Fragkos, KC;
Tsagris, M;
Frangos, CC;
(2015)
Exploring the distribution for the estimator of Rosenthal's "fail-safe' number of unpublished studies in meta-analysis.
Communications in Statistics - Theory and Methods
, 46
(11)
pp. 5672-5684.
10.1080/03610926.2015.1109664.
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Abstract
The present article discusses the statistical distribution for the estimator of Rosenthal's ‘file-drawer’ number NR, which is an estimator of unpublished studies in meta-analysis. We calculate the probability distribution function of NR. This is achieved based on the central limit theorem and the proposition that certain components of the estimator NR follow a half-normal distribution, derived from the standard normal distribution. Our proposed distributions are supported by simulations and investigation of convergence.
| Type: | Article |
|---|---|
| Title: | Exploring the distribution for the estimator of Rosenthal's "fail-safe' number of unpublished studies in meta-analysis |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1080/03610926.2015.1109664 |
| Publisher version: | https://doi.org/10.1080/03610926.2015.1109664 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | half normal distribution; publication bias; meta-analysis; Rosenthal’s fail-safe number; probability distribution function; convergence |
| 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/10129719 |
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