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Unreported standard errors in meta-analysis

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  • Longford Nicholas T.

    (School of Public Health, Imperial College London, London, ; United Kingdom)

Abstract

A study that would otherwise be eligible is commonly excluded from a meta-analysis when the standard error of its treatment-effect estimator, or the estimate of the variance of the outcomes, is not reported and cannot be recovered from the available information. This is wasteful when the estimate of the treatment effect is reported. We assess the loss of information caused by this practice and explore methods of imputation for the missing variance. The methods are illustrated on two sets of examples, one constructed specifically for illustration and another based on a published systematic review.

Suggested Citation

  • Longford Nicholas T., 2021. "Unreported standard errors in meta-analysis," Statistics in Transition New Series, Statistics Poland, vol. 22(4), pages 1-17, December.
    • Handle: RePEc:vrs:stintr:v:22:y:2021:i:4:p:1-17:n:4
    DOI: 10.21307/stattrans-2021-035
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    References listed on IDEAS

    as
    1. Nicholas T. Longford, 2015. "On the inefficiency of the restricted maximum likelihood," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 69(2), pages 171-196, May.
    2. Kenneth Rice & Julian P. T. Higgins & Thomas Lumley, 2018. "A re‐evaluation of fixed effect(s) meta‐analysis," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 181(1), pages 205-227, January.
    3. Sue Duval & Richard Tweedie, 2000. "Trim and Fill: A Simple Funnel-Plot–Based Method of Testing and Adjusting for Publication Bias in Meta-Analysis," Biometrics, The International Biometric Society, vol. 56(2), pages 455-463, June.
    4. Lifeng Lin & Haitao Chu, 2018. "Quantifying publication bias in meta‐analysis," Biometrics, The International Biometric Society, vol. 74(3), pages 785-794, September.
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