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Median bias reduction in random-effects meta-analysis and meta-regression
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Kyriakou, Sophia, Kosmidis, Ioannis and Sartori, Nicola (2019) Median bias reduction in random-effects meta-analysis and meta-regression. Statistical Methods in Medical Research , 28 (6). pp. 1622-1636. doi:10.1177/0962280218771717 ISSN 1477-0334.
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Official URL: https://doi.org/10.1177/0962280218771717
Abstract
The reduction of the mean or median bias of the maximum likelihood estimator in regular parametric models can be achieved through the additive adjustment of the score equations. In this paper, we derive the adjusted score equations for median bias reduction in random-effects meta-analysis and meta-regression models and derive efficient estimation algorithms. The median bias-reducing adjusted score functions are found to be the derivatives of a penalised likelihood. The penalised likelihood is used to form a penalised likelihood ratio statistic which has known limiting distribution and can be used for carrying out hypothesis tests or for constructing confidence intervals for either the fixed-effect parameters or the variance component. Simulation studies and real data applications are used to assess the performance of estimation and inference based on the median bias-reducing penalised likelihood and compare it to recently proposed alternatives. The results provide evidence on the effectiveness of median bias reduction in improving estimation and likelihood-based inference.
Item Type: | Journal Article | ||||||||||||||||||
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Subjects: | H Social Sciences > HA Statistics Q Science > QA Mathematics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||||||||||||||||
Library of Congress Subject Headings (LCSH): | Distribution (Probability theory), Regression analysis | ||||||||||||||||||
Journal or Publication Title: | Statistical Methods in Medical Research | ||||||||||||||||||
Publisher: | Sage Publications Ltd. | ||||||||||||||||||
ISSN: | 1477-0334 | ||||||||||||||||||
Official Date: | 1 June 2019 | ||||||||||||||||||
Dates: |
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Volume: | 28 | ||||||||||||||||||
Number: | 6 | ||||||||||||||||||
Page Range: | pp. 1622-1636 | ||||||||||||||||||
DOI: | 10.1177/0962280218771717 | ||||||||||||||||||
Status: | Peer Reviewed | ||||||||||||||||||
Publication Status: | Published | ||||||||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||||||||
Date of first compliant deposit: | 21 May 2018 | ||||||||||||||||||
Date of first compliant Open Access: | 14 June 2018 | ||||||||||||||||||
RIOXX Funder/Project Grant: |
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