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arXiv · 1511.07601

Exploring the Distribution for the Estimator of Rosenthal's 'Fail-Safe' Number of Unpublished Studies in Meta-analysis

Konstantinos C. Fragkos·Michail Tsagris·Christos C. Frangos
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Abstract

The present paper discusses the statistical distribution for the estimator of Rosenthal's 'Fail-Safe' number NR, which is an estimator of unpublished studies in meta-analysis.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.

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Konstantinos C. Fragkos, Michail Tsagris, Christos C. Frangos. 2015-11-24. Exploring the Distribution for the Estimator of Rosenthal's 'Fail-Safe' Number of Unpublished Studies in Meta-analysis. https://arxiv.org/abs/1511.07601

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