Short Course in fMRI Statistics
Faculty: Doug Greve, PhD and Mark Vangel, PhD
This short course will cover the mathematics of the analysis of fMRI, focusing on the analysis of the time series from a single voxel using the general linear model (GLM). This class emphasizes theory -- it is not a how-do-I-analyze-my-functional-data class.
No upcoming courses are scheduled
What will be covered:
Day 1, Morning: Linear algebra refresher (optional). Matrix
operations (addition, multiplication, inversion, etc), fitting data
to a slope and intercept using matrices.
Day 1, Afternoon: Constructing the design matrix with and without
assuming a shape to the hemodynamic response, and the trade-offs of
each. Using basis functions. Nuisance variables. Estimating the
Day 2, Afternoon: Sources of noise. Correlated/colored temporal noise
and whitening. Statistics and testing hypotheses. Creating contrast
matrices, t-test, F-test, false positives, false negatives. The
multiple comparisons problem, and some solutions. Fixed and random
effects group analysis (time permitting).
What will not be covered:
Motion correction, spatial smoothing, Talairaching, ROI, experimental design, software analysis packages, ICA/PCA, MRI physics, k-space reconstruction. There will not be a laboratory.
Prerequisites include familiarity with the conduct and performance of fMRI experiments and some experience in performing fMRI data analysis, including a basic knowledge of matrix algebra and statistics. The course will NOT cover MR physics, but participants are expected to know the fundamental principals of how fMRI signals are generated.
This class will assume that you have a background in linear algebra,
and you might not get much out of the class if you don't understand
something about matrices. There is a linear algebra refresher, but it
is not intended for people who have never worked with matrices
before. To help you screen yourself, we have prepared the following
quiz. If you have no idea how to answer these questions, then you may
want to reconsider taking the class.
What is the difference between a vector and a matrix?
What is the transpose of this 2x2 matrix?
What is the sum of these two 2x2 matrices?
What is the product of these two matrices?
What is the trace of this matrix?
What is the inverse of this matrix?
This course is free but limited to 40 attendees. Please use the form
below to register.
This educational program is jointly sponsored by the Athinoula A. Martinos
Center for Structural and Functional Imaging, the HST MEMP Neuroimaging Training
Program and the MGH/MIT GCRC Biomedical Imaging Core.