Model selection in electromagnetic source analysis with an application to VEFs

IEEE Transactions on Biomedical Engineering

Volumn 49, Issue 10, 2002, Pages 1121-1129

  Waldorp, Lourens J ^a   Huizenga, Hilde M ^a   Grasman, Raoul P P P ^a   Böcker, Koen B E ^b   De Munck, Jan C ^c   Molenaar, Peter C M ^a  

^a UNIVERSITY OF AMSTERDAM   (Netherlands)

^b UTRECHT UNIVERSITY   (Netherlands)

^c VU UNIVERSITY MEDICAL CENTER   (Netherlands)

Author keywords

EEG and MEG source analysis; Goodness of fit; Model selection; Source localization; Visual evoked fields

Indexed keywords

ELECTROENCEPHALOGRAPHY; ELECTROMAGNETISM;

BAYES INFORMATION CRITERION;

BIOMEDICAL ENGINEERING;

AMPLITUDE MODULATION; ANALYTIC METHOD; ARTICLE; BAYES THEOREM; CHI SQUARE DISTRIBUTION; DECOMPOSITION; ELECTROENCEPHALOGRAPHY; ELECTROMAGNETIC RADIATION; EVOKED VISUAL RESPONSE; MAGNETOENCEPHALOGRAPHY; MODEL; SIGNAL NOISE RATIO; STIMULUS RESPONSE;

ALGORITHMS; BRAIN MAPPING; COMPUTER SIMULATION; ELECTROENCEPHALOGRAPHY; EVOKED POTENTIALS, VISUAL; HUMANS; MAGNETOENCEPHALOGRAPHY; MODELS, NEUROLOGICAL; MODELS, STATISTICAL; SENSITIVITY AND SPECIFICITY; STOCHASTIC PROCESSES;

EID: 0036785213     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/TBME.2002.803543     Document Type: Article

References (41)

1. M. Hämäläinen, R. Hari, R. Ilmoniemi, J. Knuutila, and O. V. Lounasmaa, "Magnetoencephalography-theory, instrumentation and applications to noninvasive studies of the working human brain," Rev. Mod. Phy., vol. 65, pp. 413-497, 1993.
2. S. Supek and C. J. Aine, "Simulation studies of multiple dipole neuromagnetic source localization: Model order and limits of source resolution," IEEE Trans. Biomed. Eng., vol. 40, pp. 529-540, 1993.
3. M. Wax and T. Kailath, "Detection of signals by information theoretic criteria," IEEE Trans. Signal Processing, vol. SP-33, pp. 387-392, 1985.
4. L. C. Zhao, P. R. Krishnaiah, and Z. D. Bai, "On detection of the number of signals when the noise covariance matrix is arbitrary," J. Multivariate Anal., vol. 20, pp. 26-49, 1986.
5. J. C. de Munck, "The estimation of time varying dipoles on the basis of evoked potentials," Electroencephalogr. Clin. Neurophysiol., vol. 77, pp. 156-160, 1990.
6. K. M. Wong, Q.-T. Zhang, J. P. Reilly, and P. C. Yip, "On information theoretic criteria for determining the number of signals in high resolution array processing," IEEE Trans. Signal Processing, vol. 18, pp. 1959-1971, Nov. 1990.
7. Q. T. Zhang and K. M. Wong, "Information theoretic criteria for the determination of the number of signals in spatially correlated noise," IEEE Trans. Signal Processing, vol. 41, pp. 1652-1663, Apr. 1993.
8. P. Stoica and M. Cedervall, "Detection tests for array processing in unknown correlated noise fields," IEEE Trans. Signal Processing, vol. 45, pp. 2351-2362, Sept. 1997.
9. T. R. Knösche, E. M. Berends, H. R. A. Jagers, and M. J. Peters, "Determining the number of independent sources of the EEG: A simulation study on information criteria," Brain Topogr., vol. 11, pp. 111-124, 1998.
10. J. C. Mosher and R. M. Leahy, "Recursive music: A framework for EEG and MEG source localization," IEEE Trans. Biomed. Eng., vol. 45, pp. 1342-1354, Nov. 1998.
11. M. Scherg, "Fundementals of dipole source potential analysis," in Auditory Evoked Magnetic Fields and Electric Potentials, F. Grandori, M. Hoke, and G. L. Romani, Eds. Basel, Switzerland: Karger, 1990, pp. 40-69.
12. H. M. Huizenga and P. C. M. Molenaar, "Estimating and testing the sources of evoked potentials in the brain," Multivariate Behavioral Res., vol. 29, pp. 237-267, 1994.
13. G. A. F. Seber and C. J. Wild, Nonlinear regression. Toronto, ON, Canada: Wiley, 1989.
14. H. M. Huizenga and P. C. M. Molenaar, "Equivalent source estimation of scalp potential fields contaminated by heteroscedastic and correlated noise," Brain topogr., vol. 8, pp. 13-33, 1995.
15. J. R. Schott, Matrix Analysis for Statistics. New York: Wiley, 1997.
16. B. N. Cuffin, "A comparison of moving dipole inverse solutions using EEGs and MEGs," IEEE Trans. Biomed. Eng., vol. BME-32, pp. 905-910, 1985.
17. M. Scherg, "Functional imaging and localization of electromagnteic brain activity," Brain Topogr., vol. 5, pp. 103-111, 1992.
18. 2," Amer. Statistician, vol. 39, pp. 279-285, 1985.
19. 2," Amer. Statistician, vol. 48, pp. 113-117, 1994.
20. 2: Its use in weighted least-squares regression analysis," Amer. Statistician, vol. 42, pp. 236-238, 1988.
21. J. W. Neill, "Testing for lack of fit in nonlinear regression," Ann. Statist., vol. 16, pp. 733-740, 1988.
22. M. Bilodeau and D. Brenner, Theory of Multivariate Statistics. New York: Springer-Verlag, 1999.
23. T. W. Anderson, An Introduction to Multivariate Statistical Analysis. New York: Wiley, 1958.
24. L. J. Waldorp, "Statistical Model Selection Procedures," Dept. Psychology, Univ. Amsterdam, Amsterdam, The Netherlands, 2002.
25. R. F. Engle, "Wald, likelihood ratio and Lagrange multiplier tests in econometircs," in Handbook of Econometrics, Z. Gilliches and M. D. Intriligator, Eds. Amsterdam, The Netherlands: Elsevier Science, 1984, pp. 775-826.
26. T. S. Ferguson, A Course in Large Sample Theory. Bury st Edmunds, U.K.: Chapman and Hall, 1996.
27. T. Ryan, Modern Regression Methods. New York: Wiley, 1997.
28. H. Akaike, "Information and an extension of the maximum likelihood principle," in Proc. 2nd Int. Symp. Information Theory. Supplement to Problems of Control and Information Theory, B. N. Petrov and F. Csáki, Eds., 1973, pp. 267-281.
29. H. Bozdogan, "Model selection and akaike's information criterion (AIC): The general theory and its analytical extensions," Psychometrika, vol. 52, pp. 345-370, 1987.
30. M. Aerts, G. Claeskens, and J. D. Hart, "Testing the fit of a parametric function," J. Amer. Statist. Assoc., vol. 94, pp. 869-879, 1999.
31. G. Schwartz, "Estimating the dimension of a model," Ann. Statist., vol. 6, pp. 461-464, 1978.
32. G. C. Chow, "A comparison of information and posterior probability criteria for model selection," J. Econometrics, vol. 16, pp. 21-33, 1981.
33. H. M. Huizenga and P. C. M. Molenaar, "Ordinary least squares dipole localization is influenced by the reference," Electroencephalogr. Clin. Neuropsych., vol. 99, pp. 562-567, 1996.
34. H. M. Huizenga, D. J. Heslenfeld, and P. C. M. Molenaar, "Optimal measurement conditions for spatiotemporal EEG/MEG source analysis," Psychometrika.
35. J. C. de Munck, H. M. Huizenga, L. J. Waldorp, and R. M. Heethaar, "Estimating stationary dipoles from MEG/EEG data contaminated with spatially and temporally correlated background noise," IEEE Trans. Signal Processing, vol. 50, pp. 1565-1572, July 2002.
36. J. Shao, "An asymptotic theory for linear model selection," Statistica Sinica, vol. 7, pp. 221-264, 1997.
37. P. Zhang, "On the distributional properties of model selection criteria," J. Amer. Statist. Assoc., vol. 87, pp. 732-737, 1992.
38. J. L. Kenemans, J. M. P. Baas, G. R. Mangun, M. Lijffijt, and M. N. Verbaten, "On the processing of spatial frequencies as revealed by evoked-potential source modeling," Clin. Neurophysiol., vol. 111, pp. 1113-1123, 2000.
39. B. Lütkenhöner, "Dipole separability in a neuromagnetic source analysis," IEEE Trans. Biomed. Eng., vol. 45, pp. 572-581, May 1998.
40. L. J. Waldorp, H. M. Huizenga, C. V. Dolan, and P. C. M. Molenaar, "Estimated generalized least squares electromagnetic source analysis based on a parametric noise covariance model," IEEE Trans. Biomed. Eng., vol. 48, pp. 737-741, June 2001.
41. H. M. Huizenga, J. C. de Munck, L. J. Waldorp, and R. P. P. P. Grasman, "Spatiotemporal EEG/MEG source analysis based on a parametric noise covariance model," IEEE Trans. Biomed. Eng., vol. 49, pp. 533-539, June 2002.