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A Multiblock Partial Least Squares Correlation Framework for Covariate Adjustment and Interpretation of Latent Associations in Multimodal Data
Warda T. Syeda1, Bjørn H. Ebdrup1,2,3, Cassandra M.J. Wannan1, Micah Cearns1, Rigas Soldatos1, Antonia Merritt1, Mahesh Jayaram 1, Andrew Zalesky 1, Jayachandra M. Raghava2,4, Birgitte Fagerlund 2, Egill Rostrup 2, Birte Glenthøj 2,3, Leigh A. Johnston5,6, Chad Bousman 1,7, Ian Everall8, Efstratios Skafidas 1,9, and Christos Pantelis1,9
1Melbourne Neuropsychiatry Centre, The University of Melbourne, Parkville, Australia, 2Center for Neuropsychiatric Schizophrenia Research and Center for Clinical Intervention and Neuropsychiatric Schizophrenia Research, Mental Health Centre Glostrup, Copenhagen University Hospital, Glostrup, Denmark, 3Faculty of Health and Medical Sciences, Department of Clinical Medicine, University of Copenhagen, Denmark, Denmark, 4Functional Imaging Unit, Department of Clinical Physiology, Nuclear Medicine and PET, Rigshospitalet, Glostrup, Denmark, 5Department of Biomedical Engineering, The University of Melbourne, Melbourne, Australia, 6Melbourne Brain Centre Imaging Unit, The University of Melbourne, Parkville, Australia, 7Departments of Medical Genetics, Psychiatry, and Physiology & Pharmacology, University of Calgary, Calgary, AB, Canada, 8Institute of Psychiatry, Psychology & Neuroscience, King's College London, London, United Kingdom, 9Electrical and Electronic Engineering Department, The University of Melbourne, Parkville, Australia

A multiblock PLS-C framework with covariate representation to perform multivariate statistical modelling is presented. 

Latent structure-cognition associations in treatment resistant schizophrenia provide insights into widespread patterns of structural and cognitive deficits. 

Figure 4: LV1 cognition-cortical volume saliences. A) Cortical volume saliences in TRS (red) and controls (green). Black lines: confidence intervals (CIs). Unreliable regions (CIs crossing zero) are grayed out. B) Cognitive saliences. y-axis: salience strength, x-axis: cognitive variables: PAL total errors (PAL-TE), stages completed (PAL-SC), IED interdimensional (IED-IS) and extradimensional shift (IED-ES), spatial-span length (SSP-SL), spatial working-memory strategy (SWM-S), total errors (SWM-TE). C) Reliable volume saliences projected onto a glass-brain.
Figure 2: Decomposition of multi-block cross-correlation matrix into additive components using MB-PLS-C framework (x-axis: cognitive measures, y-axis: regional cortical volumes). The first two components corresponding to the significant latent variables, LV1 and LV2, describe correlations in the latent space between structure and cognitive measures across patients and healthy controls. Four disjoint data blocks with multivariate measures of brain structure, cognition and covariates.