Overcoming the effects of false positives and threshold bias in graph theoretical analyses of neuroimaging data
Open accessAbstract
Graph theory (GT) is a powerful framework for quantifying topological features of neuroimaging-derived functional and structural networks. However, false positive (FP) connections arise frequently and influence the inferred topology of networks. Thresholding is often used to overcome this problem, but an appropriate threshold often relies on a priori assumptions, which will alter inferred network topologies. Four common network metrics (global efficiency, mean clustering coefficient, mean betweenness and smallworldness) were tested using a model tractography dataset. It was found that all four network metrics were significantly affected even by just one FP. Results also show that thresholding effectively dampens the impact of FPs, but at the expense of adding significant bias to network metrics. In a larger number (n=248) of tractography datasets, statistics were computed across random group permutations for a range of thresholds, revealing that statistics for network metrics varied significantly more than for non-network metrics (i.e., number of streamlines and number of edges). Varying degrees of network atrophy were introduced artificially to half the datasets, to test sensitivity to genuine group differences. For some network metrics, this atrophy was detected as significant (p<0.05, determined using permutation testing) only across a limited range of thresholds. We propose a multi-threshold permutation correction (MTPC) method, based on the cluster-enhanced permutation correction approach, to identify sustained significant effects across clusters of thresholds. This approach minimises requirements to determine a single threshold a priori. We demonstrate improved sensitivity of MTPC-corrected metrics to genuine group effects compared to an existing approach and demonstrate the use of MTPC on a previously published network analysis of tractography data derived from a clinical population. In conclusion, we show that there are large biases and instability induced by thresholding, making statistical comparisons of network metrics difficult. However, by testing for effects across multiple thresholds using MTPC, true group differences can be robustly identified.
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There is ongoing disagreement about whether filtering methods are beneficial or detrimental to the structural connectome.
“Research is still underway to determine the best method(s) for filtering, with some disagreement on the beneficial versus detrimental effect of these methods on the structural connectome (Buchanan et al., 2020; Civier et al., 2019; Drakesmith et al., 2015; Frigo et al., 2020; Schiavi et al., 2020a; Yeh et al., 2016a).”
From Quantitative mapping of the brain’s structural connectivity using diffusion MRI tractography: A review (2022) · cites this paper as Drakesmith et al., 2015
The Introduction’s “Thresholding” section says removing weak connections can suppress false positives but can also remove genuine connections and bias network metrics; it calls the alternative of leaving graphs unthresholded contentious. This supports a beneficial-versus-detrimental trade-off for network thresholding, but the paper does not establish disagreement about filtering methods for the structural connectome generally. Page numbers were not provided in our copy. (LLM, conf=0.82)
Experimental — accuracy not yet measuredFalse positive tract reconstructions may lead to biased characterization of connectome topology.
“This may lead to biased characterization of connectome topology, particularly in the presence of false positive tract reconstructions (Drakesmith et al. 2015; Zalesky et al. 2016).”
From Diffusion MRI-based cortical connectome reconstruction: dependency on tractography procedures and neuroanatomical characteristics (2018) · cites this paper as Drakesmith et al. 2015
False-positive connections can severely bias estimation of connectivity.
“and that these erroneous connections can severely bias the estimation of connectivity (Drakesmith et al., 2015; Maier-Hein et al., 2017; Zalesky et al., 2016b).”
From Quantitative mapping of the brain’s structural connectivity using diffusion MRI tractography: A review (2022) · cites this paper as Drakesmith et al., 2015
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Flagged first, then by citations
Research works printed but not linked: 1
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“thus implicitly that strong connections are reliable), but it was demonstrated that this indiscriminate filtering (thresholding) does not differentiate between true and spurious connections, and its effectiveness is still debated [85, 122, 375, 53].”
BackgroundMethodThe human connectome in Alzheimer disease — relationship to biomarkers and genetics
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“This approach was based loosely on the clustering method introduced by Drakesmith et al. (2015).”
MethodSaba, V., Premi, E., Cristillo, V., Gazzina, S., Palluzzi, F., Zanetti, O., Gasparotti, R., Padovani, A., Borroni, B., & Grassi, M. (2019) · Frontiers in Neuroscience · doi:10.3389/fnins.2019.00211 · Cited by 33 · see citing works
Hierarchical microstructure informed tractography
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- Authors
- Drakesmith, M., Caeyenberghs, K., Dutt, A., Lewis, G., David, A. S., & Jones, D. K.
- Affiliations
- Cardiff University (GB)
- Australian Catholic University (AU)
- King's College London (GB)
- University College London (GB)
- Corresponding author
- Drakesmith, M.
- Venue
- NeuroImage
- Publisher
- Elsevier BV
- Published
- 2015-09
- Volume
- 118
- Pages
- 313-333
- ISSN
- 1053-8119 (ISSN-L)
- PMC
- PMC4558463
- OpenAlex
- W2136211807
- Cited by
- 157
- References
- 131
- Citations by year
- 2026: 12 · 2025: 12 · 2024: 13 · 2023: 15 · 2022: 16 · 2021: 15 · 2020: 13 · 2019: 18 · 2018: 17 · 2017: 16 · 2016: 8 · 2015: 2
- FWCI
- 8.83
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- NeuroImage (publishedVersion, cc-by)
- Europe PMC (PubMed Central) (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Research Portal (King's College London) (publishedVersion, other-oa)
- ORCA Online Research @Cardiff (Cardiff University) (acceptedVersion)
- Research Bank (Australian Catholic University) (submittedVersion)
- UCL Discovery (University College London) (submittedVersion)
- Figshare (submittedVersion, cc-by)
- Funders
- Medical Research Council, UK (G0901885)
- Wellcome Trust (096646/Z/11/Z)
- NIHR Biomedical Research Centre
- Maudsley NHS Foundation Trust
- Institute of Psychiatry, King's College London
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Functional Brain Connectivity Studies
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced Neuroimaging Techniques and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Complex Network Analysis Techniques
- Keywords
- graph theory, threshold bias, tractography, network topology, global efficiency, clustering coefficient, betweenness centrality, small-worldness, group differences
- MeSH terms
- Adult, Brain, Humans, Magnetic Resonance Imaging, Male, Models, Neurological, Nerve Net, Neural Pathways, Statistics as Topic, Reproducibility of Results, Artifacts, Young Adult, Neuroimaging
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