Exploring the distribution for the estimator of Rosenthal's ‘fail-safe’ number of unpublished studies in meta-analysis

Konstantinos C. Fragkos, Michail Tsagris and Christos C. Frangos

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 11, 5672-5684

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the statistical distribution for the estimator of Rosenthal's ‘file-drawer’ number NR, which is an estimator of unpublished studies in meta-analysis.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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:46:y:2017:i:11:p:5672-5684

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DOI: 10.1080/03610926.2015.1109664

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