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"The 3D Moore-Rayleigh Test for the Quantitative Groupwise Comparison of MR Brain Images"

Alize E.H. Scheenstra, M. Muskulus, Marius Staring, A.M.J.V. van den Maagdenberg, S. Verduyn Lunel, Johan H.C. Reiber, L. van der Weerd and Jouke Dijkstra

Abstract

Non-rigid registration of MR images to a common reference image results in deformation fields, from which anatomical differences can be statistically assessed, within and between populations. Without further assumptions, nonparametric tests are required and currently the analysis of deformation fields is performed by permutation tests. For deformation fields, often the vector magnitude is chosen as test statistic, resulting in a loss of information. In this paper, we consider the three dimensional Moore-Rayleigh test as an alternative for permutation tests. This nonparametric test offers two novel features: first, it incorporates both the directions and magnitude of the deformation vectors. Second, as its distribution function is available in closed form, this test statistic can be used in a clinical setting. Using synthetic data that represents variations as commonly encountered in clinical data, we show that the Moore-Rayleigh test outperforms the classical permutation test.

 

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Copyright © 2009 by the authors. Published version © 2009 by Springer Lecture Notes in Computer Science. Personal use of this material is permitted. However, permission to reprint or republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works, must be obtained from the copyright holder.

 

BibTeX entry

@inproceedings{Scheenstra:2009,
author = "{Alize E.H. Scheenstra and M. Muskulus and Marius Staring and A.M.J.V. van den Maagdenberg and S. Verduyn Lunel and Johan H.C. Reiber and L. van der Weerd and Jouke Dijkstra}",
title = "{The 3D Moore-Rayleigh Test for the Quantitative Groupwise Comparison of MR Brain Images}",
booktitle = "{Information Processing in Medical Imaging}",
editor = "{J. L. Prince and D.L. Pham and K.J. Myers}",
address = "{Williamsburg, Virginia, USA}",
series = "{Lecture Notes in Computer Science}",
volume = "{5636}",
pages = "{564 - 575}",
month = "{July}",
year = "{2009}",
}

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