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Multiple Testing Correction in Medical Image Analysis

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Abstract

We present a novel method for correcting the significance level of hypothesis testing that requires multiple comparisons. It is based on the spectral graph theory, in which the variables are seen as the vertices of a complete undirected graph and the correlation matrix as the adjacency matrix that weights its edges. The method increases the statistical power of the analysis by refuting the assumption of independence among variables, while keeping the probability of false positives low. By computing the eigenvalues of the correlation matrix, it is possible to obtain valuable information about the dependence levels among the variables of the problem, so that the effective number of independent variables can be estimated. The method is compared to other available models and its effectiveness illustrated in case studies involving high-dimensional sets of variables.

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Authors and Affiliations

  1. Pontifical Catholic University of Minas Gerais, Av. Dom José Gaspar, 500, prédio 3, sala 218, Belo Horizonte, MG, 30535-610, Brazil

    Alexei Manso Corrêa Machado

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  1. Alexei Manso Corrêa Machado
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Correspondence to Alexei Manso Corrêa Machado.

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Machado, A.M.C. Multiple Testing Correction in Medical Image Analysis. J Math Imaging Vis 29, 107–117 (2007). https://doi.org/10.1007/s10851-007-0034-5

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  • DOI: https://doi.org/10.1007/s10851-007-0034-5

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