summary.DDL {DDL}

Summarizing DDL

Description

'summary' method for class 'DDL'

Usage

## S3 method for class 'DDL'
summary(object, ...)

Arguments

object

An object of class 'DDL'

...

Ignored

Value

The function 'summary.DDL' returns a list of summary statistics of DDL given 'DDL'

Examples

index = 1
n=100
p=200
s=5
q=3
sigmaE=2
sigma=2
pert=1

H = pert*matrix(rnorm(n*q,mean=0,sd=1),n,q,byrow = TRUE)
Gamma = matrix(rnorm(q*p,mean=0,sd=1),q,p,byrow = TRUE)
#value of X independent from H
E = matrix(rnorm(n*p,mean=0,sd=sigmaE),n,p,byrow = TRUE)

#defined in eq. (2), high-dimensional measured covariates
X = E + H %*% Gamma

delta = matrix(rnorm(q*1,mean=0,sd=1),q,1,byrow = TRUE)

#px1 matrix, creates beta with 1s in the first s entries and the remaining p-s as 0s
beta = matrix(rep(c(1,0),times = c(s,p-s)),p,1,byrow = TRUE)

#nx1 matrix with values of mean 0 and SD of sigma, error in Y independent of X
nu = matrix(rnorm(n*1,mean=0,sd=sigma),n,1,byrow = TRUE)

#eq. (1), the response of the Structural Equation Model
Y = X %*% beta + H %*% delta + nu

result = DDL(X, Y, index)
summary(result)