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June 2015 Wavelet-domain regression and predictive inference in psychiatric neuroimaging
Philip T. Reiss, Lan Huo, Yihong Zhao, Clare Kelly, R. Todd Ogden
Ann. Appl. Stat. 9(2): 1076-1101 (June 2015). DOI: 10.1214/15-AOAS829


An increasingly important goal of psychiatry is the use of brain imaging data to develop predictive models. Here we present two contributions to statistical methodology for this purpose. First, we propose and compare a set of wavelet-domain procedures for fitting generalized linear models with scalar responses and image predictors: sparse variants of principal component regression and of partial least squares, and the elastic net. Second, we consider assessing the contribution of image predictors over and above available scalar predictors, in particular, via permutation tests and an extension of the idea of confounding to the case of functional or image predictors. Using the proposed methods, we assess whether maps of a spontaneous brain activity measure, derived from functional magnetic resonance imaging, can meaningfully predict presence or absence of attention deficit/hyperactivity disorder (ADHD). Our results shed light on the role of confounding in the surprising outcome of the recent ADHD-200 Global Competition, which challenged researchers to develop algorithms for automated image-based diagnosis of the disorder.


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Philip T. Reiss. Lan Huo. Yihong Zhao. Clare Kelly. R. Todd Ogden. "Wavelet-domain regression and predictive inference in psychiatric neuroimaging." Ann. Appl. Stat. 9 (2) 1076 - 1101, June 2015.


Received: 1 August 2013; Revised: 1 February 2015; Published: June 2015
First available in Project Euclid: 20 July 2015

zbMATH: 06499943
MathSciNet: MR3371348
Digital Object Identifier: 10.1214/15-AOAS829

Keywords: ADHD-200 , Elastic net , functional confounding , functional magnetic resonance imaging , functional regression , sparse partial least squares , sparse principal component regression

Rights: Copyright © 2015 Institute of Mathematical Statistics

Vol.9 • No. 2 • June 2015
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