Simulate normal distributed data with spatial correlation structure
theta (\(\theta\)) describes how rapidly the correlation declines with respect to the distance between two voxels.
The three-dimensional coordinates of the voxels are defined as all combinations
of vector \(c = (1, \dots, m1/3)\), then \(\Sigma_\theta = \exp(-\theta K)\) where \(K\) is the matrix containing the
euclidean distances between the three-dimensional coordinates' voxels.
So, \(m^{1/3}\) must be an integer value.
simulateSpatialData(pi0,m,n, theta, seed = NULL, power = 0.8, alpha = 0.05)Returns a matrix with dimensions \(m \times n\).
Numeric value in `[0,1]`. Proportion of true null hypothesis.
Numeric value. Number of variables.
Numeric value. Number of observations.
Numeric value in `[0,1]`. Level of correlation between pairs of variables. See details
Integer value. If you want to specify the seed. Default to to NULL
Numeric value in `[0,1]`. Level of power. Default to 0.8.
Numeric value in `[0,1]`. \(\alpha\) level to control the family-wise error rate. Default to 0.05.
Angela Andreella