," IJERPH, MDPI, vol. 20(3), pages 1-11, January.
    6. Anaïs Besson & Alice Tarpin & Valentin Flaudias & Georges Brousse & Catherine Laporte & Amanda Benson & Valentin Navel & Jean-Baptiste Bouillon-Minois & Frédéric Dutheil, 2021. "Smoking Prevalence among Physicians: A Systematic Review and Meta-Analysis," IJERPH, MDPI, vol. 18(24), pages 1-58, December.
    7. Camilo Germán Alberto Pérez Chaparro & Philipp Zech & Felipe Schuch & Bernd Wolfarth & Michael Rapp & Andreas Heiβel, 2018. "Effects of aerobic and resistance exercise alone or combined on strength and hormone outcomes for people living with HIV. A meta-analysis," PLOS ONE, Public Library of Science, vol. 13(9), pages 1-21, September.
    8. Augusteijn, Hilde & van Aert, Robbie Cornelis Maria & van Assen, Marcel A. L. M., 2017. "The Effect of Publication Bias on the Assessment of Heterogeneity," OSF Preprints gv25c, Center for Open Science.

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