Table 1.

Notations

j	Subject index
k	Basis function index
l	Condition index
v	Voxel index
n	Sample size
K	Number of basis functions
L	Number of experimental conditions
V	Number of voxels
Bk	Basis function
Tj	Number of brain scans for subject j
yj(v)	fMRI time course for subject j at voxel v
X j	Design matrix for subject j
X jl	Design matrix for subject j, condition l
β(v)	Amplitude parameters for the population HRF at voxel v
γ(v)	Shape parameters for the population HRF at voxel v
ξj(v)	Deviation of subject j from population HRF at voxel v
ξ jl(v)	Deviation of subject j from population HRF for condition l and voxel v
Φ j	Matrix of nuisance signals for subject j
dj (v)	nuisance coefficients for subject j and voxel v
εj(v)	Noise vector for subject j at voxel v
Dξ(v)	Variance coefficients of subject effects at voxel v
T ξ	Correlation matrix for subject effects at voxel v
T ξl	Correlation matrix for subject effects for condition l and voxel v
V εjm	Covariance matrix of the noise for subject j and parcel m
Vj (v)	Covariance matrix of yj (v)