M: Computes an inconsistency index for a collection of means.

In MCARtest: Optimal Nonparametric Testing of Missing Completely at Random

Computes an inconsistency index for a collection of means.

Description

A function that computes the inconsistency index M(\mu_\mathbb{S}) for a collection of means, as defined in Algorithm 2 in Section 6 of \insertCiteBB2024;textualMCARtest.

Usage

M(mu_S, patterns)

Arguments

mu_S	A list of means \mu_\mathbb{S}.
patterns	A list of missingness patterns.

Value

The value of M().

References

\insertRef

BB2024MCARtest

Examples

library(MASS)

d = 3
n = 200
SigmaS=list() #Random 2x2 correlation matrices (necessarily consistent)
for(j in 1:d){
x=runif(2,min=-1,max=1); y=runif(2,min=-1,max=1); SigmaS[[j]]=cov2cor(x%*%t(x) + y%*%t(y))
}

X = data.frame(matrix(nrow = 3*n, ncol = 3))
X[1:n, c(1,2)] = mvrnorm(n, c(0,0), SigmaS[[1]])
X[(n+1):(2*n), c(2, 3)] = mvrnorm(n, c(0,0), SigmaS[[2]])
X[(2*n+1):(3*n), c(1, 3)] = mvrnorm(n, c(0,0), SigmaS[[3]])
X = as.matrix(X)

tmp = get_SigmaS(X)
M(tmp$mu_S, tmp$patterns)

MCARtest documentation built on June 26, 2025, 5:08 p.m.