ProjSepD: Projective separation distance of a design

In LatticeDesign: Lattice-Based Space-Filling Designs

Projective separation distance of a design

Description

Computes the projective separation distance of a design.

Usage

ProjSepD(design);

Arguments

design

The experimental design, must be a matrix whose rows indicate experimental runs.

Details

This function computes the squared projective separation distance of a design.

Value

The value returned from the function gives the squared one-dimensional, two-dimensional, ..., (p-1)-dimensional projective separation distances, and the unprojected separation distance, where p is the number of dimensions of the design.

References

He, Xu (2021). "Lattice-based designs possessing quasi-optimal separation distance on all projections", Biometrika, 108(2): 443-454.

Examples

design = rbind(1:3,c(41,1.2,1.3),c(5.4,5.48,5.7),c(4.3,2.3,2));
ProjSepD(design);

LatticeDesign documentation built on April 3, 2025, 11:04 p.m.