Abstract

In disease-association studies using neuroimaging data, evaluating the biological or clinical significance of individual associations requires not only detection of disease-associated areas of the brain but also estimation of the magnitudes of the associations or effect sizes for individual brain areas. In this paper, we propose a model-based framework for voxel-based inferences under spatial dependency in neuroimaging data. Specifically, we employ hierarchical mixture models with a hidden Markov random field structure to incorporate the spatial dependency between voxels. A nonparametric specification is proposed for the effect size distribution to flexibly estimate the underlying effect size distribution. Simulation experiments demonstrate that compared with a naive estimation method, the proposed methods can substantially reduce the selection bias in the effect size estimates of the selected voxels with the greatest observed associations. An application to neuroimaging data from an Alzheimer's disease study is provided.

Highlights

  • In disease-association studies using neuroimaging data, such as those related to brain magnetic resonance imaging (MRI), screening of disease-associated regions in the brain is a fundamental statistical task to understand the underlying mechanisms of disease and to develop disease diagnostics

  • Shu et al [4] proposed to use hidden Markov random field modelling and developed a multiple testing procedure based on the local index of significance (LIS) proposed by Sun and Cai [5] in multiple testing under dependency

  • We considered a simple situation where disease and normal control subjects were compared with no additional covariates

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Summary

Introduction

In disease-association studies using neuroimaging data, such as those related to brain magnetic resonance imaging (MRI), screening of disease-associated regions in the brain is a fundamental statistical task to understand the underlying mechanisms of disease and to develop disease diagnostics. In a cluster-level inference, groups of contiguous voxels whose association statistic values are above a certain threshold are defined and associated with disease status [1, 2] Another approach is to test every voxel individually, which takes into account the serious multiplicity problem of testing enormous numbers of voxels simultaneously. We use empirical Bayes estimation and hierarchical modelling of summary statistics from the whole set of features to derive shrinkage estimation for individual features [9, 10] and adapt this method to the analysis of disease-association studies using neuroimaging data with spatial dependence.

Materials and Methods
Hierarchical Mixture Models in a Hidden Markov
Results
Conclusions
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