2014
DOI: 10.1155/2014/825383
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Publication Bias in Meta-Analysis: Confidence Intervals for Rosenthal’s Fail-Safe Number

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 estimato… Show more

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Cited by 100 publications
(71 citation statements)
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“…no effect of non-native prey on native predators) before the cumulative effect would become no longer statistically significant. If the failsafe number is > 5n + 10 (where n is the original number of studies), then it suggests that there is a minimal chance of publication bias (Rosenthal 1979;Fragkos et al 2014).…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…no effect of non-native prey on native predators) before the cumulative effect would become no longer statistically significant. If the failsafe number is > 5n + 10 (where n is the original number of studies), then it suggests that there is a minimal chance of publication bias (Rosenthal 1979;Fragkos et al 2014).…”
Section: Discussionmentioning
confidence: 99%
“…If the failsafe number is > 5 n + 10 (where n is the original number of studies), then it suggests that there is a minimal chance of publication bias (Rosenthal ; Fragkos et al . ).…”
Section: Methodsmentioning
confidence: 97%
“…Standard formulae for computing SD were used when values were not directly available 11. Publication bias was assessed using funnel plots and Rosenthal's fail-safe number (Rosenthal's N),12 online supplementary appendix 2.…”
Section: Methodsmentioning
confidence: 99%
“…Heterogeneity was further investigated with subgroup analysis and meta‐regression. Publication bias was assessed using funnel plots, Egger's test, Begg's test, Rosenthal's number, and the trim‐and‐fill method (Begg & Mazumdar, ; Duval & Tweedie, ; Egger, Smith, Schneider, & Minder, ; Fragkos, Tsagris, & Frangos, ; Sterne et al, ). In the present study, the funnel plots depict the Hakstian–Whalen T or Fisher's Z against the study's sample size, since the standard error of both these effect sizes is dependent on the effect size or the sample size (Hunter et al, ; Sterne & Egger, ).…”
Section: The Reviewmentioning
confidence: 99%