C2.Contribution {CTxCC}R Documentation

Contribution of variable z.var to C^2

Description

Returns contribution of variable z.var to C^2, even if there are no previous variables in the model

Usage

C2.Contribution(z, mean0, W, R, x.var, z.var = NULL)

Arguments

z

observation vector, kx1, where z[x.var, ] correspond to variables already in the model

mean0

Mean vector for multivariate random vector under the null hypothesis. Dimensions: kx1

W

matrix of variables weigths, kxk

R

correlation matrix, kxk

x.var

vector indicating variables already present in the model. length: k-1

z.var

scalar indicating variables to be included. Defaults to NULL, indicating there are no previous variables in the model

Value

C2.k.extra, scalar containing the contribution of variable z to C_k

Author(s)

Dr. Burcu Aytaçoğlu (burcuaytacoglu@gmail.com) Dr. Diana Barraza-Barraza (diana.barraza@ujed.mx), Dr. Víctor G. Tercero-Gómez (victor.tercero@tec.mx), Dr. A. Eduardo Cordero-Franco (lalo.cordero@gmail.com),

References

Paper

Examples

k<-3
sigma0 = matrix(diag(rep(1,k)),ncol = k)
mu0 = matrix(c(0,0,0), ncol = 1)
Weights = diag(c(0.5, 0.25,0.25))

library(mvtnorm)
set.seed(1000)
X = matrix(ncol= 1, data = rmvnorm(n = 1, mean = mu0, sigma = sigma0))
Z = (X - mu0)/sqrt(as.numeric(diag(sigma0)))
Corr<-get.R(Sigma0 = sigma0)

C2.Contribution(z = Z, W = Weights, R = Corr, x.var = 1:2, z.var = 3)


[Package CTxCC version 0.2.0 Index]