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Publication Bias in Meta-Analysis: Confidence Intervals for Rosenthal's Fail-Safe Number

Fragkos, KC; Tsagris, M; Frangos, CC; (2014) Publication Bias in Meta-Analysis: Confidence Intervals for Rosenthal's Fail-Safe Number. International Scholarly Research Notices , 2014 , Article 825383. 10.1155/2014/825383. Green open access

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Abstract

The purpose of the present paper is to assess the efficacy of confidence intervals for Rosenthal's fail-safe number. Although Rosenthal's estimator is highly used by researchers, its statistical properties are largely unexplored. First of all, we developed statistical theory which allowed us to produce confidence intervals for Rosenthal's fail-safe number. This was produced by discerning whether the number of studies analysed in a meta-analysis is fixed or random. Each case produces different variance estimators. For a given number of studies and a given distribution, we provided five variance estimators. Confidence intervals are examined with a normal approximation and a nonparametric bootstrap. The accuracy of the different confidence interval estimates was then tested by methods of simulation under different distributional assumptions. The half normal distribution variance estimator has the best probability coverage. Finally, we provide a table of lower confidence intervals for Rosenthal's estimator.

Type: Article
Title: Publication Bias in Meta-Analysis: Confidence Intervals for Rosenthal's Fail-Safe Number
Location: United States
Open access status: An open access version is available from UCL Discovery
DOI: 10.1155/2014/825383
Publisher version: https://doi.org/10.1155/2014/825383
Language: English
Additional information: Copyright © 2014 Konstantinos C. Fragkos et al.This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences > Div of Medicine
URI: https://discovery.ucl.ac.uk/id/eprint/10129716
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