Group analysis in functional neuroimaging: selecting subjects using similarity measures

Standard group analyses of fMRI data rely on spatial and temporal averaging of individuals. This averaging operation is only sensible when the mean is a good representation of the group. This is not the case if subjects are not homogeneous, and it is therefore a major concern in fMRI studies to assess this group homogeneity. We present a method that provides relevant distances or similarity measures between temporal series of brain functional images belonging to different subjects. The method allows a multivariate comparison between data sets of several subjects in the time or in the space domain. These analyses assess the global intersubject variability before averaging subjects and drawing conclusions across subjects, at the population level. We adapt the RV coefficient to measure meaningful spatial or temporal similarities and use multidimensional scaling to give a visual representation of each subject's position with respect to other subjects in the group. We also provide a measure for detecting subjects that may be outliers. Results show that the method is a powerful tool to detect subjects with specific temporal or spatial patterns, and that, despite the apparent loss of information, restricting the analysis to a homogeneous subgroup of subjects does not reduce the statistical sensitivity of standard group fMRI analyses.

[1]  Karl J. Friston,et al.  How Many Subjects Constitute a Study? , 1999, NeuroImage.

[2]  Yutaka Tanaka,et al.  Principal component analysis based on a subset of variables: variable selection and sensitivity analysis , 1997 .

[3]  J. Xiong,et al.  Intersubject Variability in Cortical Activations during a Complex Language Task , 2000, NeuroImage.

[4]  L. K. Hansen,et al.  Generalizable Patterns in Neuroimaging: How Many Principal Components? , 1999, NeuroImage.

[5]  J B Poline,et al.  Evidence for abnormal cortical functional connectivity during working memory in schizophrenia. , 2001, The American journal of psychiatry.

[6]  J L Lancaster,et al.  Functional volumes modeling: Scaling for group size in averaged images , 1999, Human brain mapping.

[7]  M I Posner,et al.  The neuroimaging of human brain function. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[8]  Thomas E. Nichols,et al.  Diagnosis and exploration of massively univariate neuroimaging models , 2003, NeuroImage.

[9]  Lars Kai Hansen,et al.  The Quantitative Evaluation of Functional Neuroimaging Experiments: The NPAIRS Data Analysis Framework , 2000, NeuroImage.

[10]  Suzanne Corkin,et al.  A method of adjusting for temporal and spatial correlations in analysis of mean fMRI signal intensity changes , 1996, NeuroImage.

[11]  Jean-Baptiste Poline,et al.  Multivariate analysis for fMRI data investigation and model checking , 2001, NeuroImage.

[12]  Jean-Baptiste Poline,et al.  Multivariate Model Specification for fMRI Data , 2002, NeuroImage.

[13]  M D'Esposito,et al.  Functional Neuroimaging of Cognition , 2000, Seminars in neurology.

[14]  Sandra E. Black,et al.  Neuroimaging and behavior: Probing brain behavior relationships in the 21st century , 2001, Current neurology and neuroscience reports.

[15]  S C Strother,et al.  Commentary and Opinion: I. Principal Component Analysis, Variance Partitioning, and “Functional Connectivity” , 1995, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[16]  R. Weisskoff,et al.  Effect of temporal autocorrelation due to physiological noise and stimulus paradigm on voxel‐level false‐positive rates in fMRI , 1998, Human brain mapping.

[17]  D. E Welchew,et al.  Multidimensional Scaling of Integrated Neurocognitive Function and Schizophrenia as a Disconnexion Disorder , 2002, NeuroImage.

[18]  N. Andreasen,et al.  Anatomic and Functional Variability: The Effects of Filter Size in Group fMRI Data Analysis , 2001, NeuroImage.

[19]  W. Torgerson Multidimensional scaling: I. Theory and method , 1952 .

[20]  J. V. Haxby,et al.  Spatial Pattern Analysis of Functional Brain Images Using Partial Least Squares , 1996, NeuroImage.

[21]  Alan C. Evans,et al.  A General Statistical Analysis for fMRI Data , 2000, NeuroImage.

[22]  H. Law Research methods for multimode data analysis , 1984 .

[23]  D. Guehl,et al.  RETRACTED: Influence of cognitive strategies on the pattern of cortical activation during mental subtraction. A functional imaging study in human subjects , 2000, Neuroscience Letters.

[24]  Karl J. Friston,et al.  Characterizing the Response of PET and fMRI Data Using Multivariate Linear Models , 1997, NeuroImage.

[25]  S. Strother,et al.  Reproducibility of BOLD‐based functional MRI obtained at 4 T , 1999, Human brain mapping.

[26]  Karl J. Friston,et al.  To Smooth or Not to Smooth? Bias and Efficiency in fMRI Time-Series Analysis , 2000, NeuroImage.

[27]  K. R. Clarke,et al.  Non‐parametric multivariate analyses of changes in community structure , 1993 .

[28]  M. D’Esposito,et al.  The Variability of Human, BOLD Hemodynamic Responses , 1998, NeuroImage.

[29]  I. Johnsrude,et al.  The problem of functional localization in the human brain , 2002, Nature Reviews Neuroscience.

[30]  P. Robert,et al.  A Unifying Tool for Linear Multivariate Statistical Methods: The RV‐Coefficient , 1976 .

[31]  Beatriz Luna,et al.  Combining Brains: A Survey of Methods for Statistical Pooling of Information , 2002, NeuroImage.

[32]  J. Pekar,et al.  A method for making group inferences from functional MRI data using independent component analysis , 2001, Human brain mapping.

[33]  Stephen M. Smith,et al.  On Bias in the Estimation of Autocorrelations for fMRI Voxel Time-Series Analysis , 2003, NeuroImage.

[34]  V. Haughton,et al.  Test-retest precision of functional magnetic resonance imaging processed with independent component analysis , 2002, Neuroradiology.

[35]  S. Dehaene,et al.  Topographical Layout of Hand, Eye, Calculation, and Language-Related Areas in the Human Parietal Lobe , 2002, Neuron.

[36]  Zakkula Govindarajulu Elements of sampling theory and methods , 1999 .

[37]  Ranjan Maitra,et al.  Test‐retest reliability estimation of functional MRI data , 2002, Magnetic resonance in medicine.

[38]  George A. F. Seber,et al.  Linear regression analysis , 1977 .

[39]  Ronald Christensen Plane Answers to Complex Questions , 1987 .

[40]  Thomas E. Nichols,et al.  Statistical limitations in functional neuroimaging. II. Signal detection and statistical inference. , 1999, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[41]  R. Woods,et al.  Principal Component Analysis and the Scaled Subprofile Model Compared to Intersubject Averaging and Statistical Parametric Mapping: I. “Functional Connectivity” of the Human Motor System Studied with [15O]Water PET , 1995, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[42]  T. Floyd,et al.  Functional MRI and Its Applications to the Clinical Neurosciences , 2001, The Neuroscientist : a review journal bringing neurobiology, neurology and psychiatry.

[43]  Karl J. Friston,et al.  Functional topography: multidimensional scaling and functional connectivity in the brain. , 1996, Cerebral cortex.

[44]  Stephen C. Strother,et al.  Penalized Discriminant Analysis of [15O]-water PET Brain Images with Prediction Error Selection of Smoothness and Regularization , 2001, IEEE Trans. Medical Imaging.

[45]  Yutaka Tanaka,et al.  Some comments on escoufier's RV- coefficient as a sensitivity measure in principal component analysis , 1990 .

[46]  M. D’Esposito,et al.  Empirical Analyses of BOLD fMRI Statistics , 1997, NeuroImage.

[47]  C. Genovese,et al.  Estimating test‐retest reliability in functional MR imaging I: Statistical methodology , 1997, Magnetic resonance in medicine.

[48]  R. Cabeza,et al.  Imaging Cognition II: An Empirical Review of 275 PET and fMRI Studies , 2000, Journal of Cognitive Neuroscience.

[49]  S. Strother,et al.  Scaled Subprofile Model: A Statistical Approach to the Analysis of Functional Patterns in Positron Emission Tomographic Data , 1987, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[50]  S C Williams,et al.  Generic brain activation mapping in functional magnetic resonance imaging: a nonparametric approach. , 1997, Magnetic resonance imaging.

[51]  Karl J. Friston,et al.  Variability in fMRI: An Examination of Intersession Differences , 2000, NeuroImage.

[52]  D. McHale,et al.  Analyse Conjointe de Tableaux Quantitatifs , 1990 .