simulateSpatialData: simulate normal distributed data

In angeella/ARIpermutation: Permutation-Based All-Resolutions Inference

simulate normal distributed data

Description

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.

Usage

simulateSpatialData(pi0,m,n, theta, seed = NULL, power = 0.8, alpha = 0.05)

Arguments

pi0	Numeric value in '[0,1]'. Proportion of true null hypothesis.
m	Numeric value. Number of variables.
n	Numeric value. Number of observations.
theta	Numeric value in '[0,1]'. Level of correlation between pairs of variables. See details
seed	Integer value. If you want to specify the seed. Default to to NULL
power	Numeric value in '[0,1]'. Level of power. Default to 0.8.
alpha	Numeric value in '[0,1]'. \alpha level to control the family-wise error rate. Default to 0.05.

Value

Returns a matrix with dimensions m \times n.

Author(s)

Angela Andreella

angeella/ARIpermutation documentation built on Sept. 12, 2024, 5:37 p.m.