Unified univariate and multivariate random field theory

被引:279
|
作者
Worsley, KJ [1 ]
Taylor, JE
Tomaiuolo, F
Lerch, J
机构
[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
[2] McGill Univ, Montreal Neurol Inst, Montreal, PQ H3A 2K6, Canada
[3] Stanford Univ, Dept Stat, Rome, Italy
[4] IRCCS, Fdn Santa Lucia, Rome, Italy
关键词
SPMs; deformation-based morphometry; random field theory;
D O I
10.1016/j.neuroimage.2004.07.026
中图分类号
Q189 [神经科学];
学科分类号
071006 ;
摘要
We report new random field theory P values for peaks of canonical correlation SPMs for detecting multiple contrasts in a linear model for multivariate image data. This completes results for all types of univariate and multivariate image data analysis. All other known univariate and multivariate random field theory results are now special cases, so these new results present a true unification of all currently known results. As an illustration, we use these results in a deformation based morphometry (DBM) analysis to look for regions of the brain where vector deformations of nonmissile trauma patients are related to several verbal memory scores, to detect regions of changes in anatomical effective connectivity between the trauma patients and a group of age- and sex-matched controls, and to look for anatomical connectivity in cortical thickness. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:S189 / S195
页数:7
相关论文
共 50 条
  • [1] UNIVARIATE AND MULTIVARIATE RANDOM FIELD MODELS FOR IMAGES
    KASHYAP, RL
    [J]. COMPUTER GRAPHICS AND IMAGE PROCESSING, 1980, 12 (03): : 257 - 270
  • [2] A unified approach to validating univariate and multivariate conditional distribution models in time series
    Chen, Bin
    Hong, Yongmiao
    [J]. JOURNAL OF ECONOMETRICS, 2014, 178 : 22 - 44
  • [3] Understanding cow evaluations in univariate and multivariate animal and random regression models
    Mrode, R.
    Coffey, M.
    [J]. JOURNAL OF DAIRY SCIENCE, 2008, 91 (02) : 794 - 801
  • [4] Estimation of the asymptotic variance of univariate and multivariate random fields and statistical inference
    Prause, Annabel
    Steland, Ansgar
    [J]. ELECTRONIC JOURNAL OF STATISTICS, 2018, 12 (01): : 890 - 940
  • [5] UNIFIED FIELD THEORY
    WYMAN, M
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1950, 2 (04): : 427 - 439
  • [6] UNIFIED FIELD THEORY
    MIKHAIL, FI
    [J]. NUOVO CIMENTO, 1964, 32 (04): : 886 - +
  • [8] Multivariate versus Univariate Sensor Selection for Spatial Field Estimation
    Linh Nguyen
    Thiyagarajan, Karthick
    Ulapane, Nalika
    Kodagoda, Sarath
    [J]. PROCEEDINGS OF THE 2021 IEEE 16TH CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS (ICIEA 2021), 2021, : 1187 - 1192
  • [9] Markov random field priors for univariate density estimation
    Wolpert, RL
    Lavine, M
    [J]. BAYESIAN ROBUSTNESS, 1996, 29 : 253 - 270
  • [10] IS THERE A NEED FOR A UNIFIED THEORY OF RANDOM EXPERIMENTS
    DALENIUS, T
    MATERN, B
    [J]. METRIKA, 1964, 8 (03) : 235 - 247