Cimproved {MCARtest}R Documentation

Calculate the critical value for our improved test

Description

Calculate a critical value for an MCAR test based on knowledge of the facet structure of the Minkowski sum calculated by ConsMinkSumHrep.

Usage

Cimproved(nS, bS, M, DR, Fp, alpha)

Arguments

nS

A vector of sample sizes, with each entry corresponding to an observation pattern.

bS

A binary matrix specifying the set of observation patterns. Each row encodes a single pattern.

M

A vector of positive integers giving the alphabet sizes of the discrete variables.

DR

The quantity D_R appearing in Berrett and Samworth (2022).

Fp

The quantity F' appearing in Berrett and Samworth (2022).

alpha

The desired significance level \alpha of the test.

Value

The critical value C_\alpha' defined in Berrett and Samworth (2022).

References

Berrett TB, Samworth RJ (2022). “Optimal nonparametric testing of Missing Completely At Random, and its connections to compatibility.” Preprint, arXiv:2205.08627.

Examples

bS=matrix(c(1,1,0, 1,0,1, 0,1,1),byrow=TRUE,ncol=3)
r=4; s=3
M=c(r,s,2)
Cimproved(rep(1000,3),bS,M,1,(2^r-2)*(2^s-2),0.05)

[Package MCARtest version 1.0 Index]