Abstract
Localization and characterization of neuromagnetic sources is often attempted assuming the model of a dipole current source in a spherical homogeneous conductor volume and solving the inverse problem for a given measured external field (Tanday (1987)). Evaluation of experimental results and clinical procedures also requires accurate confidence regions. Statistical methods exist for defining these regions by analyzing the fit of the data to the best fit model prediction without independent estimates of the measurement noise. We have empirically evaluated three of these methods in a Monte Carlo study.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dennis, Jr, J.E. and Schnabel, Robert B. (1983). Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Prentice-Hall Inc., Englewood Cliffs N.J.
Donaldson, Janet R., (1985), Computation Experience with Confidence Regions. Thesis, Univ. of Colorado at Boulder.
Halperin, M. (1963) “Confidence Interval Estimation in Nonlinear Regression”, Journal of the Royal Statistical Society (B), 25(2), pp 330–333.
Hartley, H.O. (1964). “Exact Confidence Regions for the parameters in Nonlinear Regression Laws”, Biometrika, 51(3,4) pp. 347–353.
Maksoudian, Y. Leon (1969). Probability and Statistics, with Applications. International Textbook Co., Scranton, PA. Pg. 188.
Tanday, B.S. and Swithenby, S.J. (1987). “Analysis of Magnetoencephalographic data using the homogeneous sphere model: empirical tests”, Physics in Medicine and Biology, 32(1), pp. 105–413.
Williams, E.J. (1962). “Exact Fiducial Limits in Nonlinear Estimation”, Journal of the Royal Statistical Society (B), 24(1), pp.125–139.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1989 Plenum Press, New York
About this chapter
Cite this chapter
Goldstein, L., Teale, P., Reite, M. (1989). Monte Carlo Study of Confidence Region Accuracy for MEG Inverse Dipole Solutions. In: Williamson, S.J., Hoke, M., Stroink, G., Kotani, M. (eds) Advances in Biomagnetism. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0581-1_121
Download citation
DOI: https://doi.org/10.1007/978-1-4613-0581-1_121
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-7876-4
Online ISBN: 978-1-4613-0581-1
eBook Packages: Springer Book Archive