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Coordinate based random effect size meta-analysis of neuroimaging studies

Tench, Christopher R.; Tanasescu, Radu; Constantinescu, Cris S.; Auer, Dorothee P.; Cottam, William J.


Radu Tanasescu

Cris S. Constantinescu

Dorothee P. Auer

William J. Cottam


Low power in neuroimaging studies can make them difficult to interpret, and Coordinate based meta-analysis (CBMA) may go some way to mitigating this issue. CBMA has been used in many analyses to detect where published functional MRI or voxel-based morphometry studies testing similar hypotheses report significant summary results (coordinates) consistently. Only the reported coordinates and possibly t statistics are analysed, and statistical significance of clusters is determined by coordinate density.
Here a method of performing coordinate based random effect size meta-analysis and meta-regression is introduced. The algorithm (ClusterZ) analyses both coordinates and reported t statistic or Z score, standardised by the number of subjects. Statistical significance is determined not by coordinate density, but by a random effects meta-analyses of reported effects performed cluster-wise using standard statistical methods and taking account of censoring inherent in the published summary results. Type 1 error control is achieved using the false cluster discovery rate (FCDR), which is based on the false discovery rate. This controls both the family wise error rate under the null hypothesis that coordinates are randomly drawn from a standard stereotaxic space, and the proportion of significant clusters that are expected under the null. Such control is necessary to avoid propagating and even amplifying the very issues motivating the meta-analysis in the first place. ClusterZ is demonstrated on both numerically simulated data and on real data from reports of grey matter loss in multiple sclerosis (MS) and syndromes suggestive of MS, and of painful stimulus in healthy controls. The software implementation is available to download and use freely.


Tench, C. R., Tanasescu, R., Constantinescu, C. S., Auer, D. P., & Cottam, W. J. (in press). Coordinate based random effect size meta-analysis of neuroimaging studies. NeuroImage, 153,

Journal Article Type Article
Acceptance Date Apr 1, 2017
Online Publication Date Apr 5, 2017
Deposit Date Apr 5, 2017
Publicly Available Date Apr 5, 2017
Journal NeuroImage
Print ISSN 1053-8119
Electronic ISSN 1095-9572
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 153
Keywords Meta-analysis, Neuroimaging, Voxel based morphometry, Functional MRI
Public URL
Publisher URL


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