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Exploring the distribution for the estimator of Rosenthal’s “fail-safe’ number of unpublished studies in meta-analysis



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Exploring the distribution for the estimator of Rosenthal’s “fail-safe’ number of unpublished studies in meta-analysis.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the statistical distribution for the estimator of Rosenthal’s ‘file-drawer’ number NR, which is an estimator of unpublished studies in meta-analysis.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    Title: Exploring the distribution for the estimator of Rosenthal’s “fail-safe’ number of unpublished studies in meta-analysis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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