Non-normality and transformations of random fields, with an application to voxel-based morphometry

NeuroImage

Volumn 35, Issue 1, 2007, Pages 121-130

  Viviani, Roberto ^a   Beschoner, Petra ^a   Ehrhard, Katja ^a   Schmitz, Bernd ^a   Thöne, Jan ^a  

^a UNIVERSITY OF ULM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADULT; ARTICLE; CASE STUDY; FEMALE; GRAY MATTER; HUMAN; HUMAN EXPERIMENT; MALE; MORPHOMETRICS; PERFORMANCE; PRIORITY JOURNAL; SIMULATION;

ADULT; ALGORITHMS; ANALYSIS OF VARIANCE; ARTIFACTS; BRAIN MAPPING; COMPUTER SIMULATION; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; LINEAR MODELS; MAGNETIC RESONANCE IMAGING; MODELS, STATISTICAL; MONTE CARLO METHOD; REFERENCE VALUES; REGRESSION ANALYSIS;

EID: 33846905027     PISSN: 10538119     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neuroimage.2006.11.037     Document Type: Article

References (25)

1. Ashburner J., and Friston K.J. Voxel-based morphometry-The methods. NeuroImage 11 (2000) 805-821
2. Atkinson A.C. Plots, Transformations, and Regression. An Introduction to Graphical Methods of Diagnostic Regression Analysis (1985), Oxford Univ. Press, Oxford
3. Beran R. Balanced simultaneous confidence sets. J. Am. Stat. Assoc. 83 (1988) 679-686
4. Box G.E.P. Non-normality and tests on variances. Biometrika 40 (1953) 318-335
5. Box G.E.P., and Cox D.R. An analysis of transformations. J. R. Stat. Soc., B 17 (1964) 1-26
6. Collett D. Modelling Binary Data (2003), Chapman and Hall, London
7. Colliot O., Bernasconi N., Khalili N., Antel S.B., Naessens V., and Bernasconi A. Individual voxel-based analysis of gray matter in focal cortical dysplasia. NeuroImage 29 (2005) 162-171
8. Cook R.D., and Weisberg S. Residuals and Influence in Regression (1980), Chapman and Hall, London
9. Frackowiak R.S.J., Friston K.J., Frith C.D., Dolan R.J., and Mazziotta J.C. Human Brain Function (1997), Academic Press, London
10. Friston K.J., Holmes A.P., Worsley K.J., Poline J.P., Frith C.D., and Frackowiak R.S.J. Statistical parametric maps in functional imaging: a general linear approach. Hum. Brain Mapp. 2 (1995) 189-210
11. Hayasaka S., Phan K.L., Liberzon I., Worsley K.J., and Nichols T.E. Nonstationary cluster-size inference with random field and permutation methods. NeuroImage 22 (2004) 676-687
12. Kassubek J., Hupperz H.J., Spreer J., and Schulze-Bonhage A. Detection and localization of focal cortical dysplasia by voxel-based 3-D MRI analysis. Epilepsia 43 (2002) 596-602
13. Miller R.G. Beyond ANOVA, Basics of Applied Statistics (1986), John Wiley and Sons, New York
14. Nichols T.E., and Hayasaka S. Controlling the familywise error rate in functional neuroimaging: a comparative review. Stat. Methods Med. Res. 12 (2003) 419-446
15. Pearson E.S. The distribution of frequency constants in small samples from non-normal symmetrical and skew populations. Biometrika 21 (1929) 259-286
16. Pearson E.S. The analysis of variance in cases of non-normal variation. Biometrika 23 (1931) 114-133
17. Pearson E.S., and Please N.W. Relation between the shape of population distribution and the robustness of four simple test statistics. Biometrika 62 (1975) 223-241
18. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes in C. 2nd ed. (1988), Cambridge Univ. Press, Cambridge
19. Salmond C.H., Ashburner J., Vargha-Khadem F., Connelly A., Gadian D.G., and Friston K.J. Distributional assumptions in voxel-based morphometry. NeuroImage 17 (2002) 1027-1030
20. Westfall P.H., and Young S.S. Resampling-based Multiple Testing. Examples and Methods for p-Value Adjustment (1993), Wiley, New York
21. Woermann F.G., Free S.L., Koepp M.J., Ashburner J., and Duncan J.S. Voxel-by-voxel comparison of automatically segmented cerebral grey matter-A rater-independent comparison of structural MRI in patients with epilepsy. NeuroImage 10 (1999) 373-384
22. Woermann F.G., Free S.L., Koepp M.J., Sisodiya S.M., and Duncan J.S. Abnormal cerebral structure in juvenile myoclonic epilepsy demonstrated with voxel-based analysis of MRI. Brain 122 (1999) 1202-1208
23. Worsley K.J. An improved theoretical P-value for SPMs based on discrete local maxima. NeuroImage 28 (2005) 1056-1062
24. Worsley K.J., Marrett S., Neelin P., and Evans A.C. A three-dimensional statistical analysis for CBF activations studies in human brain. J. Cereb. Blood Flow Metab. 12 (1992) 900-918
25. Worsley K.J., Marrett S., Neelin P., Vandal A.C., Friston K.J., and Evans A.C. A unified statistical approach for determining significant signals in images of cerebral activation. Hum. Brain Mapp. 4 (1996) 58-73